TSTP Solution File: NUM618+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:36:19 EDT 2024
% Result : Theorem 15.34s 15.53s
% Output : Refutation 15.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 46 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 12 |; 13 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5365,plain,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
cnf(c28,plain,
aElementOf0(xx,xO),
inference(split_conjunct,[status(thm)],[m__5365]) ).
fof(m__4982,plain,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(c49,plain,
! [W0] :
( ~ aElementOf0(W0,xO)
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
inference(fof_nnf,[status(thm)],[m__4982]) ).
fof(c50,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ? [X4] :
( aElementOf0(X4,szNzAzT0)
& aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X4) = X3 ) ),
inference(variable_rename,[status(thm)],[c49]) ).
fof(c51,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ( aElementOf0(skolem0001(X3),szNzAzT0)
& aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
inference(skolemize,[status(esa)],[c50]) ).
fof(c52,plain,
! [X3] :
( ( ~ aElementOf0(X3,xO)
| aElementOf0(skolem0001(X3),szNzAzT0) )
& ( ~ aElementOf0(X3,xO)
| aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X3,xO)
| sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
inference(distribute,[status(thm)],[c51]) ).
cnf(c53,plain,
( ~ aElementOf0(X298,xO)
| aElementOf0(skolem0001(X298),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c52]) ).
cnf(c1060,plain,
aElementOf0(skolem0001(xx),szNzAzT0),
inference(resolution,[status(thm)],[c53,c28]) ).
fof(m__,conjecture,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& xx = sdtlpdtrp0(xe,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c23,negated_conjecture,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& xx = sdtlpdtrp0(xe,W0) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c24,negated_conjecture,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| xx != sdtlpdtrp0(xe,W0) ),
inference(fof_nnf,[status(thm)],[c23]) ).
fof(c25,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| xx != sdtlpdtrp0(xe,X2) ),
inference(variable_rename,[status(thm)],[c24]) ).
cnf(c26,negated_conjecture,
( ~ aElementOf0(X294,szNzAzT0)
| xx != sdtlpdtrp0(xe,X294) ),
inference(split_conjunct,[status(thm)],[c25]) ).
cnf(symmetry,axiom,
( X197 != X198
| X198 = X197 ),
theory(equality) ).
cnf(c55,plain,
( ~ aElementOf0(X300,xO)
| sdtlpdtrp0(xe,skolem0001(X300)) = X300 ),
inference(split_conjunct,[status(thm)],[c52]) ).
cnf(c1081,plain,
sdtlpdtrp0(xe,skolem0001(xx)) = xx,
inference(resolution,[status(thm)],[c55,c28]) ).
cnf(c6171,plain,
xx = sdtlpdtrp0(xe,skolem0001(xx)),
inference(resolution,[status(thm)],[c1081,symmetry]) ).
cnf(c36609,plain,
~ aElementOf0(skolem0001(xx),szNzAzT0),
inference(resolution,[status(thm)],[c6171,c26]) ).
cnf(c36657,plain,
$false,
inference(resolution,[status(thm)],[c36609,c1060]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.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 : Wed May 8 16:29:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 15.34/15.53 % Version: 1.5
% 15.34/15.53 % SZS status Theorem
% 15.34/15.53 % SZS output start CNFRefutation
% See solution above
% 15.34/15.53
% 15.34/15.53 % Initial clauses : 248
% 15.34/15.53 % Processed clauses : 1575
% 15.34/15.53 % Factors computed : 32
% 15.34/15.53 % Resolvents computed: 36117
% 15.34/15.53 % Tautologies deleted: 25
% 15.34/15.53 % Forward subsumed : 462
% 15.34/15.53 % Backward subsumed : 65
% 15.34/15.53 % -------- CPU Time ---------
% 15.34/15.53 % User time : 15.069 s
% 15.34/15.53 % System time : 0.085 s
% 15.34/15.53 % Total time : 15.154 s
%------------------------------------------------------------------------------