%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : BOO068-1 : TPTP v9.2.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:11:24 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.76s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 3 RR)
% Number of literals : 24 ( 23 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 89 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_tba_axioms_2,negated_conjecture,
multiply(b,a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms_2) ).
cnf(c_0_2,axiom,
multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2,
single_axiom ).
cnf(c_0_3,plain,
multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,multiply(X5,multiply(X6,X7,X8),X9)),inverse(multiply(multiply(X9,X5,X8),X7,multiply(X9,X5,X6))),multiply(X3,X4,multiply(X10,inverse(X10),X11)))),multiply(X4,X11,X3)) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)) = multiply(X2,multiply(X3,inverse(multiply(X1,X2,X9)),X9),X1),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_5,plain,
multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5))),multiply(inverse(X3),X5,X3)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_2]) ).
cnf(c_0_6,plain,
multiply(inverse(X1),multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3),X1) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_7,plain,
multiply(inverse(X1),X2,X1) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_5]),c_0_2]) ).
cnf(c_0_8,plain,
multiply(X1,inverse(multiply(X2,inverse(X2),X3)),X3) = X1,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
inverse(multiply(X1,inverse(X1),X2)) = inverse(X2),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5))),X5) = X2,
inference(rw,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_11,plain,
multiply(X1,inverse(X2),X2) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
multiply(X1,inverse(X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_9]),c_0_11]) ).
cnf(c_0_13,plain,
multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(multiply(X3,X1,X5)),X5),X3),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_14,plain,
inverse(inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_15,plain,
multiply(multiply(X1,X2,X3),inverse(multiply(X4,X5,X6)),multiply(X5,multiply(X6,inverse(multiply(X4,X5,X7)),X7),X4)) = multiply(X2,multiply(X3,inverse(multiply(X1,X2,X8)),X8),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_13]),c_0_9]) ).
cnf(c_0_16,plain,
multiply(inverse(X1),X1,X2) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_17,plain,
multiply(X1,X2,inverse(X1)) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_18,plain,
multiply(X1,multiply(multiply(X2,X1,X3),inverse(multiply(X2,X1,X4)),X4),X2) = multiply(X1,X3,X2),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_19,plain,
multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X3,X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16]),c_0_11]),c_0_17]),c_0_11]) ).
cnf(c_0_20,plain,
multiply(X1,X2,multiply(X1,X2,X3)) = multiply(X2,X3,X1),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
multiply(b,a,a) != a,
prove_tba_axioms_2 ).
cnf(c_0_22,plain,
multiply(X1,X2,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_11]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO068-1 : TPTP v9.2.1. Released v2.6.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n013.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 10:45:56 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.35/1.76 % Version : CSE_E---1.7
% 1.35/1.76 % Problem : theBenchmark.p
% 1.35/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.76 % SZS output start CNFRefutation
% See solution above
% 1.35/1.76 % Total time : 1.370s
%------------------------------------------------------------------------------