%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP750-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 04:27:12 PM UTC 2026
% Result : Unsatisfiable 19.79s 12.32s
% Output : CNFRefutation 19.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f06,axiom,
mult(mult(X1,X2),mult(X3,X3)) = mult(mult(X1,X3),mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(f05,axiom,
mult(mult(X1,mult(X1,X1)),mult(X2,X3)) = mult(mult(X1,X2),mult(mult(X1,X1),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(goals,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_5,axiom,
mult(mult(X1,X2),mult(X3,X3)) = mult(mult(X1,X3),mult(X2,X3)),
f06 ).
cnf(c_0_6,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_7,axiom,
mult(mult(X1,mult(X1,X1)),mult(X2,X3)) = mult(mult(X1,X2),mult(mult(X1,X1),X3)),
f05 ).
cnf(c_0_8,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_9,plain,
mult(mult(X1,X2),mult(mult(X3,X3),mult(X4,X4))) = mult(mult(X1,mult(X3,X4)),mult(X2,mult(X3,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_10,plain,
ld(mult(X1,X2),mult(mult(X1,mult(X1,X1)),mult(X2,X3))) = mult(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
mult(mult(X1,X2),mult(ld(X1,X3),X2)) = mult(X3,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_12,plain,
ld(mult(X1,mult(X2,X3)),mult(mult(X1,X4),mult(mult(X2,X2),mult(X3,X3)))) = mult(X4,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_13,plain,
ld(mult(X1,X2),mult(mult(X1,mult(X1,X1)),X3)) = mult(mult(X1,X1),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_14,plain,
ld(mult(X1,X2),mult(X3,mult(X2,X2))) = mult(ld(X1,X3),X2),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
cnf(c_0_15,plain,
mult(mult(X1,X1),mult(ld(X1,X2),X3)) = mult(X2,mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_7]),c_0_13]),c_0_14]) ).
cnf(c_0_16,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
goals ).
cnf(c_0_17,plain,
mult(mult(X1,X1),mult(X2,X3)) = mult(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP750-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 14:04:26 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 19.79/12.32 % Version : CSE_E---1.7
% 19.79/12.32 % Problem : theBenchmark.p
% 19.79/12.32 % SZS status Unsatisfiable for theBenchmark.p
% 19.79/12.32 % SZS output start CNFRefutation
% See solution above
% 19.89/12.40 % Total time : 9.367s
%------------------------------------------------------------------------------