%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% 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 17:39:46 EDT 2024
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 5 sgn 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersection_is_subset,axiom,
! [B,C] : subset(intersection(B,C),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_is_subset) ).
fof(c50,plain,
! [X35,X36] : subset(intersection(X35,X36),X35),
inference(variable_rename,[status(thm)],[intersection_is_subset]) ).
cnf(c51,plain,
subset(intersection(X44,X45),X44),
inference(split_conjunct,[status(thm)],[c50]) ).
fof(subset_of_union,axiom,
! [B,C] : subset(B,union(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
fof(c52,plain,
! [X37,X38] : subset(X37,union(X37,X38)),
inference(variable_rename,[status(thm)],[subset_of_union]) ).
cnf(c53,plain,
subset(X47,union(X47,X46)),
inference(split_conjunct,[status(thm)],[c52]) ).
fof(transitivity_of_subset,axiom,
! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_subset) ).
fof(c54,plain,
! [B,C,D] :
( ~ subset(B,C)
| ~ subset(C,D)
| subset(B,D) ),
inference(fof_nnf,[status(thm)],[transitivity_of_subset]) ).
fof(c55,plain,
! [X39,X40,X41] :
( ~ subset(X39,X40)
| ~ subset(X40,X41)
| subset(X39,X41) ),
inference(variable_rename,[status(thm)],[c54]) ).
cnf(c56,plain,
( ~ subset(X104,X105)
| ~ subset(X105,X103)
| subset(X104,X103) ),
inference(split_conjunct,[status(thm)],[c55]) ).
cnf(c85,plain,
( ~ subset(X114,X115)
| subset(X114,union(X115,X113)) ),
inference(resolution,[status(thm)],[c56,c53]) ).
cnf(c91,plain,
subset(intersection(X121,X123),union(X121,X122)),
inference(resolution,[status(thm)],[c85,c51]) ).
fof(prove_intersection_subset_of_union,conjecture,
! [B,C,D] : subset(intersection(B,C),union(B,D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_subset_of_union) ).
fof(c4,negated_conjecture,
~ ! [B,C,D] : subset(intersection(B,C),union(B,D)),
inference(assume_negation,[status(cth)],[prove_intersection_subset_of_union]) ).
fof(c5,negated_conjecture,
? [B,C,D] : ~ subset(intersection(B,C),union(B,D)),
inference(fof_nnf,[status(thm)],[c4]) ).
fof(c6,negated_conjecture,
? [X2,X3,X4] : ~ subset(intersection(X2,X3),union(X2,X4)),
inference(variable_rename,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
~ subset(intersection(skolem0001,skolem0002),union(skolem0001,skolem0003)),
inference(skolemize,[status(esa)],[c6]) ).
cnf(c8,negated_conjecture,
~ subset(intersection(skolem0001,skolem0002),union(skolem0001,skolem0003)),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c103,plain,
$false,
inference(resolution,[status(thm)],[c8,c91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed May 8 18:58:53 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.53 % Version: 1.5
% 0.18/0.53 % SZS status Theorem
% 0.18/0.53 % SZS output start CNFRefutation
% See solution above
% 0.18/0.53
% 0.18/0.53 % Initial clauses : 27
% 0.18/0.53 % Processed clauses : 27
% 0.18/0.53 % Factors computed : 4
% 0.18/0.53 % Resolvents computed: 44
% 0.18/0.53 % Tautologies deleted: 4
% 0.18/0.53 % Forward subsumed : 5
% 0.18/0.53 % Backward subsumed : 0
% 0.18/0.53 % -------- CPU Time ---------
% 0.18/0.53 % User time : 0.180 s
% 0.18/0.53 % System time : 0.022 s
% 0.18/0.53 % Total time : 0.202 s
%------------------------------------------------------------------------------