TSTP Solution File: RNG119+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG119+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Tue Apr 30 20:38:04 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 72 ( 13 unt; 1 def)
% Number of atoms : 344 ( 88 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 408 ( 136 ~; 129 |; 116 &)
% ( 17 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 137 ( 106 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0] :
( aElement0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,definition,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( W1 = slsdtgt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xa,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xb,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,xI)
<=> ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
| aElementOf0(W0,xI) )
& W0 != sz00 )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,hypothesis,
~ ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xu,W0) = xb )
| doDivides0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,conjecture,
xr != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
~ ( xr != sz00 ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f62,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| aElement0(sdtasdt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f68,plain,
! [W0] :
( ~ aElement0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f69,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f74,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f96,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ~ aElementOf0(W1,W0)
| aElement0(W1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f192,plain,
! [W0] :
( ~ aElement0(W0)
| ! [W1] :
( W1 = slsdtgt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f193,plain,
! [W0] :
( ~ aElement0(W0)
| ! [W1] :
( ( W1 != slsdtgt0(W0)
| ( aSet0(W1)
& ! [W2] :
( ( ~ aElementOf0(W2,W1)
| ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) )
& ( aElementOf0(W2,W1)
| ! [W3] :
( ~ aElement0(W3)
| sdtasdt0(W0,W3) != W2 ) ) ) ) )
& ( W1 = slsdtgt0(W0)
| ~ aSet0(W1)
| ? [W2] :
( ( ~ aElementOf0(W2,W1)
| ! [W3] :
( ~ aElement0(W3)
| sdtasdt0(W0,W3) != W2 ) )
& ( aElementOf0(W2,W1)
| ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f192]) ).
fof(f194,plain,
! [W0] :
( ~ aElement0(W0)
| ( ! [W1] :
( W1 != slsdtgt0(W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) )
& ! [W2] :
( aElementOf0(W2,W1)
| ! [W3] :
( ~ aElement0(W3)
| sdtasdt0(W0,W3) != W2 ) ) ) )
& ! [W1] :
( W1 = slsdtgt0(W0)
| ~ aSet0(W1)
| ? [W2] :
( ( ~ aElementOf0(W2,W1)
| ! [W3] :
( ~ aElement0(W3)
| sdtasdt0(W0,W3) != W2 ) )
& ( aElementOf0(W2,W1)
| ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f193]) ).
fof(f195,plain,
! [W0] :
( ~ aElement0(W0)
| ( ! [W1] :
( W1 != slsdtgt0(W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| ( aElement0(sk0_17(W2,W1,W0))
& sdtasdt0(W0,sk0_17(W2,W1,W0)) = W2 ) )
& ! [W2] :
( aElementOf0(W2,W1)
| ! [W3] :
( ~ aElement0(W3)
| sdtasdt0(W0,W3) != W2 ) ) ) )
& ! [W1] :
( W1 = slsdtgt0(W0)
| ~ aSet0(W1)
| ( ( ~ aElementOf0(sk0_18(W1,W0),W1)
| ! [W3] :
( ~ aElement0(W3)
| sdtasdt0(W0,W3) != sk0_18(W1,W0) ) )
& ( aElementOf0(sk0_18(W1,W0),W1)
| ( aElement0(sk0_19(W1,W0))
& sdtasdt0(W0,sk0_19(W1,W0)) = sk0_18(W1,W0) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f194]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| aSet0(X1) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f205,plain,
aElement0(xa),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f226,plain,
( aSet0(xI)
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ( ! [W1] :
( ~ aElementOf0(W1,xI)
| aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( ~ aElement0(W1)
| aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xa,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xb,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,xI)
<=> ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f227,plain,
( aSet0(xI)
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ( ! [W1] :
( ~ aElementOf0(W1,xI)
| aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( ~ aElement0(W1)
| aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( ( ~ aElementOf0(W0,slsdtgt0(xa))
| ? [W1] :
( aElement0(W1)
& sdtasdt0(xa,W1) = W0 ) )
& ( aElementOf0(W0,slsdtgt0(xa))
| ! [W1] :
( ~ aElement0(W1)
| sdtasdt0(xa,W1) != W0 ) ) )
& ! [W0] :
( ( ~ aElementOf0(W0,slsdtgt0(xb))
| ? [W1] :
( aElement0(W1)
& sdtasdt0(xb,W1) = W0 ) )
& ( aElementOf0(W0,slsdtgt0(xb))
| ! [W1] :
( ~ aElement0(W1)
| sdtasdt0(xb,W1) != W0 ) ) )
& ! [W0] :
( ( ~ aElementOf0(W0,xI)
| ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 ) )
& ( aElementOf0(W0,xI)
| ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 ) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(NNF_transformation,[status(esa)],[f226]) ).
fof(f228,plain,
( aSet0(xI)
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ( ! [W1] :
( ~ aElementOf0(W1,xI)
| aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( ~ aElement0(W1)
| aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( ~ aElementOf0(W0,slsdtgt0(xa))
| ? [W1] :
( aElement0(W1)
& sdtasdt0(xa,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
| ! [W1] :
( ~ aElement0(W1)
| sdtasdt0(xa,W1) != W0 ) )
& ! [W0] :
( ~ aElementOf0(W0,slsdtgt0(xb))
| ? [W1] :
( aElement0(W1)
& sdtasdt0(xb,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
| ! [W1] :
( ~ aElement0(W1)
| sdtasdt0(xb,W1) != W0 ) )
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 ) )
& ! [W0] :
( aElementOf0(W0,xI)
| ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(miniscoping,[status(esa)],[f227]) ).
fof(f229,plain,
( aSet0(xI)
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ( ! [W1] :
( ~ aElementOf0(W1,xI)
| aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( ~ aElement0(W1)
| aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( ~ aElementOf0(W0,slsdtgt0(xa))
| ( aElement0(sk0_23(W0))
& sdtasdt0(xa,sk0_23(W0)) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
| ! [W1] :
( ~ aElement0(W1)
| sdtasdt0(xa,W1) != W0 ) )
& ! [W0] :
( ~ aElementOf0(W0,slsdtgt0(xb))
| ( aElement0(sk0_24(W0))
& sdtasdt0(xb,sk0_24(W0)) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
| ! [W1] :
( ~ aElement0(W1)
| sdtasdt0(xb,W1) != W0 ) )
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ( aElementOf0(sk0_25(W0),slsdtgt0(xa))
& aElementOf0(sk0_26(W0),slsdtgt0(xb))
& sdtpldt0(sk0_25(W0),sk0_26(W0)) = W0 ) )
& ! [W0] :
( aElementOf0(W0,xI)
| ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(skolemization,[status(esa)],[f228]) ).
fof(f230,plain,
aSet0(xI),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f272,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 )
& ~ aElementOf0(W0,xI) )
| W0 = sz00
| ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f273,plain,
( aElementOf0(sk0_36,slsdtgt0(xa))
& aElementOf0(sk0_37,slsdtgt0(xb))
& sdtpldt0(sk0_36,sk0_37) = xu
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 )
& ~ aElementOf0(W0,xI) )
| W0 = sz00
| ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
inference(skolemization,[status(esa)],[f272]) ).
fof(f277,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[status(esa)],[f273]) ).
fof(f295,plain,
( ! [W0] :
( ~ aElement0(W0)
| sdtasdt0(xu,W0) != xb )
& ~ doDivides0(xu,xb) ),
inference(pre_NNF_transformation,[status(esa)],[f49]) ).
fof(f296,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xu,X0) != xb ),
inference(cnf_transformation,[status(esa)],[f295]) ).
fof(f298,plain,
aElement0(xq),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f300,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f302,plain,
xr = sz00,
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f379,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f196]) ).
fof(f431,plain,
( spl0_14
<=> aElement0(xu) ),
introduced(split_symbol_definition) ).
fof(f1161,plain,
( spl0_125
<=> aSet0(slsdtgt0(xa)) ),
introduced(split_symbol_definition) ).
fof(f1163,plain,
( ~ aSet0(slsdtgt0(xa))
| spl0_125 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1170,plain,
( spl0_126
<=> aSet0(xI) ),
introduced(split_symbol_definition) ).
fof(f1172,plain,
( ~ aSet0(xI)
| spl0_126 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( ~ aSet0(xI)
| aElement0(xu) ),
inference(resolution,[status(thm)],[f97,f277]) ).
fof(f1174,plain,
( ~ spl0_126
| spl0_14 ),
inference(split_clause,[status(thm)],[f1173,f1170,f431]) ).
fof(f1179,plain,
( $false
| spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f230]) ).
fof(f1180,plain,
spl0_126,
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1603,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),sz00),
inference(forward_demodulation,[status(thm)],[f302,f300]) ).
fof(f1604,plain,
( spl0_180
<=> aElement0(sdtasdt0(xq,xu)) ),
introduced(split_symbol_definition) ).
fof(f1606,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| spl0_180 ),
inference(component_clause,[status(thm)],[f1604]) ).
fof(f1607,plain,
( spl0_181
<=> xb = sdtasdt0(xq,xu) ),
introduced(split_symbol_definition) ).
fof(f1608,plain,
( xb = sdtasdt0(xq,xu)
| ~ spl0_181 ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| xb = sdtasdt0(xq,xu) ),
inference(paramodulation,[status(thm)],[f1603,f69]) ).
fof(f1611,plain,
( ~ spl0_180
| spl0_181 ),
inference(split_clause,[status(thm)],[f1610,f1604,f1607]) ).
fof(f1661,plain,
( spl0_188
<=> aElement0(xq) ),
introduced(split_symbol_definition) ).
fof(f1663,plain,
( ~ aElement0(xq)
| spl0_188 ),
inference(component_clause,[status(thm)],[f1661]) ).
fof(f1664,plain,
( ~ aElement0(xq)
| ~ aElement0(xu)
| spl0_180 ),
inference(resolution,[status(thm)],[f1606,f63]) ).
fof(f1665,plain,
( ~ spl0_188
| ~ spl0_14
| spl0_180 ),
inference(split_clause,[status(thm)],[f1664,f1661,f431,f1604]) ).
fof(f1666,plain,
( $false
| spl0_188 ),
inference(forward_subsumption_resolution,[status(thm)],[f1663,f298]) ).
fof(f1667,plain,
spl0_188,
inference(contradiction_clause,[status(thm)],[f1666]) ).
fof(f1694,plain,
( spl0_194
<=> sdtasdt0(xu,xq) = xb ),
introduced(split_symbol_definition) ).
fof(f1695,plain,
( sdtasdt0(xu,xq) = xb
| ~ spl0_194 ),
inference(component_clause,[status(thm)],[f1694]) ).
fof(f1697,plain,
( ~ aElement0(xu)
| ~ aElement0(xq)
| sdtasdt0(xu,xq) = xb
| ~ spl0_181 ),
inference(paramodulation,[status(thm)],[f1608,f75]) ).
fof(f1698,plain,
( ~ spl0_14
| ~ spl0_188
| spl0_194
| ~ spl0_181 ),
inference(split_clause,[status(thm)],[f1697,f431,f1661,f1694,f1607]) ).
fof(f1863,plain,
( ~ aElement0(xa)
| spl0_125 ),
inference(resolution,[status(thm)],[f1163,f379]) ).
fof(f1937,plain,
( $false
| spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f1863]) ).
fof(f1938,plain,
spl0_125,
inference(contradiction_clause,[status(thm)],[f1937]) ).
fof(f2221,plain,
( ~ aElement0(xq)
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f1695,f296]) ).
fof(f2222,plain,
( ~ spl0_188
| ~ spl0_194 ),
inference(split_clause,[status(thm)],[f2221,f1661,f1694]) ).
fof(f2259,plain,
$false,
inference(sat_refutation,[status(thm)],[f1174,f1180,f1611,f1665,f1667,f1698,f1938,f2222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG119+4 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 22:52:43 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.44 % Refutation found
% 0.20/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.47 % Elapsed time: 0.121545 seconds
% 0.20/0.47 % CPU time: 0.801216 seconds
% 0.20/0.47 % Total memory used: 73.936 MB
% 0.20/0.47 % Net memory used: 73.466 MB
%------------------------------------------------------------------------------