TSTP Solution File: SWC102+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC102+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:43:17 EDT 2024
% Result : Theorem 18.28s 18.49s
% Output : Refutation 18.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 112 ( 45 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 119 ( 43 ~; 36 |; 27 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 46 ( 0 sgn 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| X != W
| ~ neq(V,nil)
| ( neq(U,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)
=> ( V != X
| U != W
| X != W
| ~ neq(V,nil)
| ( neq(U,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)
=> ( V != X
| U != W
| X != W
| ~ neq(V,nil)
| ( neq(U,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)
& V = X
& U = W
& X = W
& neq(V,nil)
& ( ~ neq(U,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)
& X3 = X5
& X2 = X4
& X5 = X4
& neq(X3,nil)
& ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) ) ) ) ) ),
inference(variable_rename,[status(thm)],[c25]) ).
fof(c27,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& skolem0004 = skolem0003
& neq(skolem0002,nil)
& ( ~ neq(skolem0001,nil)
| ~ frontsegP(skolem0002,skolem0001) ) ),
inference(skolemize,[status(esa)],[c26]) ).
cnf(c32,negated_conjecture,
skolem0002 = skolem0004,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(transitivity,axiom,
( X255 != X254
| X254 != X253
| X255 = X253 ),
theory(equality) ).
cnf(c34,negated_conjecture,
skolem0004 = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c518,plain,
( X382 != skolem0004
| X382 = skolem0003 ),
inference(resolution,[status(thm)],[c34,transitivity]) ).
cnf(c723,plain,
skolem0002 = skolem0003,
inference(resolution,[status(thm)],[c518,c32]) ).
cnf(symmetry,axiom,
( X252 != X251
| X251 = X252 ),
theory(equality) ).
cnf(c33,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c516,plain,
skolem0003 = skolem0001,
inference(resolution,[status(thm)],[c33,symmetry]) ).
cnf(c531,plain,
( X395 != skolem0003
| X395 = skolem0001 ),
inference(resolution,[status(thm)],[c516,transitivity]) ).
cnf(c784,plain,
skolem0002 = skolem0001,
inference(resolution,[status(thm)],[c531,c723]) ).
cnf(reflexivity,axiom,
X250 = X250,
theory(equality) ).
cnf(c35,negated_conjecture,
neq(skolem0002,nil),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c5,axiom,
( X277 != X279
| X278 != X276
| ~ neq(X277,X278)
| neq(X279,X276) ),
theory(equality) ).
cnf(c570,plain,
( skolem0002 != X740
| nil != X741
| neq(X740,X741) ),
inference(resolution,[status(thm)],[c5,c35]) ).
cnf(c22761,plain,
( skolem0002 != X901
| neq(X901,nil) ),
inference(resolution,[status(thm)],[c570,reflexivity]) ).
cnf(c43764,plain,
neq(skolem0001,nil),
inference(resolution,[status(thm)],[c22761,c784]) ).
cnf(c36,negated_conjecture,
( ~ neq(skolem0001,nil)
| ~ frontsegP(skolem0002,skolem0001) ),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c809,plain,
skolem0001 = skolem0002,
inference(resolution,[status(thm)],[c784,symmetry]) ).
cnf(c28,negated_conjecture,
ssList(skolem0001),
inference(split_conjunct,[status(thm)],[c27]) ).
fof(ax42,axiom,
! [U] :
( ssList(U)
=> frontsegP(U,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(c240,plain,
! [U] :
( ~ ssList(U)
| frontsegP(U,U) ),
inference(fof_nnf,[status(thm)],[ax42]) ).
fof(c241,plain,
! [X93] :
( ~ ssList(X93)
| frontsegP(X93,X93) ),
inference(variable_rename,[status(thm)],[c240]) ).
cnf(c242,plain,
( ~ ssList(X283)
| frontsegP(X283,X283) ),
inference(split_conjunct,[status(thm)],[c241]) ).
cnf(c579,plain,
frontsegP(skolem0001,skolem0001),
inference(resolution,[status(thm)],[c242,c28]) ).
cnf(c9,axiom,
( X294 != X296
| X295 != X293
| ~ frontsegP(X294,X295)
| frontsegP(X296,X293) ),
theory(equality) ).
cnf(c597,plain,
( skolem0001 != X743
| skolem0001 != X742
| frontsegP(X743,X742) ),
inference(resolution,[status(thm)],[c9,c579]) ).
cnf(c22774,plain,
( skolem0001 != X906
| frontsegP(X906,skolem0001) ),
inference(resolution,[status(thm)],[c597,reflexivity]) ).
cnf(c43876,plain,
frontsegP(skolem0002,skolem0001),
inference(resolution,[status(thm)],[c22774,c809]) ).
cnf(c43886,plain,
~ neq(skolem0001,nil),
inference(resolution,[status(thm)],[c43876,c36]) ).
cnf(c43960,plain,
$false,
inference(resolution,[status(thm)],[c43886,c43764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC102+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 02:44:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 18.28/18.49 % Version: 1.5
% 18.28/18.49 % SZS status Theorem
% 18.28/18.49 % SZS output start CNFRefutation
% See solution above
% 18.28/18.49
% 18.28/18.49 % Initial clauses : 225
% 18.28/18.49 % Processed clauses : 1292
% 18.28/18.49 % Factors computed : 51
% 18.28/18.49 % Resolvents computed: 43404
% 18.28/18.49 % Tautologies deleted: 18
% 18.28/18.49 % Forward subsumed : 840
% 18.28/18.49 % Backward subsumed : 1
% 18.28/18.49 % -------- CPU Time ---------
% 18.28/18.49 % User time : 18.045 s
% 18.28/18.49 % System time : 0.080 s
% 18.28/18.49 % Total time : 18.125 s
%------------------------------------------------------------------------------