%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET094-7 : 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 : n022.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 05:07:16 PM UTC 2026
% Result : Unsatisfiable 1.77s 1.89s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 11 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(only_member_in_singleton,axiom,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_property_of_singletons1_1,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).
cnf(prove_property_of_singletons1_2,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).
cnf(prove_property_of_singletons1_3,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).
cnf(c_0_5,axiom,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
only_member_in_singleton ).
cnf(c_0_6,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_7,negated_conjecture,
singleton(member_of(x)) = x,
prove_property_of_singletons1_1 ).
cnf(c_0_8,plain,
( X1 = X2
| ~ member(X1,unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
unordered_pair(member_of(x),member_of(x)) = x,
inference(rw,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( X1 = member_of(x)
| ~ member(X1,x) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
member(y,x),
prove_property_of_singletons1_2 ).
cnf(c_0_12,negated_conjecture,
member_of(x) != y,
prove_property_of_singletons1_3 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET094-7 : 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 : n022.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 02:10:21 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.77/1.89 % Version : CSE_E---1.7
% 1.77/1.89 % Problem : theBenchmark.p
% 1.77/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 1.77/1.89 % SZS output start CNFRefutation
% See solution above
% 1.87/1.90 % Total time : 1.368s
%------------------------------------------------------------------------------