TSTP Solution File: RNG087+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : RNG087+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : 600s
% DateTime : Mon Jul 18 20:39:35 EDT 2022
% Result : Theorem 6.81s 7.04s
% Output : Refutation 6.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% 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) ),
input ).
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) ),
input ).
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(X120,xI)
| ~ aElementOf0(X121,xJ)
| xy != sdtpldt0(X120,X121) ),
inference(split_conjunct,status(thm),[c11]) ).
cnf(symmetry,axiom,
( X76 != X77
| X77 = X76 ),
eq_axiom ).
cnf(c24,plain,
sdtpldt0(skolem0003,skolem0004) = xy,
inference(split_conjunct,status(thm),[c17]) ).
cnf(c199,plain,
xy = sdtpldt0(skolem0003,skolem0004),
inference(resolution,status(thm),[c24,symmetry]) ).
cnf(c292,plain,
( ~ aElementOf0(skolem0003,xI)
| ~ aElementOf0(skolem0004,xJ) ),
inference(resolution,status(thm),[c199,c12]) ).
cnf(c25250,plain,
~ aElementOf0(skolem0003,xI),
inference(resolution,status(thm),[c292,c23]) ).
cnf(c25251,plain,
$false,
inference(resolution,status(thm),[c25250,c22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG087+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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 : 600
% 0.13/0.34 % DateTime : Mon May 30 13:33:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.81/7.04 # Version: 1.3
% 6.81/7.04 # SZS status Theorem
% 6.81/7.04 # SZS output start CNFRefutation
% See solution above
% 6.81/7.04
% 6.81/7.04 # Initial clauses : 87
% 6.81/7.04 # Processed clauses : 755
% 6.81/7.04 # Factors computed : 0
% 6.81/7.04 # Resolvents computed: 25098
% 6.81/7.04 # Tautologies deleted: 4
% 6.81/7.04 # Forward subsumed : 82
% 6.81/7.04 # Backward subsumed : 11
% 6.81/7.04 # -------- CPU Time ---------
% 6.81/7.04 # User time : 6.644 s
% 6.81/7.04 # System time : 0.044 s
% 6.81/7.04 # Total time : 6.688 s
%------------------------------------------------------------------------------