%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 : Thu May 9 17:38:49 EDT 2024
% Result : Unsatisfiable 1.30s 1.47s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 5 unt; 4 nHn; 8 RR)
% Number of literals : 26 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_involution,negated_conjecture,
~ equal_sets(complement(complement(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_involution) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X30,X29),X29)
| subset(X30,X29) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(subsets_axiom1,axiom,
( subset(X20,X19)
| member(member_of_1_not_of_2(X20,X19),X20) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(member_of_set_or_complement,axiom,
( member(X28,X27)
| member(X28,complement(X27)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_set_or_complement) ).
cnf(not_member_of_set_and_complement,axiom,
( ~ member(X35,X34)
| ~ member(X35,complement(X34)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',not_member_of_set_and_complement) ).
cnf(c16,plain,
( ~ member(X90,X91)
| member(X90,complement(complement(X91))) ),
inference(resolution,[status(thm)],[not_member_of_set_and_complement,member_of_set_or_complement]) ).
cnf(c71,plain,
( member(member_of_1_not_of_2(X453,X452),complement(complement(X453)))
| subset(X453,X452) ),
inference(resolution,[status(thm)],[c16,subsets_axiom1]) ).
cnf(c1176,plain,
subset(X455,complement(complement(X455))),
inference(resolution,[status(thm)],[c71,subsets_axiom2]) ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X73,X74)
| ~ subset(X74,X73)
| equal_sets(X74,X73) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).
cnf(c10,plain,
( subset(X103,X102)
| member(member_of_1_not_of_2(X103,X102),complement(X102)) ),
inference(resolution,[status(thm)],[subsets_axiom2,member_of_set_or_complement]) ).
cnf(c17,plain,
( ~ member(member_of_1_not_of_2(complement(X109),X108),X109)
| subset(complement(X109),X108) ),
inference(resolution,[status(thm)],[not_member_of_set_and_complement,subsets_axiom1]) ).
cnf(c134,plain,
subset(complement(complement(X111)),X111),
inference(resolution,[status(thm)],[c17,c10]) ).
cnf(c138,plain,
( ~ subset(X875,complement(complement(X875)))
| equal_sets(complement(complement(X875)),X875) ),
inference(resolution,[status(thm)],[c134,subsets_are_set_equal_sets]) ).
cnf(c3368,plain,
equal_sets(complement(complement(X876)),X876),
inference(resolution,[status(thm)],[c138,c1176]) ).
cnf(c3383,plain,
$false,
inference(resolution,[status(thm)],[c3368,prove_involution]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:12:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 1.30/1.47 % Version: 1.5
% 1.30/1.47 % SZS status Unsatisfiable
% 1.30/1.47 % SZS output start CNFRefutation
% See solution above
% 1.30/1.47
% 1.30/1.47 % Initial clauses : 22
% 1.30/1.47 % Processed clauses : 217
% 1.30/1.47 % Factors computed : 12
% 1.30/1.47 % Resolvents computed: 3374
% 1.30/1.47 % Tautologies deleted: 6
% 1.30/1.47 % Forward subsumed : 282
% 1.30/1.47 % Backward subsumed : 2
% 1.30/1.47 % -------- CPU Time ---------
% 1.30/1.47 % User time : 1.087 s
% 1.30/1.47 % System time : 0.015 s
% 1.30/1.47 % Total time : 1.102 s
%------------------------------------------------------------------------------