%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:38:21 EDT 2024
% Result : Theorem 8.22s 8.39s
% Output : Refutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 52 ( 15 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 50 ( 14 ~; 8 |; 28 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 4 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__901,plain,
( ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(c16,plain,
( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& sdtpldt0(X6,X7) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(variable_rename,[status(thm)],[m__901]) ).
fof(c17,plain,
( aElementOf0(skolem0001,xI)
& aElementOf0(skolem0002,xJ)
& sdtpldt0(skolem0001,skolem0002) = xx
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(skolem0003,xI)
& aElementOf0(skolem0004,xJ)
& sdtpldt0(skolem0003,skolem0004) = xy
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(skolemize,[status(esa)],[c16]) ).
cnf(c22,plain,
aElementOf0(skolem0003,xI),
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c23,plain,
aElementOf0(skolem0004,xJ),
inference(split_conjunct,[status(thm)],[c17]) ).
fof(m__,conjecture,
? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& xy = sdtpldt0(W0,W1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c9,negated_conjecture,
~ ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& xy = sdtpldt0(W0,W1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c10,negated_conjecture,
! [W0,W1] :
( ~ aElementOf0(W0,xI)
| ~ aElementOf0(W1,xJ)
| xy != sdtpldt0(W0,W1) ),
inference(fof_nnf,[status(thm)],[c9]) ).
fof(c11,negated_conjecture,
! [X2,X3] :
( ~ aElementOf0(X2,xI)
| ~ aElementOf0(X3,xJ)
| xy != sdtpldt0(X2,X3) ),
inference(variable_rename,[status(thm)],[c10]) ).
cnf(c12,negated_conjecture,
( ~ aElementOf0(X121,xI)
| ~ aElementOf0(X122,xJ)
| xy != sdtpldt0(X121,X122) ),
inference(split_conjunct,[status(thm)],[c11]) ).
cnf(symmetry,axiom,
( X76 != X77
| X77 = X76 ),
theory(equality) ).
cnf(c24,plain,
sdtpldt0(skolem0003,skolem0004) = xy,
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c214,plain,
xy = sdtpldt0(skolem0003,skolem0004),
inference(resolution,[status(thm)],[c24,symmetry]) ).
cnf(c305,plain,
( ~ aElementOf0(skolem0003,xI)
| ~ aElementOf0(skolem0004,xJ) ),
inference(resolution,[status(thm)],[c214,c12]) ).
cnf(c27888,plain,
~ aElementOf0(skolem0003,xI),
inference(resolution,[status(thm)],[c305,c23]) ).
cnf(c27889,plain,
$false,
inference(resolution,[status(thm)],[c27888,c22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n011.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 : Wed May 8 21:22:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 8.22/8.39 % Version: 1.5
% 8.22/8.39 % SZS status Theorem
% 8.22/8.39 % SZS output start CNFRefutation
% See solution above
% 8.22/8.39
% 8.22/8.39 % Initial clauses : 87
% 8.22/8.39 % Processed clauses : 790
% 8.22/8.39 % Factors computed : 34
% 8.22/8.39 % Resolvents computed: 27702
% 8.22/8.39 % Tautologies deleted: 5
% 8.22/8.39 % Forward subsumed : 112
% 8.22/8.39 % Backward subsumed : 10
% 8.22/8.39 % -------- CPU Time ---------
% 8.22/8.39 % User time : 7.980 s
% 8.22/8.39 % System time : 0.057 s
% 8.22/8.39 % Total time : 8.037 s
%------------------------------------------------------------------------------