TSTP Solution File: SET012-2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 04:34:05 EDT 2022
% Result : Unsatisfiable 8.41s 8.60s
% Output : Refutation 8.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_equals_c,negated_conjecture,
~ equal_sets(a,c),
input ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X68,X69)
| ~ subset(X69,X68)
| equal_sets(X69,X68) ),
input ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X24,X23),X23)
| subset(X24,X23) ),
input ).
cnf(subsets_axiom1,axiom,
( subset(X18,X17)
| member(member_of_1_not_of_2(X18,X17),X18) ),
input ).
cnf(not_member_of_set_and_complement,axiom,
( ~ member(X33,X32)
| ~ member(X33,complement(X32)) ),
input ).
cnf(membership_in_subsets,axiom,
( ~ member(X7,X9)
| ~ subset(X9,X8)
| member(X7,X8) ),
input ).
cnf(set_equal_sets_are_subsets2,axiom,
( ~ equal_sets(X11,X12)
| subset(X12,X11) ),
input ).
cnf(complement_of_a_is_b,plain,
equal_sets(complement(a),b),
input ).
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(X87,b)
| member(X87,complement(a)) ),
inference(resolution,status(thm),[c10,membership_in_subsets]) ).
cnf(member_of_set_or_complement,axiom,
( member(X29,X28)
| member(X29,complement(X28)) ),
input ).
cnf(set_equal_sets_are_subsets1,axiom,
( ~ equal_sets(X6,X5)
| subset(X6,X5) ),
input ).
cnf(complement_of_b_is_c,plain,
equal_sets(complement(b),c),
input ).
cnf(c11,plain,
subset(complement(b),c),
inference(resolution,status(thm),[complement_of_b_is_c,set_equal_sets_are_subsets1]) ).
cnf(c25,plain,
( ~ member(X88,complement(b))
| member(X88,c) ),
inference(resolution,status(thm),[c11,membership_in_subsets]) ).
cnf(c97,plain,
( member(X92,c)
| member(X92,b) ),
inference(resolution,status(thm),[c25,member_of_set_or_complement]) ).
cnf(c113,plain,
( member(X150,c)
| member(X150,complement(a)) ),
inference(resolution,status(thm),[c97,c19]) ).
cnf(c308,plain,
( member(X151,c)
| ~ member(X151,a) ),
inference(resolution,status(thm),[c113,not_member_of_set_and_complement]) ).
cnf(c315,plain,
( member(member_of_1_not_of_2(a,X1817),c)
| subset(a,X1817) ),
inference(resolution,status(thm),[c308,subsets_axiom1]) ).
cnf(c11888,plain,
subset(a,c),
inference(resolution,status(thm),[c315,subsets_axiom2]) ).
cnf(c11913,plain,
( ~ subset(c,a)
| equal_sets(a,c) ),
inference(resolution,status(thm),[c11888,subsets_are_set_equal_sets]) ).
cnf(c32,plain,
( ~ member(member_of_1_not_of_2(complement(X107),X106),X107)
| subset(complement(X107),X106) ),
inference(resolution,status(thm),[not_member_of_set_and_complement,subsets_axiom1]) ).
cnf(c8,plain,
subset(complement(a),b),
inference(resolution,status(thm),[complement_of_a_is_b,set_equal_sets_are_subsets1]) ).
cnf(c15,plain,
( ~ member(X85,complement(a))
| member(X85,b) ),
inference(resolution,status(thm),[c8,membership_in_subsets]) ).
cnf(c83,plain,
( member(X86,b)
| member(X86,a) ),
inference(resolution,status(thm),[c15,member_of_set_or_complement]) ).
cnf(c93,plain,
( member(member_of_1_not_of_2(X486,a),b)
| subset(X486,a) ),
inference(resolution,status(thm),[c83,subsets_axiom2]) ).
cnf(c1618,plain,
subset(complement(b),a),
inference(resolution,status(thm),[c93,c32]) ).
cnf(c1627,plain,
( ~ member(X489,complement(b))
| member(X489,a) ),
inference(resolution,status(thm),[c1618,membership_in_subsets]) ).
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(X93,c)
| member(X93,complement(b)) ),
inference(resolution,status(thm),[c13,membership_in_subsets]) ).
cnf(c121,plain,
( member(member_of_1_not_of_2(c,X669),complement(b))
| subset(c,X669) ),
inference(resolution,status(thm),[c29,subsets_axiom1]) ).
cnf(c2955,plain,
( subset(c,X2832)
| member(member_of_1_not_of_2(c,X2832),a) ),
inference(resolution,status(thm),[c121,c1627]) ).
cnf(c24239,plain,
subset(c,a),
inference(resolution,status(thm),[c2955,subsets_axiom2]) ).
cnf(c24282,plain,
equal_sets(a,c),
inference(resolution,status(thm),[c24239,c11913]) ).
cnf(c24294,plain,
$false,
inference(resolution,status(thm),[c24282,prove_a_equals_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 06:10:28 EDT 2022
% 0.15/0.36 % CPUTime :
% 8.41/8.60 # Version: 1.3
% 8.41/8.60 # SZS status Unsatisfiable
% 8.41/8.60 # SZS output start CNFRefutation
% See solution above
% 8.41/8.60
% 8.41/8.60 # Initial clauses : 24
% 8.41/8.60 # Processed clauses : 577
% 8.41/8.60 # Factors computed : 41
% 8.41/8.60 # Resolvents computed: 24255
% 8.41/8.60 # Tautologies deleted: 4
% 8.41/8.60 # Forward subsumed : 1090
% 8.41/8.60 # Backward subsumed : 6
% 8.41/8.60 # -------- CPU Time ---------
% 8.41/8.60 # User time : 8.178 s
% 8.41/8.60 # System time : 0.058 s
% 8.41/8.60 # Total time : 8.236 s
%------------------------------------------------------------------------------