%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET558-6 : TPTP v9.2.1. Bugfixed v2.1.0.
% 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 : n026.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 05:08:00 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.74s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 16 ( 7 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(compatible2,axiom,
( domain_of(domain_of(X2)) = domain_of(X1)
| ~ compatible(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',compatible2) ).
cnf(prove_compatible_functions_alternate_defn1_2,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_2) ).
cnf(operation2,axiom,
( cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))) = domain_of(X1)
| ~ operation(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',operation2) ).
cnf(prove_compatible_functions_alternate_defn1_1,negated_conjecture,
operation(xf1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_1) ).
cnf(prove_compatible_functions_alternate_defn1_3,negated_conjecture,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_3) ).
cnf(c_0_5,axiom,
( domain_of(domain_of(X2)) = domain_of(X1)
| ~ compatible(X1,X2,X3) ),
compatible2 ).
cnf(c_0_6,negated_conjecture,
compatible(xh,xf1,xf2),
prove_compatible_functions_alternate_defn1_2 ).
cnf(c_0_7,axiom,
( cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))) = domain_of(X1)
| ~ operation(X1) ),
operation2 ).
cnf(c_0_8,negated_conjecture,
domain_of(domain_of(xf1)) = domain_of(xh),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
operation(xf1),
prove_compatible_functions_alternate_defn1_1 ).
cnf(c_0_10,negated_conjecture,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
prove_compatible_functions_alternate_defn1_3 ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET558-6 : TPTP v9.2.1. Bugfixed v2.1.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:27:53 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.32/1.74 % Version : CSE_E---1.7
% 1.32/1.74 % Problem : theBenchmark.p
% 1.32/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.74 % SZS output start CNFRefutation
% See solution above
% 1.32/1.74 % Total time : 1.372s
%------------------------------------------------------------------------------