TSTP Solution File: RNG118+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG118+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:38:03 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 87 ( 12 unt; 2 def)
% Number of atoms : 351 ( 73 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 418 ( 154 ~; 163 |; 76 &)
% ( 16 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 109 ( 85 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
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(f24,definition,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1)
& W1 != sz00 )
=> ? [W2,W3] :
( aElement0(W2)
& aElement0(W3)
& W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
& ( W3 != sz00
=> iLess0(sbrdtbr0(W3),sbrdtbr0(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,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( aElementOf0(W0,xI)
& W0 != sz00 )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,conjecture,
? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xb = sdtpldt0(sdtasdt0(W0,xu),W1)
& ( W1 = sz00
| iLess0(sbrdtbr0(W1),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
~ ? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xb = sdtpldt0(sdtasdt0(W0,xu),W1)
& ( W1 = sz00
| iLess0(sbrdtbr0(W1),sbrdtbr0(xu)) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f55,plain,
aElement0(sz00),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f95,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ~ aElementOf0(W1,W0)
| aElement0(W1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f125,plain,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| ( ! [W2] :
( ~ aElementOf0(W2,W0)
| aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( ~ aElement0(W2)
| aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f126,plain,
! [W0] :
( ( ~ aIdeal0(W0)
| ( aSet0(W0)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| ( ! [W2] :
( ~ aElementOf0(W2,W0)
| aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( ~ aElement0(W2)
| aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) )
& ( aIdeal0(W0)
| ~ aSet0(W0)
| ? [W1] :
( aElementOf0(W1,W0)
& ( ? [W2] :
( aElementOf0(W2,W0)
& ~ aElementOf0(sdtpldt0(W1,W2),W0) )
| ? [W2] :
( aElement0(W2)
& ~ aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f125]) ).
fof(f127,plain,
( ! [W0] :
( ~ aIdeal0(W0)
| ( aSet0(W0)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| ( ! [W2] :
( ~ aElementOf0(W2,W0)
| aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( ~ aElement0(W2)
| aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) )
& ! [W0] :
( aIdeal0(W0)
| ~ aSet0(W0)
| ? [W1] :
( aElementOf0(W1,W0)
& ( ? [W2] :
( aElementOf0(W2,W0)
& ~ aElementOf0(sdtpldt0(W1,W2),W0) )
| ? [W2] :
( aElement0(W2)
& ~ aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f126]) ).
fof(f128,plain,
( ! [W0] :
( ~ aIdeal0(W0)
| ( aSet0(W0)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| ( ! [W2] :
( ~ aElementOf0(W2,W0)
| aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( ~ aElement0(W2)
| aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) )
& ! [W0] :
( aIdeal0(W0)
| ~ aSet0(W0)
| ( aElementOf0(sk0_8(W0),W0)
& ( ( aElementOf0(sk0_9(W0),W0)
& ~ aElementOf0(sdtpldt0(sk0_8(W0),sk0_9(W0)),W0) )
| ( aElement0(sk0_10(W0))
& ~ aElementOf0(sdtasdt0(sk0_10(W0),sk0_8(W0)),W0) ) ) ) ) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f129,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f158,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| W1 = sz00
| ? [W2,W3] :
( aElement0(W2)
& aElement0(W3)
& W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
& ( W3 = sz00
| iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f159,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| W1 = sz00
| ? [W3] :
( ? [W2] :
( aElement0(W2)
& aElement0(W3)
& W0 = sdtpldt0(sdtasdt0(W2,W1),W3) )
& ( W3 = sz00
| iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ),
inference(miniscoping,[status(esa)],[f158]) ).
fof(f160,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| W1 = sz00
| ( aElement0(sk0_14(W1,W0))
& aElement0(sk0_13(W1,W0))
& W0 = sdtpldt0(sdtasdt0(sk0_14(W1,W0),W1),sk0_13(W1,W0))
& ( sk0_13(W1,W0) = sz00
| iLess0(sbrdtbr0(sk0_13(W1,W0)),sbrdtbr0(W1)) ) ) ),
inference(skolemization,[status(esa)],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| X1 = sz00
| aElement0(sk0_14(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| X1 = sz00
| aElement0(sk0_13(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| X1 = sz00
| X0 = sdtpldt0(sdtasdt0(sk0_14(X1,X0),X1),sk0_13(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| X1 = sz00
| sk0_13(X1,X0) = sz00
| iLess0(sbrdtbr0(sk0_13(X1,X0)),sbrdtbr0(X1)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f191,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(f192,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)],[f191]) ).
fof(f193,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)],[f192]) ).
fof(f194,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)],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| aSet0(X1) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f205,plain,
aElement0(xb),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f208,plain,
aIdeal0(xI),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f213,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f217,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ~ aElementOf0(W0,xI)
| W0 = sz00
| ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f218,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f219,plain,
xu != sz00,
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f229,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| xb != sdtpldt0(sdtasdt0(W0,xu),W1)
| ( W1 != sz00
& ~ iLess0(sbrdtbr0(W1),sbrdtbr0(xu)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f51]) ).
fof(f230,plain,
! [W1] :
( ! [W0] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| xb != sdtpldt0(sdtasdt0(W0,xu),W1) )
| ( W1 != sz00
& ~ iLess0(sbrdtbr0(W1),sbrdtbr0(xu)) ) ),
inference(miniscoping,[status(esa)],[f229]) ).
fof(f231,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| X1 != sz00 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f268,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f195]) ).
fof(f272,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sz00)
| xb != sdtpldt0(sdtasdt0(X0,xu),sz00) ),
inference(destructive_equality_resolution,[status(esa)],[f231]) ).
fof(f274,plain,
! [X0] :
( ~ aElement0(X0)
| xb != sdtpldt0(sdtasdt0(X0,xu),sz00) ),
inference(backward_subsumption_resolution,[status(thm)],[f272,f55]) ).
fof(f275,plain,
aSet0(xI),
inference(resolution,[status(thm)],[f129,f208]) ).
fof(f305,plain,
( spl0_10
<=> aElement0(xu) ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( spl0_11
<=> xu = sz00 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( xu = sz00
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f323,plain,
( spl0_14
<=> aSet0(xI) ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( ~ aSet0(xI)
| spl0_14 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( ~ aSet0(xI)
| aElement0(xu) ),
inference(resolution,[status(thm)],[f96,f218]) ).
fof(f327,plain,
( ~ spl0_14
| spl0_10 ),
inference(split_clause,[status(thm)],[f326,f323,f305]) ).
fof(f328,plain,
( spl0_15
<=> aSet0(slsdtgt0(xb)) ),
introduced(split_symbol_definition) ).
fof(f330,plain,
( ~ aSet0(slsdtgt0(xb))
| spl0_15 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_16
<=> aElement0(xb) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( ~ aSet0(slsdtgt0(xb))
| aElement0(xb) ),
inference(resolution,[status(thm)],[f96,f213]) ).
fof(f335,plain,
( ~ spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f334,f328,f331]) ).
fof(f340,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f275]) ).
fof(f341,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( ~ aElement0(xb)
| spl0_15 ),
inference(resolution,[status(thm)],[f330,f268]) ).
fof(f344,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f205]) ).
fof(f345,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f687,plain,
( spl0_45
<=> aElement0(sk0_14(xu,xb)) ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( ~ aElement0(sk0_14(xu,xb))
| spl0_45 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_46
<=> aElement0(sk0_13(xu,xb)) ),
introduced(split_symbol_definition) ).
fof(f692,plain,
( ~ aElement0(sk0_13(xu,xb))
| spl0_46 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( spl0_47
<=> iLess0(sbrdtbr0(sk0_13(xu,xb)),sbrdtbr0(xu)) ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( ~ iLess0(sbrdtbr0(sk0_13(xu,xb)),sbrdtbr0(xu))
| spl0_47 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| ~ aElement0(sk0_14(xu,xb))
| ~ aElement0(sk0_13(xu,xb))
| ~ iLess0(sbrdtbr0(sk0_13(xu,xb)),sbrdtbr0(xu)) ),
inference(resolution,[status(thm)],[f163,f232]) ).
fof(f697,plain,
( ~ spl0_16
| ~ spl0_10
| spl0_11
| ~ spl0_45
| ~ spl0_46
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f696,f331,f305,f308,f687,f690,f693]) ).
fof(f698,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f219]) ).
fof(f699,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( spl0_48
<=> sk0_13(xu,xb) = sz00 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( sk0_13(xu,xb) = sz00
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| sk0_13(xu,xb) = sz00
| spl0_47 ),
inference(resolution,[status(thm)],[f695,f164]) ).
fof(f704,plain,
( ~ spl0_16
| ~ spl0_10
| spl0_11
| spl0_48
| spl0_47 ),
inference(split_clause,[status(thm)],[f703,f331,f305,f308,f700,f693]) ).
fof(f705,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| spl0_46 ),
inference(resolution,[status(thm)],[f692,f162]) ).
fof(f706,plain,
( ~ spl0_16
| ~ spl0_10
| spl0_11
| spl0_46 ),
inference(split_clause,[status(thm)],[f705,f331,f305,f308,f690]) ).
fof(f707,plain,
( spl0_49
<=> xb = sdtpldt0(sdtasdt0(sk0_14(xu,xb),xu),sz00) ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( xb = sdtpldt0(sdtasdt0(sk0_14(xu,xb),xu),sz00)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| xb = sdtpldt0(sdtasdt0(sk0_14(xu,xb),xu),sz00)
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f701,f163]) ).
fof(f711,plain,
( ~ spl0_16
| ~ spl0_10
| spl0_11
| spl0_49
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f710,f331,f305,f308,f707,f700]) ).
fof(f719,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| spl0_45 ),
inference(resolution,[status(thm)],[f689,f161]) ).
fof(f720,plain,
( ~ spl0_16
| ~ spl0_10
| spl0_11
| spl0_45 ),
inference(split_clause,[status(thm)],[f719,f331,f305,f308,f687]) ).
fof(f728,plain,
( ~ aElement0(sk0_14(xu,xb))
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f708,f274]) ).
fof(f729,plain,
( ~ spl0_45
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f728,f687,f707]) ).
fof(f768,plain,
$false,
inference(sat_refutation,[status(thm)],[f327,f335,f341,f345,f697,f699,f704,f706,f711,f720,f729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG118+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n015.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 : Mon Apr 29 22:43:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42 % Elapsed time: 0.066267 seconds
% 0.21/0.42 % CPU time: 0.381864 seconds
% 0.21/0.42 % Total memory used: 65.785 MB
% 0.21/0.42 % Net memory used: 65.627 MB
%------------------------------------------------------------------------------