%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP508-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Thu Sep 24 12:40:08 PM UTC 2026
% Result : Unsatisfiable 67.68s 24.10s
% Output : CNFRefutation 67.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 5 RR)
% Number of literals : 60 ( 59 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 37 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 250 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(c_0_2,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
single_axiom ).
cnf(c_0_3,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),inverse(X6)) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),X7),inverse(X7)) = multiply(X5,inverse(inverse(X6))),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,inverse(X3)),inverse(inverse(X3))),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X4) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(X3,multiply(multiply(X4,X5),inverse(X5))),inverse(X6))),multiply(multiply(X3,X7),inverse(X7))))),X6) = X4,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X7),inverse(X7)) = multiply(X5,X4),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_4]) ).
cnf(c_0_12,plain,
multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(multiply(X1,X3),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4,
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_15,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_4]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(a,a)),multiply(a,a))),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X3,inverse(a))))))),multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),inverse(multiply(X6,inverse(multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(X3,inverse(X8)))))))))))),X9) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a,a)),multiply(a,a))),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X6,inverse(a))))))),X9),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_3]) ).
cnf(c_0_17,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,plain,
multiply(X1,multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3)))))) = multiply(X1,multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X4,inverse(a)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_16]),c_0_4]) ).
cnf(c_0_19,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,inverse(X2))))) = multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X3,inverse(a))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]) ).
cnf(c_0_20,plain,
multiply(inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),X3)),multiply(multiply(X1,X4),inverse(X4))) = multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X2,inverse(a))))),
inference(spm,[status(thm)],[c_0_19,c_0_7]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(multiply(X1,multiply(multiply(X2,X3),inverse(X3))),X4)),multiply(multiply(X1,X5),inverse(X5))) = multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(multiply(X2,X4),inverse(a))))),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_22,plain,
multiply(inverse(X1),X1) = multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),inverse(a))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_4]),c_0_4]) ).
cnf(c_0_23,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_22,c_0_22]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(inverse(X1),X1)),multiply(multiply(X2,X3),inverse(X3))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_23]) ).
cnf(c_0_25,plain,
multiply(multiply(multiply(inverse(multiply(inverse(X1),X1)),X2),X3),inverse(X3)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_24]),c_0_15]) ).
cnf(c_0_26,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_15]),c_0_4]) ).
cnf(c_0_27,plain,
multiply(multiply(multiply(inverse(X1),X1),X2),inverse(X2)) = multiply(inverse(X3),X3),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_28,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(multiply(X5,X6),inverse(X6)),inverse(X4))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_29,plain,
multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))) = multiply(multiply(X2,X3),inverse(X3)),
inference(spm,[status(thm)],[c_0_7,c_0_26]) ).
cnf(c_0_30,plain,
multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
multiply(multiply(inverse(X1),a),inverse(a)) = inverse(inverse(inverse(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_29]) ).
cnf(c_0_32,plain,
multiply(multiply(X1,a),inverse(a)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_31,c_0_28]) ).
cnf(c_0_33,plain,
multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_7,c_0_32]) ).
cnf(c_0_34,plain,
inverse(inverse(multiply(inverse(X1),X1))) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_23]) ).
cnf(c_0_35,plain,
inverse(multiply(inverse(a),a)) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_34]),c_0_30]),c_0_34]),c_0_34]) ).
cnf(c_0_36,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_37,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_36]),c_0_33]),c_0_33]),c_0_33]),c_0_33]),c_0_36]),c_0_33]),c_0_33]),c_0_33]),c_0_33]),c_0_30]),c_0_36]),c_0_36]),c_0_33]),c_0_30]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,inverse(X2))))) = multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_39,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) = multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5)))),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_40,plain,
multiply(multiply(X1,inverse(inverse(inverse(X2)))),X2) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_41,plain,
multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_33,c_0_33]) ).
cnf(c_0_42,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,inverse(X2))))) = multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_15]) ).
cnf(c_0_43,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_36]),c_0_34]),c_0_30]),c_0_34]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(multiply(X7,inverse(inverse(multiply(multiply(X8,inverse(X9)),inverse(X10))))),inverse(X6))))))),X10)),X7))),X9) = X8,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_45,plain,
multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37]) ).
cnf(c_0_46,plain,
inverse(inverse(multiply(X1,inverse(multiply(X2,X1))))) = multiply(inverse(X2),multiply(inverse(a),a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_36]),c_0_37]),c_0_30]),c_0_33]),c_0_43]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X7,inverse(X6))))))),X8)),inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X10,X9))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a,a)),multiply(a,a))),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X11,inverse(a))))))),multiply(multiply(X7,inverse(inverse(inverse(multiply(multiply(X12,inverse(X13)),inverse(X8)))))),inverse(X14))),X14)),X11)))))),X13) = X12,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_44]),c_0_3]) ).
cnf(c_0_48,plain,
multiply(multiply(X1,multiply(inverse(a),a)),multiply(inverse(X2),X2)) = inverse(inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_34]) ).
cnf(c_0_49,plain,
multiply(multiply(inverse(X1),multiply(inverse(a),a)),multiply(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X6,X5))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12)),inverse(multiply(inverse(multiply(inverse(multiply(X13,X14)),multiply(X14,X13))),multiply(inverse(multiply(multiply(inverse(inverse(inverse(multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X15,inverse(a)))))))),multiply(multiply(X11,inverse(inverse(inverse(multiply(multiply(X16,inverse(inverse(multiply(multiply(X17,inverse(inverse(multiply(multiply(X18,inverse(X19)),inverse(X20))))),inverse(X21))))),inverse(X12)))))),inverse(X22))),X22)),X15)))))),X21)),X16))),X20)),X17))),X19) = X18,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_47]),c_0_23]),c_0_36]),c_0_30]) ).
cnf(c_0_51,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X6,X5))),multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(X9,inverse(X8))))))),X10)),inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X12,X11))),multiply(inverse(multiply(multiply(inverse(inverse(inverse(multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X13,inverse(a)))))))),multiply(multiply(X9,inverse(inverse(inverse(multiply(multiply(X14,inverse(inverse(multiply(multiply(X15,inverse(X16)),inverse(X17))))),inverse(X10)))))),inverse(X18))),X18)),X13)))))),X17)),X14))),X16) = X15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_47]),c_0_23]),c_0_36]),c_0_30]) ).
cnf(c_0_52,plain,
inverse(multiply(X1,multiply(inverse(X2),X2))) = multiply(inverse(X1),multiply(inverse(a),a)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_30]),c_0_37]) ).
cnf(c_0_53,plain,
multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_48,c_0_23]) ).
cnf(c_0_54,negated_conjecture,
multiply(a,b) != multiply(b,a),
inference(fof_simplification,[status(thm)],[prove_these_axioms_4]) ).
cnf(c_0_55,plain,
multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),multiply(X1,X3)) = X3,
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_56,plain,
multiply(inverse(multiply(X1,X2)),multiply(X2,X1)) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_33]),c_0_43]),c_0_30]),c_0_37]),c_0_51]),c_0_52]),c_0_43]),c_0_53]),c_0_37]),c_0_33]),c_0_43]) ).
cnf(c_0_57,negated_conjecture,
multiply(a,b) != multiply(b,a),
c_0_54 ).
cnf(c_0_58,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_53]),c_0_37]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP508-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n017.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sun Sep 20 20:10:53 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.68/24.10 % Version: 3.5.1
% 67.68/24.10 % Preprocessing class: FSSSSMSSSSSNFFN.
% 67.68/24.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 67.68/24.10 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 67.68/24.10 % Starting new_bool_3 with 300s (1) cores
% 67.68/24.10 % Starting new_bool_1 with 300s (1) cores
% 67.68/24.10 % Starting sh5l with 300s (1) cores
% 67.68/24.10 % new_bool_3 with pid 534499 completed with status 9
% 67.68/24.10 % new_bool_1 with pid 534500 completed with status 9
% 67.68/24.10 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 534498 completed with status 0
% 67.68/24.10 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 67.68/24.10 % Preprocessing class: FSSSSMSSSSSNFFN.
% 67.68/24.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 67.68/24.10 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 67.68/24.10 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 67.68/24.10 % No SInE strategy applied
% 67.68/24.10 % Search class: FUUPF-FFSF21-DFFFFFNN
% 67.68/24.10 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 67.68/24.10 % Starting SubtermCWHack with 136s (1) cores
% 67.68/24.10 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 67.68/24.10 % Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 67.68/24.10 % Starting new_bool_3 with 136s (1) cores
% 67.68/24.10 % Starting new_bool_1 with 136s (1) cores
% 67.68/24.10 % U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 534504 completed with status 0
% 67.68/24.10 % Result found by U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 67.68/24.10 % Preprocessing class: FSSSSMSSSSSNFFN.
% 67.68/24.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 67.68/24.10 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 67.68/24.10 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 67.68/24.10 % No SInE strategy applied
% 67.68/24.10 % Search class: FUUPF-FFSF21-DFFFFFNN
% 67.68/24.10 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 67.68/24.10 % Starting SubtermCWHack with 136s (1) cores
% 67.68/24.10 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 67.68/24.10 % Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 67.68/24.10 % Preprocessing time : 0.001 s
% 67.68/24.10 % Presaturation interreduction done
% 67.68/24.10
% 67.68/24.10 % Proof found!
% 67.68/24.10 % SZS status Unsatisfiable
% 67.68/24.10 % SZS output start CNFRefutation
% See solution above
% 67.68/24.10 % Parsed axioms : 2
% 67.68/24.10 % Removed by relevancy pruning/SinE : 0
% 67.68/24.10 % Initial clauses : 2
% 67.68/24.10 % Removed in clause preprocessing : 0
% 67.68/24.10 % Initial clauses in saturation : 2
% 67.68/24.10 % Processed clauses : 3227
% 67.68/24.10 % ...of these trivial : 463
% 67.68/24.10 % ...subsumed : 2521
% 67.68/24.10 % ...remaining for further processing : 243
% 67.68/24.10 % Other redundant clauses eliminated : 0
% 67.68/24.10 % Clauses deleted for lack of memory : 0
% 67.68/24.10 % Backward-subsumed : 13
% 67.68/24.10 % Backward-rewritten : 163
% 67.68/24.10 % Generated clauses : 272537
% 67.68/24.10 % ...of the previous two non-redundant : 262412
% 67.68/24.10 % ...aggressively subsumed : 0
% 67.68/24.10 % Contextual simplify-reflections : 0
% 67.68/24.10 % Paramodulations : 272537
% 67.68/24.10 % Factorizations : 0
% 67.68/24.10 % NegExts : 0
% 67.68/24.10 % Equation resolutions : 0
% 67.68/24.10 % Disequality decompositions : 0
% 67.68/24.10 % Total rewrite steps : 251016
% 67.68/24.10 % ...of those cached : 227011
% 67.68/24.10 % Propositional unsat checks : 0
% 67.68/24.10 % Propositional check models : 0
% 67.68/24.10 % Propositional check unsatisfiable : 0
% 67.68/24.10 % Propositional clauses : 0
% 67.68/24.10 % Propositional clauses after purity: 0
% 67.68/24.10 % Propositional unsat core size : 0
% 67.68/24.10 % Propositional preprocessing time : 0.000
% 67.68/24.10 % Propositional encoding time : 0.000
% 67.68/24.10 % Propositional solver time : 0.000
% 67.68/24.10 % Success case prop preproc time : 0.000
% 67.68/24.10 % Success case prop encoding time : 0.000
% 67.68/24.10 % Success case prop solver time : 0.000
% 67.68/24.10 % Current number of processed clauses : 65
% 67.68/24.10 % Positive orientable unit clauses : 37
% 67.68/24.10 % Positive unorientable unit clauses: 28
% 67.68/24.10 % Negative unit clauses : 0
% 67.68/24.10 % Non-unit-clauses : 0
% 67.68/24.10 % Current number of unprocessed clauses: 257088
% 67.68/24.10 % ...number of literals in the above : 257088
% 67.68/24.10 % Current number of archived formulas : 0
% 67.68/24.10 % Current number of archived clauses : 178
% 67.68/24.10 % Clause-clause subsumption calls (NU) : 0
% 67.68/24.10 % Rec. Clause-clause subsumption calls : 0
% 67.68/24.10 % Non-unit clause-clause subsumptions : 0
% 67.68/24.10 % Unit Clause-clause subsumption calls : 1824
% 67.68/24.10 % Rewrite failures with RHS unbound : 0
% 67.68/24.10 % BW rewrite match attempts : 8445
% 67.68/24.10 % BW rewrite match successes : 929
% 67.68/24.10 % Condensation attempts : 0
% 67.68/24.10 % Condensation successes : 0
% 67.68/24.10 % Termbank termtop insertions : 24029918
% 67.68/24.10 % Search garbage collected termcells : 2
% 67.68/24.10
% 67.68/24.10 % -------------------------------------------------
% 67.68/24.10 % User time : 12.882 s
% 67.68/24.10 % System time : 0.456 s
% 67.68/24.10 % Total time : 13.338 s
% 67.68/24.10 % Maximum resident set size: 3584 pages
% 67.68/24.10
% 67.68/24.10 % -------------------------------------------------
% 67.68/24.10 % User time : 65.397 s
% 67.68/24.10 % System time : 2.168 s
% 67.68/24.10 % Total time : 67.565 s
% 67.68/24.10 % Maximum resident set size: 4864 pages
% 67.68/24.10 % E exiting
%------------------------------------------------------------------------------