TSTP Solution File: RNG050+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:38:17 EDT 2024
% Result : Theorem 5.82s 6.07s
% Output : Refutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 67 ( 30 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 30 ~; 27 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c13,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c14,negated_conjecture,
( ( aDimensionOf0(xs) = sz00
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
& ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(fof_nnf,[status(thm)],[c13]) ).
cnf(c16,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(reflexivity,axiom,
X66 = X66,
theory(equality) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
cnf(c126,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(mLERef,axiom,
! [W0] :
( aScalar0(W0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(c78,plain,
! [W0] :
( ~ aScalar0(W0)
| sdtlseqdt0(W0,W0) ),
inference(fof_nnf,[status(thm)],[mLERef]) ).
fof(c79,plain,
! [X39] :
( ~ aScalar0(X39)
| sdtlseqdt0(X39,X39) ),
inference(variable_rename,[status(thm)],[c78]) ).
cnf(c80,plain,
( ~ aScalar0(X67)
| sdtlseqdt0(X67,X67) ),
inference(split_conjunct,[status(thm)],[c79]) ).
cnf(c151,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(resolution,[status(thm)],[c80,c126]) ).
cnf(c11,axiom,
( X128 != X130
| X129 != X131
| ~ sdtlseqdt0(X128,X129)
| sdtlseqdt0(X130,X131) ),
theory(equality) ).
cnf(c291,plain,
( sz0z00 != X278
| sz0z00 != X277
| sdtlseqdt0(X278,X277) ),
inference(resolution,[status(thm)],[c11,c151]) ).
cnf(symmetry,axiom,
( X69 != X68
| X68 = X69 ),
theory(equality) ).
fof(m__1542,plain,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
cnf(c20,plain,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1542]) ).
cnf(c15,negated_conjecture,
( aDimensionOf0(xs) = sz00
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c333,plain,
aDimensionOf0(xs) = sz00,
inference(resolution,[status(thm)],[c15,c16]) ).
fof(mDefSPZ,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
& aDimensionOf0(W1) = sz00 )
=> sdtasasdt0(W0,W1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(c24,plain,
! [W0,W1] :
( ~ aVector0(W0)
| ~ aVector0(W1)
| aDimensionOf0(W0) != aDimensionOf0(W1)
| aDimensionOf0(W1) != sz00
| sdtasasdt0(W0,W1) = sz0z00 ),
inference(fof_nnf,[status(thm)],[mDefSPZ]) ).
fof(c25,plain,
! [X5,X6] :
( ~ aVector0(X5)
| ~ aVector0(X6)
| aDimensionOf0(X5) != aDimensionOf0(X6)
| aDimensionOf0(X6) != sz00
| sdtasasdt0(X5,X6) = sz0z00 ),
inference(variable_rename,[status(thm)],[c24]) ).
cnf(c26,plain,
( ~ aVector0(X143)
| ~ aVector0(X142)
| aDimensionOf0(X143) != aDimensionOf0(X142)
| aDimensionOf0(X142) != sz00
| sdtasasdt0(X143,X142) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c25]) ).
cnf(c401,plain,
( ~ aVector0(X420)
| aDimensionOf0(X420) != sz00
| sdtasasdt0(X420,X420) = sz0z00 ),
inference(resolution,[status(thm)],[c26,reflexivity]) ).
cnf(c15405,plain,
( ~ aVector0(xs)
| sdtasasdt0(xs,xs) = sz0z00 ),
inference(resolution,[status(thm)],[c401,c333]) ).
cnf(c17687,plain,
sdtasasdt0(xs,xs) = sz0z00,
inference(resolution,[status(thm)],[c15405,c20]) ).
cnf(c17742,plain,
sz0z00 = sdtasasdt0(xs,xs),
inference(resolution,[status(thm)],[c17687,symmetry]) ).
cnf(c17795,plain,
( sz0z00 != X474
| sdtlseqdt0(X474,sdtasasdt0(xs,xs)) ),
inference(resolution,[status(thm)],[c17742,c291]) ).
cnf(c19731,plain,
sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(resolution,[status(thm)],[c17795,reflexivity]) ).
cnf(c19755,plain,
$false,
inference(resolution,[status(thm)],[c19731,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 21:25:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 5.82/6.07 % Version: 1.5
% 5.82/6.07 % SZS status Theorem
% 5.82/6.07 % SZS output start CNFRefutation
% See solution above
% 5.82/6.07
% 5.82/6.07 % Initial clauses : 75
% 5.82/6.07 % Processed clauses : 713
% 5.82/6.07 % Factors computed : 35
% 5.82/6.07 % Resolvents computed: 19571
% 5.82/6.07 % Tautologies deleted: 6
% 5.82/6.07 % Forward subsumed : 297
% 5.82/6.07 % Backward subsumed : 7
% 5.82/6.07 % -------- CPU Time ---------
% 5.82/6.07 % User time : 5.638 s
% 5.82/6.07 % System time : 0.054 s
% 5.82/6.07 % Total time : 5.692 s
%------------------------------------------------------------------------------