%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 8.73s 8.95s
% Output : Refutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 11 unt; 8 nHn; 24 RR)
% Number of literals : 55 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_equals_c,negated_conjecture,
~ equal_sets(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_c) ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X69,X68)
| ~ subset(X68,X69)
| equal_sets(X68,X69) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X24,X23),X23)
| subset(X24,X23) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(subsets_axiom1,axiom,
( subset(X18,X17)
| member(member_of_1_not_of_2(X18,X17),X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(not_member_of_set_and_complement,axiom,
( ~ member(X33,X32)
| ~ member(X33,complement(X32)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',not_member_of_set_and_complement) ).
cnf(membership_in_subsets,axiom,
( ~ member(X8,X9)
| ~ subset(X9,X7)
| member(X8,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',membership_in_subsets) ).
cnf(set_equal_sets_are_subsets2,axiom,
( ~ equal_sets(X11,X12)
| subset(X12,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',set_equal_sets_are_subsets2) ).
cnf(complement_of_a_is_b,plain,
equal_sets(complement(a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_is_b) ).
cnf(c10,plain,
subset(b,complement(a)),
inference(resolution,[status(thm)],[complement_of_a_is_b,set_equal_sets_are_subsets2]) ).
cnf(c19,plain,
( ~ member(X95,b)
| member(X95,complement(a)) ),
inference(resolution,[status(thm)],[c10,membership_in_subsets]) ).
cnf(member_of_set_or_complement,axiom,
( member(X29,X28)
| member(X29,complement(X28)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_set_or_complement) ).
cnf(set_equal_sets_are_subsets1,axiom,
( ~ equal_sets(X6,X5)
| subset(X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',set_equal_sets_are_subsets1) ).
cnf(complement_of_b_is_c,plain,
equal_sets(complement(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_b_is_c) ).
cnf(c12,plain,
subset(complement(b),c),
inference(resolution,[status(thm)],[complement_of_b_is_c,set_equal_sets_are_subsets1]) ).
cnf(c28,plain,
( ~ member(X96,complement(b))
| member(X96,c) ),
inference(resolution,[status(thm)],[c12,membership_in_subsets]) ).
cnf(c118,plain,
( member(X97,c)
| member(X97,b) ),
inference(resolution,[status(thm)],[c28,member_of_set_or_complement]) ).
cnf(c127,plain,
( member(X161,c)
| member(X161,complement(a)) ),
inference(resolution,[status(thm)],[c118,c19]) ).
cnf(c335,plain,
( member(X166,c)
| ~ member(X166,a) ),
inference(resolution,[status(thm)],[c127,not_member_of_set_and_complement]) ).
cnf(c375,plain,
( member(member_of_1_not_of_2(a,X1961),c)
| subset(a,X1961) ),
inference(resolution,[status(thm)],[c335,subsets_axiom1]) ).
cnf(c12124,plain,
subset(a,c),
inference(resolution,[status(thm)],[c375,subsets_axiom2]) ).
cnf(c12146,plain,
( ~ subset(c,a)
| equal_sets(a,c) ),
inference(resolution,[status(thm)],[c12124,subsets_are_set_equal_sets]) ).
cnf(c9,plain,
subset(complement(a),b),
inference(resolution,[status(thm)],[complement_of_a_is_b,set_equal_sets_are_subsets1]) ).
cnf(c18,plain,
( ~ member(X93,complement(a))
| member(X93,b) ),
inference(resolution,[status(thm)],[c9,membership_in_subsets]) ).
cnf(c100,plain,
( member(X94,b)
| member(X94,a) ),
inference(resolution,[status(thm)],[c18,member_of_set_or_complement]) ).
cnf(c110,plain,
( member(member_of_1_not_of_2(X617,a),b)
| subset(X617,a) ),
inference(resolution,[status(thm)],[c100,subsets_axiom2]) ).
cnf(c13,plain,
subset(c,complement(b)),
inference(resolution,[status(thm)],[complement_of_b_is_c,set_equal_sets_are_subsets2]) ).
cnf(c29,plain,
( ~ member(X102,c)
| member(X102,complement(b)) ),
inference(resolution,[status(thm)],[c13,membership_in_subsets]) ).
cnf(c145,plain,
( member(member_of_1_not_of_2(c,X818),complement(b))
| subset(c,X818) ),
inference(resolution,[status(thm)],[c29,subsets_axiom1]) ).
cnf(c4047,plain,
( subset(c,X3039)
| ~ member(member_of_1_not_of_2(c,X3039),b) ),
inference(resolution,[status(thm)],[c145,not_member_of_set_and_complement]) ).
cnf(c24697,plain,
subset(c,a),
inference(resolution,[status(thm)],[c4047,c110]) ).
cnf(c24864,plain,
equal_sets(a,c),
inference(resolution,[status(thm)],[c24697,c12146]) ).
cnf(c24872,plain,
$false,
inference(resolution,[status(thm)],[c24864,prove_a_equals_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 19:32:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 8.73/8.95 % Version: 1.5
% 8.73/8.95 % SZS status Unsatisfiable
% 8.73/8.95 % SZS output start CNFRefutation
% See solution above
% 8.73/8.95
% 8.73/8.95 % Initial clauses : 24
% 8.73/8.95 % Processed clauses : 596
% 8.73/8.95 % Factors computed : 45
% 8.73/8.95 % Resolvents computed: 24832
% 8.73/8.95 % Tautologies deleted: 6
% 8.73/8.95 % Forward subsumed : 1183
% 8.73/8.95 % Backward subsumed : 6
% 8.73/8.95 % -------- CPU Time ---------
% 8.73/8.95 % User time : 8.534 s
% 8.73/8.95 % System time : 0.052 s
% 8.73/8.95 % Total time : 8.586 s
%------------------------------------------------------------------------------