%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC289+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 17:43:46 EDT 2024
% Result : Theorem 0.71s 0.91s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 61 ( 17 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 65 ( 19 ~; 13 |; 21 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ strictorderedP(W)
| strictorderedP(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
| ~ strictorderedP(W)
| strictorderedP(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
| ~ strictorderedP(W)
| strictorderedP(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
& strictorderedP(W)
& ~ strictorderedP(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
& strictorderedP(X4)
& ~ strictorderedP(X2) ) ) ) ),
inference(variable_rename,[status(thm)],[c25]) ).
fof(c27,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& strictorderedP(skolem0003)
& ~ strictorderedP(skolem0001) ),
inference(skolemize,[status(esa)],[c26]) ).
cnf(c35,negated_conjecture,
~ strictorderedP(skolem0001),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c34,negated_conjecture,
strictorderedP(skolem0003),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(symmetry,axiom,
( X251 != X252
| X252 = X251 ),
theory(equality) ).
cnf(c33,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c518,plain,
skolem0003 = skolem0001,
inference(resolution,[status(thm)],[c33,symmetry]) ).
cnf(c18,axiom,
( X334 != X333
| ~ strictorderedP(X334)
| strictorderedP(X333) ),
theory(equality) ).
cnf(c640,plain,
( ~ strictorderedP(skolem0003)
| strictorderedP(skolem0001) ),
inference(resolution,[status(thm)],[c18,c518]) ).
cnf(c646,plain,
strictorderedP(skolem0001),
inference(resolution,[status(thm)],[c640,c34]) ).
cnf(c652,plain,
$false,
inference(resolution,[status(thm)],[c646,c35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC289+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % 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 02:12:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.71/0.91 % Version: 1.5
% 0.71/0.91 % SZS status Theorem
% 0.71/0.91 % SZS output start CNFRefutation
% See solution above
% 0.71/0.91
% 0.71/0.91 % Initial clauses : 224
% 0.71/0.91 % Processed clauses : 115
% 0.71/0.91 % Factors computed : 3
% 0.71/0.91 % Resolvents computed: 145
% 0.71/0.91 % Tautologies deleted: 11
% 0.71/0.91 % Forward subsumed : 13
% 0.71/0.91 % Backward subsumed : 1
% 0.71/0.91 % -------- CPU Time ---------
% 0.71/0.91 % User time : 0.516 s
% 0.71/0.91 % System time : 0.019 s
% 0.71/0.91 % Total time : 0.535 s
%------------------------------------------------------------------------------