%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP657-10 : TPTP v9.2.1. Released v8.1.0.
% 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 : n008.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 04:26:46 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 5 RR)
% Number of literals : 19 ( 18 equ; 4 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 : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f05,axiom,
mult(mult(X1,X2),mult(X3,X1)) = mult(X1,mult(mult(X2,X3),X1)),
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(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(goal,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_5,axiom,
mult(mult(X1,X2),mult(X3,X1)) = mult(X1,mult(mult(X2,X3),X1)),
f05 ).
cnf(c_0_6,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_7,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_8,plain,
mult(X1,mult(mult(ld(X1,X2),X3),X1)) = mult(X2,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_10,plain,
mult(mult(ld(X1,X2),X3),X1) = ld(X1,mult(X2,mult(X3,X1))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
rd(ld(X1,mult(X2,mult(X3,X1))),X1) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
goal ).
cnf(c_0_13,plain,
mult(ld(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_7]),c_0_9]) ).
cnf(c_0_14,negated_conjecture,
tuple(x1(ld(X1,X1)),mult(x1_2(ld(X1,X1)),ld(X1,X1))) != tuple(x1(ld(X1,X1)),x1_2(ld(X1,X1))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
rd(X1,X1) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
tuple(x1(rd(X1,X1)),mult(x1_2(rd(X1,X1)),rd(X1,X1))) != tuple(x1(rd(X1,X1)),x1_2(rd(X1,X1))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
mult(X1,rd(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
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
% 0.00/0.12 % Problem : GRP657-10 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.12 % 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
% 0.15/0.32 % Computer : n008.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 : Mon May 4 18:59:28 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------