%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:40:58 EDT 2024
% Result : Theorem 0.44s 0.60s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 24 ~; 19 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 62 ( 3 sgn 41 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_relset_1,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(c9,negated_conjecture,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(assume_negation,[status(cth)],[t16_relset_1]) ).
fof(c10,negated_conjecture,
? [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
& subset(A,B)
& ~ relation_of2_as_subset(D,C,B) ),
inference(fof_nnf,[status(thm)],[c9]) ).
fof(c11,negated_conjecture,
? [X9,X10,X11,X12] :
( relation_of2_as_subset(X12,X11,X9)
& subset(X9,X10)
& ~ relation_of2_as_subset(X12,X11,X10) ),
inference(variable_rename,[status(thm)],[c10]) ).
fof(c12,negated_conjecture,
( relation_of2_as_subset(skolem0004,skolem0003,skolem0001)
& subset(skolem0001,skolem0002)
& ~ relation_of2_as_subset(skolem0004,skolem0003,skolem0002) ),
inference(skolemize,[status(esa)],[c11]) ).
cnf(c15,negated_conjecture,
~ relation_of2_as_subset(skolem0004,skolem0003,skolem0002),
inference(split_conjunct,[status(thm)],[c12]) ).
cnf(c13,negated_conjecture,
relation_of2_as_subset(skolem0004,skolem0003,skolem0001),
inference(split_conjunct,[status(thm)],[c12]) ).
fof(t14_relset_1,axiom,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(c16,plain,
! [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
inference(fof_nnf,[status(thm)],[t14_relset_1]) ).
fof(c17,plain,
! [X13,X14,X15,X16] :
( ~ relation_of2_as_subset(X16,X15,X13)
| ~ subset(relation_rng(X16),X14)
| relation_of2_as_subset(X16,X15,X14) ),
inference(variable_rename,[status(thm)],[c16]) ).
cnf(c18,plain,
( ~ relation_of2_as_subset(X60,X61,X63)
| ~ subset(relation_rng(X60),X62)
| relation_of2_as_subset(X60,X61,X62) ),
inference(split_conjunct,[status(thm)],[c17]) ).
fof(t12_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(c19,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
inference(fof_nnf,[status(thm)],[t12_relset_1]) ).
fof(c20,plain,
! [X17,X18,X19] :
( ~ relation_of2_as_subset(X19,X17,X18)
| ( subset(relation_dom(X19),X17)
& subset(relation_rng(X19),X18) ) ),
inference(variable_rename,[status(thm)],[c19]) ).
fof(c21,plain,
! [X17,X18,X19] :
( ( ~ relation_of2_as_subset(X19,X17,X18)
| subset(relation_dom(X19),X17) )
& ( ~ relation_of2_as_subset(X19,X17,X18)
| subset(relation_rng(X19),X18) ) ),
inference(distribute,[status(thm)],[c20]) ).
cnf(c23,plain,
( ~ relation_of2_as_subset(X84,X85,X83)
| subset(relation_rng(X84),X83) ),
inference(split_conjunct,[status(thm)],[c21]) ).
cnf(c78,plain,
subset(relation_rng(skolem0004),skolem0001),
inference(resolution,[status(thm)],[c23,c13]) ).
cnf(c14,negated_conjecture,
subset(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c12]) ).
fof(t1_xboole_1,axiom,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(c6,plain,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(fof_nnf,[status(thm)],[t1_xboole_1]) ).
fof(c7,plain,
! [X6,X7,X8] :
( ~ subset(X6,X7)
| ~ subset(X7,X8)
| subset(X6,X8) ),
inference(variable_rename,[status(thm)],[c6]) ).
cnf(c8,plain,
( ~ subset(X53,X54)
| ~ subset(X54,X55)
| subset(X53,X55) ),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c59,plain,
( ~ subset(X92,skolem0001)
| subset(X92,skolem0002) ),
inference(resolution,[status(thm)],[c8,c14]) ).
cnf(c96,plain,
subset(relation_rng(skolem0004),skolem0002),
inference(resolution,[status(thm)],[c59,c78]) ).
cnf(c104,plain,
( ~ relation_of2_as_subset(skolem0004,X196,X197)
| relation_of2_as_subset(skolem0004,X196,skolem0002) ),
inference(resolution,[status(thm)],[c96,c18]) ).
cnf(c222,plain,
relation_of2_as_subset(skolem0004,skolem0003,skolem0002),
inference(resolution,[status(thm)],[c104,c13]) ).
cnf(c229,plain,
$false,
inference(resolution,[status(thm)],[c222,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.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 11:30:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.44/0.60 % Version: 1.5
% 0.44/0.60 % SZS status Theorem
% 0.44/0.60 % SZS output start CNFRefutation
% See solution above
% 0.44/0.60
% 0.44/0.60 % Initial clauses : 23
% 0.44/0.60 % Processed clauses : 80
% 0.44/0.60 % Factors computed : 1
% 0.44/0.60 % Resolvents computed: 177
% 0.44/0.60 % Tautologies deleted: 2
% 0.44/0.60 % Forward subsumed : 39
% 0.44/0.60 % Backward subsumed : 0
% 0.44/0.60 % -------- CPU Time ---------
% 0.44/0.60 % User time : 0.236 s
% 0.44/0.60 % System time : 0.013 s
% 0.44/0.60 % Total time : 0.249 s
%------------------------------------------------------------------------------