TSTP Solution File: SET159+3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET159+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : Wed May 31 12:34:09 EDT 2023
% Result : Theorem 23.62s 3.42s
% Output : CNFRefutation 23.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 105 ( 16 unt; 0 def)
% Number of atoms : 266 ( 33 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 265 ( 104 ~; 126 |; 19 &)
% ( 15 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 135 (; 128 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,C] : union(B,C) = union(C,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [B,C] :
( B = C
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [B,C,D] :
( ( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) )
& ( member(D,union(B,C))
| ( ~ member(D,B)
& ~ member(D,C) ) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
( ! [B,C,D] :
( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) )
& ! [B,C,D] :
( member(D,union(B,C))
| ( ~ member(D,B)
& ~ member(D,C) ) ) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f13,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f19,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( ~ member(D,B)
| member(D,C) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [B,C] :
( ( ~ subset(B,C)
| ! [D] :
( ~ member(D,B)
| member(D,C) ) )
& ( subset(B,C)
| ? [D] :
( member(D,B)
& ~ member(D,C) ) ) ),
inference(NNF_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
( ! [B,C] :
( ~ subset(B,C)
| ! [D] :
( ~ member(D,B)
| member(D,C) ) )
& ! [B,C] :
( subset(B,C)
| ? [D] :
( member(D,B)
& ~ member(D,C) ) ) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f23,plain,
( ! [B,C] :
( ~ subset(B,C)
| ! [D] :
( ~ member(D,B)
| member(D,C) ) )
& ! [B,C] :
( subset(B,C)
| ( member(sk0_0(C,B),B)
& ~ member(sk0_0(C,B),C) ) ) ),
inference(skolemization,[status(esa)],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sk0_0(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f28,plain,
! [B,C] :
( ( B != C
| ! [D] :
( ( ~ member(D,B)
| member(D,C) )
& ( member(D,B)
| ~ member(D,C) ) ) )
& ( B = C
| ? [D] :
( ( ~ member(D,B)
| ~ member(D,C) )
& ( member(D,B)
| member(D,C) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
( ! [B,C] :
( B != C
| ( ! [D] :
( ~ member(D,B)
| member(D,C) )
& ! [D] :
( member(D,B)
| ~ member(D,C) ) ) )
& ! [B,C] :
( B = C
| ? [D] :
( ( ~ member(D,B)
| ~ member(D,C) )
& ( member(D,B)
| member(D,C) ) ) ) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f30,plain,
( ! [B,C] :
( B != C
| ( ! [D] :
( ~ member(D,B)
| member(D,C) )
& ! [D] :
( member(D,B)
| ~ member(D,C) ) ) )
& ! [B,C] :
( B = C
| ( ( ~ member(sk0_1(C,B),B)
| ~ member(sk0_1(C,B),C) )
& ( member(sk0_1(C,B),B)
| member(sk0_1(C,B),C) ) ) ) ),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( X0 != X1
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sk0_1(X1,X0),X0)
| ~ member(sk0_1(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| member(sk0_1(X1,X0),X0)
| member(sk0_1(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f35,plain,
? [B,C,D] : union(union(B,C),D) != union(B,union(C,D)),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
union(union(sk0_2,sk0_3),sk0_4) != union(sk0_2,union(sk0_3,sk0_4)),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
union(union(sk0_2,sk0_3),sk0_4) != union(sk0_2,union(sk0_3,sk0_4)),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
union(sk0_4,union(sk0_2,sk0_3)) != union(sk0_2,union(sk0_3,sk0_4)),
inference(paramodulation,[status(thm)],[f19,f37]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| member(X0,union(union(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f12,f12]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X3,union(X1,X2)))
| member(X0,X3) ),
inference(resolution,[status(thm)],[f11,f11]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ member(X0,union(X1,X1))
| member(X0,union(X1,X2)) ),
inference(resolution,[status(thm)],[f11,f12]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| member(X0,union(X2,union(X3,X1))) ),
inference(resolution,[status(thm)],[f13,f13]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| member(X0,union(union(X2,X1),X3)) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( member(X0,union(X1,union(X2,X3)))
| ~ member(X0,X2) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f374,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sk0_0(X1,X0),union(X1,X1)) ),
inference(resolution,[status(thm)],[f26,f11]) ).
fof(f389,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| X2 != union(X1,X1)
| ~ member(sk0_0(X1,X0),X2) ),
inference(resolution,[status(thm)],[f374,f31]) ).
fof(f482,plain,
( spl0_10
<=> member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,union(sk0_3,sk0_4))) ),
introduced(split_symbol_definition) ).
fof(f483,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,union(sk0_3,sk0_4)))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,union(sk0_3,sk0_4)))
| spl0_10 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( spl0_11
<=> member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(union(sk0_2,sk0_3),sk0_4)) ),
introduced(split_symbol_definition) ).
fof(f486,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(union(sk0_2,sk0_3),sk0_4))
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(union(sk0_2,sk0_3),sk0_4))
| spl0_11 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,union(sk0_3,sk0_4)))
| ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(union(sk0_2,sk0_3),sk0_4)) ),
inference(resolution,[status(thm)],[f33,f37]) ).
fof(f489,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f488,f482,f485]) ).
fof(f527,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sk0_1(X1,X0),X0)
| ~ member(sk0_1(X1,X0),union(X1,X1)) ),
inference(resolution,[status(thm)],[f33,f11]) ).
fof(f539,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,union(sk0_3,sk0_4)))
| member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(union(sk0_2,sk0_3),sk0_4)) ),
inference(resolution,[status(thm)],[f34,f37]) ).
fof(f540,plain,
( spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f539,f482,f485]) ).
fof(f621,plain,
( spl0_12
<=> union(sk0_2,union(sk0_3,sk0_4)) = union(union(sk0_2,sk0_3),sk0_4) ),
introduced(split_symbol_definition) ).
fof(f622,plain,
( union(sk0_2,union(sk0_3,sk0_4)) = union(union(sk0_2,sk0_3),sk0_4)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f626,plain,
( spl0_13
<=> member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_3) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_3)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( spl0_14
<=> member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_4) ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_4)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( spl0_15
<=> member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_2)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_3)
| member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_4)
| member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f483,f45]) ).
fof(f636,plain,
( spl0_13
| spl0_14
| spl0_15
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f635,f626,f629,f632,f482]) ).
fof(f686,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_3)
| spl0_11 ),
inference(resolution,[status(thm)],[f487,f57]) ).
fof(f687,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_2)
| spl0_11 ),
inference(resolution,[status(thm)],[f487,f40]) ).
fof(f689,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_4)
| spl0_11 ),
inference(resolution,[status(thm)],[f487,f13]) ).
fof(f1278,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f37]) ).
fof(f1279,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1464,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_3)
| spl0_10 ),
inference(resolution,[status(thm)],[f484,f59]) ).
fof(f1465,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_4)
| spl0_10 ),
inference(resolution,[status(thm)],[f484,f56]) ).
fof(f1468,plain,
( ~ member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_2)
| spl0_10 ),
inference(resolution,[status(thm)],[f484,f12]) ).
fof(f1521,plain,
( spl0_41
<=> member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f1522,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,sk0_3))
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1524,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),union(sk0_2,sk0_3))
| member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_4)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f486,f11]) ).
fof(f1525,plain,
( spl0_41
| spl0_14
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1524,f1521,f629,f485]) ).
fof(f1625,plain,
! [X0,X1,X2,X3] :
( subset(X0,X1)
| union(X2,X3) != union(X1,X1)
| ~ member(sk0_0(X1,X0),X3) ),
inference(resolution,[status(thm)],[f389,f13]) ).
fof(f1879,plain,
! [X0] :
( union(X0,X0) = X0
| ~ member(sk0_1(X0,union(X0,X0)),union(X0,X0)) ),
inference(resolution,[status(thm)],[f527,f50]) ).
fof(f1881,plain,
! [X0] :
( union(X0,X0) = X0
| ~ member(sk0_1(X0,union(X0,X0)),X0) ),
inference(resolution,[status(thm)],[f527,f13]) ).
fof(f1982,plain,
! [X0] :
( union(X0,X0) = X0
| union(X0,X0) = X0
| member(sk0_1(X0,union(X0,X0)),X0) ),
inference(resolution,[status(thm)],[f1879,f34]) ).
fof(f1983,plain,
! [X0] :
( union(X0,X0) = X0
| member(sk0_1(X0,union(X0,X0)),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1982]) ).
fof(f1984,plain,
! [X0] : union(X0,X0) = X0,
inference(forward_subsumption_resolution,[status(thm)],[f1983,f1881]) ).
fof(f3557,plain,
( spl0_79
<=> union(sk0_4,union(sk0_2,sk0_3)) = union(sk0_2,union(sk0_3,sk0_4)) ),
introduced(split_symbol_definition) ).
fof(f3558,plain,
( union(sk0_4,union(sk0_2,sk0_3)) = union(sk0_2,union(sk0_3,sk0_4))
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f3557]) ).
fof(f3625,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f3558,f38]) ).
fof(f3626,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f3625]) ).
fof(f3650,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| union(X2,X0) != union(X1,X1)
| subset(X0,X1) ),
inference(resolution,[status(thm)],[f1625,f25]) ).
fof(f3651,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| union(X2,X0) != union(X1,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f3650]) ).
fof(f3715,plain,
! [X0,X1] : subset(X0,union(X1,X0)),
inference(resolution,[status(thm)],[f3651,f1984]) ).
fof(f3742,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f3715]) ).
fof(f5932,plain,
( spl0_100
<=> subset(sk0_3,union(union(sk0_4,union(sk0_2,sk0_3)),sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f5934,plain,
( ~ subset(sk0_3,union(union(sk0_4,union(sk0_2,sk0_3)),sk0_3))
| spl0_100 ),
inference(component_clause,[status(thm)],[f5932]) ).
fof(f5964,plain,
( $false
| spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f5934,f3715]) ).
fof(f5965,plain,
spl0_100,
inference(contradiction_clause,[status(thm)],[f5964]) ).
fof(f5987,plain,
( spl0_106
<=> subset(sk0_3,union(sk0_3,union(sk0_4,union(sk0_2,sk0_3)))) ),
introduced(split_symbol_definition) ).
fof(f5989,plain,
( ~ subset(sk0_3,union(sk0_3,union(sk0_4,union(sk0_2,sk0_3))))
| spl0_106 ),
inference(component_clause,[status(thm)],[f5987]) ).
fof(f6023,plain,
( $false
| spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f5989,f3742]) ).
fof(f6024,plain,
spl0_106,
inference(contradiction_clause,[status(thm)],[f6023]) ).
fof(f9522,plain,
( member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_2)
| member(sk0_1(union(union(sk0_2,sk0_3),sk0_4),union(sk0_2,union(sk0_3,sk0_4))),sk0_3)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f1522,f11]) ).
fof(f9523,plain,
( spl0_15
| spl0_13
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f9522,f632,f626,f1521]) ).
fof(f9566,plain,
( $false
| ~ spl0_13
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f627]) ).
fof(f9567,plain,
( ~ spl0_13
| spl0_11 ),
inference(contradiction_clause,[status(thm)],[f9566]) ).
fof(f9568,plain,
( $false
| ~ spl0_13
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1464,f627]) ).
fof(f9569,plain,
( ~ spl0_13
| spl0_10 ),
inference(contradiction_clause,[status(thm)],[f9568]) ).
fof(f9570,plain,
( $false
| ~ spl0_14
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1465,f630]) ).
fof(f9571,plain,
( ~ spl0_14
| spl0_10 ),
inference(contradiction_clause,[status(thm)],[f9570]) ).
fof(f9572,plain,
( $false
| ~ spl0_15
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1468,f633]) ).
fof(f9573,plain,
( ~ spl0_15
| spl0_10 ),
inference(contradiction_clause,[status(thm)],[f9572]) ).
fof(f9574,plain,
( $false
| ~ spl0_15
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f633]) ).
fof(f9575,plain,
( ~ spl0_15
| spl0_11 ),
inference(contradiction_clause,[status(thm)],[f9574]) ).
fof(f9576,plain,
( ~ spl0_14
| spl0_11 ),
inference(split_clause,[status(thm)],[f689,f629,f485]) ).
fof(f9578,plain,
$false,
inference(sat_refutation,[status(thm)],[f489,f540,f636,f1279,f1525,f3626,f5965,f6024,f9523,f9567,f9569,f9571,f9573,f9575,f9576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET159+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.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 10:18:06 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 23.62/3.42 % Refutation found
% 23.62/3.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 23.62/3.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.62/3.47 % Elapsed time: 3.142854 seconds
% 23.62/3.47 % CPU time: 24.013648 seconds
% 23.62/3.47 % Memory used: 177.266 MB
%------------------------------------------------------------------------------