%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CAT002-4 : TPTP v9.2.1. Released v1.0.0.
% 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 : 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 04:11:37 PM UTC 2026
% Result : Unsatisfiable 1.12s 1.85s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 29 ( 28 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cancellation_for_compose1,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
cnf(ab_h_equals_ab_g,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
cnf(associativity_of_compose,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(cancellation_for_compose2,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(c_0_5,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
cancellation_for_compose1 ).
cnf(c_0_6,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
ab_h_equals_ab_g ).
cnf(c_0_7,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
associativity_of_compose ).
cnf(c_0_8,hypothesis,
( X1 = X2
| compose(a,X1) != compose(a,X2) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
compose(a,compose(b,g)) = compose(a,compose(b,h)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_10,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
cancellation_for_compose2 ).
cnf(c_0_11,hypothesis,
( compose(b,g) = X1
| compose(a,compose(b,h)) != compose(a,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,hypothesis,
( X1 = X2
| compose(b,X1) != compose(b,X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_13,hypothesis,
compose(b,g) = compose(b,h),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_14,hypothesis,
( g = X1
| compose(b,h) != compose(b,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
g != h,
prove_g_equals_h ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.21 % Problem : CAT002-4 : TPTP v9.2.1. Released v1.0.0.
% 0.02/0.21 % 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
% 0.10/0.42 % Computer : n013.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8042.1875MB
% 0.10/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Tue May 5 10:46:56 EDT 2026
% 0.10/0.43 % CPUTime :
% 0.13/0.46 % start to proof: theBenchmark
% 1.12/1.85 % Version : CSE_E---1.7
% 1.12/1.85 % Problem : theBenchmark.p
% 1.12/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.85 % SZS output start CNFRefutation
% See solution above
% 1.12/1.85 % Total time : 1.390s
%------------------------------------------------------------------------------