TSTP Solution File: SEU264+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 13:36:55 EDT 2022
% Result : Theorem 0.37s 0.58s
% Output : Refutation 0.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% 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) ) ),
input ).
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(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
input ).
fof(c24,axiom,
! [A] : subset(A,A),
inference(fof_simplification,status(thm),[reflexivity_r1_tarski]) ).
fof(c25,axiom,
! [X20] : subset(X20,X20),
inference(variable_rename,status(thm),[c24]) ).
cnf(c26,axiom,
subset(X43,X43),
inference(split_conjunct,status(thm),[c25]) ).
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) ) ),
input ).
fof(c16,axiom,
! [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,axiom,
! [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,axiom,
( ~ relation_of2_as_subset(X65,X62,X63)
| ~ subset(relation_rng(X65),X64)
| relation_of2_as_subset(X65,X62,X64) ),
inference(split_conjunct,status(thm),[c17]) ).
cnf(c65,plain,
( ~ relation_of2_as_subset(X114,X113,X112)
| relation_of2_as_subset(X114,X113,relation_rng(X114)) ),
inference(resolution,status(thm),[c18,c26]) ).
cnf(c123,plain,
relation_of2_as_subset(skolem0004,skolem0003,relation_rng(skolem0004)),
inference(resolution,status(thm),[c65,c13]) ).
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) ) ),
input ).
fof(c19,axiom,
! [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,axiom,
! [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,axiom,
! [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,axiom,
( ~ relation_of2_as_subset(X86,X84,X85)
| subset(relation_rng(X86),X85) ),
inference(split_conjunct,status(thm),[c21]) ).
cnf(c81,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) ),
input ).
fof(c6,axiom,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(fof_nnf,status(thm),[t1_xboole_1]) ).
fof(c7,axiom,
! [X6,X7,X8] :
( ~ subset(X6,X7)
| ~ subset(X7,X8)
| subset(X6,X8) ),
inference(variable_rename,status(thm),[c6]) ).
cnf(c8,axiom,
( ~ subset(X53,X55)
| ~ subset(X55,X54)
| subset(X53,X54) ),
inference(split_conjunct,status(thm),[c7]) ).
cnf(c58,plain,
( ~ subset(X91,skolem0001)
| subset(X91,skolem0002) ),
inference(resolution,status(thm),[c8,c14]) ).
cnf(c93,plain,
subset(relation_rng(skolem0004),skolem0002),
inference(resolution,status(thm),[c58,c81]) ).
cnf(c103,plain,
( ~ relation_of2_as_subset(skolem0004,X196,X195)
| relation_of2_as_subset(skolem0004,X196,skolem0002) ),
inference(resolution,status(thm),[c93,c18]) ).
cnf(c221,plain,
relation_of2_as_subset(skolem0004,skolem0003,skolem0002),
inference(resolution,status(thm),[c103,c123]) ).
cnf(c224,plain,
$false,
inference(resolution,status(thm),[c221,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 16:57:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.58 # Version: 1.3
% 0.37/0.58 # SZS status Theorem
% 0.37/0.58 # SZS output start CNFRefutation
% See solution above
% 0.37/0.58
% 0.37/0.58 # Initial clauses : 23
% 0.37/0.58 # Processed clauses : 80
% 0.37/0.58 # Factors computed : 0
% 0.37/0.58 # Resolvents computed: 177
% 0.37/0.58 # Tautologies deleted: 1
% 0.37/0.58 # Forward subsumed : 40
% 0.37/0.58 # Backward subsumed : 0
% 0.37/0.58 # -------- CPU Time ---------
% 0.37/0.58 # User time : 0.229 s
% 0.37/0.58 # System time : 0.017 s
% 0.37/0.58 # Total time : 0.246 s
%------------------------------------------------------------------------------