TSTP Solution File: SWC349+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC349+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : 300s
% DateTime : Thu May 9 17:43:54 EDT 2024
% Result : Theorem 6.18s 6.34s
% Output : Refutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 89 ( 36 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 93 ( 31 ~; 25 |; 24 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ~ neq(V,nil)
| frontsegP(V,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c23,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ~ neq(V,nil)
| frontsegP(V,U) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c24,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ~ neq(V,nil)
| frontsegP(V,U) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c23]) ).
fof(c25,negated_conjecture,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& nil = W
& V = X
& U = W
& neq(V,nil)
& ~ frontsegP(V,U) ) ) ) ),
inference(fof_nnf,[status(thm)],[c24]) ).
fof(c26,negated_conjecture,
? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& nil = X4
& X3 = X5
& X2 = X4
& neq(X3,nil)
& ~ frontsegP(X3,X2) ) ) ) ),
inference(variable_rename,[status(thm)],[c25]) ).
fof(c27,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& nil = skolem0003
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& neq(skolem0002,nil)
& ~ frontsegP(skolem0002,skolem0001) ),
inference(skolemize,[status(esa)],[c26]) ).
cnf(c36,negated_conjecture,
~ frontsegP(skolem0002,skolem0001),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(reflexivity,axiom,
X250 = X250,
theory(equality) ).
cnf(symmetry,axiom,
( X252 != X251
| X251 = X252 ),
theory(equality) ).
cnf(c34,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(transitivity,axiom,
( X254 != X253
| X253 != X255
| X254 = X255 ),
theory(equality) ).
cnf(c32,negated_conjecture,
nil = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c512,plain,
skolem0003 = nil,
inference(resolution,[status(thm)],[c32,symmetry]) ).
cnf(c527,plain,
( X390 != skolem0003
| X390 = nil ),
inference(resolution,[status(thm)],[c512,transitivity]) ).
cnf(c756,plain,
skolem0001 = nil,
inference(resolution,[status(thm)],[c527,c34]) ).
cnf(c764,plain,
nil = skolem0001,
inference(resolution,[status(thm)],[c756,symmetry]) ).
cnf(c9,axiom,
( X294 != X293
| X295 != X296
| ~ frontsegP(X294,X295)
| frontsegP(X293,X296) ),
theory(equality) ).
cnf(c29,negated_conjecture,
ssList(skolem0002),
inference(split_conjunct,[status(thm)],[c27]) ).
fof(ax45,axiom,
! [U] :
( ssList(U)
=> frontsegP(U,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(c226,plain,
! [U] :
( ~ ssList(U)
| frontsegP(U,nil) ),
inference(fof_nnf,[status(thm)],[ax45]) ).
fof(c227,plain,
! [X85] :
( ~ ssList(X85)
| frontsegP(X85,nil) ),
inference(variable_rename,[status(thm)],[c226]) ).
cnf(c228,plain,
( ~ ssList(X302)
| frontsegP(X302,nil) ),
inference(split_conjunct,[status(thm)],[c227]) ).
cnf(c619,plain,
frontsegP(skolem0002,nil),
inference(resolution,[status(thm)],[c228,c29]) ).
cnf(c632,plain,
( skolem0002 != X842
| nil != X841
| frontsegP(X842,X841) ),
inference(resolution,[status(thm)],[c619,c9]) ).
cnf(c15037,plain,
( skolem0002 != X947
| frontsegP(X947,skolem0001) ),
inference(resolution,[status(thm)],[c632,c764]) ).
cnf(c18025,plain,
frontsegP(skolem0002,skolem0001),
inference(resolution,[status(thm)],[c15037,reflexivity]) ).
cnf(c18040,plain,
$false,
inference(resolution,[status(thm)],[c18025,c36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWC349+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 03:16:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 6.18/6.34 % Version: 1.5
% 6.18/6.34 % SZS status Theorem
% 6.18/6.34 % SZS output start CNFRefutation
% See solution above
% 6.18/6.34
% 6.18/6.34 % Initial clauses : 225
% 6.18/6.34 % Processed clauses : 1000
% 6.18/6.34 % Factors computed : 50
% 6.18/6.34 % Resolvents computed: 17609
% 6.18/6.34 % Tautologies deleted: 23
% 6.18/6.34 % Forward subsumed : 567
% 6.18/6.34 % Backward subsumed : 20
% 6.18/6.34 % -------- CPU Time ---------
% 6.18/6.34 % User time : 5.904 s
% 6.18/6.34 % System time : 0.060 s
% 6.18/6.34 % Total time : 5.964 s
%------------------------------------------------------------------------------