TSTP Solution File: SWC040+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC040+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 0.90s 1.09s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 113 ( 67 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 128 ( 35 ~; 29 |; 52 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != V
| V != X
| U != W
| nil = U
| ( nil != W
& nil = X )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(cons(Y,nil),Z) != W
| app(Z,cons(Y,nil)) != X ) ) )
& neq(X,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox/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
| nil = U
| ( nil != W
& nil = X )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(cons(Y,nil),Z) != W
| app(Z,cons(Y,nil)) != X ) ) )
& neq(X,nil) ) ) ) ) ) ),
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
& nil != U
& ( nil = W
| nil != X )
& ( ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssList(Z)
& app(cons(Y,nil),Z) = W
& app(Z,cons(Y,nil)) = X ) )
| ~ neq(X,nil) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[c23]) ).
fof(c25,negated_conjecture,
? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& nil = X3
& X3 = X5
& X2 = X4
& nil != X2
& ( nil = X4
| nil != X5 )
& ( ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X4
& app(X7,cons(X6,nil)) = X5 ) )
| ~ neq(X5,nil) ) ) ) ) ),
inference(variable_rename,[status(thm)],[c24]) ).
fof(c26,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& nil = skolem0002
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& nil != skolem0001
& ( nil = skolem0003
| nil != skolem0004 )
& ( ( ssItem(skolem0005)
& ssList(skolem0006)
& app(cons(skolem0005,nil),skolem0006) = skolem0003
& app(skolem0006,cons(skolem0005,nil)) = skolem0004 )
| ~ neq(skolem0004,nil) ) ),
inference(skolemize,[status(esa)],[c25]) ).
fof(c27,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& nil = skolem0002
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& nil != skolem0001
& ( nil = skolem0003
| nil != skolem0004 )
& ( ssItem(skolem0005)
| ~ neq(skolem0004,nil) )
& ( ssList(skolem0006)
| ~ neq(skolem0004,nil) )
& ( app(cons(skolem0005,nil),skolem0006) = skolem0003
| ~ neq(skolem0004,nil) )
& ( app(skolem0006,cons(skolem0005,nil)) = skolem0004
| ~ neq(skolem0004,nil) ) ),
inference(distribute,[status(thm)],[c26]) ).
cnf(c35,negated_conjecture,
nil != skolem0001,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c36,negated_conjecture,
( nil = skolem0003
| nil != skolem0004 ),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c32,negated_conjecture,
nil = skolem0002,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(transitivity,axiom,
( X257 != X255
| X255 != X256
| X257 = X256 ),
theory(equality) ).
cnf(c33,negated_conjecture,
skolem0002 = skolem0004,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c519,plain,
( X378 != skolem0002
| X378 = skolem0004 ),
inference(resolution,[status(thm)],[c33,transitivity]) ).
cnf(c731,plain,
nil = skolem0004,
inference(resolution,[status(thm)],[c519,c32]) ).
cnf(c739,plain,
nil = skolem0003,
inference(resolution,[status(thm)],[c731,c36]) ).
cnf(symmetry,axiom,
( X254 != X253
| X253 = X254 ),
theory(equality) ).
cnf(c34,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c523,plain,
skolem0003 = skolem0001,
inference(resolution,[status(thm)],[c34,symmetry]) ).
cnf(c537,plain,
( X428 != skolem0003
| X428 = skolem0001 ),
inference(resolution,[status(thm)],[c523,transitivity]) ).
cnf(c974,plain,
nil = skolem0001,
inference(resolution,[status(thm)],[c537,c739]) ).
cnf(c1019,plain,
$false,
inference(resolution,[status(thm)],[c974,c35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC040+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.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 : Thu May 9 02:25:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.90/1.09 % Version: 1.5
% 0.90/1.09 % SZS status Theorem
% 0.90/1.09 % SZS output start CNFRefutation
% See solution above
% 0.90/1.09
% 0.90/1.09 % Initial clauses : 229
% 0.90/1.09 % Processed clauses : 251
% 0.90/1.09 % Factors computed : 12
% 0.90/1.09 % Resolvents computed: 513
% 0.90/1.09 % Tautologies deleted: 14
% 0.90/1.09 % Forward subsumed : 111
% 0.90/1.09 % Backward subsumed : 36
% 0.90/1.09 % -------- CPU Time ---------
% 0.90/1.09 % User time : 0.728 s
% 0.90/1.09 % System time : 0.017 s
% 0.90/1.09 % Total time : 0.745 s
%------------------------------------------------------------------------------