%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:43:47 PM UTC 2026
% Result : Theorem 164.54s 164.86s
% Output : CNFRefutation 164.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 19:37:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 164.54/164.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 164.54/164.86
% 164.54/164.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 164.54/164.89 fof(sos_01, axiom, (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C)))).
% 164.54/164.89
% 164.54/164.89 fof(sos_02, axiom, (! [A, B] : add(A, B) = add(B, A))).
% 164.54/164.89
% 164.54/164.89 fof(sos_03, axiom, (! [A] : add(A, 0) = A)).
% 164.54/164.89
% 164.54/164.89 fof(sos_04, axiom, (! [A] : greater_equal(A, A))).
% 164.54/164.89
% 164.54/164.89 fof(sos_06, axiom,
% 164.54/164.89 (! [X3, X4] :
% 164.54/164.89 ((greater_equal(X3, X4) & greater_equal(X4, X3)) => X3 = X4))).
% 164.54/164.89
% 164.54/164.89 fof(sos_07, axiom,
% 164.54/164.89 (! [X5, X6, X7] :
% 164.54/164.89 (greater_equal(add(X5, X6), X7) <=>
% 164.54/164.89 greater_equal(X6, '==>'(X5, X7))))).
% 164.54/164.89
% 164.54/164.89 fof(sos_08, axiom, (! [A] : greater_equal(A, 0))).
% 164.54/164.89
% 164.54/164.89 fof(sos_09, axiom,
% 164.54/164.89 (! [X8, X9, X10] :
% 164.54/164.89 (greater_equal(X8, X9) =>
% 164.54/164.89 greater_equal(add(X8, X10), add(X9, X10))))).
% 164.54/164.89
% 164.54/164.89 fof(sos_10, axiom,
% 164.54/164.89 (! [X11, X12, X13] :
% 164.54/164.89 (greater_equal(X11, X12) =>
% 164.54/164.89 greater_equal('==>'(X12, X13), '==>'(X11, X13))))).
% 164.54/164.89
% 164.54/164.89 fof(sos_11, axiom,
% 164.54/164.89 (! [X14, X15, X16] :
% 164.54/164.89 (greater_equal(X14, X15) =>
% 164.54/164.89 greater_equal('==>'(X16, X14), '==>'(X16, X15))))).
% 164.54/164.89
% 164.54/164.89 fof(sos_12, axiom, (! [A] : add(A, 1) = 1)).
% 164.54/164.89
% 164.54/164.89 fof(sos_13, axiom,
% 164.54/164.89 (! [A, B] : '==>'('==>'(A, B), B) = '==>'('==>'(B, A), A))).
% 164.54/164.89
% 164.54/164.89 fof(goals_14, conjecture,
% 164.54/164.89 (! [X17, X18] :
% 164.54/164.89 add(X17, '==>'(X17, X18)) = add(X18, '==>'(X18, X17)))).
% 164.54/164.89
% 164.54/164.89 fof(subgoal_0, plain,
% 164.54/164.89 (! [X17, X18] : add(X17, '==>'(X17, X18)) = add(X18, '==>'(X18, X17))),
% 164.54/164.89 inference(strip, [], [goals_14])).
% 164.54/164.89
% 164.54/164.89 fof(negate_0_0, plain,
% 164.54/164.89 (~
% 164.54/164.89 ! [X17, X18] :
% 164.54/164.89 add(X17, '==>'(X17, X18)) = add(X18, '==>'(X18, X17))),
% 164.54/164.89 inference(negate, [], [subgoal_0])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_0, plain,
% 164.54/164.89 (? [X17, X18] :
% 164.54/164.89 add(X17, '==>'(X17, X18)) != add(X18, '==>'(X18, X17))),
% 164.54/164.89 inference(canonicalize, [], [negate_0_0])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_1, plain,
% 164.54/164.89 (add(skolemFOFtoCNF_X17,
% 164.54/164.89 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 164.54/164.89 add(skolemFOFtoCNF_X18,
% 164.54/164.89 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 164.54/164.89 inference(skolemize, [], [normalize_0_0])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_2, plain,
% 164.54/164.89 (! [A, B] : '==>'('==>'(A, B), B) = '==>'('==>'(B, A), A)),
% 164.54/164.89 inference(canonicalize, [], [sos_13])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_3, plain,
% 164.54/164.89 (! [A, B] : '==>'('==>'(A, B), B) = '==>'('==>'(B, A), A)),
% 164.54/164.89 inference(specialize, [], [normalize_0_2])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_4, plain, (! [A] : greater_equal(A, 0)),
% 164.54/164.89 inference(canonicalize, [], [sos_08])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_5, plain, (! [A] : greater_equal(A, 0)),
% 164.54/164.89 inference(specialize, [], [normalize_0_4])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_6, plain,
% 164.54/164.89 (! [X3, X4] :
% 164.54/164.89 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 164.54/164.89 inference(canonicalize, [], [sos_06])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_7, plain,
% 164.54/164.89 (! [X3, X4] :
% 164.54/164.89 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 164.54/164.89 inference(specialize, [], [normalize_0_6])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_8, plain,
% 164.54/164.89 (! [X5, X6, X7] :
% 164.54/164.89 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 164.54/164.89 ~ greater_equal(add(X5, X6), X7))),
% 164.54/164.89 inference(canonicalize, [], [sos_07])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_9, plain,
% 164.54/164.89 (! [X5, X6, X7] :
% 164.54/164.89 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 164.54/164.89 ~ greater_equal(add(X5, X6), X7))),
% 164.54/164.89 inference(specialize, [], [normalize_0_8])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_10, plain,
% 164.54/164.89 (! [X5, X6, X7] :
% 164.54/164.89 ((~ greater_equal(X6, '==>'(X5, X7)) |
% 164.54/164.89 greater_equal(add(X5, X6), X7)) &
% 164.54/164.89 (~ greater_equal(add(X5, X6), X7) |
% 164.54/164.89 greater_equal(X6, '==>'(X5, X7))))),
% 164.54/164.89 inference(clausify, [], [normalize_0_9])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_11, plain,
% 164.54/164.89 (! [X5, X6, X7] :
% 164.54/164.89 (~ greater_equal(X6, '==>'(X5, X7)) |
% 164.54/164.89 greater_equal(add(X5, X6), X7))),
% 164.54/164.89 inference(conjunct, [], [normalize_0_10])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_12, plain, (! [A] : greater_equal(A, A)),
% 164.54/164.89 inference(canonicalize, [], [sos_04])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_13, plain, (! [A] : greater_equal(A, A)),
% 164.54/164.89 inference(specialize, [], [normalize_0_12])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_14, plain,
% 164.54/164.89 (! [X5, X6, X7] :
% 164.54/164.89 (~ greater_equal(add(X5, X6), X7) |
% 164.54/164.89 greater_equal(X6, '==>'(X5, X7)))),
% 164.54/164.89 inference(conjunct, [], [normalize_0_10])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_15, plain, (! [A] : add(A, 0) = A),
% 164.54/164.89 inference(canonicalize, [], [sos_03])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_16, plain, (! [A] : add(A, 0) = A),
% 164.54/164.89 inference(specialize, [], [normalize_0_15])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_17, plain,
% 164.54/164.89 (! [X8, X9] :
% 164.54/164.89 (~ greater_equal(X8, X9) |
% 164.54/164.89 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 164.54/164.89 inference(canonicalize, [], [sos_09])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_18, plain,
% 164.54/164.89 (! [X8, X9] :
% 164.54/164.89 (~ greater_equal(X8, X9) |
% 164.54/164.89 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 164.54/164.89 inference(specialize, [], [normalize_0_17])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_19, plain,
% 164.54/164.89 (! [X10, X8, X9] :
% 164.54/164.89 (~ greater_equal(X8, X9) |
% 164.54/164.89 greater_equal(add(X8, X10), add(X9, X10)))),
% 164.54/164.89 inference(clausify, [], [normalize_0_18])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_20, plain, (! [A, B] : add(A, B) = add(B, A)),
% 164.54/164.89 inference(canonicalize, [], [sos_02])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_21, plain, (! [A, B] : add(A, B) = add(B, A)),
% 164.54/164.89 inference(specialize, [], [normalize_0_20])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_22, plain,
% 164.54/164.89 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 164.54/164.89 inference(canonicalize, [], [sos_01])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_23, plain,
% 164.54/164.89 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 164.54/164.89 inference(specialize, [], [normalize_0_22])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_24, plain, (! [A] : add(A, 1) = 1),
% 164.54/164.89 inference(canonicalize, [], [sos_12])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_25, plain, (! [A] : add(A, 1) = 1),
% 164.54/164.89 inference(specialize, [], [normalize_0_24])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_26, plain,
% 164.54/164.89 (! [X11, X12] :
% 164.54/164.89 (~ greater_equal(X11, X12) |
% 164.54/164.89 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 164.54/164.89 inference(canonicalize, [], [sos_10])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_27, plain,
% 164.54/164.89 (! [X11, X12] :
% 164.54/164.89 (~ greater_equal(X11, X12) |
% 164.54/164.89 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 164.54/164.89 inference(specialize, [], [normalize_0_26])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_28, plain,
% 164.54/164.89 (! [X11, X12, X13] :
% 164.54/164.89 (~ greater_equal(X11, X12) |
% 164.54/164.89 greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 164.54/164.89 inference(clausify, [], [normalize_0_27])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_29, plain,
% 164.54/164.89 (! [X14, X15] :
% 164.54/164.89 (~ greater_equal(X14, X15) |
% 164.54/164.89 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 164.54/164.89 inference(canonicalize, [], [sos_11])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_30, plain,
% 164.54/164.89 (! [X14, X15] :
% 164.54/164.89 (~ greater_equal(X14, X15) |
% 164.54/164.89 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 164.54/164.89 inference(specialize, [], [normalize_0_29])).
% 164.54/164.89
% 164.54/164.89 fof(normalize_0_31, plain,
% 164.54/164.89 (! [X14, X15, X16] :
% 164.54/164.89 (~ greater_equal(X14, X15) |
% 164.54/164.89 greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 164.54/164.89 inference(clausify, [], [normalize_0_30])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_0, plain,
% 164.54/164.89 (add(skolemFOFtoCNF_X17,
% 164.54/164.89 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 164.54/164.89 add(skolemFOFtoCNF_X18,
% 164.54/164.89 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_1])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_1, plain, ('==>'('==>'(A, B), B) = '==>'('==>'(B, A), A)),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_3])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_2, plain,
% 164.54/164.89 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.54/164.89 add(X_2837, '==>'(X_2837, X_2838))),
% 164.54/164.89 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.54/164.89 '==>'('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.54/164.89 add(X_2838, '==>'(X_2838, X_2837))),
% 164.54/164.89 add(X_2838, '==>'(X_2838, X_2837)))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_1 :
% 164.54/164.89 [bind(A, $fot(add(X_2838, '==>'(X_2838, X_2837)))),
% 164.54/164.89 bind(B, $fot(add(X_2837, '==>'(X_2837, X_2838))))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_3, plain, (greater_equal(A, 0)),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_5])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_4, plain, (greater_equal(X_308, 0)),
% 164.54/164.89 inference(subst, [], [refute_0_3 : [bind(A, $fot(X_308))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_5, plain,
% 164.54/164.89 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_7])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_6, plain,
% 164.54/164.89 (~ greater_equal(X_308, 0) | ~ greater_equal(0, X_308) | X_308 = 0),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_5 : [bind(X3, $fot(X_308)), bind(X4, $fot(0))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_7, plain, (~ greater_equal(0, X_308) | X_308 = 0),
% 164.54/164.89 inference(resolve, [$cnf(greater_equal(X_308, 0))],
% 164.54/164.89 [refute_0_4, refute_0_6])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_8, plain,
% 164.54/164.89 (~
% 164.54/164.89 greater_equal(0,
% 164.54/164.89 '==>'(add(X_1110,
% 164.54/164.89 add(X_1112, '==>'(X_1112, '==>'(X_1110, X_1111)))), X_1111)) |
% 164.54/164.89 '==>'(add(X_1110, add(X_1112, '==>'(X_1112, '==>'(X_1110, X_1111)))),
% 164.54/164.89 X_1111) = 0),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_7 :
% 164.54/164.89 [bind(X_308,
% 164.54/164.89 $fot('==>'(add(X_1110,
% 164.54/164.89 add(X_1112,
% 164.54/164.89 '==>'(X_1112, '==>'(X_1110, X_1111)))),
% 164.54/164.89 X_1111)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_9, plain,
% 164.54/164.89 (~ greater_equal(X6, '==>'(X5, X7)) | greater_equal(add(X5, X6), X7)),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_11])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_10, plain,
% 164.54/164.89 (~
% 164.54/164.89 greater_equal(add(X_82, '==>'(X_82, '==>'(X5, X7))),
% 164.54/164.89 '==>'(X5, X7)) |
% 164.54/164.89 greater_equal(add(X5, add(X_82, '==>'(X_82, '==>'(X5, X7)))), X7)),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_9 :
% 164.54/164.89 [bind(X6, $fot(add(X_82, '==>'(X_82, '==>'(X5, X7)))))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_11, plain, (greater_equal(A, A)),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_13])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_12, plain,
% 164.54/164.89 (greater_equal('==>'(X_79, X_81), '==>'(X_79, X_81))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_11 : [bind(A, $fot('==>'(X_79, X_81)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_13, plain,
% 164.54/164.89 (~ greater_equal('==>'(X_79, X_81), '==>'(X_79, X_81)) |
% 164.54/164.89 greater_equal(add(X_79, '==>'(X_79, X_81)), X_81)),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_9 :
% 164.54/164.89 [bind(X5, $fot(X_79)), bind(X6, $fot('==>'(X_79, X_81))),
% 164.54/164.89 bind(X7, $fot(X_81))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_14, plain,
% 164.54/164.89 (greater_equal(add(X_79, '==>'(X_79, X_81)), X_81)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf(greater_equal('==>'(X_79, X_81), '==>'(X_79, X_81)))],
% 164.54/164.89 [refute_0_12, refute_0_13])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_15, plain,
% 164.54/164.89 (greater_equal(add(X_82, '==>'(X_82, '==>'(X5, X7))), '==>'(X5, X7))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_14 :
% 164.54/164.89 [bind(X_79, $fot(X_82)),
% 164.54/164.89 bind(X_81, $fot('==>'(X5, X7)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_16, plain,
% 164.54/164.89 (greater_equal(add(X5, add(X_82, '==>'(X_82, '==>'(X5, X7)))), X7)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf(greater_equal(add(X_82, '==>'(X_82, '==>'(X5, X7))),
% 164.54/164.89 '==>'(X5, X7)))], [refute_0_15, refute_0_10])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_17, plain,
% 164.54/164.89 (greater_equal(add(X5, add(X_82, '==>'(X_82, '==>'(X5, X_1042)))),
% 164.54/164.89 X_1042)),
% 164.54/164.89 inference(subst, [], [refute_0_16 : [bind(X7, $fot(X_1042))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_18, plain,
% 164.54/164.89 (~ greater_equal(add(X5, X6), X7) | greater_equal(X6, '==>'(X5, X7))),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_14])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_19, plain,
% 164.54/164.89 (~ greater_equal(add(X_106, 0), X_108) |
% 164.54/164.89 greater_equal(0, '==>'(X_106, X_108))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_18 :
% 164.54/164.89 [bind(X5, $fot(X_106)), bind(X6, $fot(0)),
% 164.54/164.89 bind(X7, $fot(X_108))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_20, plain, (add(A, 0) = A),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_16])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_21, plain, (add(X_106, 0) = X_106),
% 164.54/164.89 inference(subst, [], [refute_0_20 : [bind(A, $fot(X_106))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_22, plain,
% 164.54/164.89 (add(X_106, 0) != X_106 | ~ greater_equal(X_106, X_108) |
% 164.54/164.89 greater_equal(add(X_106, 0), X_108)),
% 164.54/164.89 introduced(tautology,
% 164.54/164.89 [equality,
% 164.54/164.89 [$cnf(~ greater_equal(add(X_106, 0), X_108)), [0],
% 164.54/164.89 $fot(X_106)]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_23, plain,
% 164.54/164.89 (~ greater_equal(X_106, X_108) | greater_equal(add(X_106, 0), X_108)),
% 164.54/164.89 inference(resolve, [$cnf($equal(add(X_106, 0), X_106))],
% 164.54/164.89 [refute_0_21, refute_0_22])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_24, plain,
% 164.54/164.89 (~ greater_equal(X_106, X_108) |
% 164.54/164.89 greater_equal(0, '==>'(X_106, X_108))),
% 164.54/164.89 inference(resolve, [$cnf(greater_equal(add(X_106, 0), X_108))],
% 164.54/164.89 [refute_0_23, refute_0_19])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_25, plain,
% 164.54/164.89 (~
% 164.54/164.89 greater_equal(add(X5, add(X_82, '==>'(X_82, '==>'(X5, X_1042)))),
% 164.54/164.89 X_1042) |
% 164.54/164.89 greater_equal(0,
% 164.54/164.89 '==>'(add(X5, add(X_82, '==>'(X_82, '==>'(X5, X_1042)))), X_1042))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_24 :
% 164.54/164.89 [bind(X_106,
% 164.54/164.89 $fot(add(X5,
% 164.54/164.89 add(X_82, '==>'(X_82, '==>'(X5, X_1042)))))),
% 164.54/164.89 bind(X_108, $fot(X_1042))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_26, plain,
% 164.54/164.89 (greater_equal(0,
% 164.54/164.89 '==>'(add(X5, add(X_82, '==>'(X_82, '==>'(X5, X_1042)))), X_1042))),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf(greater_equal(add(X5,
% 164.54/164.89 add(X_82, '==>'(X_82, '==>'(X5, X_1042)))),
% 164.54/164.89 X_1042))], [refute_0_17, refute_0_25])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_27, plain,
% 164.54/164.89 (greater_equal(0,
% 164.54/164.89 '==>'(add(X_1110,
% 164.54/164.89 add(X_1112, '==>'(X_1112, '==>'(X_1110, X_1111)))), X_1111))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_26 :
% 164.54/164.89 [bind(X5, $fot(X_1110)), bind(X_1042, $fot(X_1111)),
% 164.54/164.89 bind(X_82, $fot(X_1112))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_28, plain,
% 164.54/164.89 ('==>'(add(X_1110, add(X_1112, '==>'(X_1112, '==>'(X_1110, X_1111)))),
% 164.54/164.89 X_1111) = 0),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf(greater_equal(0,
% 164.54/164.89 '==>'(add(X_1110,
% 164.54/164.89 add(X_1112,
% 164.54/164.89 '==>'(X_1112, '==>'(X_1110, X_1111)))),
% 164.54/164.89 X_1111)))], [refute_0_27, refute_0_8])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_29, plain,
% 164.54/164.89 ('==>'(add('==>'(X_1112, X_2814),
% 164.54/164.89 add(X_1112,
% 164.54/164.89 '==>'(X_1112,
% 164.54/164.89 '==>'('==>'(X_1112, X_2814),
% 164.54/164.89 add(X_2814, '==>'(X_2814, X_1112)))))),
% 164.54/164.89 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_28 :
% 164.54/164.89 [bind(X_1110, $fot('==>'(X_1112, X_2814))),
% 164.54/164.89 bind(X_1111, $fot(add(X_2814, '==>'(X_2814, X_1112))))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_30, plain,
% 164.54/164.89 ('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) =
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A)),
% 164.54/164.89 inference(subst, [], [refute_0_1 : [bind(B, $fot('==>'(X_8, A)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_31, plain,
% 164.54/164.89 ('==>'('==>'(X_8, A), A) = '==>'('==>'(A, X_8), X_8)),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_1 : [bind(A, $fot(X_8)), bind(B, $fot(A))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_32, plain,
% 164.54/164.89 ('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) !=
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A) |
% 164.54/164.89 '==>'('==>'(X_8, A), A) != '==>'('==>'(A, X_8), X_8) |
% 164.54/164.89 '==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) =
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.54/164.89 introduced(tautology,
% 164.54/164.89 [equality,
% 164.54/164.89 [$cnf($equal('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)),
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A))), [1, 0],
% 164.54/164.89 $fot('==>'('==>'(A, X_8), X_8))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_33, plain,
% 164.54/164.89 ('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) !=
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A) |
% 164.54/164.89 '==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) =
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'(X_8, A), A),
% 164.54/164.89 '==>'('==>'(A, X_8), X_8)))],
% 164.54/164.89 [refute_0_31, refute_0_32])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_34, plain,
% 164.54/164.89 ('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) =
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)),
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A)))],
% 164.54/164.89 [refute_0_30, refute_0_33])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_35, plain,
% 164.54/164.89 ('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) !=
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A) |
% 164.54/164.89 '==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) !=
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A) =
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.54/164.89 introduced(tautology,
% 164.54/164.89 [equality,
% 164.54/164.89 [$cnf($equal('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)),
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A))), [0],
% 164.54/164.89 $fot('==>'('==>'('==>'(X_8, A), A), A))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_36, plain,
% 164.54/164.89 ('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)) !=
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A) =
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)),
% 164.54/164.89 '==>'('==>'('==>'(X_8, A), A), A)))],
% 164.54/164.89 [refute_0_30, refute_0_35])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_37, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, A), A), A) =
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'(A, '==>'(X_8, A)), '==>'(X_8, A)),
% 164.54/164.89 '==>'('==>'('==>'(A, X_8), X_8), A)))],
% 164.54/164.89 [refute_0_34, refute_0_36])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_38, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_37 :
% 164.54/164.89 [bind(A, $fot('==>'('==>'(X_8, X_14), X_14)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_39, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_14, X_8), X_8), X_8) =
% 164.54/164.89 '==>'('==>'('==>'(X_8, X_14), X_14), X_8)),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_37 :
% 164.54/164.89 [bind(A, $fot(X_8)), bind(X_8, $fot(X_14))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_40, plain, (X = X), introduced(tautology, [refl, [$fot(X)]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_41, plain, (X != X | X != Y | Y = X),
% 164.54/164.89 introduced(tautology, [equality, [$cnf($equal(X, X)), [0], $fot(Y)]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_42, plain, (X != Y | Y = X),
% 164.54/164.89 inference(resolve, [$cnf($equal(X, X))], [refute_0_40, refute_0_41])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_43, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_14, X_8), X_8), X_8) !=
% 164.54/164.89 '==>'('==>'('==>'(X_8, X_14), X_14), X_8) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, X_14), X_14), X_8) =
% 164.54/164.89 '==>'('==>'('==>'(X_14, X_8), X_8), X_8)),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_42 :
% 164.54/164.89 [bind(X, $fot('==>'('==>'('==>'(X_14, X_8), X_8), X_8))),
% 164.54/164.89 bind(Y,
% 164.54/164.89 $fot('==>'('==>'('==>'(X_8, X_14), X_14), X_8)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_44, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, X_14), X_14), X_8) =
% 164.54/164.89 '==>'('==>'('==>'(X_14, X_8), X_8), X_8)),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'('==>'(X_8, X_14), X_14), X_8)))],
% 164.54/164.89 [refute_0_39, refute_0_43])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_45, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, X_14), X_14), X_8) !=
% 164.54/164.89 '==>'('==>'('==>'(X_14, X_8), X_8), X_8) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) !=
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 introduced(tautology,
% 164.54/164.89 [equality,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_8,
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.54/164.89 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)))),
% 164.54/164.89 [1, 0, 0],
% 164.54/164.89 $fot('==>'('==>'('==>'(X_14, X_8), X_8), X_8))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_46, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) !=
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_8, X_14), X_14), X_8),
% 164.54/164.89 '==>'('==>'('==>'(X_14, X_8), X_8), X_8)))],
% 164.54/164.89 [refute_0_44, refute_0_45])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_47, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_8,
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.54/164.89 X_8), X_8), '==>'('==>'(X_8, X_14), X_14))))],
% 164.54/164.89 [refute_0_38, refute_0_46])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_48, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) !=
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) |
% 164.54/164.89 '==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) !=
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) |
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 introduced(tautology,
% 164.54/164.89 [equality,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_8,
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8),
% 164.54/164.89 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)))),
% 164.54/164.89 [0],
% 164.54/164.89 $fot('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.54/164.89 X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_49, plain,
% 164.54/164.89 ('==>'('==>'('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)), '==>'('==>'(X_8, X_14), X_14)) !=
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) |
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_8,
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.54/164.89 X_8), X_8), '==>'('==>'(X_8, X_14), X_14))))],
% 164.54/164.89 [refute_0_38, refute_0_48])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_50, plain,
% 164.54/164.89 ('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)) =
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14))),
% 164.54/164.89 inference(resolve,
% 164.54/164.89 [$cnf($equal('==>'('==>'('==>'(X_8,
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'(X_8, X_14), X_14)),
% 164.54/164.89 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.54/164.89 X_8), '==>'('==>'(X_8, X_14), X_14))))],
% 164.54/164.89 [refute_0_47, refute_0_49])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_51, plain,
% 164.54/164.89 (~ greater_equal(add(X5, X6), '==>'(X_111, add(X5, X6))) |
% 164.54/164.89 greater_equal(X6, '==>'(X5, '==>'(X_111, add(X5, X6))))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_18 :
% 164.54/164.89 [bind(X7, $fot('==>'(X_111, add(X5, X6))))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_52, plain, (greater_equal(X_25, 0)),
% 164.54/164.89 inference(subst, [], [refute_0_3 : [bind(A, $fot(X_25))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_53, plain,
% 164.54/164.89 (~ greater_equal(X8, X9) | greater_equal(add(X8, X10), add(X9, X10))),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_19])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_54, plain,
% 164.54/164.89 (~ greater_equal(X_25, 0) |
% 164.54/164.89 greater_equal(add(X_25, X_24), add(0, X_24))),
% 164.54/164.89 inference(subst, [],
% 164.54/164.89 [refute_0_53 :
% 164.54/164.89 [bind(X10, $fot(X_24)), bind(X8, $fot(X_25)),
% 164.54/164.89 bind(X9, $fot(0))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_55, plain, (greater_equal(add(X_25, X_24), add(0, X_24))),
% 164.54/164.89 inference(resolve, [$cnf(greater_equal(X_25, 0))],
% 164.54/164.89 [refute_0_52, refute_0_54])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_56, plain, (add(A, B) = add(B, A)),
% 164.54/164.89 inference(canonicalize, [], [normalize_0_21])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_57, plain, (add(A, 0) = add(0, A)),
% 164.54/164.89 inference(subst, [], [refute_0_56 : [bind(B, $fot(0))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_58, plain,
% 164.54/164.89 (add(A, 0) != A | add(A, 0) != add(0, A) | add(0, A) = A),
% 164.54/164.89 introduced(tautology,
% 164.54/164.89 [equality,
% 164.54/164.89 [$cnf($equal(add(A, 0), A)), [0], $fot(add(0, A))]])).
% 164.54/164.89
% 164.54/164.89 cnf(refute_0_59, plain, (add(A, 0) != A | add(0, A) = A),
% 164.54/164.89 inference(resolve, [$cnf($equal(add(A, 0), add(0, A)))],
% 164.54/164.90 [refute_0_57, refute_0_58])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_60, plain, (add(0, A) = A),
% 164.54/164.90 inference(resolve, [$cnf($equal(add(A, 0), A))],
% 164.54/164.90 [refute_0_20, refute_0_59])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_61, plain, (add(0, X_24) = X_24),
% 164.54/164.90 inference(subst, [], [refute_0_60 : [bind(A, $fot(X_24))]])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_62, plain,
% 164.54/164.90 (add(0, X_24) != X_24 |
% 164.54/164.90 ~ greater_equal(add(X_25, X_24), add(0, X_24)) |
% 164.54/164.90 greater_equal(add(X_25, X_24), X_24)),
% 164.54/164.90 introduced(tautology,
% 164.54/164.90 [equality,
% 164.54/164.90 [$cnf(greater_equal(add(X_25, X_24), add(0, X_24))), [1],
% 164.54/164.90 $fot(X_24)]])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_63, plain,
% 164.54/164.90 (~ greater_equal(add(X_25, X_24), add(0, X_24)) |
% 164.54/164.90 greater_equal(add(X_25, X_24), X_24)),
% 164.54/164.90 inference(resolve, [$cnf($equal(add(0, X_24), X_24))],
% 164.54/164.90 [refute_0_61, refute_0_62])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_64, plain, (greater_equal(add(X_25, X_24), X_24)),
% 164.54/164.90 inference(resolve,
% 164.54/164.90 [$cnf(greater_equal(add(X_25, X_24), add(0, X_24)))],
% 164.54/164.90 [refute_0_55, refute_0_63])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_65, plain, (greater_equal(add(X_106, X_108), X_108)),
% 164.54/164.90 inference(subst, [],
% 164.54/164.90 [refute_0_64 :
% 164.54/164.90 [bind(X_24, $fot(X_108)), bind(X_25, $fot(X_106))]])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_66, plain,
% 164.54/164.90 (~ greater_equal(add(X_106, X_108), X_108) |
% 164.54/164.90 greater_equal(X_108, '==>'(X_106, X_108))),
% 164.54/164.90 inference(subst, [],
% 164.54/164.90 [refute_0_18 :
% 164.54/164.90 [bind(X5, $fot(X_106)), bind(X6, $fot(X_108)),
% 164.54/164.90 bind(X7, $fot(X_108))]])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_67, plain, (greater_equal(X_108, '==>'(X_106, X_108))),
% 164.54/164.90 inference(resolve, [$cnf(greater_equal(add(X_106, X_108), X_108))],
% 164.54/164.90 [refute_0_65, refute_0_66])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_68, plain,
% 164.54/164.90 (greater_equal(add(X5, X6), '==>'(X_111, add(X5, X6)))),
% 164.54/164.90 inference(subst, [],
% 164.54/164.90 [refute_0_67 :
% 164.54/164.90 [bind(X_106, $fot(X_111)),
% 164.54/164.90 bind(X_108, $fot(add(X5, X6)))]])).
% 164.54/164.90
% 164.54/164.90 cnf(refute_0_69, plain,
% 164.54/164.90 (greater_equal(X6, '==>'(X5, '==>'(X_111, add(X5, X6))))),
% 164.54/164.90 inference(resolve,
% 164.54/164.90 [$cnf(greater_equal(add(X5, X6),
% 164.64/164.90 '==>'(X_111, add(X5, X6))))],
% 164.64/164.90 [refute_0_68, refute_0_51])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_70, plain,
% 164.64/164.90 (greater_equal(0, '==>'(X_146, '==>'(X_148, add(X_146, 0))))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_69 :
% 164.64/164.90 [bind(X5, $fot(X_146)), bind(X6, $fot(0)),
% 164.64/164.90 bind(X_111, $fot(X_148))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_71, plain, (add(X_146, 0) = X_146),
% 164.64/164.90 inference(subst, [], [refute_0_20 : [bind(A, $fot(X_146))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_72, plain,
% 164.64/164.90 (add(X_146, 0) != X_146 |
% 164.64/164.90 ~ greater_equal(0, '==>'(X_146, '==>'(X_148, add(X_146, 0)))) |
% 164.64/164.90 greater_equal(0, '==>'(X_146, '==>'(X_148, X_146)))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf(greater_equal(0,
% 164.64/164.90 '==>'(X_146, '==>'(X_148, add(X_146, 0))))),
% 164.64/164.90 [1, 1, 1], $fot(X_146)]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_73, plain,
% 164.64/164.90 (~ greater_equal(0, '==>'(X_146, '==>'(X_148, add(X_146, 0)))) |
% 164.64/164.90 greater_equal(0, '==>'(X_146, '==>'(X_148, X_146)))),
% 164.64/164.90 inference(resolve, [$cnf($equal(add(X_146, 0), X_146))],
% 164.64/164.90 [refute_0_71, refute_0_72])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_74, plain,
% 164.64/164.90 (greater_equal(0, '==>'(X_146, '==>'(X_148, X_146)))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(0,
% 164.64/164.90 '==>'(X_146, '==>'(X_148, add(X_146, 0)))))],
% 164.64/164.90 [refute_0_70, refute_0_73])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_75, plain,
% 164.64/164.90 (greater_equal(0, '==>'(X_149, '==>'('==>'(B, X_149), X_149)))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_74 :
% 164.64/164.90 [bind(X_146, $fot(X_149)),
% 164.64/164.90 bind(X_148, $fot('==>'(B, X_149)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_76, plain,
% 164.64/164.90 ('==>'('==>'(X_149, B), B) = '==>'('==>'(B, X_149), X_149)),
% 164.64/164.90 inference(subst, [], [refute_0_1 : [bind(A, $fot(X_149))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_77, plain,
% 164.64/164.90 ('==>'('==>'(X_149, B), B) != '==>'('==>'(B, X_149), X_149) |
% 164.64/164.90 '==>'('==>'(B, X_149), X_149) = '==>'('==>'(X_149, B), B)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_42 :
% 164.64/164.90 [bind(X, $fot('==>'('==>'(X_149, B), B))),
% 164.64/164.90 bind(Y, $fot('==>'('==>'(B, X_149), X_149)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_78, plain,
% 164.64/164.90 ('==>'('==>'(B, X_149), X_149) = '==>'('==>'(X_149, B), B)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'(X_149, B), B),
% 164.64/164.90 '==>'('==>'(B, X_149), X_149)))],
% 164.64/164.90 [refute_0_76, refute_0_77])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_79, plain,
% 164.64/164.90 ('==>'('==>'(B, X_149), X_149) != '==>'('==>'(X_149, B), B) |
% 164.64/164.90 ~ greater_equal(0, '==>'(X_149, '==>'('==>'(B, X_149), X_149))) |
% 164.64/164.90 greater_equal(0, '==>'(X_149, '==>'('==>'(X_149, B), B)))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf(greater_equal(0,
% 164.64/164.90 '==>'(X_149, '==>'('==>'(B, X_149), X_149)))),
% 164.64/164.90 [1, 1], $fot('==>'('==>'(X_149, B), B))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_80, plain,
% 164.64/164.90 (~ greater_equal(0, '==>'(X_149, '==>'('==>'(B, X_149), X_149))) |
% 164.64/164.90 greater_equal(0, '==>'(X_149, '==>'('==>'(X_149, B), B)))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'(B, X_149), X_149),
% 164.64/164.90 '==>'('==>'(X_149, B), B)))],
% 164.64/164.90 [refute_0_78, refute_0_79])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_81, plain,
% 164.64/164.90 (greater_equal(0, '==>'(X_149, '==>'('==>'(X_149, B), B)))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(0,
% 164.64/164.90 '==>'(X_149, '==>'('==>'(B, X_149), X_149))))],
% 164.64/164.90 [refute_0_75, refute_0_80])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_82, plain,
% 164.64/164.90 (~ greater_equal(0, '==>'(X_149, '==>'('==>'(X_149, B), B))) |
% 164.64/164.90 '==>'(X_149, '==>'('==>'(X_149, B), B)) = 0),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_7 :
% 164.64/164.90 [bind(X_308,
% 164.64/164.90 $fot('==>'(X_149, '==>'('==>'(X_149, B), B))))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_83, plain, ('==>'(X_149, '==>'('==>'(X_149, B), B)) = 0),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(0,
% 164.64/164.90 '==>'(X_149, '==>'('==>'(X_149, B), B))))],
% 164.64/164.90 [refute_0_81, refute_0_82])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_84, plain, ('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)) = 0),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_83 :
% 164.64/164.90 [bind(B, $fot(X_14)), bind(X_149, $fot(X_8))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_85, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_340, B), B), B) =
% 164.64/164.90 '==>'('==>'(B, '==>'(X_340, B)), '==>'(X_340, B))),
% 164.64/164.90 inference(subst, [], [refute_0_1 : [bind(A, $fot('==>'(X_340, B)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_86, plain,
% 164.64/164.90 (~ greater_equal(add(X_190, X_191), '==>'(X_189, add(X_191, X_190))) |
% 164.64/164.90 greater_equal(X_191, '==>'(X_190, '==>'(X_189, add(X_191, X_190))))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_18 :
% 164.64/164.90 [bind(X5, $fot(X_190)), bind(X6, $fot(X_191)),
% 164.64/164.90 bind(X7, $fot('==>'(X_189, add(X_191, X_190))))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_87, plain,
% 164.64/164.90 (greater_equal(add(X_28, add(X_12, X_11)), add(X_12, X_11))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_64 :
% 164.64/164.90 [bind(X_24, $fot(add(X_12, X_11))),
% 164.64/164.90 bind(X_25, $fot(X_28))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_88, plain, (add(add(A, B), C) = add(A, add(B, C))),
% 164.64/164.90 inference(canonicalize, [], [normalize_0_23])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_89, plain,
% 164.64/164.90 (add(add(X_10, X_11), X_12) = add(X_10, add(X_11, X_12))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_88 :
% 164.64/164.90 [bind(A, $fot(X_10)), bind(B, $fot(X_11)),
% 164.64/164.90 bind(C, $fot(X_12))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_90, plain, (add(X_12, X_11) = add(X_11, X_12)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_56 : [bind(A, $fot(X_12)), bind(B, $fot(X_11))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_91, plain,
% 164.64/164.90 (add(X_12, X_11) != add(X_11, X_12) |
% 164.64/164.90 add(X_11, X_12) = add(X_12, X_11)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_42 :
% 164.64/164.90 [bind(X, $fot(add(X_12, X_11))),
% 164.64/164.90 bind(Y, $fot(add(X_11, X_12)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_92, plain, (add(X_11, X_12) = add(X_12, X_11)),
% 164.64/164.90 inference(resolve, [$cnf($equal(add(X_12, X_11), add(X_11, X_12)))],
% 164.64/164.90 [refute_0_90, refute_0_91])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_93, plain,
% 164.64/164.90 (add(X_11, X_12) != add(X_12, X_11) |
% 164.64/164.90 add(add(X_10, X_11), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.90 add(add(X_10, X_11), X_12) = add(X_10, add(X_12, X_11))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.90 add(X_10, add(X_11, X_12)))), [1, 1],
% 164.64/164.90 $fot(add(X_12, X_11))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_94, plain,
% 164.64/164.90 (add(add(X_10, X_11), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.90 add(add(X_10, X_11), X_12) = add(X_10, add(X_12, X_11))),
% 164.64/164.90 inference(resolve, [$cnf($equal(add(X_11, X_12), add(X_12, X_11)))],
% 164.64/164.90 [refute_0_92, refute_0_93])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_95, plain,
% 164.64/164.90 (add(add(X_10, X_11), X_12) = add(X_10, add(X_12, X_11))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.90 add(X_10, add(X_11, X_12))))],
% 164.64/164.90 [refute_0_89, refute_0_94])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_96, plain,
% 164.64/164.90 (add(add(X_10, X_11), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.90 add(add(X_10, X_11), X_12) != add(X_10, add(X_12, X_11)) |
% 164.64/164.90 add(X_10, add(X_11, X_12)) = add(X_10, add(X_12, X_11))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.90 add(X_10, add(X_12, X_11)))), [0],
% 164.64/164.90 $fot(add(X_10, add(X_11, X_12)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_97, plain,
% 164.64/164.90 (add(add(X_10, X_11), X_12) != add(X_10, add(X_12, X_11)) |
% 164.64/164.90 add(X_10, add(X_11, X_12)) = add(X_10, add(X_12, X_11))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.90 add(X_10, add(X_11, X_12))))],
% 164.64/164.90 [refute_0_89, refute_0_96])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_98, plain,
% 164.64/164.90 (add(X_10, add(X_11, X_12)) = add(X_10, add(X_12, X_11))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.90 add(X_10, add(X_12, X_11))))],
% 164.64/164.90 [refute_0_95, refute_0_97])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_99, plain,
% 164.64/164.90 (add(X_28, add(X_11, X_12)) = add(X_28, add(X_12, X_11))),
% 164.64/164.90 inference(subst, [], [refute_0_98 : [bind(X_10, $fot(X_28))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_100, plain,
% 164.64/164.90 (add(X_28, add(X_11, X_12)) != add(X_28, add(X_12, X_11)) |
% 164.64/164.90 add(X_28, add(X_12, X_11)) = add(X_28, add(X_11, X_12))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_42 :
% 164.64/164.90 [bind(X, $fot(add(X_28, add(X_11, X_12)))),
% 164.64/164.90 bind(Y, $fot(add(X_28, add(X_12, X_11))))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_101, plain,
% 164.64/164.90 (add(X_28, add(X_12, X_11)) = add(X_28, add(X_11, X_12))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal(add(X_28, add(X_11, X_12)),
% 164.64/164.90 add(X_28, add(X_12, X_11))))],
% 164.64/164.90 [refute_0_99, refute_0_100])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_102, plain,
% 164.64/164.90 (add(X_28, add(X_12, X_11)) != add(X_28, add(X_11, X_12)) |
% 164.64/164.90 ~ greater_equal(add(X_28, add(X_12, X_11)), add(X_12, X_11)) |
% 164.64/164.90 greater_equal(add(X_28, add(X_11, X_12)), add(X_12, X_11))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf(greater_equal(add(X_28, add(X_12, X_11)),
% 164.64/164.90 add(X_12, X_11))), [0],
% 164.64/164.90 $fot(add(X_28, add(X_11, X_12)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_103, plain,
% 164.64/164.90 (~ greater_equal(add(X_28, add(X_12, X_11)), add(X_12, X_11)) |
% 164.64/164.90 greater_equal(add(X_28, add(X_11, X_12)), add(X_12, X_11))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal(add(X_28, add(X_12, X_11)),
% 164.64/164.90 add(X_28, add(X_11, X_12))))],
% 164.64/164.90 [refute_0_101, refute_0_102])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_104, plain,
% 164.64/164.90 (greater_equal(add(X_28, add(X_11, X_12)), add(X_12, X_11))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(add(X_28, add(X_12, X_11)),
% 164.64/164.90 add(X_12, X_11)))], [refute_0_87, refute_0_103])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_105, plain,
% 164.64/164.90 (greater_equal(add(X_106, add(X_11, X_12)), add(X_12, X_11))),
% 164.64/164.90 inference(subst, [], [refute_0_104 : [bind(X_28, $fot(X_106))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_106, plain,
% 164.64/164.90 (~ greater_equal(add(X_106, add(X_11, X_12)), add(X_12, X_11)) |
% 164.64/164.90 greater_equal(add(X_11, X_12), '==>'(X_106, add(X_12, X_11)))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_18 :
% 164.64/164.90 [bind(X5, $fot(X_106)), bind(X6, $fot(add(X_11, X_12))),
% 164.64/164.90 bind(X7, $fot(add(X_12, X_11)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_107, plain,
% 164.64/164.90 (greater_equal(add(X_11, X_12), '==>'(X_106, add(X_12, X_11)))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(add(X_106, add(X_11, X_12)),
% 164.64/164.90 add(X_12, X_11)))], [refute_0_105, refute_0_106])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_108, plain,
% 164.64/164.90 (greater_equal(add(X_190, X_191), '==>'(X_189, add(X_191, X_190)))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_107 :
% 164.64/164.90 [bind(X_106, $fot(X_189)), bind(X_11, $fot(X_190)),
% 164.64/164.90 bind(X_12, $fot(X_191))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_109, plain,
% 164.64/164.90 (greater_equal(X_191, '==>'(X_190, '==>'(X_189, add(X_191, X_190))))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(add(X_190, X_191),
% 164.64/164.90 '==>'(X_189, add(X_191, X_190))))],
% 164.64/164.90 [refute_0_108, refute_0_86])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_110, plain,
% 164.64/164.90 (greater_equal(0, '==>'(X_190, '==>'(X_189, add(0, X_190))))),
% 164.64/164.90 inference(subst, [], [refute_0_109 : [bind(X_191, $fot(0))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_111, plain,
% 164.64/164.90 (~ greater_equal(0, '==>'(X_190, '==>'(X_189, add(0, X_190)))) |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))) = 0),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_7 :
% 164.64/164.90 [bind(X_308,
% 164.64/164.90 $fot('==>'(X_190, '==>'(X_189, add(0, X_190)))))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_112, plain, ('==>'(X_190, '==>'(X_189, add(0, X_190))) = 0),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf(greater_equal(0,
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190)))))],
% 164.64/164.90 [refute_0_110, refute_0_111])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_113, plain, (add(0, X_190) = X_190),
% 164.64/164.90 inference(subst, [], [refute_0_60 : [bind(A, $fot(X_190))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_114, plain,
% 164.64/164.90 ('==>'(X_189, add(0, X_190)) = '==>'(X_189, add(0, X_190))),
% 164.64/164.90 introduced(tautology, [refl, [$fot('==>'(X_189, add(0, X_190)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_115, plain,
% 164.64/164.90 (add(0, X_190) != X_190 |
% 164.64/164.90 '==>'(X_189, add(0, X_190)) != '==>'(X_189, add(0, X_190)) |
% 164.64/164.90 '==>'(X_189, add(0, X_190)) = '==>'(X_189, X_190)),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'(X_189, add(0, X_190)),
% 164.64/164.90 '==>'(X_189, add(0, X_190)))), [1, 1],
% 164.64/164.90 $fot(X_190)]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_116, plain,
% 164.64/164.90 (add(0, X_190) != X_190 |
% 164.64/164.90 '==>'(X_189, add(0, X_190)) = '==>'(X_189, X_190)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_189, add(0, X_190)),
% 164.64/164.90 '==>'(X_189, add(0, X_190))))],
% 164.64/164.90 [refute_0_114, refute_0_115])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_117, plain,
% 164.64/164.90 ('==>'(X_189, add(0, X_190)) = '==>'(X_189, X_190)),
% 164.64/164.90 inference(resolve, [$cnf($equal(add(0, X_190), X_190))],
% 164.64/164.90 [refute_0_113, refute_0_116])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_118, plain,
% 164.64/164.90 ('==>'(X_190, '==>'(X_189, add(0, X_190))) =
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190)))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [refl, [$fot('==>'(X_190, '==>'(X_189, add(0, X_190))))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_119, plain,
% 164.64/164.90 ('==>'(X_189, add(0, X_190)) != '==>'(X_189, X_190) |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))) !=
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))) |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))) =
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'(X_190, '==>'(X_189, add(0, X_190))),
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))))),
% 164.64/164.90 [1, 1], $fot('==>'(X_189, X_190))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_120, plain,
% 164.64/164.90 ('==>'(X_189, add(0, X_190)) != '==>'(X_189, X_190) |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))) =
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_190, '==>'(X_189, add(0, X_190))),
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190)))))],
% 164.64/164.90 [refute_0_118, refute_0_119])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_121, plain,
% 164.64/164.90 ('==>'(X_190, '==>'(X_189, add(0, X_190))) =
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_189, add(0, X_190)),
% 164.64/164.90 '==>'(X_189, X_190)))],
% 164.64/164.90 [refute_0_117, refute_0_120])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_122, plain,
% 164.64/164.90 ('==>'(X_190, '==>'(X_189, add(0, X_190))) != 0 |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, add(0, X_190))) !=
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190)) |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190)) = 0),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'(X_190, '==>'(X_189, add(0, X_190))),
% 164.64/164.90 0)), [0],
% 164.64/164.90 $fot('==>'(X_190, '==>'(X_189, X_190)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_123, plain,
% 164.64/164.90 ('==>'(X_190, '==>'(X_189, add(0, X_190))) != 0 |
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190)) = 0),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_190, '==>'(X_189, add(0, X_190))),
% 164.64/164.90 '==>'(X_190, '==>'(X_189, X_190))))],
% 164.64/164.90 [refute_0_121, refute_0_122])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_124, plain, ('==>'(X_190, '==>'(X_189, X_190)) = 0),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_190, '==>'(X_189, add(0, X_190))), 0))],
% 164.64/164.90 [refute_0_112, refute_0_123])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_125, plain, ('==>'(B, '==>'(X_340, B)) = 0),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_124 :
% 164.64/164.90 [bind(X_189, $fot(X_340)), bind(X_190, $fot(B))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_126, plain,
% 164.64/164.90 ('==>'(B, '==>'(X_340, B)) != 0 |
% 164.64/164.90 '==>'('==>'('==>'(X_340, B), B), B) !=
% 164.64/164.90 '==>'('==>'(B, '==>'(X_340, B)), '==>'(X_340, B)) |
% 164.64/164.90 '==>'('==>'('==>'(X_340, B), B), B) = '==>'(0, '==>'(X_340, B))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_340, B), B), B),
% 164.64/164.90 '==>'('==>'(B, '==>'(X_340, B)),
% 164.64/164.90 '==>'(X_340, B)))), [1, 0], $fot(0)]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_127, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_340, B), B), B) !=
% 164.64/164.90 '==>'('==>'(B, '==>'(X_340, B)), '==>'(X_340, B)) |
% 164.64/164.90 '==>'('==>'('==>'(X_340, B), B), B) = '==>'(0, '==>'(X_340, B))),
% 164.64/164.90 inference(resolve, [$cnf($equal('==>'(B, '==>'(X_340, B)), 0))],
% 164.64/164.90 [refute_0_125, refute_0_126])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_128, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_340, B), B), B) = '==>'(0, '==>'(X_340, B))),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_340, B), B), B),
% 164.64/164.90 '==>'('==>'(B, '==>'(X_340, B)), '==>'(X_340, B))))],
% 164.64/164.90 [refute_0_85, refute_0_127])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_129, plain, (greater_equal(add(0, '==>'(0, X_83)), X_83)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_14 :
% 164.64/164.90 [bind(X_79, $fot(0)), bind(X_81, $fot(X_83))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_130, plain, (add(0, '==>'(0, X_83)) = '==>'(0, X_83)),
% 164.64/164.90 inference(subst, [], [refute_0_60 : [bind(A, $fot('==>'(0, X_83)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_131, plain,
% 164.64/164.90 (add(0, '==>'(0, X_83)) != '==>'(0, X_83) |
% 164.64/164.90 ~ greater_equal(add(0, '==>'(0, X_83)), X_83) |
% 164.64/164.90 greater_equal('==>'(0, X_83), X_83)),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf(greater_equal(add(0, '==>'(0, X_83)), X_83)), [0],
% 164.64/164.90 $fot('==>'(0, X_83))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_132, plain,
% 164.64/164.90 (~ greater_equal(add(0, '==>'(0, X_83)), X_83) |
% 164.64/164.90 greater_equal('==>'(0, X_83), X_83)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal(add(0, '==>'(0, X_83)), '==>'(0, X_83)))],
% 164.64/164.90 [refute_0_130, refute_0_131])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_133, plain, (greater_equal('==>'(0, X_83), X_83)),
% 164.64/164.90 inference(resolve, [$cnf(greater_equal(add(0, '==>'(0, X_83)), X_83))],
% 164.64/164.90 [refute_0_129, refute_0_132])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_134, plain, (greater_equal('==>'(0, X_309), X_309)),
% 164.64/164.90 inference(subst, [], [refute_0_133 : [bind(X_83, $fot(X_309))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_135, plain,
% 164.64/164.90 (~ greater_equal(X_309, '==>'(0, X_309)) |
% 164.64/164.90 ~ greater_equal('==>'(0, X_309), X_309) | '==>'(0, X_309) = X_309),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_5 :
% 164.64/164.90 [bind(X3, $fot('==>'(0, X_309))), bind(X4, $fot(X_309))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_136, plain,
% 164.64/164.90 (~ greater_equal(X_309, '==>'(0, X_309)) | '==>'(0, X_309) = X_309),
% 164.64/164.90 inference(resolve, [$cnf(greater_equal('==>'(0, X_309), X_309))],
% 164.64/164.90 [refute_0_134, refute_0_135])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_137, plain, (greater_equal(X_309, '==>'(0, X_309))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_67 :
% 164.64/164.90 [bind(X_106, $fot(0)), bind(X_108, $fot(X_309))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_138, plain, ('==>'(0, X_309) = X_309),
% 164.64/164.90 inference(resolve, [$cnf(greater_equal(X_309, '==>'(0, X_309)))],
% 164.64/164.90 [refute_0_137, refute_0_136])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_139, plain, ('==>'(0, '==>'(X_340, B)) = '==>'(X_340, B)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_138 : [bind(X_309, $fot('==>'(X_340, B)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_140, plain,
% 164.64/164.90 ('==>'(0, '==>'(X_340, B)) != '==>'(X_340, B) |
% 164.64/164.90 '==>'('==>'('==>'(X_340, B), B), B) != '==>'(0, '==>'(X_340, B)) |
% 164.64/164.90 '==>'('==>'('==>'(X_340, B), B), B) = '==>'(X_340, B)),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_340, B), B), B),
% 164.64/164.90 '==>'(0, '==>'(X_340, B)))), [1],
% 164.64/164.90 $fot('==>'(X_340, B))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_141, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_340, B), B), B) != '==>'(0, '==>'(X_340, B)) |
% 164.64/164.90 '==>'('==>'('==>'(X_340, B), B), B) = '==>'(X_340, B)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(0, '==>'(X_340, B)), '==>'(X_340, B)))],
% 164.64/164.90 [refute_0_139, refute_0_140])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_142, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_340, B), B), B) = '==>'(X_340, B)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_340, B), B), B),
% 164.64/164.90 '==>'(0, '==>'(X_340, B))))],
% 164.64/164.90 [refute_0_128, refute_0_141])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_143, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_8, A), A), A) = '==>'(X_8, A)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_142 :
% 164.64/164.90 [bind(B, $fot(A)), bind(X_340, $fot(X_8))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_144, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_8, A), A), A) != '==>'(X_8, A) |
% 164.64/164.90 '==>'('==>'('==>'(X_8, A), A), A) !=
% 164.64/164.90 '==>'('==>'('==>'(A, X_8), X_8), A) |
% 164.64/164.90 '==>'(X_8, A) = '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_8, A), A), A),
% 164.64/164.90 '==>'('==>'('==>'(A, X_8), X_8), A))), [0],
% 164.64/164.90 $fot('==>'(X_8, A))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_145, plain,
% 164.64/164.90 ('==>'('==>'('==>'(X_8, A), A), A) !=
% 164.64/164.90 '==>'('==>'('==>'(A, X_8), X_8), A) |
% 164.64/164.90 '==>'(X_8, A) = '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_8, A), A), A),
% 164.64/164.90 '==>'(X_8, A)))], [refute_0_143, refute_0_144])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_146, plain,
% 164.64/164.90 ('==>'(X_8, A) = '==>'('==>'('==>'(A, X_8), X_8), A)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'(X_8, A), A), A),
% 164.64/164.90 '==>'('==>'('==>'(A, X_8), X_8), A)))],
% 164.64/164.90 [refute_0_37, refute_0_145])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_147, plain,
% 164.64/164.90 ('==>'(X_8, A) != '==>'('==>'('==>'(A, X_8), X_8), A) |
% 164.64/164.90 '==>'('==>'('==>'(A, X_8), X_8), A) = '==>'(X_8, A)),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_42 :
% 164.64/164.90 [bind(X, $fot('==>'(X_8, A))),
% 164.64/164.90 bind(Y, $fot('==>'('==>'('==>'(A, X_8), X_8), A)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_148, plain,
% 164.64/164.90 ('==>'('==>'('==>'(A, X_8), X_8), A) = '==>'(X_8, A)),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_8, A),
% 164.64/164.90 '==>'('==>'('==>'(A, X_8), X_8), A)))],
% 164.64/164.90 [refute_0_146, refute_0_147])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_149, plain,
% 164.64/164.90 ('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) =
% 164.64/164.90 '==>'(X_8, '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_148 :
% 164.64/164.90 [bind(A, $fot('==>'('==>'(X_8, X_14), X_14)))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_150, plain, (Y != X | Y != Z | X = Z),
% 164.64/164.90 introduced(tautology, [equality, [$cnf($equal(Y, Z)), [0], $fot(X)]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_151, plain, (X != Y | Y != Z | X = Z),
% 164.64/164.90 inference(resolve, [$cnf($equal(Y, X))], [refute_0_42, refute_0_150])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_152, plain,
% 164.64/164.90 ('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)) != 0 |
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) !=
% 164.64/164.90 '==>'(X_8, '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) = 0),
% 164.64/164.90 inference(subst, [],
% 164.64/164.90 [refute_0_151 :
% 164.64/164.90 [bind(X,
% 164.64/164.90 $fot('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.64/164.90 X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)))),
% 164.64/164.90 bind(Y, $fot('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)))),
% 164.64/164.90 bind(Z, $fot(0))]])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_153, plain,
% 164.64/164.90 ('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)) != 0 |
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) = 0),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.64/164.90 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.90 '==>'(X_8, '==>'('==>'(X_8, X_14), X_14))))],
% 164.64/164.90 [refute_0_149, refute_0_152])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_154, plain,
% 164.64/164.90 ('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) = 0),
% 164.64/164.90 inference(resolve,
% 164.64/164.90 [$cnf($equal('==>'(X_8, '==>'('==>'(X_8, X_14), X_14)), 0))],
% 164.64/164.90 [refute_0_84, refute_0_153])).
% 164.64/164.90
% 164.64/164.90 cnf(refute_0_155, plain,
% 164.64/164.90 ('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) != 0 |
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) !=
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.90 0 =
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.90 introduced(tautology,
% 164.64/164.90 [equality,
% 164.64/164.90 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_8, X_14),
% 164.64/164.90 X_14), X_8), X_8),
% 164.64/164.90 '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.90 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8),
% 164.64/164.90 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)))),
% 164.64/164.90 [0], $fot(0)]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_156, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) !=
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.91 0 =
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.64/164.91 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.91 0))], [refute_0_154, refute_0_155])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_157, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8) =
% 164.64/164.91 '==>'('==>'(X_14, X_8), X_8)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_142 :
% 164.64/164.91 [bind(B, $fot(X_8)),
% 164.64/164.91 bind(X_340, $fot('==>'(X_14, X_8)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_158, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) =
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [refl,
% 164.64/164.91 [$fot('==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.64/164.91 X_8), '==>'('==>'(X_8, X_14), X_14)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_159, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8) !=
% 164.64/164.91 '==>'('==>'(X_14, X_8), X_8) |
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) !=
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_14, X_8),
% 164.64/164.91 X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8),
% 164.64/164.91 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)))),
% 164.64/164.91 [1, 0], $fot('==>'('==>'(X_14, X_8), X_8))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_160, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8) !=
% 164.64/164.91 '==>'('==>'(X_14, X_8), X_8) |
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8),
% 164.64/164.91 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.64/164.91 X_8), '==>'('==>'(X_8, X_14), X_14))))],
% 164.64/164.91 [refute_0_158, refute_0_159])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_161, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.64/164.91 X_8), '==>'('==>'(X_14, X_8), X_8)))],
% 164.64/164.91 [refute_0_157, refute_0_160])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_162, plain,
% 164.64/164.91 (0 !=
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) !=
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.91 0 =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf(~ $equal(0,
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)))), [0],
% 164.64/164.91 $fot('==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.64/164.91 X_8), '==>'('==>'(X_8, X_14), X_14)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_163, plain,
% 164.64/164.91 (0 !=
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.91 0 =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8),
% 164.64/164.91 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14))))],
% 164.64/164.91 [refute_0_161, refute_0_162])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_164, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) !=
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8), X_8),
% 164.64/164.91 '==>'('==>'(X_8, X_14), X_14)) |
% 164.64/164.91 0 =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(0,
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.64/164.91 X_8), '==>'('==>'(X_8, X_14), X_14))))],
% 164.64/164.91 [refute_0_156, refute_0_163])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_165, plain,
% 164.64/164.91 (0 =
% 164.64/164.91 '==>'('==>'('==>'(X_14, X_8), X_8), '==>'('==>'(X_8, X_14), X_14))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_8, X_14), X_14),
% 164.64/164.91 X_8), X_8), '==>'('==>'(X_8, X_14), X_14)),
% 164.64/164.91 '==>'('==>'('==>'('==>'('==>'(X_14, X_8), X_8), X_8),
% 164.64/164.91 X_8), '==>'('==>'(X_8, X_14), X_14))))],
% 164.64/164.91 [refute_0_50, refute_0_164])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_166, plain,
% 164.64/164.91 (0 =
% 164.64/164.91 '==>'('==>'('==>'('==>'(X_2001, 1), X_2746), X_2746),
% 164.64/164.91 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1)))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_165 :
% 164.64/164.91 [bind(X_14, $fot('==>'(X_2001, 1))),
% 164.64/164.91 bind(X_8, $fot(X_2746))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_167, plain,
% 164.64/164.91 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.91 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.91 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.91 '==>'('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.91 '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.91 '==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_1 :
% 164.64/164.91 [bind(A, $fot('==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.91 bind(B, $fot('==>'('==>'(X_2002, 1), X_2001)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_168, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(0,
% 164.64/164.91 '==>'('==>'('==>'(X_2000, 1), X_1999),
% 164.64/164.91 '==>'('==>'(X_1999, 1), X_2000))) |
% 164.64/164.91 '==>'('==>'('==>'(X_2000, 1), X_1999),
% 164.64/164.91 '==>'('==>'(X_1999, 1), X_2000)) = 0),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_7 :
% 164.64/164.91 [bind(X_308,
% 164.64/164.91 $fot('==>'('==>'('==>'(X_2000, 1), X_1999),
% 164.64/164.91 '==>'('==>'(X_1999, 1), X_2000))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_169, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(add(X_1281, '==>'(add(X_1280, X_1281), X_1282)),
% 164.64/164.91 '==>'(X_1280, X_1282)) |
% 164.64/164.91 greater_equal('==>'(add(X_1280, X_1281), X_1282),
% 164.64/164.91 '==>'(X_1281, '==>'(X_1280, X_1282)))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_18 :
% 164.64/164.91 [bind(X5, $fot(X_1281)),
% 164.64/164.91 bind(X6, $fot('==>'(add(X_1280, X_1281), X_1282))),
% 164.64/164.91 bind(X7, $fot('==>'(X_1280, X_1282)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_170, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(add(X_507,
% 164.64/164.91 add(X_508, '==>'(add(X_507, X_508), X_509))), X_509) |
% 164.64/164.91 greater_equal(add(X_508, '==>'(add(X_507, X_508), X_509)),
% 164.64/164.91 '==>'(X_507, X_509))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_18 :
% 164.64/164.91 [bind(X5, $fot(X_507)),
% 164.64/164.91 bind(X6,
% 164.64/164.91 $fot(add(X_508, '==>'(add(X_507, X_508), X_509)))),
% 164.64/164.91 bind(X7, $fot(X_509))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_171, plain,
% 164.64/164.91 (greater_equal(add(add(A, B), '==>'(add(A, B), X_83)), X_83)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_14 :
% 164.64/164.91 [bind(X_79, $fot(add(A, B))), bind(X_81, $fot(X_83))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_172, plain,
% 164.64/164.91 (add(add(A, B), '==>'(add(A, B), X_83)) =
% 164.64/164.91 add(A, add(B, '==>'(add(A, B), X_83)))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_88 : [bind(C, $fot('==>'(add(A, B), X_83)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_173, plain,
% 164.64/164.91 (add(add(A, B), '==>'(add(A, B), X_83)) !=
% 164.64/164.91 add(A, add(B, '==>'(add(A, B), X_83))) |
% 164.64/164.91 ~ greater_equal(add(add(A, B), '==>'(add(A, B), X_83)), X_83) |
% 164.64/164.91 greater_equal(add(A, add(B, '==>'(add(A, B), X_83))), X_83)),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf(greater_equal(add(add(A, B), '==>'(add(A, B), X_83)),
% 164.64/164.91 X_83)), [0],
% 164.64/164.91 $fot(add(A, add(B, '==>'(add(A, B), X_83))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_174, plain,
% 164.64/164.91 (~ greater_equal(add(add(A, B), '==>'(add(A, B), X_83)), X_83) |
% 164.64/164.91 greater_equal(add(A, add(B, '==>'(add(A, B), X_83))), X_83)),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(add(A, B), '==>'(add(A, B), X_83)),
% 164.64/164.91 add(A, add(B, '==>'(add(A, B), X_83)))))],
% 164.64/164.91 [refute_0_172, refute_0_173])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_175, plain,
% 164.64/164.91 (greater_equal(add(A, add(B, '==>'(add(A, B), X_83))), X_83)),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(add(A, B), '==>'(add(A, B), X_83)),
% 164.64/164.91 X_83))], [refute_0_171, refute_0_174])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_176, plain,
% 164.64/164.91 (greater_equal(add(X_507, add(X_508, '==>'(add(X_507, X_508), X_509))),
% 164.64/164.91 X_509)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_175 :
% 164.64/164.91 [bind(A, $fot(X_507)), bind(B, $fot(X_508)),
% 164.64/164.91 bind(X_83, $fot(X_509))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_177, plain,
% 164.64/164.91 (greater_equal(add(X_508, '==>'(add(X_507, X_508), X_509)),
% 164.64/164.91 '==>'(X_507, X_509))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_507,
% 164.64/164.91 add(X_508, '==>'(add(X_507, X_508), X_509))),
% 164.64/164.91 X_509))], [refute_0_176, refute_0_170])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_178, plain,
% 164.64/164.91 (greater_equal(add(X_1281, '==>'(add(X_1280, X_1281), X_1282)),
% 164.64/164.91 '==>'(X_1280, X_1282))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_177 :
% 164.64/164.91 [bind(X_507, $fot(X_1280)), bind(X_508, $fot(X_1281)),
% 164.64/164.91 bind(X_509, $fot(X_1282))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_179, plain,
% 164.64/164.91 (greater_equal('==>'(add(X_1280, X_1281), X_1282),
% 164.64/164.91 '==>'(X_1281, '==>'(X_1280, X_1282)))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_1281,
% 164.64/164.91 '==>'(add(X_1280, X_1281), X_1282)),
% 164.64/164.91 '==>'(X_1280, X_1282)))],
% 164.64/164.91 [refute_0_178, refute_0_169])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_180, plain,
% 164.64/164.91 (greater_equal('==>'(add('==>'(A, 1), '==>'('==>'(X_1998, 1), A)),
% 164.64/164.91 X_1998),
% 164.64/164.91 '==>'('==>'('==>'(X_1998, 1), A), '==>'('==>'(A, 1), X_1998)))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_179 :
% 164.64/164.91 [bind(X_1280, $fot('==>'(A, 1))),
% 164.64/164.91 bind(X_1281, $fot('==>'('==>'(X_1998, 1), A))),
% 164.64/164.91 bind(X_1282, $fot(X_1998))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_181, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(0,
% 164.64/164.91 '==>'(add(X_1056, '==>'('==>'(X_1055, 1), '==>'(X_1056, 1))),
% 164.64/164.91 X_1055)) |
% 164.64/164.91 '==>'(add(X_1056, '==>'('==>'(X_1055, 1), '==>'(X_1056, 1))),
% 164.64/164.91 X_1055) = 0),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_7 :
% 164.64/164.91 [bind(X_308,
% 164.64/164.91 $fot('==>'(add(X_1056,
% 164.64/164.91 '==>'('==>'(X_1055, 1), '==>'(X_1056, 1))),
% 164.64/164.91 X_1055)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_182, plain,
% 164.64/164.91 (~ greater_equal('==>'(0, X_84), X_84) |
% 164.64/164.91 greater_equal(add('==>'(0, X_84), X10), add(X_84, X10))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_53 :
% 164.64/164.91 [bind(X8, $fot('==>'(0, X_84))), bind(X9, $fot(X_84))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_183, plain, (greater_equal('==>'(0, X_84), X_84)),
% 164.64/164.91 inference(subst, [], [refute_0_133 : [bind(X_83, $fot(X_84))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_184, plain,
% 164.64/164.91 (greater_equal(add('==>'(0, X_84), X10), add(X_84, X10))),
% 164.64/164.91 inference(resolve, [$cnf(greater_equal('==>'(0, X_84), X_84))],
% 164.64/164.91 [refute_0_183, refute_0_182])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_185, plain,
% 164.64/164.91 (greater_equal(add('==>'(0, X_84), X_107), add(X_84, X_107))),
% 164.64/164.91 inference(subst, [], [refute_0_184 : [bind(X10, $fot(X_107))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_186, plain,
% 164.64/164.91 (~ greater_equal(add('==>'(0, X_84), X_107), add(X_84, X_107)) |
% 164.64/164.91 greater_equal(X_107, '==>'('==>'(0, X_84), add(X_84, X_107)))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_18 :
% 164.64/164.91 [bind(X5, $fot('==>'(0, X_84))), bind(X6, $fot(X_107)),
% 164.64/164.91 bind(X7, $fot(add(X_84, X_107)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_187, plain,
% 164.64/164.91 (greater_equal(X_107, '==>'('==>'(0, X_84), add(X_84, X_107)))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add('==>'(0, X_84), X_107),
% 164.64/164.91 add(X_84, X_107)))], [refute_0_185, refute_0_186])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_188, plain,
% 164.64/164.91 (greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_131, add(X_11, X_12))))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_187 :
% 164.64/164.91 [bind(X_107, $fot(add(X_11, X_12))),
% 164.64/164.91 bind(X_84, $fot(X_131))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_189, plain, (add(X_11, X_10) = add(X_10, X_11)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_56 : [bind(A, $fot(X_11)), bind(B, $fot(X_10))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_190, plain,
% 164.64/164.91 (add(X_11, X_10) != add(X_10, X_11) |
% 164.64/164.91 add(X_10, X_11) = add(X_11, X_10)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_42 :
% 164.64/164.91 [bind(X, $fot(add(X_11, X_10))),
% 164.64/164.91 bind(Y, $fot(add(X_10, X_11)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_191, plain, (add(X_10, X_11) = add(X_11, X_10)),
% 164.64/164.91 inference(resolve, [$cnf($equal(add(X_11, X_10), add(X_10, X_11)))],
% 164.64/164.91 [refute_0_189, refute_0_190])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_192, plain,
% 164.64/164.91 (add(X_10, X_11) != add(X_11, X_10) |
% 164.64/164.91 add(add(X_10, X_11), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.91 add(add(X_11, X_10), X_12) = add(X_10, add(X_11, X_12))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.91 add(X_10, add(X_11, X_12)))), [0, 0],
% 164.64/164.91 $fot(add(X_11, X_10))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_193, plain,
% 164.64/164.91 (add(add(X_10, X_11), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.91 add(add(X_11, X_10), X_12) = add(X_10, add(X_11, X_12))),
% 164.64/164.91 inference(resolve, [$cnf($equal(add(X_10, X_11), add(X_11, X_10)))],
% 164.64/164.91 [refute_0_191, refute_0_192])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_194, plain,
% 164.64/164.91 (add(add(X_11, X_10), X_12) = add(X_10, add(X_11, X_12))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(add(X_10, X_11), X_12),
% 164.64/164.91 add(X_10, add(X_11, X_12))))],
% 164.64/164.91 [refute_0_89, refute_0_193])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_195, plain,
% 164.64/164.91 (add(add(X_11, X_10), X_12) = add(X_11, add(X_10, X_12))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_88 :
% 164.64/164.91 [bind(A, $fot(X_11)), bind(B, $fot(X_10)),
% 164.64/164.91 bind(C, $fot(X_12))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_196, plain,
% 164.64/164.91 (add(add(X_11, X_10), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.91 add(add(X_11, X_10), X_12) != add(X_11, add(X_10, X_12)) |
% 164.64/164.91 add(X_11, add(X_10, X_12)) = add(X_10, add(X_11, X_12))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf($equal(add(add(X_11, X_10), X_12),
% 164.64/164.91 add(X_10, add(X_11, X_12)))), [0],
% 164.64/164.91 $fot(add(X_11, add(X_10, X_12)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_197, plain,
% 164.64/164.91 (add(add(X_11, X_10), X_12) != add(X_10, add(X_11, X_12)) |
% 164.64/164.91 add(X_11, add(X_10, X_12)) = add(X_10, add(X_11, X_12))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(add(X_11, X_10), X_12),
% 164.64/164.91 add(X_11, add(X_10, X_12))))],
% 164.64/164.91 [refute_0_195, refute_0_196])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_198, plain,
% 164.64/164.91 (add(X_11, add(X_10, X_12)) = add(X_10, add(X_11, X_12))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(add(X_11, X_10), X_12),
% 164.64/164.91 add(X_10, add(X_11, X_12))))],
% 164.64/164.91 [refute_0_194, refute_0_197])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_199, plain,
% 164.64/164.91 (add(X_11, add(X_131, X_12)) = add(X_131, add(X_11, X_12))),
% 164.64/164.91 inference(subst, [], [refute_0_198 : [bind(X_10, $fot(X_131))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_200, plain,
% 164.64/164.91 (add(X_11, add(X_131, X_12)) != add(X_131, add(X_11, X_12)) |
% 164.64/164.91 add(X_131, add(X_11, X_12)) = add(X_11, add(X_131, X_12))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_42 :
% 164.64/164.91 [bind(X, $fot(add(X_11, add(X_131, X_12)))),
% 164.64/164.91 bind(Y, $fot(add(X_131, add(X_11, X_12))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_201, plain,
% 164.64/164.91 (add(X_131, add(X_11, X_12)) = add(X_11, add(X_131, X_12))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(X_11, add(X_131, X_12)),
% 164.64/164.91 add(X_131, add(X_11, X_12))))],
% 164.64/164.91 [refute_0_199, refute_0_200])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_202, plain,
% 164.64/164.91 (add(X_131, add(X_11, X_12)) != add(X_11, add(X_131, X_12)) |
% 164.64/164.91 ~
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_131, add(X_11, X_12)))) |
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf(greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131),
% 164.64/164.91 add(X_131, add(X_11, X_12))))), [1, 1],
% 164.64/164.91 $fot(add(X_11, add(X_131, X_12)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_203, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_131, add(X_11, X_12)))) |
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(X_131, add(X_11, X_12)),
% 164.64/164.91 add(X_11, add(X_131, X_12))))],
% 164.64/164.91 [refute_0_201, refute_0_202])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_204, plain,
% 164.64/164.91 (greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131),
% 164.64/164.91 add(X_131, add(X_11, X_12)))))],
% 164.64/164.91 [refute_0_188, refute_0_203])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_205, plain, ('==>'(0, X_131) = X_131),
% 164.64/164.91 inference(subst, [], [refute_0_138 : [bind(X_309, $fot(X_131))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_206, plain,
% 164.64/164.91 ('==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) =
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12)))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [refl,
% 164.64/164.91 [$fot('==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_207, plain,
% 164.64/164.91 ('==>'(0, X_131) != X_131 |
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) !=
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) |
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) =
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12)))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf($equal('==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12))),
% 164.64/164.91 '==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12))))), [1, 0],
% 164.64/164.91 $fot(X_131)]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_208, plain,
% 164.64/164.91 ('==>'(0, X_131) != X_131 |
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) =
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12)))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12))),
% 164.64/164.91 '==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12)))))],
% 164.64/164.91 [refute_0_206, refute_0_207])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_209, plain,
% 164.64/164.91 ('==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) =
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12)))),
% 164.64/164.91 inference(resolve, [$cnf($equal('==>'(0, X_131), X_131))],
% 164.64/164.91 [refute_0_205, refute_0_208])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_210, plain,
% 164.64/164.91 ('==>'('==>'(0, X_131), add(X_11, add(X_131, X_12))) !=
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12))) |
% 164.64/164.91 ~
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12)))) |
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12))))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf(greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12))))), [1],
% 164.64/164.91 $fot('==>'(X_131, add(X_11, add(X_131, X_12))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_211, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131), add(X_11, add(X_131, X_12)))) |
% 164.64/164.91 greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal('==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12))),
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12)))))],
% 164.64/164.91 [refute_0_209, refute_0_210])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_212, plain,
% 164.64/164.91 (greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'(X_131, add(X_11, add(X_131, X_12))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_11, X_12),
% 164.64/164.91 '==>'('==>'(0, X_131),
% 164.64/164.91 add(X_11, add(X_131, X_12)))))],
% 164.64/164.91 [refute_0_204, refute_0_211])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_213, plain,
% 164.64/164.91 (greater_equal(add(X_843, '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.91 '==>'(X_845,
% 164.64/164.91 add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1))))))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_212 :
% 164.64/164.91 [bind(X_11, $fot(X_843)),
% 164.64/164.91 bind(X_12, $fot('==>'(X_845, '==>'(X_843, 1)))),
% 164.64/164.91 bind(X_131, $fot(X_845))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_214, plain, (greater_equal(add(1, X_27), X_27)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_64 :
% 164.64/164.91 [bind(X_24, $fot(X_27)), bind(X_25, $fot(1))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_215, plain, (add(A, 1) = 1),
% 164.64/164.91 inference(canonicalize, [], [normalize_0_25])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_216, plain, (add(A, 1) = add(1, A)),
% 164.64/164.91 inference(subst, [], [refute_0_56 : [bind(B, $fot(1))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_217, plain,
% 164.64/164.91 (add(A, 1) != add(1, A) | add(A, 1) != 1 | add(1, A) = 1),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf($equal(add(A, 1), 1)), [0], $fot(add(1, A))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_218, plain, (add(A, 1) != 1 | add(1, A) = 1),
% 164.64/164.91 inference(resolve, [$cnf($equal(add(A, 1), add(1, A)))],
% 164.64/164.91 [refute_0_216, refute_0_217])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_219, plain, (add(1, A) = 1),
% 164.64/164.91 inference(resolve, [$cnf($equal(add(A, 1), 1))],
% 164.64/164.91 [refute_0_215, refute_0_218])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_220, plain, (add(1, X_27) = 1),
% 164.64/164.91 inference(subst, [], [refute_0_219 : [bind(A, $fot(X_27))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_221, plain,
% 164.64/164.91 (add(1, X_27) != 1 | ~ greater_equal(add(1, X_27), X_27) |
% 164.64/164.91 greater_equal(1, X_27)),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf(greater_equal(add(1, X_27), X_27)), [0], $fot(1)]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_222, plain,
% 164.64/164.91 (~ greater_equal(add(1, X_27), X_27) | greater_equal(1, X_27)),
% 164.64/164.91 inference(resolve, [$cnf($equal(add(1, X_27), 1))],
% 164.64/164.91 [refute_0_220, refute_0_221])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_223, plain, (greater_equal(1, X_27)),
% 164.64/164.91 inference(resolve, [$cnf(greater_equal(add(1, X_27), X_27))],
% 164.64/164.91 [refute_0_214, refute_0_222])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_224, plain, (greater_equal(1, X_309)),
% 164.64/164.91 inference(subst, [], [refute_0_223 : [bind(X_27, $fot(X_309))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_225, plain,
% 164.64/164.91 (~ greater_equal(X_309, 1) | ~ greater_equal(1, X_309) | 1 = X_309),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_5 : [bind(X3, $fot(1)), bind(X4, $fot(X_309))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_226, plain, (~ greater_equal(X_309, 1) | 1 = X_309),
% 164.64/164.91 inference(resolve, [$cnf(greater_equal(1, X_309))],
% 164.64/164.91 [refute_0_224, refute_0_225])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_227, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(add(X_519,
% 164.64/164.91 add(X_522, add(X_521, '==>'(X_522, '==>'(X_519, 1))))), 1) |
% 164.64/164.91 1 =
% 164.64/164.91 add(X_519, add(X_522, add(X_521, '==>'(X_522, '==>'(X_519, 1)))))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_226 :
% 164.64/164.91 [bind(X_309,
% 164.64/164.91 $fot(add(X_519,
% 164.64/164.91 add(X_522,
% 164.64/164.91 add(X_521,
% 164.64/164.91 '==>'(X_522, '==>'(X_519, 1)))))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_228, plain,
% 164.64/164.91 (~
% 164.64/164.91 greater_equal(add(X_93, add(X_92, '==>'(X_93, '==>'(X5, X7)))),
% 164.64/164.91 '==>'(X5, X7)) |
% 164.64/164.91 greater_equal(add(X5,
% 164.64/164.91 add(X_93, add(X_92, '==>'(X_93, '==>'(X5, X7))))), X7)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_9 :
% 164.64/164.91 [bind(X6,
% 164.64/164.91 $fot(add(X_93,
% 164.64/164.91 add(X_92, '==>'(X_93, '==>'(X5, X7))))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_229, plain,
% 164.64/164.91 (greater_equal(add(X_25, '==>'(X_79, X_81)), '==>'(X_79, X_81))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_64 : [bind(X_24, $fot('==>'(X_79, X_81)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_230, plain,
% 164.64/164.91 (~ greater_equal(add(X_25, '==>'(X_79, X_81)), '==>'(X_79, X_81)) |
% 164.64/164.91 greater_equal(add(X_79, add(X_25, '==>'(X_79, X_81))), X_81)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_9 :
% 164.64/164.91 [bind(X5, $fot(X_79)),
% 164.64/164.91 bind(X6, $fot(add(X_25, '==>'(X_79, X_81)))),
% 164.64/164.91 bind(X7, $fot(X_81))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_231, plain,
% 164.64/164.91 (greater_equal(add(X_79, add(X_25, '==>'(X_79, X_81))), X_81)),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_25, '==>'(X_79, X_81)),
% 164.64/164.91 '==>'(X_79, X_81)))], [refute_0_229, refute_0_230])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_232, plain,
% 164.64/164.91 (greater_equal(add(X_93, add(X_92, '==>'(X_93, '==>'(X5, X7)))),
% 164.64/164.91 '==>'(X5, X7))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_231 :
% 164.64/164.91 [bind(X_25, $fot(X_92)), bind(X_79, $fot(X_93)),
% 164.64/164.91 bind(X_81, $fot('==>'(X5, X7)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_233, plain,
% 164.64/164.91 (greater_equal(add(X5,
% 164.64/164.91 add(X_93, add(X_92, '==>'(X_93, '==>'(X5, X7))))), X7)),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_93,
% 164.64/164.91 add(X_92, '==>'(X_93, '==>'(X5, X7)))),
% 164.64/164.91 '==>'(X5, X7)))], [refute_0_232, refute_0_228])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_234, plain,
% 164.64/164.91 (greater_equal(add(X_519,
% 164.64/164.91 add(X_522, add(X_521, '==>'(X_522, '==>'(X_519, 1))))), 1)),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_233 :
% 164.64/164.91 [bind(X5, $fot(X_519)), bind(X7, $fot(1)),
% 164.64/164.91 bind(X_92, $fot(X_521)), bind(X_93, $fot(X_522))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_235, plain,
% 164.64/164.91 (1 =
% 164.64/164.91 add(X_519, add(X_522, add(X_521, '==>'(X_522, '==>'(X_519, 1)))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf(greater_equal(add(X_519,
% 164.64/164.91 add(X_522,
% 164.64/164.91 add(X_521, '==>'(X_522, '==>'(X_519, 1))))),
% 164.64/164.91 1))], [refute_0_234, refute_0_227])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_236, plain,
% 164.64/164.91 (1 = add(X_675, add(X_677, add(0, '==>'(X_677, '==>'(X_675, 1)))))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_235 :
% 164.64/164.91 [bind(X_519, $fot(X_675)), bind(X_521, $fot(0)),
% 164.64/164.91 bind(X_522, $fot(X_677))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_237, plain,
% 164.64/164.91 (add(0, '==>'(X_677, '==>'(X_675, 1))) =
% 164.64/164.91 '==>'(X_677, '==>'(X_675, 1))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_60 :
% 164.64/164.91 [bind(A, $fot('==>'(X_677, '==>'(X_675, 1))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_238, plain,
% 164.64/164.91 (add(0, '==>'(X_677, '==>'(X_675, 1))) !=
% 164.64/164.91 '==>'(X_677, '==>'(X_675, 1)) |
% 164.64/164.91 1 != add(X_675, add(X_677, add(0, '==>'(X_677, '==>'(X_675, 1))))) |
% 164.64/164.91 1 = add(X_675, add(X_677, '==>'(X_677, '==>'(X_675, 1))))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf($equal(1,
% 164.64/164.91 add(X_675,
% 164.64/164.91 add(X_677,
% 164.64/164.91 add(0, '==>'(X_677, '==>'(X_675, 1))))))),
% 164.64/164.91 [1, 1, 1], $fot('==>'(X_677, '==>'(X_675, 1)))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_239, plain,
% 164.64/164.91 (1 != add(X_675, add(X_677, add(0, '==>'(X_677, '==>'(X_675, 1))))) |
% 164.64/164.91 1 = add(X_675, add(X_677, '==>'(X_677, '==>'(X_675, 1))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(add(0, '==>'(X_677, '==>'(X_675, 1))),
% 164.64/164.91 '==>'(X_677, '==>'(X_675, 1))))],
% 164.64/164.91 [refute_0_237, refute_0_238])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_240, plain,
% 164.64/164.91 (1 = add(X_675, add(X_677, '==>'(X_677, '==>'(X_675, 1))))),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(1,
% 164.64/164.91 add(X_675,
% 164.64/164.91 add(X_677,
% 164.64/164.91 add(0, '==>'(X_677, '==>'(X_675, 1)))))))],
% 164.64/164.91 [refute_0_236, refute_0_239])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_241, plain,
% 164.64/164.91 (1 = add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1))))),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_240 :
% 164.64/164.91 [bind(X_675, $fot(X_843)), bind(X_677, $fot(X_845))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_242, plain,
% 164.64/164.91 (1 != add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1)))) |
% 164.64/164.91 add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1)))) = 1),
% 164.64/164.91 inference(subst, [],
% 164.64/164.91 [refute_0_42 :
% 164.64/164.91 [bind(X, $fot(1)),
% 164.64/164.91 bind(Y,
% 164.64/164.91 $fot(add(X_843,
% 164.64/164.91 add(X_845,
% 164.64/164.91 '==>'(X_845, '==>'(X_843, 1))))))]])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_243, plain,
% 164.64/164.91 (add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1)))) = 1),
% 164.64/164.91 inference(resolve,
% 164.64/164.91 [$cnf($equal(1,
% 164.64/164.91 add(X_843,
% 164.64/164.91 add(X_845, '==>'(X_845, '==>'(X_843, 1))))))],
% 164.64/164.91 [refute_0_241, refute_0_242])).
% 164.64/164.91
% 164.64/164.91 cnf(refute_0_244, plain,
% 164.64/164.91 (add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1)))) != 1 |
% 164.64/164.91 ~
% 164.64/164.91 greater_equal(add(X_843, '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.91 '==>'(X_845,
% 164.64/164.91 add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1)))))) |
% 164.64/164.91 greater_equal(add(X_843, '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.91 '==>'(X_845, 1))),
% 164.64/164.91 introduced(tautology,
% 164.64/164.91 [equality,
% 164.64/164.91 [$cnf(greater_equal(add(X_843,
% 164.64/164.91 '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.92 '==>'(X_845,
% 164.64/164.92 add(X_843,
% 164.64/164.92 add(X_845, '==>'(X_845, '==>'(X_843, 1))))))),
% 164.64/164.92 [1, 1], $fot(1)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_245, plain,
% 164.64/164.92 (~
% 164.64/164.92 greater_equal(add(X_843, '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.92 '==>'(X_845,
% 164.64/164.92 add(X_843, add(X_845, '==>'(X_845, '==>'(X_843, 1)))))) |
% 164.64/164.92 greater_equal(add(X_843, '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.92 '==>'(X_845, 1))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal(add(X_843,
% 164.64/164.92 add(X_845, '==>'(X_845, '==>'(X_843, 1)))), 1))],
% 164.64/164.92 [refute_0_243, refute_0_244])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_246, plain,
% 164.64/164.92 (greater_equal(add(X_843, '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.92 '==>'(X_845, 1))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal(add(X_843,
% 164.64/164.92 '==>'(X_845, '==>'(X_843, 1))),
% 164.64/164.92 '==>'(X_845,
% 164.64/164.92 add(X_843,
% 164.64/164.92 add(X_845, '==>'(X_845, '==>'(X_843, 1)))))))],
% 164.64/164.92 [refute_0_213, refute_0_245])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_247, plain,
% 164.64/164.92 (greater_equal(add(X_967, '==>'('==>'(A, 1), '==>'(X_967, 1))),
% 164.64/164.92 '==>'('==>'(A, 1), 1))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_246 :
% 164.64/164.92 [bind(X_843, $fot(X_967)),
% 164.64/164.92 bind(X_845, $fot('==>'(A, 1)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_248, plain, ('==>'('==>'(A, 1), 1) = '==>'('==>'(1, A), A)),
% 164.64/164.92 inference(subst, [], [refute_0_1 : [bind(B, $fot(1))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_249, plain,
% 164.64/164.92 (~ greater_equal(X_334, '==>'('==>'(1, X_333), X_334)) |
% 164.64/164.92 ~ greater_equal('==>'('==>'(1, X_333), X_334), X_334) |
% 164.64/164.92 X_334 = '==>'('==>'(1, X_333), X_334)),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_5 :
% 164.64/164.92 [bind(X3, $fot(X_334)),
% 164.64/164.92 bind(X4, $fot('==>'('==>'(1, X_333), X_334)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_250, plain,
% 164.64/164.92 (~ greater_equal(add(1, X_107), X_108) |
% 164.64/164.92 greater_equal(X_107, '==>'(1, X_108))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_18 :
% 164.64/164.92 [bind(X5, $fot(1)), bind(X6, $fot(X_107)),
% 164.64/164.92 bind(X7, $fot(X_108))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_251, plain, (add(1, X_107) = 1),
% 164.64/164.92 inference(subst, [], [refute_0_219 : [bind(A, $fot(X_107))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_252, plain,
% 164.64/164.92 (add(1, X_107) != 1 | ~ greater_equal(1, X_108) |
% 164.64/164.92 greater_equal(add(1, X_107), X_108)),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf(~ greater_equal(add(1, X_107), X_108)), [0],
% 164.64/164.92 $fot(1)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_253, plain,
% 164.64/164.92 (~ greater_equal(1, X_108) | greater_equal(add(1, X_107), X_108)),
% 164.64/164.92 inference(resolve, [$cnf($equal(add(1, X_107), 1))],
% 164.64/164.92 [refute_0_251, refute_0_252])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_254, plain,
% 164.64/164.92 (~ greater_equal(1, X_108) | greater_equal(X_107, '==>'(1, X_108))),
% 164.64/164.92 inference(resolve, [$cnf(greater_equal(add(1, X_107), X_108))],
% 164.64/164.92 [refute_0_253, refute_0_250])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_255, plain, (greater_equal(1, X_108)),
% 164.64/164.92 inference(subst, [], [refute_0_223 : [bind(X_27, $fot(X_108))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_256, plain, (greater_equal(X_107, '==>'(1, X_108))),
% 164.64/164.92 inference(resolve, [$cnf(greater_equal(1, X_108))],
% 164.64/164.92 [refute_0_255, refute_0_254])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_257, plain, (greater_equal(X_218, '==>'(1, X_108))),
% 164.64/164.92 inference(subst, [], [refute_0_256 : [bind(X_107, $fot(X_218))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_258, plain,
% 164.64/164.92 (~ greater_equal(X11, X12) |
% 164.64/164.92 greater_equal('==>'(X12, X13), '==>'(X11, X13))),
% 164.64/164.92 inference(canonicalize, [], [normalize_0_28])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_259, plain,
% 164.64/164.92 (~ greater_equal(X_218, '==>'(1, X_108)) |
% 164.64/164.92 greater_equal('==>'('==>'(1, X_108), X_220), '==>'(X_218, X_220))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_258 :
% 164.64/164.92 [bind(X11, $fot(X_218)), bind(X12, $fot('==>'(1, X_108))),
% 164.64/164.92 bind(X13, $fot(X_220))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_260, plain,
% 164.64/164.92 (greater_equal('==>'('==>'(1, X_108), X_220), '==>'(X_218, X_220))),
% 164.64/164.92 inference(resolve, [$cnf(greater_equal(X_218, '==>'(1, X_108)))],
% 164.64/164.92 [refute_0_257, refute_0_259])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_261, plain,
% 164.64/164.92 (greater_equal('==>'('==>'(1, X_108), X_220), '==>'(0, X_220))),
% 164.64/164.92 inference(subst, [], [refute_0_260 : [bind(X_218, $fot(0))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_262, plain, ('==>'(0, X_220) = X_220),
% 164.64/164.92 inference(subst, [], [refute_0_138 : [bind(X_309, $fot(X_220))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_263, plain,
% 164.64/164.92 ('==>'(0, X_220) != X_220 |
% 164.64/164.92 ~ greater_equal('==>'('==>'(1, X_108), X_220), '==>'(0, X_220)) |
% 164.64/164.92 greater_equal('==>'('==>'(1, X_108), X_220), X_220)),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf(greater_equal('==>'('==>'(1, X_108), X_220),
% 164.64/164.92 '==>'(0, X_220))), [1], $fot(X_220)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_264, plain,
% 164.64/164.92 (~ greater_equal('==>'('==>'(1, X_108), X_220), '==>'(0, X_220)) |
% 164.64/164.92 greater_equal('==>'('==>'(1, X_108), X_220), X_220)),
% 164.64/164.92 inference(resolve, [$cnf($equal('==>'(0, X_220), X_220))],
% 164.64/164.92 [refute_0_262, refute_0_263])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_265, plain,
% 164.64/164.92 (greater_equal('==>'('==>'(1, X_108), X_220), X_220)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal('==>'('==>'(1, X_108), X_220),
% 164.64/164.92 '==>'(0, X_220)))], [refute_0_261, refute_0_264])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_266, plain,
% 164.64/164.92 (greater_equal('==>'('==>'(1, X_333), X_334), X_334)),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_265 :
% 164.64/164.92 [bind(X_108, $fot(X_333)), bind(X_220, $fot(X_334))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_267, plain,
% 164.64/164.92 (~ greater_equal(X_334, '==>'('==>'(1, X_333), X_334)) |
% 164.64/164.92 X_334 = '==>'('==>'(1, X_333), X_334)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal('==>'('==>'(1, X_333), X_334), X_334))],
% 164.64/164.92 [refute_0_266, refute_0_249])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_268, plain,
% 164.64/164.92 (greater_equal(X_334, '==>'('==>'(1, X_333), X_334))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_67 :
% 164.64/164.92 [bind(X_106, $fot('==>'(1, X_333))),
% 164.64/164.92 bind(X_108, $fot(X_334))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_269, plain, (X_334 = '==>'('==>'(1, X_333), X_334)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal(X_334, '==>'('==>'(1, X_333), X_334)))],
% 164.64/164.92 [refute_0_268, refute_0_267])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_270, plain, (A = '==>'('==>'(1, A), A)),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_269 :
% 164.64/164.92 [bind(X_333, $fot(A)), bind(X_334, $fot(A))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_271, plain,
% 164.64/164.92 (A != '==>'('==>'(1, A), A) | '==>'('==>'(1, A), A) = A),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_42 :
% 164.64/164.92 [bind(X, $fot(A)), bind(Y, $fot('==>'('==>'(1, A), A)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_272, plain, ('==>'('==>'(1, A), A) = A),
% 164.64/164.92 inference(resolve, [$cnf($equal(A, '==>'('==>'(1, A), A)))],
% 164.64/164.92 [refute_0_270, refute_0_271])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_273, plain,
% 164.64/164.92 ('==>'('==>'(A, 1), 1) != '==>'('==>'(1, A), A) |
% 164.64/164.92 '==>'('==>'(1, A), A) != A | '==>'('==>'(A, 1), 1) = A),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf(~ $equal('==>'('==>'(A, 1), 1), A)), [0],
% 164.64/164.92 $fot('==>'('==>'(1, A), A))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_274, plain,
% 164.64/164.92 ('==>'('==>'(A, 1), 1) != '==>'('==>'(1, A), A) |
% 164.64/164.92 '==>'('==>'(A, 1), 1) = A),
% 164.64/164.92 inference(resolve, [$cnf($equal('==>'('==>'(1, A), A), A))],
% 164.64/164.92 [refute_0_272, refute_0_273])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_275, plain, ('==>'('==>'(A, 1), 1) = A),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'(A, 1), 1), '==>'('==>'(1, A), A)))],
% 164.64/164.92 [refute_0_248, refute_0_274])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_276, plain,
% 164.64/164.92 ('==>'('==>'(A, 1), 1) != A |
% 164.64/164.92 ~
% 164.64/164.92 greater_equal(add(X_967, '==>'('==>'(A, 1), '==>'(X_967, 1))),
% 164.64/164.92 '==>'('==>'(A, 1), 1)) |
% 164.64/164.92 greater_equal(add(X_967, '==>'('==>'(A, 1), '==>'(X_967, 1))), A)),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf(greater_equal(add(X_967,
% 164.64/164.92 '==>'('==>'(A, 1), '==>'(X_967, 1))),
% 164.64/164.92 '==>'('==>'(A, 1), 1))), [1], $fot(A)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_277, plain,
% 164.64/164.92 (~
% 164.64/164.92 greater_equal(add(X_967, '==>'('==>'(A, 1), '==>'(X_967, 1))),
% 164.64/164.92 '==>'('==>'(A, 1), 1)) |
% 164.64/164.92 greater_equal(add(X_967, '==>'('==>'(A, 1), '==>'(X_967, 1))), A)),
% 164.64/164.92 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 164.64/164.92 [refute_0_275, refute_0_276])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_278, plain,
% 164.64/164.92 (greater_equal(add(X_967, '==>'('==>'(A, 1), '==>'(X_967, 1))), A)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal(add(X_967,
% 164.64/164.92 '==>'('==>'(A, 1), '==>'(X_967, 1))),
% 164.64/164.92 '==>'('==>'(A, 1), 1)))],
% 164.64/164.92 [refute_0_247, refute_0_277])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_279, plain,
% 164.64/164.92 (greater_equal(add(X_967, '==>'('==>'(X_1042, 1), '==>'(X_967, 1))),
% 164.64/164.92 X_1042)),
% 164.64/164.92 inference(subst, [], [refute_0_278 : [bind(A, $fot(X_1042))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_280, plain,
% 164.64/164.92 (~
% 164.64/164.92 greater_equal(add(X_967, '==>'('==>'(X_1042, 1), '==>'(X_967, 1))),
% 164.64/164.92 X_1042) |
% 164.64/164.92 greater_equal(0,
% 164.64/164.92 '==>'(add(X_967, '==>'('==>'(X_1042, 1), '==>'(X_967, 1))),
% 164.64/164.92 X_1042))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_24 :
% 164.64/164.92 [bind(X_106,
% 164.64/164.92 $fot(add(X_967,
% 164.64/164.92 '==>'('==>'(X_1042, 1), '==>'(X_967, 1))))),
% 164.64/164.92 bind(X_108, $fot(X_1042))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_281, plain,
% 164.64/164.92 (greater_equal(0,
% 164.64/164.92 '==>'(add(X_967, '==>'('==>'(X_1042, 1), '==>'(X_967, 1))),
% 164.64/164.92 X_1042))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal(add(X_967,
% 164.64/164.92 '==>'('==>'(X_1042, 1), '==>'(X_967, 1))),
% 164.64/164.92 X_1042))], [refute_0_279, refute_0_280])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_282, plain,
% 164.64/164.92 (greater_equal(0,
% 164.64/164.92 '==>'(add(X_1056, '==>'('==>'(X_1055, 1), '==>'(X_1056, 1))),
% 164.64/164.92 X_1055))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_281 :
% 164.64/164.92 [bind(X_1042, $fot(X_1055)), bind(X_967, $fot(X_1056))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_283, plain,
% 164.64/164.92 ('==>'(add(X_1056, '==>'('==>'(X_1055, 1), '==>'(X_1056, 1))),
% 164.64/164.92 X_1055) = 0),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal(0,
% 164.64/164.92 '==>'(add(X_1056,
% 164.64/164.92 '==>'('==>'(X_1055, 1), '==>'(X_1056, 1))),
% 164.64/164.92 X_1055)))], [refute_0_282, refute_0_181])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_284, plain,
% 164.64/164.92 ('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1065, 1), '==>'('==>'(A, 1), 1))), X_1065) = 0),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_283 :
% 164.64/164.92 [bind(X_1055, $fot(X_1065)),
% 164.64/164.92 bind(X_1056, $fot('==>'(A, 1)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_285, plain,
% 164.64/164.92 ('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1065, 1), '==>'('==>'(A, 1), 1))), X_1065) != 0 |
% 164.64/164.92 '==>'('==>'(A, 1), 1) != A |
% 164.64/164.92 '==>'(add('==>'(A, 1), '==>'('==>'(X_1065, 1), A)), X_1065) = 0),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf($equal('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1065, 1),
% 164.64/164.92 '==>'('==>'(A, 1), 1))), X_1065), 0)),
% 164.64/164.92 [0, 0, 1, 1], $fot(A)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_286, plain,
% 164.64/164.92 ('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1065, 1), '==>'('==>'(A, 1), 1))), X_1065) != 0 |
% 164.64/164.92 '==>'(add('==>'(A, 1), '==>'('==>'(X_1065, 1), A)), X_1065) = 0),
% 164.64/164.92 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 164.64/164.92 [refute_0_275, refute_0_285])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_287, plain,
% 164.64/164.92 ('==>'(add('==>'(A, 1), '==>'('==>'(X_1065, 1), A)), X_1065) = 0),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1065, 1), '==>'('==>'(A, 1), 1))),
% 164.64/164.92 X_1065), 0))], [refute_0_284, refute_0_286])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_288, plain,
% 164.64/164.92 ('==>'(add('==>'(A, 1), '==>'('==>'(X_1998, 1), A)), X_1998) = 0),
% 164.64/164.92 inference(subst, [], [refute_0_287 : [bind(X_1065, $fot(X_1998))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_289, plain,
% 164.64/164.92 ('==>'(add('==>'(A, 1), '==>'('==>'(X_1998, 1), A)), X_1998) != 0 |
% 164.64/164.92 ~
% 164.64/164.92 greater_equal('==>'(add('==>'(A, 1), '==>'('==>'(X_1998, 1), A)),
% 164.64/164.92 X_1998),
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A), '==>'('==>'(A, 1), X_1998))) |
% 164.64/164.92 greater_equal(0,
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A), '==>'('==>'(A, 1), X_1998)))),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf(greater_equal('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1998, 1), A)), X_1998),
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A),
% 164.64/164.92 '==>'('==>'(A, 1), X_1998)))), [0], $fot(0)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_290, plain,
% 164.64/164.92 (~
% 164.64/164.92 greater_equal('==>'(add('==>'(A, 1), '==>'('==>'(X_1998, 1), A)),
% 164.64/164.92 X_1998),
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A), '==>'('==>'(A, 1), X_1998))) |
% 164.64/164.92 greater_equal(0,
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A), '==>'('==>'(A, 1), X_1998)))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1998, 1), A)), X_1998), 0))],
% 164.64/164.92 [refute_0_288, refute_0_289])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_291, plain,
% 164.64/164.92 (greater_equal(0,
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A), '==>'('==>'(A, 1), X_1998)))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal('==>'(add('==>'(A, 1),
% 164.64/164.92 '==>'('==>'(X_1998, 1), A)), X_1998),
% 164.64/164.92 '==>'('==>'('==>'(X_1998, 1), A),
% 164.64/164.92 '==>'('==>'(A, 1), X_1998))))],
% 164.64/164.92 [refute_0_180, refute_0_290])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_292, plain,
% 164.64/164.92 (greater_equal(0,
% 164.64/164.92 '==>'('==>'('==>'(X_2000, 1), X_1999),
% 164.64/164.92 '==>'('==>'(X_1999, 1), X_2000)))),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_291 :
% 164.64/164.92 [bind(A, $fot(X_1999)), bind(X_1998, $fot(X_2000))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_293, plain,
% 164.64/164.92 ('==>'('==>'('==>'(X_2000, 1), X_1999),
% 164.64/164.92 '==>'('==>'(X_1999, 1), X_2000)) = 0),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf(greater_equal(0,
% 164.64/164.92 '==>'('==>'('==>'(X_2000, 1), X_1999),
% 164.64/164.92 '==>'('==>'(X_1999, 1), X_2000))))],
% 164.64/164.92 [refute_0_292, refute_0_168])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_294, plain,
% 164.64/164.92 ('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)) = 0),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_293 :
% 164.64/164.92 [bind(X_1999, $fot(X_2001)), bind(X_2000, $fot(X_2002))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_295, plain,
% 164.64/164.92 ('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)) != 0 |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)))), [1, 0],
% 164.64/164.92 $fot(0)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_296, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)), 0))],
% 164.64/164.92 [refute_0_294, refute_0_295])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_297, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002))))],
% 164.64/164.92 [refute_0_167, refute_0_296])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_298, plain,
% 164.64/164.92 ('==>'(0, '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_138 :
% 164.64/164.92 [bind(X_309, $fot('==>'('==>'(X_2002, 1), X_2001)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_299, plain,
% 164.64/164.92 ('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) = 0),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_293 :
% 164.64/164.92 [bind(X_1999, $fot(X_2002)), bind(X_2000, $fot(X_2001))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_300, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001))),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [refl,
% 164.64/164.92 [$fot('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_301, plain,
% 164.64/164.92 ('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) != 0 |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2002, 1), X_2001))),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)))), [1, 0],
% 164.64/164.92 $fot(0)]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_302, plain,
% 164.64/164.92 ('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) != 0 |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2002, 1), X_2001))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001))))],
% 164.64/164.92 [refute_0_300, refute_0_301])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_303, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2002, 1), X_2001))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)), 0))],
% 164.64/164.92 [refute_0_299, refute_0_302])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_304, plain,
% 164.64/164.92 ('==>'(0, '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2002, 1), X_2001)) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) = '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_151 :
% 164.64/164.92 [bind(X,
% 164.64/164.92 $fot('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)))),
% 164.64/164.92 bind(Y, $fot('==>'(0, '==>'('==>'(X_2002, 1), X_2001)))),
% 164.64/164.92 bind(Z, $fot('==>'('==>'(X_2002, 1), X_2001)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_305, plain,
% 164.64/164.92 ('==>'(0, '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) = '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2002, 1), X_2001))))],
% 164.64/164.92 [refute_0_303, refute_0_304])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_306, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) = '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'(0, '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)))],
% 164.64/164.92 [refute_0_298, refute_0_305])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_307, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) |
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)))), [0],
% 164.64/164.92 $fot('==>'('==>'(X_2002, 1), X_2001))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_308, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) =
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)))],
% 164.64/164.92 [refute_0_306, refute_0_307])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_309, plain,
% 164.64/164.92 ('==>'(0, '==>'('==>'(X_2001, 1), X_2002)) =
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 inference(subst, [],
% 164.64/164.92 [refute_0_138 :
% 164.64/164.92 [bind(X_309, $fot('==>'('==>'(X_2001, 1), X_2002)))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_310, plain,
% 164.64/164.92 ('==>'(0, '==>'('==>'(X_2001, 1), X_2002)) !=
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002) |
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) !=
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) = '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 introduced(tautology,
% 164.64/164.92 [equality,
% 164.64/164.92 [$cnf($equal('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)))), [1],
% 164.64/164.92 $fot('==>'('==>'(X_2001, 1), X_2002))]])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_311, plain,
% 164.64/164.92 ('==>'('==>'(X_2002, 1), X_2001) !=
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) = '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'(0, '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 '==>'('==>'(X_2001, 1), X_2002)))],
% 164.64/164.92 [refute_0_309, refute_0_310])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_312, plain,
% 164.64/164.92 ('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)) !=
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002)) |
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001) = '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'(X_2002, 1), X_2001),
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))))],
% 164.64/164.92 [refute_0_308, refute_0_311])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_313, plain,
% 164.64/164.92 ('==>'('==>'(X_2002, 1), X_2001) = '==>'('==>'(X_2001, 1), X_2002)),
% 164.64/164.92 inference(resolve,
% 164.64/164.92 [$cnf($equal('==>'('==>'('==>'('==>'(X_2001, 1), X_2002),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'('==>'(X_2002, 1), X_2001)),
% 164.64/164.92 '==>'(0, '==>'('==>'(X_2001, 1), X_2002))))],
% 164.64/164.92 [refute_0_297, refute_0_312])).
% 164.64/164.92
% 164.64/164.92 cnf(refute_0_314, plain,
% 164.64/164.92 ('==>'('==>'(X_2746, 1), X_2001) = '==>'('==>'(X_2001, 1), X_2746)),
% 164.64/164.92 inference(subst, [], [refute_0_313 : [bind(X_2002, $fot(X_2746))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_315, plain,
% 164.64/164.93 ('==>'('==>'(X_2746, 1), X_2001) != '==>'('==>'(X_2001, 1), X_2746) |
% 164.64/164.93 '==>'('==>'(X_2001, 1), X_2746) = '==>'('==>'(X_2746, 1), X_2001)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot('==>'('==>'(X_2746, 1), X_2001))),
% 164.64/164.93 bind(Y, $fot('==>'('==>'(X_2001, 1), X_2746)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_316, plain,
% 164.64/164.93 ('==>'('==>'(X_2001, 1), X_2746) = '==>'('==>'(X_2746, 1), X_2001)),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.93 '==>'('==>'(X_2001, 1), X_2746)))],
% 164.64/164.93 [refute_0_314, refute_0_315])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_317, plain,
% 164.64/164.93 (0 !=
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2001, 1), X_2746), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) |
% 164.64/164.93 '==>'('==>'(X_2001, 1), X_2746) != '==>'('==>'(X_2746, 1), X_2001) |
% 164.64/164.93 0 =
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1)))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf($equal(0,
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2001, 1), X_2746),
% 164.64/164.93 X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.93 '==>'(X_2001, 1))))), [1, 0, 0],
% 164.64/164.93 $fot('==>'('==>'(X_2746, 1), X_2001))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_318, plain,
% 164.64/164.93 (0 !=
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2001, 1), X_2746), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) |
% 164.64/164.93 0 =
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal('==>'('==>'(X_2001, 1), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, 1), X_2001)))],
% 164.64/164.93 [refute_0_316, refute_0_317])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_319, plain,
% 164.64/164.93 (0 =
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(0,
% 164.64/164.93 '==>'('==>'('==>'('==>'(X_2001, 1), X_2746), X_2746),
% 164.64/164.93 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.93 '==>'(X_2001, 1)))))],
% 164.64/164.93 [refute_0_166, refute_0_318])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_320, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal('==>'(X_988, '==>'(X_989, 1)),
% 164.64/164.93 '==>'(add(X_988, X_989), 1)) |
% 164.64/164.93 ~
% 164.64/164.93 greater_equal('==>'(add(X_988, X_989), 1),
% 164.64/164.93 '==>'(X_988, '==>'(X_989, 1))) |
% 164.64/164.93 '==>'(X_988, '==>'(X_989, 1)) = '==>'(add(X_988, X_989), 1)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_5 :
% 164.64/164.93 [bind(X3, $fot('==>'(X_988, '==>'(X_989, 1)))),
% 164.64/164.93 bind(X4, $fot('==>'(add(X_988, X_989), 1)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_321, plain,
% 164.64/164.93 (~ greater_equal(add(X5, X6), '==>'(X_117, add(X_117, add(X5, X6)))) |
% 164.64/164.93 greater_equal(X6, '==>'(X5, '==>'(X_117, add(X_117, add(X5, X6)))))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_18 :
% 164.64/164.93 [bind(X7, $fot('==>'(X_117, add(X_117, add(X5, X6)))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_322, plain,
% 164.64/164.93 (greater_equal(add(X_106, X_107), add(X_106, X_107))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_11 : [bind(A, $fot(add(X_106, X_107)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_323, plain,
% 164.64/164.93 (~ greater_equal(add(X_106, X_107), add(X_106, X_107)) |
% 164.64/164.93 greater_equal(X_107, '==>'(X_106, add(X_106, X_107)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_18 :
% 164.64/164.93 [bind(X5, $fot(X_106)), bind(X6, $fot(X_107)),
% 164.64/164.93 bind(X7, $fot(add(X_106, X_107)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_324, plain,
% 164.64/164.93 (greater_equal(X_107, '==>'(X_106, add(X_106, X_107)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal(add(X_106, X_107), add(X_106, X_107)))],
% 164.64/164.93 [refute_0_322, refute_0_323])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_325, plain,
% 164.64/164.93 (greater_equal(add(X5, X6), '==>'(X_117, add(X_117, add(X5, X6))))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_324 :
% 164.64/164.93 [bind(X_106, $fot(X_117)),
% 164.64/164.93 bind(X_107, $fot(add(X5, X6)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_326, plain,
% 164.64/164.93 (greater_equal(X6, '==>'(X5, '==>'(X_117, add(X_117, add(X5, X6)))))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal(add(X5, X6),
% 164.64/164.93 '==>'(X_117, add(X_117, add(X5, X6)))))],
% 164.64/164.93 [refute_0_325, refute_0_321])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_327, plain,
% 164.64/164.93 (greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833,
% 164.64/164.93 '==>'(X_835,
% 164.64/164.93 add(X_835, add(X_833, '==>'(add(X_833, X_835), 1))))))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_326 :
% 164.64/164.93 [bind(X5, $fot(X_833)),
% 164.64/164.93 bind(X6, $fot('==>'(add(X_833, X_835), 1))),
% 164.64/164.93 bind(X_117, $fot(X_835))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_328, plain,
% 164.64/164.93 (add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))) =
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_198 :
% 164.64/164.93 [bind(X_12, $fot('==>'(add(X_10, X_11), 1)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_329, plain,
% 164.64/164.93 (add(add(A, B), '==>'(add(A, B), 1)) =
% 164.64/164.93 add(A, add(B, '==>'(add(A, B), 1)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_88 : [bind(C, $fot('==>'(add(A, B), 1)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_330, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal('==>'(X_256, add(X_255, X_257)),
% 164.64/164.93 '==>'(X_256, X_255)) |
% 164.64/164.93 greater_equal(add(X_256, '==>'(X_256, add(X_255, X_257))), X_255)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_9 :
% 164.64/164.93 [bind(X5, $fot(X_256)),
% 164.64/164.93 bind(X6, $fot('==>'(X_256, add(X_255, X_257)))),
% 164.64/164.93 bind(X7, $fot(X_255))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_331, plain, (greater_equal(add(X_28, X_27), X_27)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_64 :
% 164.64/164.93 [bind(X_24, $fot(X_27)), bind(X_25, $fot(X_28))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_332, plain, (add(X_27, X_28) = add(X_28, X_27)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_56 : [bind(A, $fot(X_27)), bind(B, $fot(X_28))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_333, plain,
% 164.64/164.93 (add(X_27, X_28) != add(X_28, X_27) |
% 164.64/164.93 add(X_28, X_27) = add(X_27, X_28)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot(add(X_27, X_28))),
% 164.64/164.93 bind(Y, $fot(add(X_28, X_27)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_334, plain, (add(X_28, X_27) = add(X_27, X_28)),
% 164.64/164.93 inference(resolve, [$cnf($equal(add(X_27, X_28), add(X_28, X_27)))],
% 164.64/164.93 [refute_0_332, refute_0_333])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_335, plain,
% 164.64/164.93 (add(X_28, X_27) != add(X_27, X_28) |
% 164.64/164.93 ~ greater_equal(add(X_28, X_27), X_27) |
% 164.64/164.93 greater_equal(add(X_27, X_28), X_27)),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(greater_equal(add(X_28, X_27), X_27)), [0],
% 164.64/164.93 $fot(add(X_27, X_28))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_336, plain,
% 164.64/164.93 (~ greater_equal(add(X_28, X_27), X_27) |
% 164.64/164.93 greater_equal(add(X_27, X_28), X_27)),
% 164.64/164.93 inference(resolve, [$cnf($equal(add(X_28, X_27), add(X_27, X_28)))],
% 164.64/164.93 [refute_0_334, refute_0_335])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_337, plain, (greater_equal(add(X_27, X_28), X_27)),
% 164.64/164.93 inference(resolve, [$cnf(greater_equal(add(X_28, X_27), X_27))],
% 164.64/164.93 [refute_0_331, refute_0_336])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_338, plain, (greater_equal(add(X_243, X_28), X_243)),
% 164.64/164.93 inference(subst, [], [refute_0_337 : [bind(X_27, $fot(X_243))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_339, plain,
% 164.64/164.93 (~ greater_equal(X14, X15) |
% 164.64/164.93 greater_equal('==>'(X16, X14), '==>'(X16, X15))),
% 164.64/164.93 inference(canonicalize, [], [normalize_0_31])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_340, plain,
% 164.64/164.93 (~ greater_equal(add(X_243, X_28), X_243) |
% 164.64/164.93 greater_equal('==>'(X_244, add(X_243, X_28)), '==>'(X_244, X_243))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_339 :
% 164.64/164.93 [bind(X14, $fot(add(X_243, X_28))), bind(X15, $fot(X_243)),
% 164.64/164.93 bind(X16, $fot(X_244))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_341, plain,
% 164.64/164.93 (greater_equal('==>'(X_244, add(X_243, X_28)), '==>'(X_244, X_243))),
% 164.64/164.93 inference(resolve, [$cnf(greater_equal(add(X_243, X_28), X_243))],
% 164.64/164.93 [refute_0_338, refute_0_340])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_342, plain,
% 164.64/164.93 (greater_equal('==>'(X_256, add(X_255, X_257)), '==>'(X_256, X_255))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_341 :
% 164.64/164.93 [bind(X_243, $fot(X_255)), bind(X_244, $fot(X_256)),
% 164.64/164.93 bind(X_28, $fot(X_257))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_343, plain,
% 164.64/164.93 (greater_equal(add(X_256, '==>'(X_256, add(X_255, X_257))), X_255)),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal('==>'(X_256, add(X_255, X_257)),
% 164.64/164.93 '==>'(X_256, X_255)))],
% 164.64/164.93 [refute_0_342, refute_0_330])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_344, plain,
% 164.64/164.93 (greater_equal(add(X_256, '==>'(X_256, add(1, X_257))), 1)),
% 164.64/164.93 inference(subst, [], [refute_0_343 : [bind(X_255, $fot(1))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_345, plain,
% 164.64/164.93 (~ greater_equal(add(X_256, '==>'(X_256, add(1, X_257))), 1) |
% 164.64/164.93 1 = add(X_256, '==>'(X_256, add(1, X_257)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_226 :
% 164.64/164.93 [bind(X_309,
% 164.64/164.93 $fot(add(X_256, '==>'(X_256, add(1, X_257)))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_346, plain, (1 = add(X_256, '==>'(X_256, add(1, X_257)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal(add(X_256, '==>'(X_256, add(1, X_257))),
% 164.64/164.93 1))], [refute_0_344, refute_0_345])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_347, plain, (add(1, X_257) = 1),
% 164.64/164.93 inference(subst, [], [refute_0_219 : [bind(A, $fot(X_257))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_348, plain,
% 164.64/164.93 ('==>'(X_256, add(1, X_257)) = '==>'(X_256, add(1, X_257))),
% 164.64/164.93 introduced(tautology, [refl, [$fot('==>'(X_256, add(1, X_257)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_349, plain,
% 164.64/164.93 (add(1, X_257) != 1 |
% 164.64/164.93 '==>'(X_256, add(1, X_257)) != '==>'(X_256, add(1, X_257)) |
% 164.64/164.93 '==>'(X_256, add(1, X_257)) = '==>'(X_256, 1)),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf($equal('==>'(X_256, add(1, X_257)),
% 164.64/164.93 '==>'(X_256, add(1, X_257)))), [1, 1], $fot(1)]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_350, plain,
% 164.64/164.93 (add(1, X_257) != 1 | '==>'(X_256, add(1, X_257)) = '==>'(X_256, 1)),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal('==>'(X_256, add(1, X_257)),
% 164.64/164.93 '==>'(X_256, add(1, X_257))))],
% 164.64/164.93 [refute_0_348, refute_0_349])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_351, plain, ('==>'(X_256, add(1, X_257)) = '==>'(X_256, 1)),
% 164.64/164.93 inference(resolve, [$cnf($equal(add(1, X_257), 1))],
% 164.64/164.93 [refute_0_347, refute_0_350])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_352, plain,
% 164.64/164.93 (add(X_256, '==>'(X_256, add(1, X_257))) =
% 164.64/164.93 add(X_256, '==>'(X_256, add(1, X_257)))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [refl, [$fot(add(X_256, '==>'(X_256, add(1, X_257))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_353, plain,
% 164.64/164.93 (add(X_256, '==>'(X_256, add(1, X_257))) !=
% 164.64/164.93 add(X_256, '==>'(X_256, add(1, X_257))) |
% 164.64/164.93 '==>'(X_256, add(1, X_257)) != '==>'(X_256, 1) |
% 164.64/164.93 add(X_256, '==>'(X_256, add(1, X_257))) =
% 164.64/164.93 add(X_256, '==>'(X_256, 1))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf($equal(add(X_256, '==>'(X_256, add(1, X_257))),
% 164.64/164.93 add(X_256, '==>'(X_256, add(1, X_257))))), [1, 1],
% 164.64/164.93 $fot('==>'(X_256, 1))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_354, plain,
% 164.64/164.93 ('==>'(X_256, add(1, X_257)) != '==>'(X_256, 1) |
% 164.64/164.93 add(X_256, '==>'(X_256, add(1, X_257))) =
% 164.64/164.93 add(X_256, '==>'(X_256, 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_256, '==>'(X_256, add(1, X_257))),
% 164.64/164.93 add(X_256, '==>'(X_256, add(1, X_257)))))],
% 164.64/164.93 [refute_0_352, refute_0_353])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_355, plain,
% 164.64/164.93 (add(X_256, '==>'(X_256, add(1, X_257))) =
% 164.64/164.93 add(X_256, '==>'(X_256, 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal('==>'(X_256, add(1, X_257)), '==>'(X_256, 1)))],
% 164.64/164.93 [refute_0_351, refute_0_354])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_356, plain,
% 164.64/164.93 (add(X_256, '==>'(X_256, add(1, X_257))) !=
% 164.64/164.93 add(X_256, '==>'(X_256, 1)) |
% 164.64/164.93 1 != add(X_256, '==>'(X_256, add(1, X_257))) |
% 164.64/164.93 1 = add(X_256, '==>'(X_256, 1))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf($equal(1, add(X_256, '==>'(X_256, add(1, X_257))))),
% 164.64/164.93 [1], $fot(add(X_256, '==>'(X_256, 1)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_357, plain,
% 164.64/164.93 (1 != add(X_256, '==>'(X_256, add(1, X_257))) |
% 164.64/164.93 1 = add(X_256, '==>'(X_256, 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_256, '==>'(X_256, add(1, X_257))),
% 164.64/164.93 add(X_256, '==>'(X_256, 1))))],
% 164.64/164.93 [refute_0_355, refute_0_356])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_358, plain, (1 = add(X_256, '==>'(X_256, 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(1, add(X_256, '==>'(X_256, add(1, X_257)))))],
% 164.64/164.93 [refute_0_346, refute_0_357])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_359, plain, (1 = add(add(A, B), '==>'(add(A, B), 1))),
% 164.64/164.93 inference(subst, [], [refute_0_358 : [bind(X_256, $fot(add(A, B)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_360, plain,
% 164.64/164.93 (1 != add(add(A, B), '==>'(add(A, B), 1)) |
% 164.64/164.93 add(add(A, B), '==>'(add(A, B), 1)) = 1),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot(1)),
% 164.64/164.93 bind(Y, $fot(add(add(A, B), '==>'(add(A, B), 1))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_361, plain, (add(add(A, B), '==>'(add(A, B), 1)) = 1),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(1, add(add(A, B), '==>'(add(A, B), 1))))],
% 164.64/164.93 [refute_0_359, refute_0_360])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_362, plain,
% 164.64/164.93 (add(add(A, B), '==>'(add(A, B), 1)) !=
% 164.64/164.93 add(A, add(B, '==>'(add(A, B), 1))) |
% 164.64/164.93 add(add(A, B), '==>'(add(A, B), 1)) != 1 |
% 164.64/164.93 1 = add(A, add(B, '==>'(add(A, B), 1)))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf($equal(add(add(A, B), '==>'(add(A, B), 1)),
% 164.64/164.93 add(A, add(B, '==>'(add(A, B), 1))))), [0],
% 164.64/164.93 $fot(1)]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_363, plain,
% 164.64/164.93 (add(add(A, B), '==>'(add(A, B), 1)) !=
% 164.64/164.93 add(A, add(B, '==>'(add(A, B), 1))) |
% 164.64/164.93 1 = add(A, add(B, '==>'(add(A, B), 1)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(add(A, B), '==>'(add(A, B), 1)), 1))],
% 164.64/164.93 [refute_0_361, refute_0_362])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_364, plain, (1 = add(A, add(B, '==>'(add(A, B), 1)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(add(A, B), '==>'(add(A, B), 1)),
% 164.64/164.93 add(A, add(B, '==>'(add(A, B), 1)))))],
% 164.64/164.93 [refute_0_329, refute_0_363])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_365, plain,
% 164.64/164.93 (1 = add(X_10, add(X_11, '==>'(add(X_10, X_11), 1)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_364 :
% 164.64/164.93 [bind(A, $fot(X_10)), bind(B, $fot(X_11))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_366, plain,
% 164.64/164.93 (1 != add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))) |
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))) = 1),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot(1)),
% 164.64/164.93 bind(Y,
% 164.64/164.93 $fot(add(X_10,
% 164.64/164.93 add(X_11, '==>'(add(X_10, X_11), 1)))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_367, plain,
% 164.64/164.93 (add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))) = 1),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(1,
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1)))))],
% 164.64/164.93 [refute_0_365, refute_0_366])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_368, plain,
% 164.64/164.93 (add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))) != 1 |
% 164.64/164.93 add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))) !=
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))) |
% 164.64/164.93 add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))) = 1),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf($equal(add(X_11,
% 164.64/164.93 add(X_10, '==>'(add(X_10, X_11), 1))),
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))))),
% 164.64/164.93 [1], $fot(1)]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_369, plain,
% 164.64/164.93 (add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))) !=
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))) |
% 164.64/164.93 add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))) = 1),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_10, add(X_11, '==>'(add(X_10, X_11), 1))),
% 164.64/164.93 1))], [refute_0_367, refute_0_368])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_370, plain,
% 164.64/164.93 (add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))) = 1),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_11, add(X_10, '==>'(add(X_10, X_11), 1))),
% 164.64/164.93 add(X_10, add(X_11, '==>'(add(X_10, X_11), 1)))))],
% 164.64/164.93 [refute_0_328, refute_0_369])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_371, plain,
% 164.64/164.93 (add(X_835, add(X_833, '==>'(add(X_833, X_835), 1))) = 1),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_370 :
% 164.64/164.93 [bind(X_10, $fot(X_833)), bind(X_11, $fot(X_835))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_372, plain,
% 164.64/164.93 (add(X_835, add(X_833, '==>'(add(X_833, X_835), 1))) != 1 |
% 164.64/164.93 ~
% 164.64/164.93 greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833,
% 164.64/164.93 '==>'(X_835,
% 164.64/164.93 add(X_835, add(X_833, '==>'(add(X_833, X_835), 1)))))) |
% 164.64/164.93 greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833, '==>'(X_835, 1)))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833,
% 164.64/164.93 '==>'(X_835,
% 164.64/164.93 add(X_835,
% 164.64/164.93 add(X_833, '==>'(add(X_833, X_835), 1))))))),
% 164.64/164.93 [1, 1, 1], $fot(1)]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_373, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833,
% 164.64/164.93 '==>'(X_835,
% 164.64/164.93 add(X_835, add(X_833, '==>'(add(X_833, X_835), 1)))))) |
% 164.64/164.93 greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833, '==>'(X_835, 1)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_835,
% 164.64/164.93 add(X_833, '==>'(add(X_833, X_835), 1))), 1))],
% 164.64/164.93 [refute_0_371, refute_0_372])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_374, plain,
% 164.64/164.93 (greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833, '==>'(X_835, 1)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal('==>'(add(X_833, X_835), 1),
% 164.64/164.93 '==>'(X_833,
% 164.64/164.93 '==>'(X_835,
% 164.64/164.93 add(X_835,
% 164.64/164.93 add(X_833, '==>'(add(X_833, X_835), 1)))))))],
% 164.64/164.93 [refute_0_327, refute_0_373])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_375, plain,
% 164.64/164.93 (greater_equal('==>'(add(X_988, X_989), 1),
% 164.64/164.93 '==>'(X_988, '==>'(X_989, 1)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_374 :
% 164.64/164.93 [bind(X_833, $fot(X_988)), bind(X_835, $fot(X_989))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_376, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal('==>'(X_988, '==>'(X_989, 1)),
% 164.64/164.93 '==>'(add(X_988, X_989), 1)) |
% 164.64/164.93 '==>'(X_988, '==>'(X_989, 1)) = '==>'(add(X_988, X_989), 1)),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal('==>'(add(X_988, X_989), 1),
% 164.64/164.93 '==>'(X_988, '==>'(X_989, 1))))],
% 164.64/164.93 [refute_0_375, refute_0_320])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_377, plain,
% 164.64/164.93 (greater_equal(add(0, add(X_35, X_36)), add(X_36, X_35))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_104 :
% 164.64/164.93 [bind(X_11, $fot(X_35)), bind(X_12, $fot(X_36)),
% 164.64/164.93 bind(X_28, $fot(0))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_378, plain, (add(0, add(X_35, X_36)) = add(X_35, X_36)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_60 : [bind(A, $fot(add(X_35, X_36)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_379, plain,
% 164.64/164.93 (add(0, add(X_35, X_36)) != add(X_35, X_36) |
% 164.64/164.93 ~ greater_equal(add(0, add(X_35, X_36)), add(X_36, X_35)) |
% 164.64/164.93 greater_equal(add(X_35, X_36), add(X_36, X_35))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(greater_equal(add(0, add(X_35, X_36)),
% 164.64/164.93 add(X_36, X_35))), [0], $fot(add(X_35, X_36))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_380, plain,
% 164.64/164.93 (~ greater_equal(add(0, add(X_35, X_36)), add(X_36, X_35)) |
% 164.64/164.93 greater_equal(add(X_35, X_36), add(X_36, X_35))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(0, add(X_35, X_36)), add(X_35, X_36)))],
% 164.64/164.93 [refute_0_378, refute_0_379])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_381, plain, (greater_equal(add(X_35, X_36), add(X_36, X_35))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal(add(0, add(X_35, X_36)),
% 164.64/164.93 add(X_36, X_35)))], [refute_0_377, refute_0_380])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_382, plain,
% 164.64/164.93 (greater_equal(add(X_106, X_107), add(X_107, X_106))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_381 :
% 164.64/164.93 [bind(X_35, $fot(X_106)), bind(X_36, $fot(X_107))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_383, plain,
% 164.64/164.93 (~ greater_equal(add(X_106, X_107), add(X_107, X_106)) |
% 164.64/164.93 greater_equal(X_107, '==>'(X_106, add(X_107, X_106)))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_18 :
% 164.64/164.93 [bind(X5, $fot(X_106)), bind(X6, $fot(X_107)),
% 164.64/164.93 bind(X7, $fot(add(X_107, X_106)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_384, plain,
% 164.64/164.93 (greater_equal(X_107, '==>'(X_106, add(X_107, X_106)))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal(add(X_106, X_107), add(X_107, X_106)))],
% 164.64/164.93 [refute_0_382, refute_0_383])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_385, plain,
% 164.64/164.93 (greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11), add(X_124, add(X_10, X_11))))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_384 :
% 164.64/164.93 [bind(X_106, $fot(add(X_10, X_11))),
% 164.64/164.93 bind(X_107, $fot(X_124))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_386, plain,
% 164.64/164.93 (add(A, add(X_10, X_11)) = add(add(X_10, X_11), A)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_56 : [bind(B, $fot(add(X_10, X_11)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_387, plain,
% 164.64/164.93 (add(add(X_10, X_11), A) = add(X_10, add(X_11, A))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_88 :
% 164.64/164.93 [bind(A, $fot(X_10)), bind(B, $fot(X_11)),
% 164.64/164.93 bind(C, $fot(A))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_388, plain,
% 164.64/164.93 (add(A, add(X_10, X_11)) != add(add(X_10, X_11), A) |
% 164.64/164.93 add(add(X_10, X_11), A) != add(X_10, add(X_11, A)) |
% 164.64/164.93 add(A, add(X_10, X_11)) = add(X_10, add(X_11, A))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(~ $equal(add(A, add(X_10, X_11)),
% 164.64/164.93 add(X_10, add(X_11, A)))), [0],
% 164.64/164.93 $fot(add(add(X_10, X_11), A))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_389, plain,
% 164.64/164.93 (add(A, add(X_10, X_11)) != add(add(X_10, X_11), A) |
% 164.64/164.93 add(A, add(X_10, X_11)) = add(X_10, add(X_11, A))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(add(X_10, X_11), A),
% 164.64/164.93 add(X_10, add(X_11, A))))],
% 164.64/164.93 [refute_0_387, refute_0_388])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_390, plain,
% 164.64/164.93 (add(A, add(X_10, X_11)) = add(X_10, add(X_11, A))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(A, add(X_10, X_11)),
% 164.64/164.93 add(add(X_10, X_11), A)))],
% 164.64/164.93 [refute_0_386, refute_0_389])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_391, plain,
% 164.64/164.93 (add(X_124, add(X_10, X_11)) = add(X_10, add(X_11, X_124))),
% 164.64/164.93 inference(subst, [], [refute_0_390 : [bind(A, $fot(X_124))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_392, plain,
% 164.64/164.93 (add(X_124, add(X_10, X_11)) != add(X_10, add(X_11, X_124)) |
% 164.64/164.93 ~
% 164.64/164.93 greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11), add(X_124, add(X_10, X_11)))) |
% 164.64/164.93 greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11), add(X_10, add(X_11, X_124))))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11),
% 164.64/164.93 add(X_124, add(X_10, X_11))))), [1, 1],
% 164.64/164.93 $fot(add(X_10, add(X_11, X_124)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_393, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11), add(X_124, add(X_10, X_11)))) |
% 164.64/164.93 greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11), add(X_10, add(X_11, X_124))))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_124, add(X_10, X_11)),
% 164.64/164.93 add(X_10, add(X_11, X_124))))],
% 164.64/164.93 [refute_0_391, refute_0_392])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_394, plain,
% 164.64/164.93 (greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11), add(X_10, add(X_11, X_124))))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal(X_124,
% 164.64/164.93 '==>'(add(X_10, X_11),
% 164.64/164.93 add(X_124, add(X_10, X_11)))))],
% 164.64/164.93 [refute_0_385, refute_0_393])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_395, plain,
% 164.64/164.93 (greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732),
% 164.64/164.93 add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1))))))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_394 :
% 164.64/164.93 [bind(X_10, $fot(X_731)), bind(X_11, $fot(X_732)),
% 164.64/164.93 bind(X_124, $fot('==>'(X_732, '==>'(X_731, 1))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_396, plain,
% 164.64/164.93 (1 = add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1))))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_240 :
% 164.64/164.93 [bind(X_675, $fot(X_731)), bind(X_677, $fot(X_732))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_397, plain,
% 164.64/164.93 (1 != add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1)))) |
% 164.64/164.93 add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1)))) = 1),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot(1)),
% 164.64/164.93 bind(Y,
% 164.64/164.93 $fot(add(X_731,
% 164.64/164.93 add(X_732,
% 164.64/164.93 '==>'(X_732, '==>'(X_731, 1))))))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_398, plain,
% 164.64/164.93 (add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1)))) = 1),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(1,
% 164.64/164.93 add(X_731,
% 164.64/164.93 add(X_732, '==>'(X_732, '==>'(X_731, 1))))))],
% 164.64/164.93 [refute_0_396, refute_0_397])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_399, plain,
% 164.64/164.93 (add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1)))) != 1 |
% 164.64/164.93 ~
% 164.64/164.93 greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732),
% 164.64/164.93 add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1)))))) |
% 164.64/164.93 greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732), 1))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732),
% 164.64/164.93 add(X_731,
% 164.64/164.93 add(X_732, '==>'(X_732, '==>'(X_731, 1))))))),
% 164.64/164.93 [1, 1], $fot(1)]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_400, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732),
% 164.64/164.93 add(X_731, add(X_732, '==>'(X_732, '==>'(X_731, 1)))))) |
% 164.64/164.93 greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732), 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_731,
% 164.64/164.93 add(X_732, '==>'(X_732, '==>'(X_731, 1)))), 1))],
% 164.64/164.93 [refute_0_398, refute_0_399])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_401, plain,
% 164.64/164.93 (greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732), 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal('==>'(X_732, '==>'(X_731, 1)),
% 164.64/164.93 '==>'(add(X_731, X_732),
% 164.64/164.93 add(X_731,
% 164.64/164.93 add(X_732, '==>'(X_732, '==>'(X_731, 1)))))))],
% 164.64/164.93 [refute_0_395, refute_0_400])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_402, plain,
% 164.64/164.93 (greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_734, X_735), 1))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_401 :
% 164.64/164.93 [bind(X_731, $fot(X_734)), bind(X_732, $fot(X_735))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_403, plain, (add(X_735, X_734) = add(X_734, X_735)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_56 :
% 164.64/164.93 [bind(A, $fot(X_735)), bind(B, $fot(X_734))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_404, plain,
% 164.64/164.93 (add(X_735, X_734) != add(X_734, X_735) |
% 164.64/164.93 add(X_734, X_735) = add(X_735, X_734)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot(add(X_735, X_734))),
% 164.64/164.93 bind(Y, $fot(add(X_734, X_735)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_405, plain, (add(X_734, X_735) = add(X_735, X_734)),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_735, X_734), add(X_734, X_735)))],
% 164.64/164.93 [refute_0_403, refute_0_404])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_406, plain,
% 164.64/164.93 (add(X_734, X_735) != add(X_735, X_734) |
% 164.64/164.93 ~
% 164.64/164.93 greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_734, X_735), 1)) |
% 164.64/164.93 greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_735, X_734), 1))),
% 164.64/164.93 introduced(tautology,
% 164.64/164.93 [equality,
% 164.64/164.93 [$cnf(greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_734, X_735), 1))), [1, 0],
% 164.64/164.93 $fot(add(X_735, X_734))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_407, plain,
% 164.64/164.93 (~
% 164.64/164.93 greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_734, X_735), 1)) |
% 164.64/164.93 greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_735, X_734), 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf($equal(add(X_734, X_735), add(X_735, X_734)))],
% 164.64/164.93 [refute_0_405, refute_0_406])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_408, plain,
% 164.64/164.93 (greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_735, X_734), 1))),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal('==>'(X_735, '==>'(X_734, 1)),
% 164.64/164.93 '==>'(add(X_734, X_735), 1)))],
% 164.64/164.93 [refute_0_402, refute_0_407])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_409, plain,
% 164.64/164.93 (greater_equal('==>'(X_988, '==>'(X_989, 1)),
% 164.64/164.93 '==>'(add(X_988, X_989), 1))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_408 :
% 164.64/164.93 [bind(X_734, $fot(X_989)), bind(X_735, $fot(X_988))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_410, plain,
% 164.64/164.93 ('==>'(X_988, '==>'(X_989, 1)) = '==>'(add(X_988, X_989), 1)),
% 164.64/164.93 inference(resolve,
% 164.64/164.93 [$cnf(greater_equal('==>'(X_988, '==>'(X_989, 1)),
% 164.64/164.93 '==>'(add(X_988, X_989), 1)))],
% 164.64/164.93 [refute_0_409, refute_0_376])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_411, plain,
% 164.64/164.93 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.93 '==>'(add(X_2024, add(X_12, X_11)), 1)),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_410 :
% 164.64/164.93 [bind(X_988, $fot(X_2024)),
% 164.64/164.93 bind(X_989, $fot(add(X_12, X_11)))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_412, plain,
% 164.64/164.93 (add(X_2024, add(X_11, X_12)) = add(X_2024, add(X_12, X_11))),
% 164.64/164.93 inference(subst, [], [refute_0_98 : [bind(X_10, $fot(X_2024))]])).
% 164.64/164.93
% 164.64/164.93 cnf(refute_0_413, plain,
% 164.64/164.93 (add(X_2024, add(X_11, X_12)) != add(X_2024, add(X_12, X_11)) |
% 164.64/164.93 add(X_2024, add(X_12, X_11)) = add(X_2024, add(X_11, X_12))),
% 164.64/164.93 inference(subst, [],
% 164.64/164.93 [refute_0_42 :
% 164.64/164.93 [bind(X, $fot(add(X_2024, add(X_11, X_12)))),
% 164.64/164.93 bind(Y, $fot(add(X_2024, add(X_12, X_11))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_414, plain,
% 164.64/164.94 (add(X_2024, add(X_12, X_11)) = add(X_2024, add(X_11, X_12))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal(add(X_2024, add(X_11, X_12)),
% 164.64/164.94 add(X_2024, add(X_12, X_11))))],
% 164.64/164.94 [refute_0_412, refute_0_413])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_415, plain,
% 164.64/164.94 (add(X_2024, add(X_12, X_11)) != add(X_2024, add(X_11, X_12)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_12, X_11)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(add(X_2024, add(X_12, X_11)), 1))), [1, 0],
% 164.64/164.94 $fot(add(X_2024, add(X_11, X_12)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_416, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_12, X_11)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal(add(X_2024, add(X_12, X_11)),
% 164.64/164.94 add(X_2024, add(X_11, X_12))))],
% 164.64/164.94 [refute_0_414, refute_0_415])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_417, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(add(X_2024, add(X_12, X_11)), 1)))],
% 164.64/164.94 [refute_0_411, refute_0_416])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_418, plain,
% 164.64/164.94 ('==>'(X_988, '==>'(X_989, 1)) != '==>'(add(X_988, X_989), 1) |
% 164.64/164.94 '==>'(add(X_988, X_989), 1) = '==>'(X_988, '==>'(X_989, 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_42 :
% 164.64/164.94 [bind(X, $fot('==>'(X_988, '==>'(X_989, 1)))),
% 164.64/164.94 bind(Y, $fot('==>'(add(X_988, X_989), 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_419, plain,
% 164.64/164.94 ('==>'(add(X_988, X_989), 1) = '==>'(X_988, '==>'(X_989, 1))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_988, '==>'(X_989, 1)),
% 164.64/164.94 '==>'(add(X_988, X_989), 1)))],
% 164.64/164.94 [refute_0_410, refute_0_418])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_420, plain,
% 164.64/164.94 ('==>'(add(X_12, X_11), 1) = '==>'(X_12, '==>'(X_11, 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_419 :
% 164.64/164.94 [bind(X_988, $fot(X_12)), bind(X_989, $fot(X_11))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_421, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [refl, [$fot('==>'(X_2024, '==>'(add(X_12, X_11), 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_422, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) |
% 164.64/164.94 '==>'(add(X_12, X_11), 1) != '==>'(X_12, '==>'(X_11, 1)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1)))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)))), [1, 1],
% 164.64/164.94 $fot('==>'(X_12, '==>'(X_11, 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_423, plain,
% 164.64/164.94 ('==>'(add(X_12, X_11), 1) != '==>'(X_12, '==>'(X_11, 1)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1))))],
% 164.64/164.94 [refute_0_421, refute_0_422])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_424, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(X_12, X_11), 1),
% 164.64/164.94 '==>'(X_12, '==>'(X_11, 1))))],
% 164.64/164.94 [refute_0_420, refute_0_423])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_425, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1))), [0],
% 164.64/164.94 $fot('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_426, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1)))))],
% 164.64/164.94 [refute_0_424, refute_0_425])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_427, plain,
% 164.64/164.94 ('==>'(add(X_11, X_12), 1) = '==>'(X_11, '==>'(X_12, 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_419 :
% 164.64/164.94 [bind(X_988, $fot(X_11)), bind(X_989, $fot(X_12))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_428, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, X_12), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [refl, [$fot('==>'(X_2024, '==>'(add(X_11, X_12), 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_429, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, X_12), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1)) |
% 164.64/164.94 '==>'(add(X_11, X_12), 1) != '==>'(X_11, '==>'(X_12, 1)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, X_12), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1)))), [1, 1],
% 164.64/164.94 $fot('==>'(X_11, '==>'(X_12, 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_430, plain,
% 164.64/164.94 ('==>'(add(X_11, X_12), 1) != '==>'(X_11, '==>'(X_12, 1)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, X_12), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1))))],
% 164.64/164.94 [refute_0_428, refute_0_429])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_431, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, X_12), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(X_11, X_12), 1),
% 164.64/164.94 '==>'(X_11, '==>'(X_12, 1))))],
% 164.64/164.94 [refute_0_427, refute_0_430])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_432, plain,
% 164.64/164.94 ('==>'(add(X_2024, add(X_11, X_12)), 1) =
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_419 :
% 164.64/164.94 [bind(X_988, $fot(X_2024)),
% 164.64/164.94 bind(X_989, $fot(add(X_11, X_12)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_433, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, X_12), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))) |
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) !=
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1)) |
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_151 :
% 164.64/164.94 [bind(X, $fot('==>'(add(X_2024, add(X_11, X_12)), 1))),
% 164.64/164.94 bind(Y, $fot('==>'(X_2024, '==>'(add(X_11, X_12), 1)))),
% 164.64/164.94 bind(Z,
% 164.64/164.94 $fot('==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_434, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, X_12), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))) |
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(X_2024, add(X_11, X_12)), 1),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, X_12), 1))))],
% 164.64/164.94 [refute_0_432, refute_0_433])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_435, plain,
% 164.64/164.94 ('==>'(add(X_2024, add(X_11, X_12)), 1) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, X_12), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))))],
% 164.64/164.94 [refute_0_431, refute_0_434])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_436, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) |
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) !=
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf(~ $equal('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))),
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))))), [0],
% 164.64/164.94 $fot('==>'(add(X_2024, add(X_11, X_12)), 1))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_437, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(X_2024, add(X_11, X_12)), 1),
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))))],
% 164.64/164.94 [refute_0_435, refute_0_436])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_438, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_12, X_11), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))),
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)))],
% 164.64/164.94 [refute_0_426, refute_0_437])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_439, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_12, X_11), 1)),
% 164.64/164.94 '==>'(add(X_2024, add(X_11, X_12)), 1)))],
% 164.64/164.94 [refute_0_417, refute_0_438])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_440, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))) !=
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_42 :
% 164.64/164.94 [bind(X, $fot('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))))),
% 164.64/164.94 bind(Y,
% 164.64/164.94 $fot('==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_441, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_11, '==>'(X_12, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_12, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(X_12, '==>'(X_11, 1))),
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(X_12, 1)))))],
% 164.64/164.94 [refute_0_439, refute_0_440])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_442, plain,
% 164.64/164.94 ('==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1))) =
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_441 :
% 164.64/164.94 [bind(X_11,
% 164.64/164.94 $fot('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746))),
% 164.64/164.94 bind(X_12, $fot('==>'(X_2746, '==>'(X_2001, 1)))),
% 164.64/164.94 bind(X_2024, $fot(X_2001))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_443, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(add(X_2024, add(X_11, A)), 1)),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_410 :
% 164.64/164.94 [bind(X_988, $fot(X_2024)),
% 164.64/164.94 bind(X_989, $fot(add(X_11, A)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_444, plain,
% 164.64/164.94 (add(A, add(X_2024, X_11)) = add(X_2024, add(X_11, A))),
% 164.64/164.94 inference(subst, [], [refute_0_390 : [bind(X_10, $fot(X_2024))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_445, plain,
% 164.64/164.94 (add(A, add(X_2024, X_11)) != add(X_2024, add(X_11, A)) |
% 164.64/164.94 add(X_2024, add(X_11, A)) = add(A, add(X_2024, X_11))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_42 :
% 164.64/164.94 [bind(X, $fot(add(A, add(X_2024, X_11)))),
% 164.64/164.94 bind(Y, $fot(add(X_2024, add(X_11, A))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_446, plain,
% 164.64/164.94 (add(X_2024, add(X_11, A)) = add(A, add(X_2024, X_11))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal(add(A, add(X_2024, X_11)),
% 164.64/164.94 add(X_2024, add(X_11, A))))],
% 164.64/164.94 [refute_0_444, refute_0_445])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_447, plain,
% 164.64/164.94 (add(X_2024, add(X_11, A)) != add(A, add(X_2024, X_11)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, A)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(add(X_2024, add(X_11, A)), 1))), [1, 0],
% 164.64/164.94 $fot(add(A, add(X_2024, X_11)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_448, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(add(X_2024, add(X_11, A)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal(add(X_2024, add(X_11, A)),
% 164.64/164.94 add(A, add(X_2024, X_11))))],
% 164.64/164.94 [refute_0_446, refute_0_447])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_449, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(add(X_2024, add(X_11, A)), 1)))],
% 164.64/164.94 [refute_0_443, refute_0_448])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_450, plain,
% 164.64/164.94 ('==>'(add(X_11, A), 1) = '==>'(X_11, '==>'(A, 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_419 :
% 164.64/164.94 [bind(X_988, $fot(X_11)), bind(X_989, $fot(A))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_451, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [refl, [$fot('==>'(X_2024, '==>'(add(X_11, A), 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_452, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) |
% 164.64/164.94 '==>'(add(X_11, A), 1) != '==>'(X_11, '==>'(A, 1)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1)))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)))), [1, 1],
% 164.64/164.94 $fot('==>'(X_11, '==>'(A, 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_453, plain,
% 164.64/164.94 ('==>'(add(X_11, A), 1) != '==>'(X_11, '==>'(A, 1)) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1))))],
% 164.64/164.94 [refute_0_451, refute_0_452])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_454, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(X_11, A), 1),
% 164.64/164.94 '==>'(X_11, '==>'(A, 1))))],
% 164.64/164.94 [refute_0_450, refute_0_453])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_455, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1))) |
% 164.64/164.94 '==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1))) =
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1))), [0],
% 164.64/164.94 $fot('==>'(X_2024, '==>'(X_11, '==>'(A, 1))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_456, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1))) =
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1)))))],
% 164.64/164.94 [refute_0_454, refute_0_455])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_457, plain,
% 164.64/164.94 ('==>'(add(X_2024, X_11), 1) = '==>'(X_2024, '==>'(X_11, 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_419 :
% 164.64/164.94 [bind(X_988, $fot(X_2024)), bind(X_989, $fot(X_11))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_458, plain,
% 164.64/164.94 ('==>'(A, '==>'(add(X_2024, X_11), 1)) =
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [refl, [$fot('==>'(A, '==>'(add(X_2024, X_11), 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_459, plain,
% 164.64/164.94 ('==>'(A, '==>'(add(X_2024, X_11), 1)) !=
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1)) |
% 164.64/164.94 '==>'(add(X_2024, X_11), 1) != '==>'(X_2024, '==>'(X_11, 1)) |
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1)) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf($equal('==>'(A, '==>'(add(X_2024, X_11), 1)),
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1)))), [1, 1],
% 164.64/164.94 $fot('==>'(X_2024, '==>'(X_11, 1)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_460, plain,
% 164.64/164.94 ('==>'(add(X_2024, X_11), 1) != '==>'(X_2024, '==>'(X_11, 1)) |
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1)) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(A, '==>'(add(X_2024, X_11), 1)),
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1))))],
% 164.64/164.94 [refute_0_458, refute_0_459])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_461, plain,
% 164.64/164.94 ('==>'(A, '==>'(add(X_2024, X_11), 1)) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(X_2024, X_11), 1),
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, 1))))],
% 164.64/164.94 [refute_0_457, refute_0_460])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_462, plain,
% 164.64/164.94 ('==>'(add(A, add(X_2024, X_11)), 1) =
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_419 :
% 164.64/164.94 [bind(X_988, $fot(A)),
% 164.64/164.94 bind(X_989, $fot(add(X_2024, X_11)))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_463, plain,
% 164.64/164.94 ('==>'(A, '==>'(add(X_2024, X_11), 1)) !=
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1))) |
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) !=
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1)) |
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_151 :
% 164.64/164.94 [bind(X, $fot('==>'(add(A, add(X_2024, X_11)), 1))),
% 164.64/164.94 bind(Y, $fot('==>'(A, '==>'(add(X_2024, X_11), 1)))),
% 164.64/164.94 bind(Z, $fot('==>'(A, '==>'(X_2024, '==>'(X_11, 1)))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_464, plain,
% 164.64/164.94 ('==>'(A, '==>'(add(X_2024, X_11), 1)) !=
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1))) |
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(A, add(X_2024, X_11)), 1),
% 164.64/164.94 '==>'(A, '==>'(add(X_2024, X_11), 1))))],
% 164.64/164.94 [refute_0_462, refute_0_463])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_465, plain,
% 164.64/164.94 ('==>'(add(A, add(X_2024, X_11)), 1) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(A, '==>'(add(X_2024, X_11), 1)),
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))))],
% 164.64/164.94 [refute_0_461, refute_0_464])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_466, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_11, '==>'(A, 1))) !=
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) |
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) !=
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1))) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1))) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 introduced(tautology,
% 164.64/164.94 [equality,
% 164.64/164.94 [$cnf(~ $equal('==>'(X_2024, '==>'(X_11, '==>'(A, 1))),
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1))))), [0],
% 164.64/164.94 $fot('==>'(add(A, add(X_2024, X_11)), 1))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_467, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_11, '==>'(A, 1))) !=
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1))) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(add(A, add(X_2024, X_11)), 1),
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))))],
% 164.64/164.94 [refute_0_465, refute_0_466])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_468, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(add(X_11, A), 1)) !=
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1) |
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1))) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(X_11, '==>'(A, 1))),
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)))],
% 164.64/164.94 [refute_0_456, refute_0_467])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_469, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_11, '==>'(A, 1))) =
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(add(X_11, A), 1)),
% 164.64/164.94 '==>'(add(A, add(X_2024, X_11)), 1)))],
% 164.64/164.94 [refute_0_449, refute_0_468])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_470, plain,
% 164.64/164.94 ('==>'(X_2024, '==>'(X_11, '==>'(A, 1))) !=
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1))) |
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_42 :
% 164.64/164.94 [bind(X, $fot('==>'(X_2024, '==>'(X_11, '==>'(A, 1))))),
% 164.64/164.94 bind(Y, $fot('==>'(A, '==>'(X_2024, '==>'(X_11, 1)))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_471, plain,
% 164.64/164.94 ('==>'(A, '==>'(X_2024, '==>'(X_11, 1))) =
% 164.64/164.94 '==>'(X_2024, '==>'(X_11, '==>'(A, 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2024, '==>'(X_11, '==>'(A, 1))),
% 164.64/164.94 '==>'(A, '==>'(X_2024, '==>'(X_11, 1)))))],
% 164.64/164.94 [refute_0_469, refute_0_470])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_472, plain,
% 164.64/164.94 ('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) =
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_471 :
% 164.64/164.94 [bind(A, $fot('==>'(X_2746, '==>'(X_2001, 1)))),
% 164.64/164.94 bind(X_11,
% 164.64/164.94 $fot('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746))),
% 164.64/164.94 bind(X_2024, $fot(X_2001))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_473, plain,
% 164.64/164.94 ('==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1))) !=
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) |
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) !=
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1))) |
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) =
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.94 inference(subst, [],
% 164.64/164.94 [refute_0_151 :
% 164.64/164.94 [bind(X,
% 164.64/164.94 $fot('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746), 1))))),
% 164.64/164.94 bind(Y,
% 164.64/164.94 $fot('==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 1))))),
% 164.64/164.94 bind(Z,
% 164.64/164.94 $fot('==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746), 1)))))]])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_474, plain,
% 164.64/164.94 ('==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1))) !=
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) |
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) =
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746), 1))),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1)))))],
% 164.64/164.94 [refute_0_472, refute_0_473])).
% 164.64/164.94
% 164.64/164.94 cnf(refute_0_475, plain,
% 164.64/164.94 ('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) =
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.94 inference(resolve,
% 164.64/164.94 [$cnf($equal('==>'(X_2001,
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746),
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)), 1))),
% 164.64/164.94 '==>'(X_2001,
% 164.64/164.94 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.94 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.94 X_2746), 1)))))],
% 164.64/164.94 [refute_0_442, refute_0_474])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_476, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) =
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_471 :
% 164.64/164.95 [bind(A,
% 164.64/164.95 $fot('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746))),
% 164.64/164.95 bind(X_11, $fot(X_2001)),
% 164.64/164.95 bind(X_2024, $fot('==>'(X_2746, '==>'(X_2001, 1))))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_477, plain,
% 164.64/164.95 ('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) !=
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) !=
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) =
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_151 :
% 164.64/164.95 [bind(X,
% 164.64/164.95 $fot('==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001, 1))))),
% 164.64/164.95 bind(Y,
% 164.64/164.95 $fot('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1))))),
% 164.64/164.95 bind(Z,
% 164.64/164.95 $fot('==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1)))))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_478, plain,
% 164.64/164.95 ('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) !=
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) =
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001, 1))),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1)))))],
% 164.64/164.95 [refute_0_476, refute_0_477])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_479, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) =
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1))),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1)))))],
% 164.64/164.95 [refute_0_475, refute_0_478])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_480, plain,
% 164.64/164.95 (0 !=
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) !=
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1))) |
% 164.64/164.95 0 =
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf(~ $equal(0,
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1))))), [0],
% 164.64/164.95 $fot('==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001, 1))))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_481, plain,
% 164.64/164.95 (0 !=
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)), '==>'(X_2001, 1))) |
% 164.64/164.95 0 =
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001, 1))),
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001),
% 164.64/164.95 X_2746), 1)))))],
% 164.64/164.95 [refute_0_479, refute_0_480])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_482, plain,
% 164.64/164.95 (0 =
% 164.64/164.95 '==>'(X_2001,
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746), 1)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal(0,
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_2746, 1), X_2001), X_2746),
% 164.64/164.95 '==>'('==>'(X_2746, '==>'(X_2001, 1)),
% 164.64/164.95 '==>'(X_2001, 1)))))],
% 164.64/164.95 [refute_0_319, refute_0_481])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_483, plain,
% 164.64/164.95 (0 =
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), 1),
% 164.64/164.95 X_2812), '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_482 :
% 164.64/164.95 [bind(X_2001, $fot(X_2812)),
% 164.64/164.95 bind(X_2746,
% 164.64/164.95 $fot('==>'('==>'('==>'(1, 1), X_1048), 1)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_484, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'('==>'(B, '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 '==>'('==>'(B, 1), X_1048))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_1 : [bind(A, $fot('==>'('==>'(B, 1), X_1048)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_485, plain,
% 164.64/164.95 (~ greater_equal(0, '==>'(X_1045, '==>'('==>'(X_1045, 1), X_1046))) |
% 164.64/164.95 '==>'(X_1045, '==>'('==>'(X_1045, 1), X_1046)) = 0),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_7 :
% 164.64/164.95 [bind(X_308,
% 164.64/164.95 $fot('==>'(X_1045,
% 164.64/164.95 '==>'('==>'(X_1045, 1), X_1046))))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_486, plain, (greater_equal(1, X_243)),
% 164.64/164.95 inference(subst, [], [refute_0_223 : [bind(X_27, $fot(X_243))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_487, plain,
% 164.64/164.95 (~ greater_equal(1, X_243) |
% 164.64/164.95 greater_equal('==>'(X_244, 1), '==>'(X_244, X_243))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_339 :
% 164.64/164.95 [bind(X14, $fot(1)), bind(X15, $fot(X_243)),
% 164.64/164.95 bind(X16, $fot(X_244))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_488, plain,
% 164.64/164.95 (greater_equal('==>'(X_244, 1), '==>'(X_244, X_243))),
% 164.64/164.95 inference(resolve, [$cnf(greater_equal(1, X_243))],
% 164.64/164.95 [refute_0_486, refute_0_487])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_489, plain,
% 164.64/164.95 (~ greater_equal('==>'(X_244, 1), '==>'(X_244, X_243)) |
% 164.64/164.95 greater_equal(0, '==>'('==>'(X_244, 1), '==>'(X_244, X_243)))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_24 :
% 164.64/164.95 [bind(X_106, $fot('==>'(X_244, 1))),
% 164.64/164.95 bind(X_108, $fot('==>'(X_244, X_243)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_490, plain,
% 164.64/164.95 (greater_equal(0, '==>'('==>'(X_244, 1), '==>'(X_244, X_243)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf(greater_equal('==>'(X_244, 1), '==>'(X_244, X_243)))],
% 164.64/164.95 [refute_0_488, refute_0_489])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_491, plain,
% 164.64/164.95 (greater_equal(0,
% 164.64/164.95 '==>'('==>'('==>'(A, 1), 1), '==>'('==>'(A, 1), X_1043)))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_490 :
% 164.64/164.95 [bind(X_243, $fot(X_1043)),
% 164.64/164.95 bind(X_244, $fot('==>'(A, 1)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_492, plain,
% 164.64/164.95 ('==>'('==>'(A, 1), 1) != A |
% 164.64/164.95 ~
% 164.64/164.95 greater_equal(0,
% 164.64/164.95 '==>'('==>'('==>'(A, 1), 1), '==>'('==>'(A, 1), X_1043))) |
% 164.64/164.95 greater_equal(0, '==>'(A, '==>'('==>'(A, 1), X_1043)))),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf(greater_equal(0,
% 164.64/164.95 '==>'('==>'('==>'(A, 1), 1),
% 164.64/164.95 '==>'('==>'(A, 1), X_1043)))), [1, 0],
% 164.64/164.95 $fot(A)]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_493, plain,
% 164.64/164.95 (~
% 164.64/164.95 greater_equal(0,
% 164.64/164.95 '==>'('==>'('==>'(A, 1), 1), '==>'('==>'(A, 1), X_1043))) |
% 164.64/164.95 greater_equal(0, '==>'(A, '==>'('==>'(A, 1), X_1043)))),
% 164.64/164.95 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 164.64/164.95 [refute_0_275, refute_0_492])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_494, plain,
% 164.64/164.95 (greater_equal(0, '==>'(A, '==>'('==>'(A, 1), X_1043)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf(greater_equal(0,
% 164.64/164.95 '==>'('==>'('==>'(A, 1), 1),
% 164.64/164.95 '==>'('==>'(A, 1), X_1043))))],
% 164.64/164.95 [refute_0_491, refute_0_493])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_495, plain,
% 164.64/164.95 (greater_equal(0, '==>'(X_1045, '==>'('==>'(X_1045, 1), X_1046)))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_494 :
% 164.64/164.95 [bind(A, $fot(X_1045)), bind(X_1043, $fot(X_1046))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_496, plain,
% 164.64/164.95 ('==>'(X_1045, '==>'('==>'(X_1045, 1), X_1046)) = 0),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf(greater_equal(0,
% 164.64/164.95 '==>'(X_1045, '==>'('==>'(X_1045, 1), X_1046))))],
% 164.64/164.95 [refute_0_495, refute_0_485])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_497, plain, ('==>'(B, '==>'('==>'(B, 1), X_1048)) = 0),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_496 :
% 164.64/164.95 [bind(X_1045, $fot(B)), bind(X_1046, $fot(X_1048))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_498, plain,
% 164.64/164.95 ('==>'(B, '==>'('==>'(B, 1), X_1048)) != 0 |
% 164.64/164.95 '==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) !=
% 164.64/164.95 '==>'('==>'(B, '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'(0, '==>'('==>'(B, 1), X_1048))),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(B, 1), X_1048), B),
% 164.64/164.95 B),
% 164.64/164.95 '==>'('==>'(B, '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)))), [1, 0],
% 164.64/164.95 $fot(0)]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_499, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) !=
% 164.64/164.95 '==>'('==>'(B, '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'(0, '==>'('==>'(B, 1), X_1048))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'(B, '==>'('==>'(B, 1), X_1048)), 0))],
% 164.64/164.95 [refute_0_497, refute_0_498])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_500, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'(0, '==>'('==>'(B, 1), X_1048))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B),
% 164.64/164.95 '==>'('==>'(B, '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 '==>'('==>'(B, 1), X_1048))))],
% 164.64/164.95 [refute_0_484, refute_0_499])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_501, plain,
% 164.64/164.95 ('==>'(0, '==>'('==>'(B, 1), X_1048)) = '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_138 :
% 164.64/164.95 [bind(X_309, $fot('==>'('==>'(B, 1), X_1048)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_502, plain,
% 164.64/164.95 ('==>'(0, '==>'('==>'(B, 1), X_1048)) != '==>'('==>'(B, 1), X_1048) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) !=
% 164.64/164.95 '==>'(0, '==>'('==>'(B, 1), X_1048)) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(B, 1), X_1048), B),
% 164.64/164.95 B), '==>'(0, '==>'('==>'(B, 1), X_1048)))), [1],
% 164.64/164.95 $fot('==>'('==>'(B, 1), X_1048))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_503, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) !=
% 164.64/164.95 '==>'(0, '==>'('==>'(B, 1), X_1048)) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'(0, '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)))],
% 164.64/164.95 [refute_0_501, refute_0_502])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_504, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B) =
% 164.64/164.95 '==>'('==>'(B, 1), X_1048)),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(B, 1), X_1048), B), B),
% 164.64/164.95 '==>'(0, '==>'('==>'(B, 1), X_1048))))],
% 164.64/164.95 [refute_0_500, refute_0_503])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_505, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), 1) =
% 164.64/164.95 '==>'('==>'(1, 1), X_1048)),
% 164.64/164.95 inference(subst, [], [refute_0_504 : [bind(B, $fot(1))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_506, plain,
% 164.64/164.95 (0 !=
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), 1),
% 164.64/164.95 X_2812), '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(1, 1), X_1048), 1), 1) !=
% 164.64/164.95 '==>'('==>'(1, 1), X_1048) |
% 164.64/164.95 0 =
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.95 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal(0,
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.95 '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'('==>'('==>'(1,
% 164.64/164.95 1), X_1048), 1), 1), X_2812),
% 164.64/164.95 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.95 1))))), [1, 1, 1, 0, 0, 0],
% 164.64/164.95 $fot('==>'('==>'(1, 1), X_1048))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_507, plain,
% 164.64/164.95 (0 !=
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), 1),
% 164.64/164.95 X_2812), '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) |
% 164.64/164.95 0 =
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.95 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), 1),
% 164.64/164.95 '==>'('==>'(1, 1), X_1048)))],
% 164.64/164.95 [refute_0_505, refute_0_506])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_508, plain,
% 164.64/164.95 (0 =
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.95 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal(0,
% 164.64/164.95 '==>'(X_2812,
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.95 '==>'(X_2812, 1)),
% 164.64/164.95 '==>'('==>'('==>'('==>'('==>'('==>'('==>'(1, 1),
% 164.64/164.95 X_1048), 1), 1), X_2812),
% 164.64/164.95 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.95 1)))))], [refute_0_483, refute_0_507])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_509, plain,
% 164.64/164.95 ('==>'(0, add(X_1048, '==>'(X_1048, X_2812))) =
% 164.64/164.95 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_138 :
% 164.64/164.95 [bind(X_309, $fot(add(X_1048, '==>'(X_1048, X_2812))))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_510, plain, ('==>'(0, X_1048) = X_1048),
% 164.64/164.95 inference(subst, [], [refute_0_138 : [bind(X_309, $fot(X_1048))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_511, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)) =
% 164.64/164.95 '==>'('==>'('==>'('==>'(1, X_335), X_8), X_8), '==>'(1, X_335))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_37 : [bind(A, $fot('==>'(1, X_335)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_512, plain, (X_8 = '==>'('==>'(1, X_335), X_8)),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_269 :
% 164.64/164.95 [bind(X_333, $fot(X_335)), bind(X_334, $fot(X_8))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_513, plain,
% 164.64/164.95 (X_8 != '==>'('==>'(1, X_335), X_8) |
% 164.64/164.95 '==>'('==>'(1, X_335), X_8) = X_8),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_42 :
% 164.64/164.95 [bind(X, $fot(X_8)),
% 164.64/164.95 bind(Y, $fot('==>'('==>'(1, X_335), X_8)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_514, plain, ('==>'('==>'(1, X_335), X_8) = X_8),
% 164.64/164.95 inference(resolve, [$cnf($equal(X_8, '==>'('==>'(1, X_335), X_8)))],
% 164.64/164.95 [refute_0_512, refute_0_513])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_515, plain,
% 164.64/164.95 ('==>'('==>'(1, X_335), X_8) != X_8 |
% 164.64/164.95 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)) !=
% 164.64/164.95 '==>'('==>'('==>'('==>'(1, X_335), X_8), X_8), '==>'(1, X_335)) |
% 164.64/164.95 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)) = '==>'('==>'(X_8, X_8), '==>'(1, X_335))),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(1, X_335), X_8), X_8),
% 164.64/164.95 '==>'(1, X_335)))), [1, 0, 0], $fot(X_8)]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_516, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)) !=
% 164.64/164.95 '==>'('==>'('==>'('==>'(1, X_335), X_8), X_8), '==>'(1, X_335)) |
% 164.64/164.95 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)) = '==>'('==>'(X_8, X_8), '==>'(1, X_335))),
% 164.64/164.95 inference(resolve, [$cnf($equal('==>'('==>'(1, X_335), X_8), X_8))],
% 164.64/164.95 [refute_0_514, refute_0_515])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_517, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)) = '==>'('==>'(X_8, X_8), '==>'(1, X_335))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.95 '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.95 '==>'('==>'('==>'('==>'(1, X_335), X_8), X_8),
% 164.64/164.95 '==>'(1, X_335))))],
% 164.64/164.95 [refute_0_511, refute_0_516])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_518, plain, ('==>'(0, '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_138 : [bind(X_309, $fot('==>'(1, X_335)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_519, plain, ('==>'('==>'(A, 0), 0) = '==>'('==>'(0, A), A)),
% 164.64/164.95 inference(subst, [], [refute_0_1 : [bind(B, $fot(0))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_520, plain, ('==>'(0, A) = A),
% 164.64/164.95 inference(subst, [], [refute_0_138 : [bind(X_309, $fot(A))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_521, plain,
% 164.64/164.95 ('==>'(0, A) != A | '==>'('==>'(A, 0), 0) != '==>'('==>'(0, A), A) |
% 164.64/164.95 '==>'('==>'(A, 0), 0) = '==>'(A, A)),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal('==>'('==>'(A, 0), 0),
% 164.64/164.95 '==>'('==>'(0, A), A))), [1, 0], $fot(A)]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_522, plain,
% 164.64/164.95 ('==>'('==>'(A, 0), 0) != '==>'('==>'(0, A), A) |
% 164.64/164.95 '==>'('==>'(A, 0), 0) = '==>'(A, A)),
% 164.64/164.95 inference(resolve, [$cnf($equal('==>'(0, A), A))],
% 164.64/164.95 [refute_0_520, refute_0_521])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_523, plain, ('==>'('==>'(A, 0), 0) = '==>'(A, A)),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'(A, 0), 0), '==>'('==>'(0, A), A)))],
% 164.64/164.95 [refute_0_519, refute_0_522])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_524, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_322, X_322), 0), 0) =
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_523 : [bind(A, $fot('==>'(X_322, X_322)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_525, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_8, 0), 0), 0) =
% 164.64/164.95 '==>'('==>'('==>'(0, X_8), X_8), 0)),
% 164.64/164.95 inference(subst, [], [refute_0_37 : [bind(A, $fot(0))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_526, plain, ('==>'(0, X_8) = X_8),
% 164.64/164.95 inference(subst, [], [refute_0_138 : [bind(X_309, $fot(X_8))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_527, plain,
% 164.64/164.95 ('==>'(0, X_8) != X_8 |
% 164.64/164.95 '==>'('==>'('==>'(X_8, 0), 0), 0) !=
% 164.64/164.95 '==>'('==>'('==>'(0, X_8), X_8), 0) |
% 164.64/164.95 '==>'('==>'('==>'(X_8, 0), 0), 0) = '==>'('==>'(X_8, X_8), 0)),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_8, 0), 0), 0),
% 164.64/164.95 '==>'('==>'('==>'(0, X_8), X_8), 0))), [1, 0, 0],
% 164.64/164.95 $fot(X_8)]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_528, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_8, 0), 0), 0) !=
% 164.64/164.95 '==>'('==>'('==>'(0, X_8), X_8), 0) |
% 164.64/164.95 '==>'('==>'('==>'(X_8, 0), 0), 0) = '==>'('==>'(X_8, X_8), 0)),
% 164.64/164.95 inference(resolve, [$cnf($equal('==>'(0, X_8), X_8))],
% 164.64/164.95 [refute_0_526, refute_0_527])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_529, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_8, 0), 0), 0) = '==>'('==>'(X_8, X_8), 0)),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_8, 0), 0), 0),
% 164.64/164.95 '==>'('==>'('==>'(0, X_8), X_8), 0)))],
% 164.64/164.95 [refute_0_525, refute_0_528])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_530, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_322, 0), 0), 0) = '==>'('==>'(X_322, X_322), 0)),
% 164.64/164.95 inference(subst, [], [refute_0_529 : [bind(X_8, $fot(X_322))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_531, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_322, 0), 0), 0) != '==>'('==>'(X_322, X_322), 0) |
% 164.64/164.95 '==>'('==>'(X_322, X_322), 0) = '==>'('==>'('==>'(X_322, 0), 0), 0)),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_42 :
% 164.64/164.95 [bind(X, $fot('==>'('==>'('==>'(X_322, 0), 0), 0))),
% 164.64/164.95 bind(Y, $fot('==>'('==>'(X_322, X_322), 0)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_532, plain,
% 164.64/164.95 ('==>'('==>'(X_322, X_322), 0) = '==>'('==>'('==>'(X_322, 0), 0), 0)),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_322, 0), 0), 0),
% 164.64/164.95 '==>'('==>'(X_322, X_322), 0)))],
% 164.64/164.95 [refute_0_530, refute_0_531])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_533, plain,
% 164.64/164.95 ('==>'('==>'(X_322, X_322), 0) != '==>'('==>'('==>'(X_322, 0), 0), 0) |
% 164.64/164.95 '==>'('==>'('==>'(X_322, X_322), 0), 0) !=
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) =
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_322, X_322), 0), 0),
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)))),
% 164.64/164.95 [0, 0], $fot('==>'('==>'('==>'(X_322, 0), 0), 0))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_534, plain,
% 164.64/164.95 ('==>'('==>'('==>'(X_322, X_322), 0), 0) !=
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.95 '==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) =
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'(X_322, X_322), 0),
% 164.64/164.95 '==>'('==>'('==>'(X_322, 0), 0), 0)))],
% 164.64/164.95 [refute_0_532, refute_0_533])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_535, plain,
% 164.64/164.95 ('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) =
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))),
% 164.64/164.95 inference(resolve,
% 164.64/164.95 [$cnf($equal('==>'('==>'('==>'(X_322, X_322), 0), 0),
% 164.64/164.95 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))))],
% 164.64/164.95 [refute_0_524, refute_0_534])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_536, plain,
% 164.64/164.95 (~ greater_equal(X_331, '==>'('==>'(X_330, X_330), X_331)) |
% 164.64/164.95 ~ greater_equal('==>'('==>'(X_330, X_330), X_331), X_331) |
% 164.64/164.95 X_331 = '==>'('==>'(X_330, X_330), X_331)),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_5 :
% 164.64/164.95 [bind(X3, $fot(X_331)),
% 164.64/164.95 bind(X4, $fot('==>'('==>'(X_330, X_330), X_331)))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_537, plain, (greater_equal(add(X_108, X_107), X_108)),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_337 :
% 164.64/164.95 [bind(X_27, $fot(X_108)), bind(X_28, $fot(X_107))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_538, plain,
% 164.64/164.95 (~ greater_equal(add(X_108, X_107), X_108) |
% 164.64/164.95 greater_equal(X_107, '==>'(X_108, X_108))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_18 :
% 164.64/164.95 [bind(X5, $fot(X_108)), bind(X6, $fot(X_107)),
% 164.64/164.95 bind(X7, $fot(X_108))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_539, plain, (greater_equal(X_107, '==>'(X_108, X_108))),
% 164.64/164.95 inference(resolve, [$cnf(greater_equal(add(X_108, X_107), X_108))],
% 164.64/164.95 [refute_0_537, refute_0_538])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_540, plain, (greater_equal(X_218, '==>'(X_108, X_108))),
% 164.64/164.95 inference(subst, [], [refute_0_539 : [bind(X_107, $fot(X_218))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_541, plain,
% 164.64/164.95 (~ greater_equal(X_218, '==>'(X_108, X_108)) |
% 164.64/164.95 greater_equal('==>'('==>'(X_108, X_108), X_220),
% 164.64/164.95 '==>'(X_218, X_220))),
% 164.64/164.95 inference(subst, [],
% 164.64/164.95 [refute_0_258 :
% 164.64/164.95 [bind(X11, $fot(X_218)),
% 164.64/164.95 bind(X12, $fot('==>'(X_108, X_108))),
% 164.64/164.95 bind(X13, $fot(X_220))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_542, plain,
% 164.64/164.95 (greater_equal('==>'('==>'(X_108, X_108), X_220),
% 164.64/164.95 '==>'(X_218, X_220))),
% 164.64/164.95 inference(resolve, [$cnf(greater_equal(X_218, '==>'(X_108, X_108)))],
% 164.64/164.95 [refute_0_540, refute_0_541])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_543, plain,
% 164.64/164.95 (greater_equal('==>'('==>'(X_108, X_108), X_220), '==>'(0, X_220))),
% 164.64/164.95 inference(subst, [], [refute_0_542 : [bind(X_218, $fot(0))]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_544, plain,
% 164.64/164.95 ('==>'(0, X_220) != X_220 |
% 164.64/164.95 ~ greater_equal('==>'('==>'(X_108, X_108), X_220), '==>'(0, X_220)) |
% 164.64/164.95 greater_equal('==>'('==>'(X_108, X_108), X_220), X_220)),
% 164.64/164.95 introduced(tautology,
% 164.64/164.95 [equality,
% 164.64/164.95 [$cnf(greater_equal('==>'('==>'(X_108, X_108), X_220),
% 164.64/164.95 '==>'(0, X_220))), [1], $fot(X_220)]])).
% 164.64/164.95
% 164.64/164.95 cnf(refute_0_545, plain,
% 164.64/164.95 (~ greater_equal('==>'('==>'(X_108, X_108), X_220), '==>'(0, X_220)) |
% 164.64/164.95 greater_equal('==>'('==>'(X_108, X_108), X_220), X_220)),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'(0, X_220), X_220))],
% 164.64/164.96 [refute_0_262, refute_0_544])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_546, plain,
% 164.64/164.96 (greater_equal('==>'('==>'(X_108, X_108), X_220), X_220)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf(greater_equal('==>'('==>'(X_108, X_108), X_220),
% 164.64/164.96 '==>'(0, X_220)))], [refute_0_543, refute_0_545])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_547, plain,
% 164.64/164.96 (greater_equal('==>'('==>'(X_330, X_330), X_331), X_331)),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_546 :
% 164.64/164.96 [bind(X_108, $fot(X_330)), bind(X_220, $fot(X_331))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_548, plain,
% 164.64/164.96 (~ greater_equal(X_331, '==>'('==>'(X_330, X_330), X_331)) |
% 164.64/164.96 X_331 = '==>'('==>'(X_330, X_330), X_331)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf(greater_equal('==>'('==>'(X_330, X_330), X_331),
% 164.64/164.96 X_331))], [refute_0_547, refute_0_536])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_549, plain,
% 164.64/164.96 (greater_equal(X_331, '==>'('==>'(X_330, X_330), X_331))),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_67 :
% 164.64/164.96 [bind(X_106, $fot('==>'(X_330, X_330))),
% 164.64/164.96 bind(X_108, $fot(X_331))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_550, plain, (X_331 = '==>'('==>'(X_330, X_330), X_331)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf(greater_equal(X_331,
% 164.64/164.96 '==>'('==>'(X_330, X_330), X_331)))],
% 164.64/164.96 [refute_0_549, refute_0_548])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_551, plain,
% 164.64/164.96 (X_331 != '==>'('==>'(X_330, X_330), X_331) |
% 164.64/164.96 '==>'('==>'(X_330, X_330), X_331) = X_331),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_42 :
% 164.64/164.96 [bind(X, $fot(X_331)),
% 164.64/164.96 bind(Y, $fot('==>'('==>'(X_330, X_330), X_331)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_552, plain, ('==>'('==>'(X_330, X_330), X_331) = X_331),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(X_331, '==>'('==>'(X_330, X_330), X_331)))],
% 164.64/164.96 [refute_0_550, refute_0_551])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_553, plain, ('==>'('==>'(X_8, X_8), 0) = 0),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_552 :
% 164.64/164.96 [bind(X_330, $fot(X_8)), bind(X_331, $fot(0))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_554, plain,
% 164.64/164.96 ('==>'('==>'(X_8, X_8), 0) != 0 |
% 164.64/164.96 '==>'('==>'('==>'(X_8, 0), 0), 0) != '==>'('==>'(X_8, X_8), 0) |
% 164.64/164.96 '==>'('==>'('==>'(X_8, 0), 0), 0) = 0),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, 0), 0), 0),
% 164.64/164.96 '==>'('==>'(X_8, X_8), 0))), [1], $fot(0)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_555, plain,
% 164.64/164.96 ('==>'('==>'('==>'(X_8, 0), 0), 0) != '==>'('==>'(X_8, X_8), 0) |
% 164.64/164.96 '==>'('==>'('==>'(X_8, 0), 0), 0) = 0),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'('==>'(X_8, X_8), 0), 0))],
% 164.64/164.96 [refute_0_553, refute_0_554])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_556, plain, ('==>'('==>'('==>'(X_8, 0), 0), 0) = 0),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, 0), 0), 0),
% 164.64/164.96 '==>'('==>'(X_8, X_8), 0)))],
% 164.64/164.96 [refute_0_529, refute_0_555])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_557, plain,
% 164.64/164.96 ('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) = 0),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_556 : [bind(X_8, $fot('==>'(X_322, 0)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_558, plain,
% 164.64/164.96 ('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) != 0 |
% 164.64/164.96 '==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) !=
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.96 0 = '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0),
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)))),
% 164.64/164.96 [0], $fot(0)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_559, plain,
% 164.64/164.96 ('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) !=
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.96 0 = '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0),
% 164.64/164.96 0))], [refute_0_557, refute_0_558])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_560, plain,
% 164.64/164.96 ('==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) =
% 164.64/164.96 '==>'(X_322, X_322)),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_552 :
% 164.64/164.96 [bind(X_330, $fot(X_322)),
% 164.64/164.96 bind(X_331, $fot('==>'(X_322, X_322)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_561, plain,
% 164.64/164.96 (0 != '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) !=
% 164.64/164.96 '==>'(X_322, X_322) | 0 = '==>'(X_322, X_322)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf(~ $equal(0, '==>'(X_322, X_322))), [0],
% 164.64/164.96 $fot('==>'('==>'(X_322, X_322), '==>'(X_322, X_322)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_562, plain,
% 164.64/164.96 (0 != '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.96 0 = '==>'(X_322, X_322)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(X_322, X_322), '==>'(X_322, X_322)),
% 164.64/164.96 '==>'(X_322, X_322)))],
% 164.64/164.96 [refute_0_560, refute_0_561])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_563, plain,
% 164.64/164.96 ('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0) !=
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322)) |
% 164.64/164.96 0 = '==>'(X_322, X_322)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(0,
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))))],
% 164.64/164.96 [refute_0_559, refute_0_562])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_564, plain, (0 = '==>'(X_322, X_322)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'('==>'(X_322, 0), 0), 0), 0),
% 164.64/164.96 '==>'('==>'(X_322, X_322), '==>'(X_322, X_322))))],
% 164.64/164.96 [refute_0_535, refute_0_563])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_565, plain,
% 164.64/164.96 (0 != '==>'(X_322, X_322) | '==>'(X_322, X_322) = 0),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_42 :
% 164.64/164.96 [bind(X, $fot(0)), bind(Y, $fot('==>'(X_322, X_322)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_566, plain, ('==>'(X_322, X_322) = 0),
% 164.64/164.96 inference(resolve, [$cnf($equal(0, '==>'(X_322, X_322)))],
% 164.64/164.96 [refute_0_564, refute_0_565])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_567, plain, ('==>'(X_8, X_8) = 0),
% 164.64/164.96 inference(subst, [], [refute_0_566 : [bind(X_322, $fot(X_8))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_568, plain,
% 164.64/164.96 ('==>'('==>'(X_8, X_8), '==>'(1, X_335)) =
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [refl, [$fot('==>'('==>'(X_8, X_8), '==>'(1, X_335)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_569, plain,
% 164.64/164.96 ('==>'(X_8, X_8) != 0 |
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) !=
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) |
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) = '==>'(0, '==>'(1, X_335))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'(X_8, X_8), '==>'(1, X_335)),
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)))), [1, 0],
% 164.64/164.96 $fot(0)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_570, plain,
% 164.64/164.96 ('==>'(X_8, X_8) != 0 |
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) = '==>'(0, '==>'(1, X_335))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(X_8, X_8), '==>'(1, X_335)),
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335))))],
% 164.64/164.96 [refute_0_568, refute_0_569])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_571, plain,
% 164.64/164.96 ('==>'('==>'(X_8, X_8), '==>'(1, X_335)) = '==>'(0, '==>'(1, X_335))),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'(X_8, X_8), 0))],
% 164.64/164.96 [refute_0_567, refute_0_570])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_572, plain,
% 164.64/164.96 ('==>'(0, '==>'(1, X_335)) != '==>'(1, X_335) |
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) != '==>'(0, '==>'(1, X_335)) |
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_151 :
% 164.64/164.96 [bind(X, $fot('==>'('==>'(X_8, X_8), '==>'(1, X_335)))),
% 164.64/164.96 bind(Y, $fot('==>'(0, '==>'(1, X_335)))),
% 164.64/164.96 bind(Z, $fot('==>'(1, X_335)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_573, plain,
% 164.64/164.96 ('==>'(0, '==>'(1, X_335)) != '==>'(1, X_335) |
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(X_8, X_8), '==>'(1, X_335)),
% 164.64/164.96 '==>'(0, '==>'(1, X_335))))],
% 164.64/164.96 [refute_0_571, refute_0_572])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_574, plain,
% 164.64/164.96 ('==>'('==>'(X_8, X_8), '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'(0, '==>'(1, X_335)), '==>'(1, X_335)))],
% 164.64/164.96 [refute_0_518, refute_0_573])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_575, plain,
% 164.64/164.96 ('==>'('==>'(X_8, X_8), '==>'(1, X_335)) != '==>'(1, X_335) |
% 164.64/164.96 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) != '==>'('==>'(X_8, X_8), '==>'(1, X_335)) |
% 164.64/164.96 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335)))), [1],
% 164.64/164.96 $fot('==>'(1, X_335))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_576, plain,
% 164.64/164.96 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) != '==>'('==>'(X_8, X_8), '==>'(1, X_335)) |
% 164.64/164.96 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(X_8, X_8), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)))], [refute_0_574, refute_0_575])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_577, plain,
% 164.64/164.96 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) = '==>'(1, X_335)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'('==>'(X_8, X_8), '==>'(1, X_335))))],
% 164.64/164.96 [refute_0_517, refute_0_576])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_578, plain,
% 164.64/164.96 ('==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) =
% 164.64/164.96 '==>'('==>'('==>'(1, X_335), A), A)),
% 164.64/164.96 inference(subst, [], [refute_0_1 : [bind(B, $fot('==>'(1, X_335)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_579, plain, (A = '==>'('==>'(1, X_335), A)),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_269 :
% 164.64/164.96 [bind(X_333, $fot(X_335)), bind(X_334, $fot(A))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_580, plain,
% 164.64/164.96 (A != '==>'('==>'(1, X_335), A) | '==>'('==>'(1, X_335), A) = A),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_42 :
% 164.64/164.96 [bind(X, $fot(A)),
% 164.64/164.96 bind(Y, $fot('==>'('==>'(1, X_335), A)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_581, plain, ('==>'('==>'(1, X_335), A) = A),
% 164.64/164.96 inference(resolve, [$cnf($equal(A, '==>'('==>'(1, X_335), A)))],
% 164.64/164.96 [refute_0_579, refute_0_580])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_582, plain,
% 164.64/164.96 ('==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) !=
% 164.64/164.96 '==>'('==>'('==>'(1, X_335), A), A) | '==>'('==>'(1, X_335), A) != A |
% 164.64/164.96 '==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) = '==>'(A, A)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'(A, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)),
% 164.64/164.96 '==>'('==>'('==>'(1, X_335), A), A))), [1, 0],
% 164.64/164.96 $fot(A)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_583, plain,
% 164.64/164.96 ('==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) !=
% 164.64/164.96 '==>'('==>'('==>'(1, X_335), A), A) |
% 164.64/164.96 '==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) = '==>'(A, A)),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'('==>'(1, X_335), A), A))],
% 164.64/164.96 [refute_0_581, refute_0_582])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_584, plain,
% 164.64/164.96 ('==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) = '==>'(A, A)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(A, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)),
% 164.64/164.96 '==>'('==>'('==>'(1, X_335), A), A)))],
% 164.64/164.96 [refute_0_578, refute_0_583])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_585, plain, ('==>'(A, A) = 0),
% 164.64/164.96 inference(subst, [], [refute_0_566 : [bind(X_322, $fot(A))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_586, plain,
% 164.64/164.96 ('==>'(A, A) != 0 |
% 164.64/164.96 '==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) != '==>'(A, A) |
% 164.64/164.96 '==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) = 0),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'(A, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(A, A))), [1],
% 164.64/164.96 $fot(0)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_587, plain,
% 164.64/164.96 ('==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) != '==>'(A, A) |
% 164.64/164.96 '==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) = 0),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'(A, A), 0))],
% 164.64/164.96 [refute_0_585, refute_0_586])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_588, plain,
% 164.64/164.96 ('==>'('==>'(A, '==>'(1, X_335)), '==>'(1, X_335)) = 0),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(A, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(A, A)))],
% 164.64/164.96 [refute_0_584, refute_0_587])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_589, plain,
% 164.64/164.96 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) = 0),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_588 :
% 164.64/164.96 [bind(A, $fot('==>'(X_8, '==>'(1, X_335))))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_590, plain,
% 164.64/164.96 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) != 0 |
% 164.64/164.96 '==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) != '==>'(1, X_335) | 0 = '==>'(1, X_335)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335))), [0], $fot(0)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_591, plain,
% 164.64/164.96 ('==>'('==>'('==>'(X_8, '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)) != '==>'(1, X_335) | 0 = '==>'(1, X_335)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(1, X_335)), 0))],
% 164.64/164.96 [refute_0_589, refute_0_590])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_592, plain, (0 = '==>'(1, X_335)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(X_8, '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)), '==>'(1, X_335)),
% 164.64/164.96 '==>'(1, X_335)))], [refute_0_577, refute_0_591])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_593, plain, (0 != '==>'(1, X_335) | '==>'(1, X_335) = 0),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_42 :
% 164.64/164.96 [bind(X, $fot(0)), bind(Y, $fot('==>'(1, X_335)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_594, plain, ('==>'(1, X_335) = 0),
% 164.64/164.96 inference(resolve, [$cnf($equal(0, '==>'(1, X_335)))],
% 164.64/164.96 [refute_0_592, refute_0_593])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_595, plain, ('==>'(1, 1) = 0),
% 164.64/164.96 inference(subst, [], [refute_0_594 : [bind(X_335, $fot(1))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_596, plain,
% 164.64/164.96 ('==>'('==>'(1, 1), X_1048) = '==>'('==>'(1, 1), X_1048)),
% 164.64/164.96 introduced(tautology, [refl, [$fot('==>'('==>'(1, 1), X_1048))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_597, plain,
% 164.64/164.96 ('==>'(1, 1) != 0 |
% 164.64/164.96 '==>'('==>'(1, 1), X_1048) != '==>'('==>'(1, 1), X_1048) |
% 164.64/164.96 '==>'('==>'(1, 1), X_1048) = '==>'(0, X_1048)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'(1, 1), X_1048))), [1, 0], $fot(0)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_598, plain,
% 164.64/164.96 ('==>'(1, 1) != 0 | '==>'('==>'(1, 1), X_1048) = '==>'(0, X_1048)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'(1, 1), X_1048)))],
% 164.64/164.96 [refute_0_596, refute_0_597])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_599, plain, ('==>'('==>'(1, 1), X_1048) = '==>'(0, X_1048)),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'(1, 1), 0))],
% 164.64/164.96 [refute_0_595, refute_0_598])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_600, plain,
% 164.64/164.96 ('==>'(0, X_1048) != X_1048 |
% 164.64/164.96 '==>'('==>'(1, 1), X_1048) != '==>'(0, X_1048) |
% 164.64/164.96 '==>'('==>'(1, 1), X_1048) = X_1048),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_151 :
% 164.64/164.96 [bind(X, $fot('==>'('==>'(1, 1), X_1048))),
% 164.64/164.96 bind(Y, $fot('==>'(0, X_1048))), bind(Z, $fot(X_1048))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_601, plain,
% 164.64/164.96 ('==>'(0, X_1048) != X_1048 | '==>'('==>'(1, 1), X_1048) = X_1048),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'(1, 1), X_1048), '==>'(0, X_1048)))],
% 164.64/164.96 [refute_0_599, refute_0_600])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_602, plain, ('==>'('==>'(1, 1), X_1048) = X_1048),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'(0, X_1048), X_1048))],
% 164.64/164.96 [refute_0_510, refute_0_601])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_603, plain,
% 164.64/164.96 ('==>'('==>'('==>'(1, 1), X_1048), X_2812) =
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [refl, [$fot('==>'('==>'('==>'(1, 1), X_1048), X_2812))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_604, plain,
% 164.64/164.96 ('==>'('==>'(1, 1), X_1048) != X_1048 |
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812) !=
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812) |
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812) = '==>'(X_1048, X_2812)),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 [1, 0], $fot(X_1048)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_605, plain,
% 164.64/164.96 ('==>'('==>'(1, 1), X_1048) != X_1048 |
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812) = '==>'(X_1048, X_2812)),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))],
% 164.64/164.96 [refute_0_603, refute_0_604])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_606, plain,
% 164.64/164.96 ('==>'('==>'('==>'(1, 1), X_1048), X_2812) = '==>'(X_1048, X_2812)),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'('==>'(1, 1), X_1048), X_1048))],
% 164.64/164.96 [refute_0_602, refute_0_605])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_607, plain,
% 164.64/164.96 (add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [refl,
% 164.64/164.96 [$fot(add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_608, plain,
% 164.64/164.96 (add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) |
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812) != '==>'(X_1048, X_2812) |
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal(add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 [1, 1], $fot('==>'(X_1048, X_2812))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_609, plain,
% 164.64/164.96 ('==>'('==>'('==>'(1, 1), X_1048), X_2812) != '==>'(X_1048, X_2812) |
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))],
% 164.64/164.96 [refute_0_607, refute_0_608])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_610, plain,
% 164.64/164.96 (add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.96 '==>'(X_1048, X_2812)))],
% 164.64/164.96 [refute_0_606, refute_0_609])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_611, plain,
% 164.64/164.96 (add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [refl,
% 164.64/164.96 [$fot(add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_612, plain,
% 164.64/164.96 (add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) |
% 164.64/164.96 '==>'('==>'(1, 1), X_1048) != X_1048 |
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal(add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 [1, 0], $fot(X_1048)]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_613, plain,
% 164.64/164.96 ('==>'('==>'(1, 1), X_1048) != X_1048 |
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))],
% 164.64/164.96 [refute_0_611, refute_0_612])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_614, plain,
% 164.64/164.96 (add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 inference(resolve, [$cnf($equal('==>'('==>'(1, 1), X_1048), X_1048))],
% 164.64/164.96 [refute_0_602, refute_0_613])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_615, plain,
% 164.64/164.96 (add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) |
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.96 inference(subst, [],
% 164.64/164.96 [refute_0_151 :
% 164.64/164.96 [bind(X,
% 164.64/164.96 $fot(add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 bind(Y,
% 164.64/164.96 $fot(add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 bind(Z, $fot(add(X_1048, '==>'(X_1048, X_2812))))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_616, plain,
% 164.64/164.96 (add(X_1048, '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))],
% 164.64/164.96 [refute_0_614, refute_0_615])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_617, plain,
% 164.64/164.96 (add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) =
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(add(X_1048,
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))))],
% 164.64/164.96 [refute_0_610, refute_0_616])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_618, plain,
% 164.64/164.96 ('==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [refl,
% 164.64/164.96 [$fot('==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_619, plain,
% 164.64/164.96 (add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) |
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.96 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))),
% 164.64/164.96 [1, 1], $fot(add(X_1048, '==>'(X_1048, X_2812)))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_620, plain,
% 164.64/164.96 (add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)) !=
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.96 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal('==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))))],
% 164.64/164.96 [refute_0_618, refute_0_619])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_621, plain,
% 164.64/164.96 ('==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.96 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.96 inference(resolve,
% 164.64/164.96 [$cnf($equal(add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)),
% 164.64/164.96 add(X_1048, '==>'(X_1048, X_2812))))],
% 164.64/164.96 [refute_0_617, refute_0_620])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_622, plain,
% 164.64/164.96 ('==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.96 '==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [refl,
% 164.64/164.96 [$fot('==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))]])).
% 164.64/164.96
% 164.64/164.96 cnf(refute_0_623, plain,
% 164.64/164.96 ('==>'(1, 1) != 0 |
% 164.64/164.96 '==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.96 '==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) |
% 164.64/164.96 '==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.96 '==>'(0,
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.96 introduced(tautology,
% 164.64/164.96 [equality,
% 164.64/164.96 [$cnf($equal('==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.96 '==>'('==>'(1, 1),
% 164.64/164.96 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.96 '==>'('==>'('==>'(1, 1), X_1048), X_2812))))),
% 164.64/164.96 [1, 0], $fot(0)]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_624, plain,
% 164.64/164.97 ('==>'(1, 1) != 0 |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 '==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))))],
% 164.64/164.97 [refute_0_622, refute_0_623])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_625, plain,
% 164.64/164.97 ('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 '==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.97 inference(resolve, [$cnf($equal('==>'(1, 1), 0))],
% 164.64/164.97 [refute_0_595, refute_0_624])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_626, plain,
% 164.64/164.97 ('==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.97 '==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_151 :
% 164.64/164.97 [bind(X,
% 164.64/164.97 $fot('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 X_2812))))),
% 164.64/164.97 bind(Y,
% 164.64/164.97 $fot('==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 X_2812))))),
% 164.64/164.97 bind(Z,
% 164.64/164.97 $fot('==>'(0,
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812)))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_627, plain,
% 164.64/164.97 ('==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.97 '==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))))],
% 164.64/164.97 [refute_0_625, refute_0_626])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_628, plain,
% 164.64/164.97 ('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(0,
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))))],
% 164.64/164.97 [refute_0_621, refute_0_627])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_629, plain,
% 164.64/164.97 ('==>'(0, add(X_1048, '==>'(X_1048, X_2812))) !=
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_151 :
% 164.64/164.97 [bind(X,
% 164.64/164.97 $fot('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 X_2812))))),
% 164.64/164.97 bind(Y,
% 164.64/164.97 $fot('==>'(0, add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.97 bind(Z, $fot(add(X_1048, '==>'(X_1048, X_2812))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_630, plain,
% 164.64/164.97 ('==>'(0, add(X_1048, '==>'(X_1048, X_2812))) !=
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.97 '==>'(0, add(X_1048, '==>'(X_1048, X_2812)))))],
% 164.64/164.97 [refute_0_628, refute_0_629])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_631, plain,
% 164.64/164.97 ('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) =
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(0, add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.97 add(X_1048, '==>'(X_1048, X_2812))))],
% 164.64/164.97 [refute_0_509, refute_0_630])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_632, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_1 :
% 164.64/164.97 [bind(A, $fot('==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 bind(B, $fot('==>'(X_1707, add(X_1708, X_1709))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_633, plain,
% 164.64/164.97 (~
% 164.64/164.97 greater_equal(0,
% 164.64/164.97 '==>'('==>'(X_1244, add(X_1245, X_1246)),
% 164.64/164.97 '==>'(X_1244, add(X_1246, X_1245)))) |
% 164.64/164.97 '==>'('==>'(X_1244, add(X_1245, X_1246)),
% 164.64/164.97 '==>'(X_1244, add(X_1246, X_1245))) = 0),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_7 :
% 164.64/164.97 [bind(X_308,
% 164.64/164.97 $fot('==>'('==>'(X_1244, add(X_1245, X_1246)),
% 164.64/164.97 '==>'(X_1244, add(X_1246, X_1245)))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_634, plain,
% 164.64/164.97 (~
% 164.64/164.97 greater_equal('==>'(X_1241, add(X_1242, X_1243)),
% 164.64/164.97 '==>'(X_1241, add(X_1243, X_1242))) |
% 164.64/164.97 greater_equal(0,
% 164.64/164.97 '==>'('==>'(X_1241, add(X_1242, X_1243)),
% 164.64/164.97 '==>'(X_1241, add(X_1243, X_1242))))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_24 :
% 164.64/164.97 [bind(X_106, $fot('==>'(X_1241, add(X_1242, X_1243)))),
% 164.64/164.97 bind(X_108, $fot('==>'(X_1241, add(X_1243, X_1242))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_635, plain,
% 164.64/164.97 (~ greater_equal(add(X_35, X_36), add(X_36, X_35)) |
% 164.64/164.97 greater_equal('==>'(X_244, add(X_35, X_36)),
% 164.64/164.97 '==>'(X_244, add(X_36, X_35)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_339 :
% 164.64/164.97 [bind(X14, $fot(add(X_35, X_36))),
% 164.64/164.97 bind(X15, $fot(add(X_36, X_35))),
% 164.64/164.97 bind(X16, $fot(X_244))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_636, plain,
% 164.64/164.97 (greater_equal('==>'(X_244, add(X_35, X_36)),
% 164.64/164.97 '==>'(X_244, add(X_36, X_35)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf(greater_equal(add(X_35, X_36), add(X_36, X_35)))],
% 164.64/164.97 [refute_0_381, refute_0_635])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_637, plain,
% 164.64/164.97 (greater_equal('==>'(X_1241, add(X_1242, X_1243)),
% 164.64/164.97 '==>'(X_1241, add(X_1243, X_1242)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_636 :
% 164.64/164.97 [bind(X_244, $fot(X_1241)), bind(X_35, $fot(X_1242)),
% 164.64/164.97 bind(X_36, $fot(X_1243))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_638, plain,
% 164.64/164.97 (greater_equal(0,
% 164.64/164.97 '==>'('==>'(X_1241, add(X_1242, X_1243)),
% 164.64/164.97 '==>'(X_1241, add(X_1243, X_1242))))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf(greater_equal('==>'(X_1241, add(X_1242, X_1243)),
% 164.64/164.97 '==>'(X_1241, add(X_1243, X_1242))))],
% 164.64/164.97 [refute_0_637, refute_0_634])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_639, plain,
% 164.64/164.97 (greater_equal(0,
% 164.64/164.97 '==>'('==>'(X_1244, add(X_1245, X_1246)),
% 164.64/164.97 '==>'(X_1244, add(X_1246, X_1245))))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_638 :
% 164.64/164.97 [bind(X_1241, $fot(X_1244)), bind(X_1242, $fot(X_1245)),
% 164.64/164.97 bind(X_1243, $fot(X_1246))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_640, plain,
% 164.64/164.97 ('==>'('==>'(X_1244, add(X_1245, X_1246)),
% 164.64/164.97 '==>'(X_1244, add(X_1246, X_1245))) = 0),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf(greater_equal(0,
% 164.64/164.97 '==>'('==>'(X_1244, add(X_1245, X_1246)),
% 164.64/164.97 '==>'(X_1244, add(X_1246, X_1245)))))],
% 164.64/164.97 [refute_0_639, refute_0_633])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_641, plain,
% 164.64/164.97 ('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))) = 0),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_640 :
% 164.64/164.97 [bind(X_1244, $fot(X_1707)), bind(X_1245, $fot(X_1708)),
% 164.64/164.97 bind(X_1246, $fot(X_1709))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_642, plain,
% 164.64/164.97 ('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))) != 0 |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 introduced(tautology,
% 164.64/164.97 [equality,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707,
% 164.64/164.97 add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))))), [1, 0],
% 164.64/164.97 $fot(0)]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_643, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))), 0))],
% 164.64/164.97 [refute_0_641, refute_0_642])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_644, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708)))))],
% 164.64/164.97 [refute_0_632, refute_0_643])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_645, plain,
% 164.64/164.97 ('==>'(0, '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_138 :
% 164.64/164.97 [bind(X_309, $fot('==>'(X_1707, add(X_1708, X_1709))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_646, plain,
% 164.64/164.97 ('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) = 0),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_640 :
% 164.64/164.97 [bind(X_1244, $fot(X_1707)), bind(X_1245, $fot(X_1709)),
% 164.64/164.97 bind(X_1246, $fot(X_1708))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_647, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)))),
% 164.64/164.97 introduced(tautology,
% 164.64/164.97 [refl,
% 164.64/164.97 [$fot('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_648, plain,
% 164.64/164.97 ('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) != 0 |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1708, X_1709)))),
% 164.64/164.97 introduced(tautology,
% 164.64/164.97 [equality,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707,
% 164.64/164.97 add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))))), [1, 0],
% 164.64/164.97 $fot(0)]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_649, plain,
% 164.64/164.97 ('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) != 0 |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1708, X_1709)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)))))],
% 164.64/164.97 [refute_0_647, refute_0_648])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_650, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1708, X_1709)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))), 0))],
% 164.64/164.97 [refute_0_646, refute_0_649])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_651, plain,
% 164.64/164.97 ('==>'(0, '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1708, X_1709))) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_151 :
% 164.64/164.97 [bind(X,
% 164.64/164.97 $fot('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))))),
% 164.64/164.97 bind(Y,
% 164.64/164.97 $fot('==>'(0, '==>'(X_1707, add(X_1708, X_1709))))),
% 164.64/164.97 bind(Z, $fot('==>'(X_1707, add(X_1708, X_1709))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_652, plain,
% 164.64/164.97 ('==>'(0, '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1708, X_1709)))))],
% 164.64/164.97 [refute_0_650, refute_0_651])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_653, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) =
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(0, '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))))],
% 164.64/164.97 [refute_0_645, refute_0_652])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_654, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) |
% 164.64/164.97 '==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 introduced(tautology,
% 164.64/164.97 [equality,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707,
% 164.64/164.97 add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))))),
% 164.64/164.97 [0], $fot('==>'(X_1707, add(X_1708, X_1709)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_655, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) =
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))))],
% 164.64/164.97 [refute_0_653, refute_0_654])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_656, plain,
% 164.64/164.97 ('==>'(0, '==>'(X_1707, add(X_1709, X_1708))) =
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_138 :
% 164.64/164.97 [bind(X_309, $fot('==>'(X_1707, add(X_1709, X_1708))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_657, plain,
% 164.64/164.97 ('==>'(X_1707, add(X_1708, X_1709)) !=
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))) !=
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708)) |
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) =
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 introduced(tautology,
% 164.64/164.97 [equality,
% 164.64/164.97 [$cnf(~ $equal('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708)))), [0],
% 164.64/164.97 $fot('==>'(0, '==>'(X_1707, add(X_1709, X_1708))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_658, plain,
% 164.64/164.97 ('==>'(X_1707, add(X_1708, X_1709)) !=
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) =
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(0, '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))))],
% 164.64/164.97 [refute_0_656, refute_0_657])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_659, plain,
% 164.64/164.97 ('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))) !=
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708))) |
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709)) =
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))))],
% 164.64/164.97 [refute_0_655, refute_0_658])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_660, plain,
% 164.64/164.97 ('==>'(X_1707, add(X_1708, X_1709)) =
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'('==>'(X_1707, add(X_1709, X_1708)),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 '==>'(0, '==>'(X_1707, add(X_1709, X_1708)))))],
% 164.64/164.97 [refute_0_644, refute_0_659])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_661, plain,
% 164.64/164.97 ('==>'(X_1707, add(X_1708, X_1709)) !=
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708)) |
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708)) =
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_42 :
% 164.64/164.97 [bind(X, $fot('==>'(X_1707, add(X_1708, X_1709)))),
% 164.64/164.97 bind(Y, $fot('==>'(X_1707, add(X_1709, X_1708))))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_662, plain,
% 164.64/164.97 ('==>'(X_1707, add(X_1709, X_1708)) =
% 164.64/164.97 '==>'(X_1707, add(X_1708, X_1709))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(X_1707, add(X_1708, X_1709)),
% 164.64/164.97 '==>'(X_1707, add(X_1709, X_1708))))],
% 164.64/164.97 [refute_0_660, refute_0_661])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_663, plain,
% 164.64/164.97 ('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'(1, 1), X_1048))) =
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_662 :
% 164.64/164.97 [bind(X_1707, $fot('==>'(1, 1))),
% 164.64/164.97 bind(X_1708, $fot('==>'('==>'(1, 1), X_1048))),
% 164.64/164.97 bind(X_1709,
% 164.64/164.97 $fot('==>'('==>'('==>'(1, 1), X_1048), X_2812)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_664, plain,
% 164.64/164.97 ('==>'('==>'(X_2002, 1), add(X_2024, X_2025)) =
% 164.64/164.97 '==>'('==>'(add(X_2024, X_2025), 1), X_2002)),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_313 : [bind(X_2001, $fot(add(X_2024, X_2025)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_665, plain,
% 164.64/164.97 ('==>'(X_2024, '==>'(X_2025, 1)) = '==>'(add(X_2024, X_2025), 1)),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_410 :
% 164.64/164.97 [bind(X_988, $fot(X_2024)), bind(X_989, $fot(X_2025))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_666, plain,
% 164.64/164.97 ('==>'(X_2024, '==>'(X_2025, 1)) != '==>'(add(X_2024, X_2025), 1) |
% 164.64/164.97 '==>'(add(X_2024, X_2025), 1) = '==>'(X_2024, '==>'(X_2025, 1))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_42 :
% 164.64/164.97 [bind(X, $fot('==>'(X_2024, '==>'(X_2025, 1)))),
% 164.64/164.97 bind(Y, $fot('==>'(add(X_2024, X_2025), 1)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_667, plain,
% 164.64/164.97 ('==>'(add(X_2024, X_2025), 1) = '==>'(X_2024, '==>'(X_2025, 1))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(X_2024, '==>'(X_2025, 1)),
% 164.64/164.97 '==>'(add(X_2024, X_2025), 1)))],
% 164.64/164.97 [refute_0_665, refute_0_666])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_668, plain,
% 164.64/164.97 ('==>'(add(X_2024, X_2025), 1) != '==>'(X_2024, '==>'(X_2025, 1)) |
% 164.64/164.97 '==>'('==>'(X_2002, 1), add(X_2024, X_2025)) !=
% 164.64/164.97 '==>'('==>'(add(X_2024, X_2025), 1), X_2002) |
% 164.64/164.97 '==>'('==>'(X_2002, 1), add(X_2024, X_2025)) =
% 164.64/164.97 '==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002)),
% 164.64/164.97 introduced(tautology,
% 164.64/164.97 [equality,
% 164.64/164.97 [$cnf($equal('==>'('==>'(X_2002, 1), add(X_2024, X_2025)),
% 164.64/164.97 '==>'('==>'(add(X_2024, X_2025), 1), X_2002))),
% 164.64/164.97 [1, 0], $fot('==>'(X_2024, '==>'(X_2025, 1)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_669, plain,
% 164.64/164.97 ('==>'('==>'(X_2002, 1), add(X_2024, X_2025)) !=
% 164.64/164.97 '==>'('==>'(add(X_2024, X_2025), 1), X_2002) |
% 164.64/164.97 '==>'('==>'(X_2002, 1), add(X_2024, X_2025)) =
% 164.64/164.97 '==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002)),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'(add(X_2024, X_2025), 1),
% 164.64/164.97 '==>'(X_2024, '==>'(X_2025, 1))))],
% 164.64/164.97 [refute_0_667, refute_0_668])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_670, plain,
% 164.64/164.97 ('==>'('==>'(X_2002, 1), add(X_2024, X_2025)) =
% 164.64/164.97 '==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002)),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(X_2002, 1), add(X_2024, X_2025)),
% 164.64/164.97 '==>'('==>'(add(X_2024, X_2025), 1), X_2002)))],
% 164.64/164.97 [refute_0_664, refute_0_669])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_671, plain,
% 164.64/164.97 ('==>'('==>'(X_2002, 1), add(X_2024, X_2025)) !=
% 164.64/164.97 '==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002) |
% 164.64/164.97 '==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002) =
% 164.64/164.97 '==>'('==>'(X_2002, 1), add(X_2024, X_2025))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_42 :
% 164.64/164.97 [bind(X,
% 164.64/164.97 $fot('==>'('==>'(X_2002, 1), add(X_2024, X_2025)))),
% 164.64/164.97 bind(Y,
% 164.64/164.97 $fot('==>'('==>'(X_2024, '==>'(X_2025, 1)),
% 164.64/164.97 X_2002)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_672, plain,
% 164.64/164.97 ('==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002) =
% 164.64/164.97 '==>'('==>'(X_2002, 1), add(X_2024, X_2025))),
% 164.64/164.97 inference(resolve,
% 164.64/164.97 [$cnf($equal('==>'('==>'(X_2002, 1), add(X_2024, X_2025)),
% 164.64/164.97 '==>'('==>'(X_2024, '==>'(X_2025, 1)), X_2002)))],
% 164.64/164.97 [refute_0_670, refute_0_671])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_673, plain,
% 164.64/164.97 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'(1, 1), X_1048)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_672 :
% 164.64/164.97 [bind(X_2002, $fot(1)),
% 164.64/164.97 bind(X_2024,
% 164.64/164.97 $fot('==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.97 bind(X_2025, $fot('==>'('==>'(1, 1), X_1048)))]])).
% 164.64/164.97
% 164.64/164.97 cnf(refute_0_674, plain,
% 164.64/164.97 ('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'(1, 1), X_1048))) !=
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) |
% 164.64/164.97 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) !=
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'(1, 1), X_1048))) |
% 164.64/164.97 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.97 '==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.97 inference(subst, [],
% 164.64/164.97 [refute_0_151 :
% 164.64/164.97 [bind(X,
% 164.64/164.97 $fot('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 X_2812),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.97 bind(Y,
% 164.64/164.97 $fot('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.97 '==>'('==>'(1, 1), X_1048))))),
% 164.64/164.97 bind(Z,
% 164.64/164.97 $fot('==>'('==>'(1, 1),
% 164.64/164.97 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 '==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.97 X_2812)))))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_675, plain,
% 164.64/164.98 ('==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'(1, 1), X_1048))) !=
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812), '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1),
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'(1, 1), X_1048)))))],
% 164.64/164.98 [refute_0_673, refute_0_674])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_676, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'(1, 1), X_1048))),
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))))],
% 164.64/164.98 [refute_0_663, refute_0_675])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_677, plain,
% 164.64/164.98 ('==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) !=
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_151 :
% 164.64/164.98 [bind(X,
% 164.64/164.98 $fot('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.98 bind(Y,
% 164.64/164.98 $fot('==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812))))),
% 164.64/164.98 bind(Z, $fot(add(X_1048, '==>'(X_1048, X_2812))))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_678, plain,
% 164.64/164.98 ('==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812))) !=
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812), '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1),
% 164.64/164.98 '==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812)))))],
% 164.64/164.98 [refute_0_676, refute_0_677])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_679, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) =
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(1, 1),
% 164.64/164.98 add('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), X_2812))),
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812))))],
% 164.64/164.98 [refute_0_631, refute_0_678])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_680, plain,
% 164.64/164.98 ('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [refl,
% 164.64/164.98 [$fot('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1)))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_681, plain,
% 164.64/164.98 ('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) !=
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf($equal('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.98 [1, 1], $fot(add(X_1048, '==>'(X_1048, X_2812)))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_682, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1) !=
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812)) |
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))))],
% 164.64/164.98 [refute_0_680, refute_0_681])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_683, plain,
% 164.64/164.98 ('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812), '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1), add(X_1048, '==>'(X_1048, X_2812))))],
% 164.64/164.98 [refute_0_679, refute_0_682])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_684, plain,
% 164.64/164.98 ('==>'(X_2812, '==>'('==>'(1, 1), X_1048)) =
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048))),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [refl, [$fot('==>'(X_2812, '==>'('==>'(1, 1), X_1048)))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_685, plain,
% 164.64/164.98 ('==>'(X_2812, '==>'('==>'(1, 1), X_1048)) !=
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048)) |
% 164.64/164.98 '==>'('==>'(1, 1), X_1048) != X_1048 |
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048)) = '==>'(X_2812, X_1048)),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf($equal('==>'(X_2812, '==>'('==>'(1, 1), X_1048)),
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048)))),
% 164.64/164.98 [1, 1], $fot(X_1048)]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_686, plain,
% 164.64/164.98 ('==>'('==>'(1, 1), X_1048) != X_1048 |
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048)) = '==>'(X_2812, X_1048)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'(X_2812, '==>'('==>'(1, 1), X_1048)),
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048))))],
% 164.64/164.98 [refute_0_684, refute_0_685])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_687, plain,
% 164.64/164.98 ('==>'(X_2812, '==>'('==>'(1, 1), X_1048)) = '==>'(X_2812, X_1048)),
% 164.64/164.98 inference(resolve, [$cnf($equal('==>'('==>'(1, 1), X_1048), X_1048))],
% 164.64/164.98 [refute_0_602, refute_0_686])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_688, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) =
% 164.64/164.98 '==>'('==>'('==>'(X_2011, 1), 1), X_2002)),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_313 : [bind(X_2001, $fot('==>'(X_2011, 1)))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_689, plain,
% 164.64/164.98 ('==>'('==>'(X_2011, 1), 1) = '==>'('==>'(1, 1), X_2011)),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_313 :
% 164.64/164.98 [bind(X_2001, $fot(1)), bind(X_2002, $fot(X_2011))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_690, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) !=
% 164.64/164.98 '==>'('==>'('==>'(X_2011, 1), 1), X_2002) |
% 164.64/164.98 '==>'('==>'(X_2011, 1), 1) != '==>'('==>'(1, 1), X_2011) |
% 164.64/164.98 '==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) =
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002)),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf($equal('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)),
% 164.64/164.98 '==>'('==>'('==>'(X_2011, 1), 1), X_2002))),
% 164.64/164.98 [1, 0], $fot('==>'('==>'(1, 1), X_2011))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_691, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) !=
% 164.64/164.98 '==>'('==>'('==>'(X_2011, 1), 1), X_2002) |
% 164.64/164.98 '==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) =
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(X_2011, 1), 1),
% 164.64/164.98 '==>'('==>'(1, 1), X_2011)))],
% 164.64/164.98 [refute_0_689, refute_0_690])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_692, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) =
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)),
% 164.64/164.98 '==>'('==>'('==>'(X_2011, 1), 1), X_2002)))],
% 164.64/164.98 [refute_0_688, refute_0_691])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_693, plain, ('==>'(0, X_2011) = X_2011),
% 164.64/164.98 inference(subst, [], [refute_0_138 : [bind(X_309, $fot(X_2011))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_694, plain,
% 164.64/164.98 ('==>'('==>'(1, 1), X_2011) = '==>'('==>'(1, 1), X_2011)),
% 164.64/164.98 introduced(tautology, [refl, [$fot('==>'('==>'(1, 1), X_2011))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_695, plain,
% 164.64/164.98 ('==>'(1, 1) != 0 |
% 164.64/164.98 '==>'('==>'(1, 1), X_2011) != '==>'('==>'(1, 1), X_2011) |
% 164.64/164.98 '==>'('==>'(1, 1), X_2011) = '==>'(0, X_2011)),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf($equal('==>'('==>'(1, 1), X_2011),
% 164.64/164.98 '==>'('==>'(1, 1), X_2011))), [1, 0], $fot(0)]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_696, plain,
% 164.64/164.98 ('==>'(1, 1) != 0 | '==>'('==>'(1, 1), X_2011) = '==>'(0, X_2011)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(1, 1), X_2011),
% 164.64/164.98 '==>'('==>'(1, 1), X_2011)))],
% 164.64/164.98 [refute_0_694, refute_0_695])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_697, plain, ('==>'('==>'(1, 1), X_2011) = '==>'(0, X_2011)),
% 164.64/164.98 inference(resolve, [$cnf($equal('==>'(1, 1), 0))],
% 164.64/164.98 [refute_0_595, refute_0_696])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_698, plain,
% 164.64/164.98 ('==>'(0, X_2011) != X_2011 |
% 164.64/164.98 '==>'('==>'(1, 1), X_2011) != '==>'(0, X_2011) |
% 164.64/164.98 '==>'('==>'(1, 1), X_2011) = X_2011),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_151 :
% 164.64/164.98 [bind(X, $fot('==>'('==>'(1, 1), X_2011))),
% 164.64/164.98 bind(Y, $fot('==>'(0, X_2011))), bind(Z, $fot(X_2011))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_699, plain,
% 164.64/164.98 ('==>'(0, X_2011) != X_2011 | '==>'('==>'(1, 1), X_2011) = X_2011),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(1, 1), X_2011), '==>'(0, X_2011)))],
% 164.64/164.98 [refute_0_697, refute_0_698])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_700, plain, ('==>'('==>'(1, 1), X_2011) = X_2011),
% 164.64/164.98 inference(resolve, [$cnf($equal('==>'(0, X_2011), X_2011))],
% 164.64/164.98 [refute_0_693, refute_0_699])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_701, plain,
% 164.64/164.98 ('==>'('==>'('==>'(1, 1), X_2011), X_2002) =
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002)),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [refl, [$fot('==>'('==>'('==>'(1, 1), X_2011), X_2002))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_702, plain,
% 164.64/164.98 ('==>'('==>'(1, 1), X_2011) != X_2011 |
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) !=
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) |
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) = '==>'(X_2011, X_2002)),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'(1, 1), X_2011), X_2002),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002))),
% 164.64/164.98 [1, 0], $fot(X_2011)]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_703, plain,
% 164.64/164.98 ('==>'('==>'(1, 1), X_2011) != X_2011 |
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) = '==>'(X_2011, X_2002)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'(1, 1), X_2011), X_2002),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002)))],
% 164.64/164.98 [refute_0_701, refute_0_702])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_704, plain,
% 164.64/164.98 ('==>'('==>'('==>'(1, 1), X_2011), X_2002) = '==>'(X_2011, X_2002)),
% 164.64/164.98 inference(resolve, [$cnf($equal('==>'('==>'(1, 1), X_2011), X_2011))],
% 164.64/164.98 [refute_0_700, refute_0_703])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_705, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) !=
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) |
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) != '==>'(X_2011, X_2002) |
% 164.64/164.98 '==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) = '==>'(X_2011, X_2002)),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf(~ $equal('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)),
% 164.64/164.98 '==>'(X_2011, X_2002))), [0],
% 164.64/164.98 $fot('==>'('==>'('==>'(1, 1), X_2011), X_2002))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_706, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) !=
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002) |
% 164.64/164.98 '==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) = '==>'(X_2011, X_2002)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'(1, 1), X_2011), X_2002),
% 164.64/164.98 '==>'(X_2011, X_2002)))],
% 164.64/164.98 [refute_0_704, refute_0_705])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_707, plain,
% 164.64/164.98 ('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)) = '==>'(X_2011, X_2002)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'(X_2002, 1), '==>'(X_2011, 1)),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_2011), X_2002)))],
% 164.64/164.98 [refute_0_692, refute_0_706])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_708, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) =
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048))),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_707 :
% 164.64/164.98 [bind(X_2002, $fot('==>'('==>'(1, 1), X_1048))),
% 164.64/164.98 bind(X_2011, $fot(X_2812))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_709, plain,
% 164.64/164.98 ('==>'(X_2812, '==>'('==>'(1, 1), X_1048)) != '==>'(X_2812, X_1048) |
% 164.64/164.98 '==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) !=
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048)) |
% 164.64/164.98 '==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) =
% 164.64/164.98 '==>'(X_2812, X_1048)),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_151 :
% 164.64/164.98 [bind(X,
% 164.64/164.98 $fot('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)))),
% 164.64/164.98 bind(Y, $fot('==>'(X_2812, '==>'('==>'(1, 1), X_1048)))),
% 164.64/164.98 bind(Z, $fot('==>'(X_2812, X_1048)))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_710, plain,
% 164.64/164.98 ('==>'(X_2812, '==>'('==>'(1, 1), X_1048)) != '==>'(X_2812, X_1048) |
% 164.64/164.98 '==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) =
% 164.64/164.98 '==>'(X_2812, X_1048)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)),
% 164.64/164.98 '==>'(X_2812, '==>'('==>'(1, 1), X_1048))))],
% 164.64/164.98 [refute_0_708, refute_0_709])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_711, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) =
% 164.64/164.98 '==>'(X_2812, X_1048)),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'(X_2812, '==>'('==>'(1, 1), X_1048)),
% 164.64/164.98 '==>'(X_2812, X_1048)))],
% 164.64/164.98 [refute_0_687, refute_0_710])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_712, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [refl,
% 164.64/164.98 [$fot('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1)))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_713, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) !=
% 164.64/164.98 '==>'(X_2812, X_1048) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.98 introduced(tautology,
% 164.64/164.98 [equality,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.98 [1, 0], $fot('==>'(X_2812, X_1048))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_714, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)) !=
% 164.64/164.98 '==>'(X_2812, X_1048) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))))],
% 164.64/164.98 [refute_0_712, refute_0_713])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_715, plain,
% 164.64/164.98 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)), '==>'(X_2812, X_1048)))],
% 164.64/164.98 [refute_0_711, refute_0_714])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_716, plain,
% 164.64/164.98 ('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.98 inference(subst, [],
% 164.64/164.98 [refute_0_151 :
% 164.64/164.98 [bind(X,
% 164.64/164.98 $fot('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.98 '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1)))),
% 164.64/164.98 bind(Y,
% 164.64/164.98 $fot('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.98 1)))),
% 164.64/164.98 bind(Z,
% 164.64/164.98 $fot('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 add(X_1048, '==>'(X_1048, X_2812)))))]])).
% 164.64/164.98
% 164.64/164.98 cnf(refute_0_717, plain,
% 164.64/164.98 ('==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.98 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.98 inference(resolve,
% 164.64/164.98 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 1), '==>'(X_2812, 1)),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.98 '==>'('==>'(X_2812, X_1048),
% 164.64/164.98 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.98 X_2812),
% 164.64/164.98 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))))],
% 164.64/164.98 [refute_0_715, refute_0_716])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_718, plain,
% 164.64/164.99 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) =
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'('==>'(X_2812, X_1048),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.99 '==>'('==>'(X_2812, X_1048),
% 164.64/164.99 add(X_1048, '==>'(X_1048, X_2812)))))],
% 164.64/164.99 [refute_0_683, refute_0_717])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_719, plain,
% 164.64/164.99 ('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [refl,
% 164.64/164.99 [$fot('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.99 1))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_720, plain,
% 164.64/164.99 ('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) !=
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) |
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf($equal('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.99 1))),
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.99 1))))), [1, 1],
% 164.64/164.99 $fot('==>'('==>'(X_2812, X_1048),
% 164.64/164.99 add(X_1048, '==>'(X_1048, X_2812))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_721, plain,
% 164.64/164.99 ('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)) !=
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))) |
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.99 1)))))], [refute_0_719, refute_0_720])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_722, plain,
% 164.64/164.99 ('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1)),
% 164.64/164.99 '==>'('==>'(X_2812, X_1048),
% 164.64/164.99 add(X_1048, '==>'(X_1048, X_2812)))))],
% 164.64/164.99 [refute_0_718, refute_0_721])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_723, plain,
% 164.64/164.99 (0 !=
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) |
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) !=
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812)))) |
% 164.64/164.99 0 =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf(~ $equal(0,
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048),
% 164.64/164.99 add(X_1048, '==>'(X_1048, X_2812)))))), [0],
% 164.64/164.99 $fot('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.99 1))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_724, plain,
% 164.64/164.99 (0 !=
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1), '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))) |
% 164.64/164.99 0 =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)), 1))),
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048),
% 164.64/164.99 add(X_1048, '==>'(X_1048, X_2812))))))],
% 164.64/164.99 [refute_0_722, refute_0_723])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_725, plain,
% 164.64/164.99 (0 =
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'(X_2812, X_1048), add(X_1048, '==>'(X_1048, X_2812))))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(0,
% 164.64/164.99 '==>'(X_2812,
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048), 1),
% 164.64/164.99 '==>'(X_2812, 1)),
% 164.64/164.99 '==>'('==>'('==>'('==>'('==>'(1, 1), X_1048),
% 164.64/164.99 X_2812),
% 164.64/164.99 '==>'('==>'('==>'(1, 1), X_1048), 1)),
% 164.64/164.99 1)))))], [refute_0_508, refute_0_724])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_726, plain,
% 164.64/164.99 (0 =
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814), add(X_2814, '==>'(X_2814, X_1112))))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_725 :
% 164.64/164.99 [bind(X_1048, $fot(X_2814)), bind(X_2812, $fot(X_1112))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_727, plain,
% 164.64/164.99 (0 !=
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814), add(X_2814, '==>'(X_2814, X_1112)))) |
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814), add(X_2814, '==>'(X_2814, X_1112)))) =
% 164.64/164.99 0),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_42 :
% 164.64/164.99 [bind(X, $fot(0)),
% 164.64/164.99 bind(Y,
% 164.64/164.99 $fot('==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_728, plain,
% 164.64/164.99 ('==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814), add(X_2814, '==>'(X_2814, X_1112)))) =
% 164.64/164.99 0),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(0,
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))))))],
% 164.64/164.99 [refute_0_726, refute_0_727])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_729, plain,
% 164.64/164.99 ('==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814), add(X_2814, '==>'(X_2814, X_1112)))) !=
% 164.64/164.99 0 |
% 164.64/164.99 '==>'(add('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_1112,
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))))),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) != 0 |
% 164.64/164.99 '==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf($equal('==>'(add('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_1112,
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))))),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))), 0)),
% 164.64/164.99 [0, 0, 1, 1], $fot(0)]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_730, plain,
% 164.64/164.99 ('==>'(add('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_1112,
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))))),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) != 0 |
% 164.64/164.99 '==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))), 0))],
% 164.64/164.99 [refute_0_728, refute_0_729])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_731, plain,
% 164.64/164.99 ('==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'(add('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_1112,
% 164.64/164.99 '==>'(X_1112,
% 164.64/164.99 '==>'('==>'(X_1112, X_2814),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))))),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))), 0))],
% 164.64/164.99 [refute_0_29, refute_0_730])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_732, plain,
% 164.64/164.99 (add(0, '==>'(X_1112, X_2814)) = '==>'(X_1112, X_2814)),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_60 : [bind(A, $fot('==>'(X_1112, X_2814)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_733, plain,
% 164.64/164.99 (add(X_1112, add(0, '==>'(X_1112, X_2814))) =
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814)))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [refl,
% 164.64/164.99 [$fot(add(X_1112, add(0, '==>'(X_1112, X_2814))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_734, plain,
% 164.64/164.99 (add(X_1112, add(0, '==>'(X_1112, X_2814))) !=
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814))) |
% 164.64/164.99 add(0, '==>'(X_1112, X_2814)) != '==>'(X_1112, X_2814) |
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814))) =
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf($equal(add(X_1112, add(0, '==>'(X_1112, X_2814))),
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814))))),
% 164.64/164.99 [1, 1], $fot('==>'(X_1112, X_2814))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_735, plain,
% 164.64/164.99 (add(0, '==>'(X_1112, X_2814)) != '==>'(X_1112, X_2814) |
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814))) =
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(add(X_1112, add(0, '==>'(X_1112, X_2814))),
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814)))))],
% 164.64/164.99 [refute_0_733, refute_0_734])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_736, plain,
% 164.64/164.99 (add(X_1112, add(0, '==>'(X_1112, X_2814))) =
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(add(0, '==>'(X_1112, X_2814)),
% 164.64/164.99 '==>'(X_1112, X_2814)))],
% 164.64/164.99 [refute_0_732, refute_0_735])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_737, plain,
% 164.64/164.99 (add(add(X_1112, 0), '==>'(X_1112, X_2814)) =
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814)))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_88 :
% 164.64/164.99 [bind(A, $fot(X_1112)), bind(B, $fot(0)),
% 164.64/164.99 bind(C, $fot('==>'(X_1112, X_2814)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_738, plain,
% 164.64/164.99 (add(X_1112, add(0, '==>'(X_1112, X_2814))) !=
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814)) |
% 164.64/164.99 add(add(X_1112, 0), '==>'(X_1112, X_2814)) !=
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814))) |
% 164.64/164.99 add(add(X_1112, 0), '==>'(X_1112, X_2814)) =
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_151 :
% 164.64/164.99 [bind(X, $fot(add(add(X_1112, 0), '==>'(X_1112, X_2814)))),
% 164.64/164.99 bind(Y, $fot(add(X_1112, add(0, '==>'(X_1112, X_2814))))),
% 164.64/164.99 bind(Z, $fot(add(X_1112, '==>'(X_1112, X_2814))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_739, plain,
% 164.64/164.99 (add(X_1112, add(0, '==>'(X_1112, X_2814))) !=
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814)) |
% 164.64/164.99 add(add(X_1112, 0), '==>'(X_1112, X_2814)) =
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_1112, add(0, '==>'(X_1112, X_2814)))))],
% 164.64/164.99 [refute_0_737, refute_0_738])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_740, plain,
% 164.64/164.99 (add(add(X_1112, 0), '==>'(X_1112, X_2814)) =
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(add(X_1112, add(0, '==>'(X_1112, X_2814))),
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))))],
% 164.64/164.99 [refute_0_736, refute_0_739])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_741, plain,
% 164.64/164.99 ('==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [refl,
% 164.64/164.99 [$fot('==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_742, plain,
% 164.64/164.99 (add(add(X_1112, 0), '==>'(X_1112, X_2814)) !=
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814)) |
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) !=
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) |
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/164.99 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf($equal('==>'(add(add(X_1112, 0),
% 164.64/164.99 '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))),
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))))), [1, 0],
% 164.64/164.99 $fot(add(X_1112, '==>'(X_1112, X_2814)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_743, plain,
% 164.64/164.99 (add(add(X_1112, 0), '==>'(X_1112, X_2814)) !=
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814)) |
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/164.99 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'(add(add(X_1112, 0),
% 164.64/164.99 '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))),
% 164.64/164.99 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))))],
% 164.64/164.99 [refute_0_741, refute_0_742])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_744, plain,
% 164.64/164.99 ('==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/164.99 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/164.99 add(X_1112, '==>'(X_1112, X_2814))))],
% 164.64/164.99 [refute_0_740, refute_0_743])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_745, plain,
% 164.64/164.99 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_1 :
% 164.64/164.99 [bind(A, $fot('==>'(add(X_2648, X_2649), X_2647))),
% 164.64/164.99 bind(B, $fot('==>'(add(X_2649, X_2648), X_2647)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_746, plain,
% 164.64/164.99 (~
% 164.64/164.99 greater_equal(0,
% 164.64/164.99 '==>'('==>'(add(X_1424, X_1423), X_1422),
% 164.64/164.99 '==>'(add(X_1423, X_1424), X_1422))) |
% 164.64/164.99 '==>'('==>'(add(X_1424, X_1423), X_1422),
% 164.64/164.99 '==>'(add(X_1423, X_1424), X_1422)) = 0),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_7 :
% 164.64/164.99 [bind(X_308,
% 164.64/164.99 $fot('==>'('==>'(add(X_1424, X_1423), X_1422),
% 164.64/164.99 '==>'(add(X_1423, X_1424), X_1422))))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_747, plain,
% 164.64/164.99 (~
% 164.64/164.99 greater_equal('==>'(add(X_1217, X_1216), X_1215),
% 164.64/164.99 '==>'(add(X_1216, X_1217), X_1215)) |
% 164.64/164.99 greater_equal(0,
% 164.64/164.99 '==>'('==>'(add(X_1217, X_1216), X_1215),
% 164.64/164.99 '==>'(add(X_1216, X_1217), X_1215)))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_24 :
% 164.64/164.99 [bind(X_106, $fot('==>'(add(X_1217, X_1216), X_1215))),
% 164.64/164.99 bind(X_108, $fot('==>'(add(X_1216, X_1217), X_1215)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_748, plain,
% 164.64/164.99 (~ greater_equal(add(X_35, X_36), add(X_36, X_35)) |
% 164.64/164.99 greater_equal('==>'(add(X_36, X_35), X_220),
% 164.64/164.99 '==>'(add(X_35, X_36), X_220))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_258 :
% 164.64/164.99 [bind(X11, $fot(add(X_35, X_36))),
% 164.64/164.99 bind(X12, $fot(add(X_36, X_35))),
% 164.64/164.99 bind(X13, $fot(X_220))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_749, plain,
% 164.64/164.99 (greater_equal('==>'(add(X_36, X_35), X_220),
% 164.64/164.99 '==>'(add(X_35, X_36), X_220))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf(greater_equal(add(X_35, X_36), add(X_36, X_35)))],
% 164.64/164.99 [refute_0_381, refute_0_748])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_750, plain,
% 164.64/164.99 (greater_equal('==>'(add(X_1217, X_1216), X_1215),
% 164.64/164.99 '==>'(add(X_1216, X_1217), X_1215))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_749 :
% 164.64/164.99 [bind(X_220, $fot(X_1215)), bind(X_35, $fot(X_1216)),
% 164.64/164.99 bind(X_36, $fot(X_1217))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_751, plain,
% 164.64/164.99 (greater_equal(0,
% 164.64/164.99 '==>'('==>'(add(X_1217, X_1216), X_1215),
% 164.64/164.99 '==>'(add(X_1216, X_1217), X_1215)))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf(greater_equal('==>'(add(X_1217, X_1216), X_1215),
% 164.64/164.99 '==>'(add(X_1216, X_1217), X_1215)))],
% 164.64/164.99 [refute_0_750, refute_0_747])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_752, plain,
% 164.64/164.99 (greater_equal(0,
% 164.64/164.99 '==>'('==>'(add(X_1424, X_1423), X_1422),
% 164.64/164.99 '==>'(add(X_1423, X_1424), X_1422)))),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_751 :
% 164.64/164.99 [bind(X_1215, $fot(X_1422)), bind(X_1216, $fot(X_1423)),
% 164.64/164.99 bind(X_1217, $fot(X_1424))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_753, plain,
% 164.64/164.99 ('==>'('==>'(add(X_1424, X_1423), X_1422),
% 164.64/164.99 '==>'(add(X_1423, X_1424), X_1422)) = 0),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf(greater_equal(0,
% 164.64/164.99 '==>'('==>'(add(X_1424, X_1423), X_1422),
% 164.64/164.99 '==>'(add(X_1423, X_1424), X_1422))))],
% 164.64/164.99 [refute_0_752, refute_0_746])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_754, plain,
% 164.64/164.99 ('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)) = 0),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_753 :
% 164.64/164.99 [bind(X_1422, $fot(X_2647)), bind(X_1423, $fot(X_2648)),
% 164.64/164.99 bind(X_1424, $fot(X_2649))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_755, plain,
% 164.64/164.99 ('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)) != 0 |
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/164.99 '==>'('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649),
% 164.64/164.99 X_2647), '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)))), [1, 0],
% 164.64/164.99 $fot(0)]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_756, plain,
% 164.64/164.99 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/164.99 '==>'('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)), 0))],
% 164.64/164.99 [refute_0_754, refute_0_755])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_757, plain,
% 164.64/164.99 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'('==>'('==>'(add(X_2649, X_2648), X_2647),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/164.99 '==>'(add(X_2648, X_2649), X_2647))))],
% 164.64/164.99 [refute_0_745, refute_0_756])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_758, plain,
% 164.64/164.99 ('==>'(0, '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_138 :
% 164.64/164.99 [bind(X_309, $fot('==>'(add(X_2649, X_2648), X_2647)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_759, plain,
% 164.64/164.99 ('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) = 0),
% 164.64/164.99 inference(subst, [],
% 164.64/164.99 [refute_0_753 :
% 164.64/164.99 [bind(X_1422, $fot(X_2647)), bind(X_1423, $fot(X_2649)),
% 164.64/164.99 bind(X_1424, $fot(X_2648))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_760, plain,
% 164.64/164.99 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [refl,
% 164.64/164.99 [$fot('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)))]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_761, plain,
% 164.64/164.99 ('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) != 0 |
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) |
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'(0, '==>'(add(X_2649, X_2648), X_2647))),
% 164.64/164.99 introduced(tautology,
% 164.64/164.99 [equality,
% 164.64/164.99 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649),
% 164.64/164.99 X_2647), '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)))), [1, 0],
% 164.64/164.99 $fot(0)]])).
% 164.64/164.99
% 164.64/164.99 cnf(refute_0_762, plain,
% 164.64/164.99 ('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) != 0 |
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/164.99 '==>'(0, '==>'(add(X_2649, X_2648), X_2647))),
% 164.64/164.99 inference(resolve,
% 164.64/164.99 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/164.99 '==>'(add(X_2649, X_2648), X_2647))))],
% 164.64/164.99 [refute_0_760, refute_0_761])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_763, plain,
% 164.64/165.00 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/165.00 '==>'(0, '==>'(add(X_2649, X_2648), X_2647))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)), 0))],
% 164.64/165.00 [refute_0_759, refute_0_762])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_764, plain,
% 164.64/165.00 ('==>'(0, '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) |
% 164.64/165.00 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(0, '==>'(add(X_2649, X_2648), X_2647)) |
% 164.64/165.00 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_151 :
% 164.64/165.00 [bind(X,
% 164.64/165.00 $fot('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)))),
% 164.64/165.00 bind(Y,
% 164.64/165.00 $fot('==>'(0, '==>'(add(X_2649, X_2648), X_2647)))),
% 164.64/165.00 bind(Z, $fot('==>'(add(X_2649, X_2648), X_2647)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_765, plain,
% 164.64/165.00 ('==>'(0, '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) |
% 164.64/165.00 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(0, '==>'(add(X_2649, X_2648), X_2647))))],
% 164.64/165.00 [refute_0_763, refute_0_764])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_766, plain,
% 164.64/165.00 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) =
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(0, '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)))],
% 164.64/165.00 [refute_0_758, refute_0_765])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_767, plain,
% 164.64/165.00 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) |
% 164.64/165.00 '==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) =
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649),
% 164.64/165.00 X_2647), '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)))),
% 164.64/165.00 [0], $fot('==>'(add(X_2649, X_2648), X_2647))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_768, plain,
% 164.64/165.00 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) =
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)))],
% 164.64/165.00 [refute_0_766, refute_0_767])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_769, plain,
% 164.64/165.00 ('==>'(0, '==>'(add(X_2648, X_2649), X_2647)) =
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_138 :
% 164.64/165.00 [bind(X_309, $fot('==>'(add(X_2648, X_2649), X_2647)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_770, plain,
% 164.64/165.00 ('==>'(add(X_2649, X_2648), X_2647) !=
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)) !=
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647) |
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) =
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf(~ $equal('==>'(add(X_2649, X_2648), X_2647),
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647))), [0],
% 164.64/165.00 $fot('==>'(0, '==>'(add(X_2648, X_2649), X_2647)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_771, plain,
% 164.64/165.00 ('==>'(add(X_2649, X_2648), X_2647) !=
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) =
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(0, '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)))],
% 164.64/165.00 [refute_0_769, refute_0_770])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_772, plain,
% 164.64/165.00 ('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)) !=
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647)) |
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647) =
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add(X_2649, X_2648), X_2647),
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))))],
% 164.64/165.00 [refute_0_768, refute_0_771])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_773, plain,
% 164.64/165.00 ('==>'(add(X_2649, X_2648), X_2647) =
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'('==>'(add(X_2648, X_2649), X_2647),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 '==>'(0, '==>'(add(X_2648, X_2649), X_2647))))],
% 164.64/165.00 [refute_0_757, refute_0_772])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_774, plain,
% 164.64/165.00 ('==>'(add(X_2649, X_2648), X_2647) !=
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647) |
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647) =
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_42 :
% 164.64/165.00 [bind(X, $fot('==>'(add(X_2649, X_2648), X_2647))),
% 164.64/165.00 bind(Y, $fot('==>'(add(X_2648, X_2649), X_2647)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_775, plain,
% 164.64/165.00 ('==>'(add(X_2648, X_2649), X_2647) =
% 164.64/165.00 '==>'(add(X_2649, X_2648), X_2647)),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add(X_2649, X_2648), X_2647),
% 164.64/165.00 '==>'(add(X_2648, X_2649), X_2647)))],
% 164.64/165.00 [refute_0_773, refute_0_774])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_776, plain,
% 164.64/165.00 ('==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/165.00 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_775 :
% 164.64/165.00 [bind(X_2647, $fot(add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/165.00 bind(X_2648, $fot('==>'(X_1112, X_2814))),
% 164.64/165.00 bind(X_2649, $fot(add(X_1112, 0)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_777, plain,
% 164.64/165.00 ('==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) !=
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) |
% 164.64/165.00 '==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) !=
% 164.64/165.00 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) |
% 164.64/165.00 '==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_151 :
% 164.64/165.00 [bind(X,
% 164.64/165.00 $fot('==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))))),
% 164.64/165.00 bind(Y,
% 164.64/165.00 $fot('==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))))),
% 164.64/165.00 bind(Z,
% 164.64/165.00 $fot('==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_778, plain,
% 164.64/165.00 ('==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) !=
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) |
% 164.64/165.00 '==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add('==>'(X_1112, X_2814),
% 164.64/165.00 add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))),
% 164.64/165.00 '==>'(add(add(X_1112, 0), '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))))],
% 164.64/165.00 [refute_0_776, refute_0_777])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_779, plain,
% 164.64/165.00 ('==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) =
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add(add(X_1112, 0),
% 164.64/165.00 '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))),
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))))],
% 164.64/165.00 [refute_0_744, refute_0_778])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_780, plain,
% 164.64/165.00 ('==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) != 0 |
% 164.64/165.00 '==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) !=
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) |
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf($equal('==>'(add('==>'(X_1112, X_2814),
% 164.64/165.00 add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))), 0)), [0],
% 164.64/165.00 $fot('==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_781, plain,
% 164.64/165.00 ('==>'(add('==>'(X_1112, X_2814), add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) != 0 |
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add('==>'(X_1112, X_2814),
% 164.64/165.00 add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))),
% 164.64/165.00 '==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112)))))],
% 164.64/165.00 [refute_0_779, refute_0_780])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_782, plain,
% 164.64/165.00 ('==>'(add(X_1112, '==>'(X_1112, X_2814)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))) = 0),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add('==>'(X_1112, X_2814),
% 164.64/165.00 add(X_1112, 0)),
% 164.64/165.00 add(X_2814, '==>'(X_2814, X_1112))), 0))],
% 164.64/165.00 [refute_0_731, refute_0_781])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_783, plain,
% 164.64/165.00 ('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))) = 0),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_782 :
% 164.64/165.00 [bind(X_1112, $fot(X_2837)), bind(X_2814, $fot(X_2838))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_784, plain,
% 164.64/165.00 ('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))) != 0 |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838,
% 164.64/165.00 '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))))), [1, 0],
% 164.64/165.00 $fot(0)]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_785, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))), 0))],
% 164.64/165.00 [refute_0_783, refute_0_784])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_786, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'('==>'(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837)))))],
% 164.64/165.00 [refute_0_2, refute_0_785])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_787, plain,
% 164.64/165.00 ('==>'(0, add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_138 :
% 164.64/165.00 [bind(X_309, $fot(add(X_2837, '==>'(X_2837, X_2838))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_788, plain,
% 164.64/165.00 ('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) = 0),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_782 :
% 164.64/165.00 [bind(X_1112, $fot(X_2838)), bind(X_2814, $fot(X_2837))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_789, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [refl,
% 164.64/165.00 [$fot('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_790, plain,
% 164.64/165.00 ('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) != 0 |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'(0, add(X_2837, '==>'(X_2837, X_2838)))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838,
% 164.64/165.00 '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))))), [1, 0],
% 164.64/165.00 $fot(0)]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_791, plain,
% 164.64/165.00 ('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) != 0 |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'(0, add(X_2837, '==>'(X_2837, X_2838)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)))))],
% 164.64/165.00 [refute_0_789, refute_0_790])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_792, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 '==>'(0, add(X_2837, '==>'(X_2837, X_2838)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))), 0))],
% 164.64/165.00 [refute_0_788, refute_0_791])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_793, plain,
% 164.64/165.00 ('==>'(0, add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'(0, add(X_2837, '==>'(X_2837, X_2838))) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_151 :
% 164.64/165.00 [bind(X,
% 164.64/165.00 $fot('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))))),
% 164.64/165.00 bind(Y,
% 164.64/165.00 $fot('==>'(0, add(X_2837, '==>'(X_2837, X_2838))))),
% 164.64/165.00 bind(Z, $fot(add(X_2837, '==>'(X_2837, X_2838))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_794, plain,
% 164.64/165.00 ('==>'(0, add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'(0, add(X_2837, '==>'(X_2837, X_2838)))))],
% 164.64/165.00 [refute_0_792, refute_0_793])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_795, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) =
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(0, add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))))],
% 164.64/165.00 [refute_0_787, refute_0_794])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_796, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) |
% 164.64/165.00 '==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) =
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838,
% 164.64/165.00 '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))))),
% 164.64/165.00 [0], $fot(add(X_2837, '==>'(X_2837, X_2838)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_797, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) =
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))))],
% 164.64/165.00 [refute_0_795, refute_0_796])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_798, plain,
% 164.64/165.00 ('==>'(0, add(X_2838, '==>'(X_2838, X_2837))) =
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_138 :
% 164.64/165.00 [bind(X_309, $fot(add(X_2838, '==>'(X_2838, X_2837))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_799, plain,
% 164.64/165.00 (add(X_2837, '==>'(X_2837, X_2838)) !=
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))) !=
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837)) |
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) =
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf(~ $equal(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837)))), [0],
% 164.64/165.00 $fot('==>'(0, add(X_2838, '==>'(X_2838, X_2837))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_800, plain,
% 164.64/165.00 (add(X_2837, '==>'(X_2837, X_2838)) !=
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) =
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'(0, add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))))],
% 164.64/165.00 [refute_0_798, refute_0_799])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_801, plain,
% 164.64/165.00 ('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))) !=
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837))) |
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838)) =
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))))],
% 164.64/165.00 [refute_0_797, refute_0_800])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_802, plain,
% 164.64/165.00 (add(X_2837, '==>'(X_2837, X_2838)) =
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal('==>'('==>'(add(X_2838, '==>'(X_2838, X_2837)),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 '==>'(0, add(X_2838, '==>'(X_2838, X_2837)))))],
% 164.64/165.00 [refute_0_786, refute_0_801])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_803, plain,
% 164.64/165.00 (add(X_2837, '==>'(X_2837, X_2838)) !=
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837)) |
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837)) =
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_42 :
% 164.64/165.00 [bind(X, $fot(add(X_2837, '==>'(X_2837, X_2838)))),
% 164.64/165.00 bind(Y, $fot(add(X_2838, '==>'(X_2838, X_2837))))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_804, plain,
% 164.64/165.00 (add(X_2838, '==>'(X_2838, X_2837)) =
% 164.64/165.00 add(X_2837, '==>'(X_2837, X_2838))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal(add(X_2837, '==>'(X_2837, X_2838)),
% 164.64/165.00 add(X_2838, '==>'(X_2838, X_2837))))],
% 164.64/165.00 [refute_0_802, refute_0_803])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_805, plain,
% 164.64/165.00 (add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)) =
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))),
% 164.64/165.00 inference(subst, [],
% 164.64/165.00 [refute_0_804 :
% 164.64/165.00 [bind(X_2837, $fot(skolemFOFtoCNF_X17)),
% 164.64/165.00 bind(X_2838, $fot(skolemFOFtoCNF_X18))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_806, plain,
% 164.64/165.00 (add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) |
% 164.64/165.00 add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)) !=
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) |
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) =
% 164.64/165.00 add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [equality,
% 164.64/165.00 [$cnf(~ $equal(add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)),
% 164.64/165.00 add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)))),
% 164.64/165.00 [1],
% 164.64/165.00 $fot(add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17,
% 164.64/165.00 skolemFOFtoCNF_X18)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_807, plain,
% 164.64/165.00 (add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) |
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) =
% 164.64/165.00 add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal(add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)),
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))))],
% 164.64/165.00 [refute_0_805, refute_0_806])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_808, plain,
% 164.64/165.00 (add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)),
% 164.64/165.00 add(skolemFOFtoCNF_X18,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))))],
% 164.64/165.00 [refute_0_807, refute_0_0])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_809, plain,
% 164.64/165.00 (add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) =
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))),
% 164.64/165.00 introduced(tautology,
% 164.64/165.00 [refl,
% 164.64/165.00 [$fot(add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17,
% 164.64/165.00 skolemFOFtoCNF_X18)))]])).
% 164.64/165.00
% 164.64/165.00 cnf(refute_0_810, plain, ($false),
% 164.64/165.00 inference(resolve,
% 164.64/165.00 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)),
% 164.64/165.00 add(skolemFOFtoCNF_X17,
% 164.64/165.00 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))))],
% 164.64/165.00 [refute_0_809, refute_0_808])).
% 164.64/165.00 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 164.64/165.00
%------------------------------------------------------------------------------