%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Tue Sep 29 12:30:48 PM UTC 2026
% Result : Unsatisfiable 7.02s 1.33s
% Output : Proof 7.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.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 : Sun Sep 27 22:34:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.02/1.33 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 7.02/1.33
% 7.02/1.33 % SZS status Unsatisfiable
% 7.02/1.33
% 7.02/1.35 % SZS output start Proof
% 7.02/1.35 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 7.02/1.35 Axiom 2 (initial_configuration): state(p_5, p_4, p_3, p_2, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20) = true.
% 7.02/1.35 Axiom 3 (move_left): ifeq(state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3), true, state(Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3, X), true) = true.
% 7.02/1.35 Axiom 4 (flip): ifeq(state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3), true, state(W, Z, Y, X, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3), true) = true.
% 7.02/1.36 Axiom 5 (move_right): ifeq(state(X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3, W3), true, state(W3, X, Y, Z, W, V, U, T, S, X2, Y2, Z2, W2, V2, U2, T2, S2, X3, Y3, Z3), true) = true.
% 7.02/1.36
% 7.02/1.36 Goal 1 (make_like_this): state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20) = true.
% 7.02/1.36 Proof:
% 7.02/1.36 state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20)
% 7.02/1.36 = { by axiom 1 (ifeq_axiom) R->L }
% 7.02/1.36 ifeq(true, true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 5 (move_right) R->L }
% 7.02/1.36 ifeq(ifeq(state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 1 (ifeq_axiom) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(true, true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 3 (move_left) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 1 (ifeq_axiom) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 5 (move_right) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 1 (ifeq_axiom) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 3 (move_left) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(state(p_2, p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true, state(p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 1 (ifeq_axiom) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, state(p_2, p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 2 (initial_configuration) R->L }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(state(p_5, p_4, p_3, p_2, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true, state(p_2, p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.36 = { by axiom 4 (flip) }
% 7.02/1.36 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, state(p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 1 (ifeq_axiom) }
% 7.02/1.37 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(state(p_3, p_4, p_5, p_1, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true, state(p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_2), true), true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 4 (flip) }
% 7.02/1.37 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 1 (ifeq_axiom) }
% 7.02/1.37 ifeq(ifeq(ifeq(ifeq(ifeq(state(p_2, p_1, p_5, p_4, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true, state(p_4, p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 4 (flip) }
% 7.02/1.37 ifeq(ifeq(ifeq(ifeq(true, true, state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 1 (ifeq_axiom) }
% 7.02/1.37 ifeq(ifeq(ifeq(state(p_5, p_1, p_2, p_3, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true, state(p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20, p_4), true), true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 4 (flip) }
% 7.02/1.37 ifeq(ifeq(true, true, state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 1 (ifeq_axiom) }
% 7.02/1.37 ifeq(state(p_4, p_3, p_2, p_1, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true, state(p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8, p_9, p_10, p_11, p_12, p_13, p_14, p_15, p_16, p_17, p_18, p_19, p_20), true)
% 7.02/1.37 = { by axiom 4 (flip) }
% 7.02/1.37 true
% 7.02/1.37 % SZS output end Proof
% 7.02/1.37
% 7.02/1.37 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------