%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG236-1 : TPTP v9.2.1. Released v4.0.0.
% 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 : n024.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 04:08:21 PM UTC 2026
% Result : Unsatisfiable 8.95s 5.86s
% Output : CNFRefutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 4 RR)
% Number of literals : 28 ( 27 equ; 3 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c02,axiom,
mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c01,axiom,
mult(X1,mult(X2,mult(X1,X2))) = mult(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c03,axiom,
mult(mult(X1,mult(X2,mult(X3,X2))),X4) = mult(X1,mult(X4,mult(mult(X3,X2),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_4,axiom,
mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))),
c02 ).
cnf(c_0_5,axiom,
mult(X1,mult(X2,mult(X1,X2))) = mult(X1,X2),
c01 ).
cnf(c_0_6,plain,
mult(X1,mult(X2,mult(X3,mult(X2,X1)))) = mult(X3,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
mult(mult(X1,mult(X2,mult(X3,X2))),X4) = mult(X1,mult(X4,mult(mult(X3,X2),X4))),
c03 ).
cnf(c_0_8,plain,
mult(X1,mult(X2,mult(mult(X1,X2),X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_5]),c_0_4]) ).
cnf(c_0_9,plain,
mult(X1,mult(X2,mult(mult(X1,X3),X2))) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_7,c_0_5]) ).
cnf(c_0_10,plain,
mult(X1,mult(X2,mult(X3,mult(X4,X5)))) = mult(X3,mult(X4,mult(X1,mult(X2,X5)))),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_11,plain,
mult(mult(X1,X2),X2) = mult(X1,X2),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
mult(X1,mult(X2,mult(X1,mult(X2,X3)))) = mult(X1,mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_10]),c_0_11]) ).
cnf(c_0_13,plain,
mult(X1,mult(X2,mult(X3,mult(X4,mult(X1,X2))))) = mult(X3,mult(X4,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
cnf(c_0_14,plain,
mult(mult(X1,X2),mult(X3,mult(X4,X2))) = mult(X4,mult(X3,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_4,c_0_11]) ).
cnf(c_0_15,plain,
mult(X1,mult(X2,mult(mult(X1,X3),mult(X2,X4)))) = mult(mult(X1,X3),mult(X2,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_11]) ).
cnf(c_0_16,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),X4) = mult(mult(X3,X2),mult(X4,mult(X1,X4))),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_17,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),X4) = mult(X3,mult(X4,mult(mult(X1,X2),X4))),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_18,plain,
mult(X1,mult(X2,mult(X3,mult(X2,mult(X4,mult(X5,X1)))))) = mult(X3,mult(X2,mult(X4,mult(X5,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
mult(X1,mult(X2,mult(mult(X1,X3),mult(X4,mult(X5,X2))))) = mult(mult(X1,X3),mult(X4,mult(X5,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_20,plain,
mult(X1,mult(X2,mult(X3,mult(X4,mult(X5,X6))))) = mult(X5,mult(X4,mult(X1,mult(X2,mult(X3,X6))))),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_21,plain,
mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(X1,mult(X3,mult(mult(X4,X2),X3))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
mult(X1,mult(X2,mult(X3,mult(X4,mult(mult(X1,X5),X4))))) = mult(mult(X3,X5),mult(X2,mult(X1,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_14]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
goals ).
cnf(c_0_24,plain,
mult(mult(X1,X2),mult(X3,mult(X4,X5))) = mult(X1,mult(X3,mult(mult(X4,X2),X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_22]),c_0_9]) ).
cnf(c_0_25,negated_conjecture,
mult(d,mult(c,mult(mult(a,b),e))) != mult(a,mult(c,mult(mult(d,b),e))),
inference(rw,[status(thm)],[c_0_23,c_0_4]) ).
cnf(c_0_26,plain,
mult(X1,mult(X2,mult(mult(X3,X4),X5))) = mult(X3,mult(X2,mult(mult(X1,X4),X5))),
inference(spm,[status(thm)],[c_0_4,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : ALG236-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % 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
% 0.08/0.25 % Computer : n024.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8042.1875MB
% 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Tue May 5 05:29:41 EDT 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 % start to proof: theBenchmark
% 8.95/5.86 % Version : CSE_E---1.7
% 8.95/5.86 % Problem : theBenchmark.p
% 8.95/5.86 % SZS status Unsatisfiable for theBenchmark.p
% 8.95/5.86 % SZS output start CNFRefutation
% See solution above
% 9.05/5.90 % Total time : 4.363s
%------------------------------------------------------------------------------