TSTP Solution File: SET077-7 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET077-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n014.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 : 600s
% DateTime : Tue Jul 19 00:57:28 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_singletons_are_sets_1,negated_conjecture,
~ member(singleton(x),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singletons_are_sets_1) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(c_0_3,negated_conjecture,
~ member(singleton(x),universal_class),
prove_singletons_are_sets_1 ).
cnf(c_0_4,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_5,negated_conjecture,
~ member(unordered_pair(x,x),universal_class),
inference(rw,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,axiom,
member(unordered_pair(X1,X2),universal_class),
unordered_pairs_in_universal ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET077-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 04:21:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38 # No SInE strategy applied
% 0.12/0.38 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.12/0.38 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.38 #
% 0.12/0.38 # Presaturation interreduction done
% 0.12/0.38
% 0.12/0.38 # Proof found!
% 0.12/0.38 # SZS status Unsatisfiable
% 0.12/0.38 # SZS output start CNFRefutation
% See solution above
% 0.12/0.38 # Training examples: 0 positive, 0 negative
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