TSTP Solution File: SWC044+1 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC044+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:43:08 EDT 2024
% Result : Theorem 7.07s 7.30s
% Output : Refutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 110 ( 57 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 119 ( 42 ~; 36 |; 27 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != V
| V != X
| U != W
| ~ rearsegP(X,W)
| nil = 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 != V
| V != X
| U != W
| ~ rearsegP(X,W)
| nil = U ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c24,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != V
| V != X
| U != W
| ~ rearsegP(X,W)
| nil = U ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c23]) ).
fof(c25,negated_conjecture,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& nil = V
& V = X
& U = W
& rearsegP(X,W)
& nil != U ) ) ) ),
inference(fof_nnf,[status(thm)],[c24]) ).
fof(c26,negated_conjecture,
? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& nil = X3
& X3 = X5
& X2 = X4
& rearsegP(X5,X4)
& nil != X2 ) ) ) ),
inference(variable_rename,[status(thm)],[c25]) ).
fof(c27,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& nil = skolem0002
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& rearsegP(skolem0004,skolem0003)
& nil != skolem0001 ),
inference(skolemize,[status(esa)],[c26]) ).
cnf(c36,negated_conjecture,
nil != skolem0001,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(transitivity,axiom,
( X254 != X255
| X255 != X253
| X254 = X253 ),
theory(equality) ).
cnf(symmetry,axiom,
( X251 != X252
| X252 = X251 ),
theory(equality) ).
cnf(c34,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c518,plain,
skolem0003 = skolem0001,
inference(resolution,[status(thm)],[c34,symmetry]) ).
cnf(c542,plain,
( X410 != skolem0003
| X410 = skolem0001 ),
inference(resolution,[status(thm)],[c518,transitivity]) ).
cnf(c30,negated_conjecture,
ssList(skolem0003),
inference(split_conjunct,[status(thm)],[c27]) ).
fof(ax52,axiom,
! [U] :
( ssList(U)
=> ( rearsegP(nil,U)
<=> nil = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(c198,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ rearsegP(nil,U)
| nil = U )
& ( nil != U
| rearsegP(nil,U) ) ) ),
inference(fof_nnf,[status(thm)],[ax52]) ).
fof(c199,plain,
! [X73] :
( ~ ssList(X73)
| ( ( ~ rearsegP(nil,X73)
| nil = X73 )
& ( nil != X73
| rearsegP(nil,X73) ) ) ),
inference(variable_rename,[status(thm)],[c198]) ).
fof(c200,plain,
! [X73] :
( ( ~ ssList(X73)
| ~ rearsegP(nil,X73)
| nil = X73 )
& ( ~ ssList(X73)
| nil != X73
| rearsegP(nil,X73) ) ),
inference(distribute,[status(thm)],[c199]) ).
cnf(c201,plain,
( ~ ssList(X452)
| ~ rearsegP(nil,X452)
| nil = X452 ),
inference(split_conjunct,[status(thm)],[c200]) ).
cnf(c32,negated_conjecture,
nil = skolem0002,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c33,negated_conjecture,
skolem0002 = skolem0004,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c516,plain,
( X386 != skolem0002
| X386 = skolem0004 ),
inference(resolution,[status(thm)],[c33,transitivity]) ).
cnf(c751,plain,
nil = skolem0004,
inference(resolution,[status(thm)],[c516,c32]) ).
cnf(c764,plain,
skolem0004 = nil,
inference(resolution,[status(thm)],[c751,symmetry]) ).
cnf(reflexivity,axiom,
X250 = X250,
theory(equality) ).
cnf(c35,negated_conjecture,
rearsegP(skolem0004,skolem0003),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c10,axiom,
( X298 != X301
| X299 != X300
| ~ rearsegP(X298,X299)
| rearsegP(X301,X300) ),
theory(equality) ).
cnf(c610,plain,
( skolem0004 != X787
| skolem0003 != X786
| rearsegP(X787,X786) ),
inference(resolution,[status(thm)],[c10,c35]) ).
cnf(c15199,plain,
( skolem0004 != X863
| rearsegP(X863,skolem0003) ),
inference(resolution,[status(thm)],[c610,reflexivity]) ).
cnf(c15685,plain,
rearsegP(nil,skolem0003),
inference(resolution,[status(thm)],[c15199,c764]) ).
cnf(c15693,plain,
( ~ ssList(skolem0003)
| nil = skolem0003 ),
inference(resolution,[status(thm)],[c15685,c201]) ).
cnf(c19578,plain,
nil = skolem0003,
inference(resolution,[status(thm)],[c15693,c30]) ).
cnf(c19586,plain,
nil = skolem0001,
inference(resolution,[status(thm)],[c19578,c542]) ).
cnf(c19766,plain,
$false,
inference(resolution,[status(thm)],[c19586,c36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC044+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 02:34:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 7.07/7.30 % Version: 1.5
% 7.07/7.30 % SZS status Theorem
% 7.07/7.30 % SZS output start CNFRefutation
% See solution above
% 7.07/7.30
% 7.07/7.30 % Initial clauses : 225
% 7.07/7.30 % Processed clauses : 1036
% 7.07/7.30 % Factors computed : 51
% 7.07/7.30 % Resolvents computed: 19255
% 7.07/7.30 % Tautologies deleted: 23
% 7.07/7.30 % Forward subsumed : 605
% 7.07/7.30 % Backward subsumed : 24
% 7.07/7.30 % -------- CPU Time ---------
% 7.07/7.30 % User time : 6.892 s
% 7.07/7.30 % System time : 0.057 s
% 7.07/7.30 % Total time : 6.949 s
%------------------------------------------------------------------------------