TSTP Solution File: RNG090+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG090+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Wed May 31 12:32:51 EDT 2023
% Result : Theorem 4.40s 0.98s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 15 unt; 1 def)
% Number of atoms : 295 ( 31 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 342 ( 145 ~; 146 |; 32 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 68 (; 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
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(f25,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,conjecture,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f40,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| aElement0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f44,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f45,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| ~ aElement0(W2)
| sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f76,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ~ aElementOf0(W1,W0)
| aElement0(W1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f106,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(f107,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)],[f106]) ).
fof(f108,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)],[f107]) ).
fof(f109,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)],[f108]) ).
fof(f110,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f118,plain,
aIdeal0(xI),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f119,plain,
aIdeal0(xJ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f123,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f124,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f125,plain,
xx = sdtpldt0(xk,xl),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f126,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f127,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f128,plain,
xy = sdtpldt0(xm,xn),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f130,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f133,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f1064,plain,
( spl0_0
<=> aSet0(xJ) ),
introduced(split_symbol_definition) ).
fof(f1066,plain,
( ~ aSet0(xJ)
| spl0_0 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,plain,
( spl0_1
<=> aElement0(sdtpldt0(xl,xn)) ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( aElement0(sdtpldt0(xl,xn))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ aSet0(xJ)
| aElement0(sdtpldt0(xl,xn)) ),
inference(resolution,[status(thm)],[f77,f130]) ).
fof(f1071,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f1070,f1064,f1067]) ).
fof(f1072,plain,
( spl0_2
<=> aSet0(xI) ),
introduced(split_symbol_definition) ).
fof(f1074,plain,
( ~ aSet0(xI)
| spl0_2 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1093,plain,
( spl0_7
<=> aElement0(xn) ),
introduced(split_symbol_definition) ).
fof(f1094,plain,
( aElement0(xn)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( ~ aSet0(xJ)
| aElement0(xn) ),
inference(resolution,[status(thm)],[f77,f127]) ).
fof(f1097,plain,
( ~ spl0_0
| spl0_7 ),
inference(split_clause,[status(thm)],[f1096,f1064,f1093]) ).
fof(f1098,plain,
( spl0_8
<=> aElement0(xm) ),
introduced(split_symbol_definition) ).
fof(f1099,plain,
( aElement0(xm)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ aSet0(xI)
| aElement0(xm) ),
inference(resolution,[status(thm)],[f77,f126]) ).
fof(f1102,plain,
( ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f1101,f1072,f1098]) ).
fof(f1103,plain,
( spl0_9
<=> aElement0(xl) ),
introduced(split_symbol_definition) ).
fof(f1104,plain,
( aElement0(xl)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1106,plain,
( ~ aSet0(xJ)
| aElement0(xl) ),
inference(resolution,[status(thm)],[f77,f124]) ).
fof(f1107,plain,
( ~ spl0_0
| spl0_9 ),
inference(split_clause,[status(thm)],[f1106,f1064,f1103]) ).
fof(f1108,plain,
( spl0_10
<=> aElement0(xk) ),
introduced(split_symbol_definition) ).
fof(f1109,plain,
( aElement0(xk)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ aSet0(xI)
| aElement0(xk) ),
inference(resolution,[status(thm)],[f77,f123]) ).
fof(f1112,plain,
( ~ spl0_2
| spl0_10 ),
inference(split_clause,[status(thm)],[f1111,f1072,f1108]) ).
fof(f1142,plain,
( spl0_11
<=> aIdeal0(xJ) ),
introduced(split_symbol_definition) ).
fof(f1143,plain,
( aIdeal0(xJ)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
( ~ aIdeal0(xJ)
| spl0_11 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1150,plain,
( spl0_13
<=> aIdeal0(xI) ),
introduced(split_symbol_definition) ).
fof(f1151,plain,
( aIdeal0(xI)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1152,plain,
( ~ aIdeal0(xI)
| spl0_13 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1298,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f1152]) ).
fof(f1299,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1312,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f1144]) ).
fof(f1313,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1350,plain,
( aSet0(xI)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f1151,f110]) ).
fof(f1351,plain,
( $false
| spl0_2
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1350,f1074]) ).
fof(f1352,plain,
( spl0_2
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1382,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1099,f47]) ).
fof(f1384,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(sdtpldt0(xm,X0))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1099,f41]) ).
fof(f1414,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(xk,X0),X1) = sdtpldt0(xk,sdtpldt0(X0,X1))
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1109,f47]) ).
fof(f1666,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(xk,xm),X0) = sdtpldt0(xk,sdtpldt0(xm,X0))
| ~ spl0_10
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1414,f1099]) ).
fof(f1692,plain,
( aSet0(xJ)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f1143,f110]) ).
fof(f1693,plain,
( $false
| spl0_0
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1692,f1066]) ).
fof(f1694,plain,
( spl0_0
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1693]) ).
fof(f1757,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(xm,xn),X0) = sdtpldt0(xm,sdtpldt0(xn,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1094,f1382]) ).
fof(f1758,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xy,X0) = sdtpldt0(xm,sdtpldt0(xn,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f128,f1757]) ).
fof(f1769,plain,
( aElement0(sdtpldt0(xm,xn))
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1094,f1384]) ).
fof(f1770,plain,
( aElement0(xy)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f128,f1769]) ).
fof(f1800,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f1094,f45]) ).
fof(f1804,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(xk,xl),X0) = sdtpldt0(xk,sdtpldt0(xl,X0))
| ~ spl0_9
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1104,f1414]) ).
fof(f1805,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(xk,sdtpldt0(xl,X0))
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f1804]) ).
fof(f1851,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xl,X0) = sdtpldt0(X0,xl)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f1104,f45]) ).
fof(f2069,plain,
( sdtpldt0(xn,xl) = sdtpldt0(xl,xn)
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f1800,f1104]) ).
fof(f2169,plain,
( sdtpldt0(xl,xy) = sdtpldt0(xy,xl)
| ~ spl0_9
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1851,f1770]) ).
fof(f2432,plain,
( sdtpldt0(xy,xl) = sdtpldt0(xm,sdtpldt0(xn,xl))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f1758,f1104]) ).
fof(f2433,plain,
( sdtpldt0(xy,xl) = sdtpldt0(xm,sdtpldt0(xl,xn))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f2069,f2432]) ).
fof(f2451,plain,
( sdtpldt0(xx,xy) = sdtpldt0(xk,sdtpldt0(xl,xy))
| ~ spl0_9
| ~ spl0_10
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1805,f1770]) ).
fof(f2452,plain,
( sdtpldt0(xx,xy) = sdtpldt0(xk,sdtpldt0(xy,xl))
| ~ spl0_9
| ~ spl0_10
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f2169,f2451]) ).
fof(f2720,plain,
( sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ spl0_10
| ~ spl0_8
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f1666,f1068]) ).
fof(f2721,plain,
( sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xk,sdtpldt0(xy,xl))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_8
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2433,f2720]) ).
fof(f2722,plain,
( sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xx,xy)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_8
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2452,f2721]) ).
fof(f2723,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_8
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2722,f133]) ).
fof(f2724,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_8
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2723]) ).
fof(f2725,plain,
$false,
inference(sat_refutation,[status(thm)],[f1071,f1097,f1102,f1107,f1112,f1299,f1313,f1352,f1694,f2724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG090+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:31:20 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 4.40/0.98 % Refutation found
% 4.40/0.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.40/0.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.90/1.00 % Elapsed time: 0.689415 seconds
% 4.90/1.00 % CPU time: 4.928901 seconds
% 4.90/1.00 % Memory used: 105.547 MB
%------------------------------------------------------------------------------