TSTP Solution File: NUN059+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %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 14:40:17 EDT 2024
% Result : Theorem 3.94s 0.92s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 117 ( 29 unt; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 366 ( 156 ~; 119 |; 79 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 264 ( 214 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28712,plain,
$false,
inference(avatar_sat_refutation,[],[f14661,f19364,f28567,f28576,f28711]) ).
fof(f28711,plain,
~ spl20_294,
inference(avatar_contradiction_clause,[],[f28710]) ).
fof(f28710,plain,
( $false
| ~ spl20_294 ),
inference(subsumption_resolution,[],[f28683,f77]) ).
fof(f77,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( r1(sK6(X0))
& id(sK5(X0),sK6(X0))
& r4(X0,sK7(X0),sK5(X0))
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f48,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( r1(X2)
& id(sK5(X0),X2) )
& ? [X3] :
( r4(X0,X3,sK5(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& id(sK5(X0),X2) )
=> ( r1(sK6(X0))
& id(sK5(X0),sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK5(X0))
& r1(X3) )
=> ( r4(X0,sK7(X0),sK5(X0))
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( r1(X59)
& id(X57,X59) )
& ? [X58] :
( r4(X56,X58,X57)
& r1(X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
fof(f28683,plain,
( ~ r1(sK7(sK19))
| ~ spl20_294 ),
inference(resolution,[],[f28590,f133]) ).
fof(f133,plain,
! [X0] :
( id(sK19,X0)
| ~ r1(X0) ),
inference(resolution,[],[f85,f123]) ).
fof(f123,plain,
! [X1] :
( id(X1,sK19)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f66]) ).
fof(f66,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f85,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f28590,plain,
( ! [X0] : ~ id(X0,sK7(X0))
| ~ spl20_294 ),
inference(subsumption_resolution,[],[f28585,f1145]) ).
fof(f1145,plain,
! [X0,X1] : id(sK5(X0),sK4(X1)),
inference(resolution,[],[f1124,f85]) ).
fof(f1124,plain,
! [X0,X1] : id(sK4(X0),sK5(X1)),
inference(resolution,[],[f505,f75]) ).
fof(f75,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0))
& id(sK3(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
& id(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
=> ( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f505,plain,
! [X0,X1] :
( ~ r1(X0)
| id(X0,sK5(X1)) ),
inference(resolution,[],[f485,f268]) ).
fof(f268,plain,
! [X0,X1] :
( ~ id(sK19,X1)
| id(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f110,f123]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X16,X17,X18] :
( ~ id(X17,X18)
| id(X16,X18)
| ~ id(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f485,plain,
! [X0] : id(sK19,sK5(X0)),
inference(resolution,[],[f481,f85]) ).
fof(f481,plain,
! [X0] : id(sK5(X0),sK19),
inference(subsumption_resolution,[],[f480,f80]) ).
fof(f80,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f480,plain,
! [X0] :
( id(sK5(X0),sK19)
| ~ r1(sK6(X0)) ),
inference(resolution,[],[f264,f123]) ).
fof(f264,plain,
! [X0,X1] :
( ~ id(sK6(X0),X1)
| id(sK5(X0),X1) ),
inference(resolution,[],[f110,f79]) ).
fof(f79,plain,
! [X0] : id(sK5(X0),sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f28585,plain,
( ! [X0] :
( ~ id(sK5(X0),sK4(sK19))
| ~ id(X0,sK7(X0)) )
| ~ spl20_294 ),
inference(resolution,[],[f28555,f918]) ).
fof(f918,plain,
! [X2,X0,X1] :
( r4(X2,sK7(X0),X1)
| ~ id(sK5(X0),X1)
| ~ id(X0,X2) ),
inference(resolution,[],[f307,f69]) ).
fof(f69,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ id(sK7(X3),X1)
| ~ id(sK5(X3),X2)
| r4(X0,X1,X2)
| ~ id(X3,X0) ),
inference(resolution,[],[f117,f78]) ).
fof(f78,plain,
! [X0] : r4(X0,sK7(X0),sK5(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r4(X0,X1,X2)
| r4(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r4(X3,X4,X5)
& r4(X0,X1,X2) )
| ( ~ r4(X3,X4,X5)
& ~ r4(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X31,X32,X33,X34,X35,X36] :
( ( r4(X34,X35,X36)
& r4(X31,X32,X33) )
| ( ~ r4(X34,X35,X36)
& ~ r4(X31,X32,X33) )
| ~ id(X33,X36)
| ~ id(X32,X35)
| ~ id(X31,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f28555,plain,
( ! [X1] : ~ r4(X1,X1,sK4(sK19))
| ~ spl20_294 ),
inference(avatar_component_clause,[],[f28554]) ).
fof(f28554,plain,
( spl20_294
<=> ! [X1] : ~ r4(X1,X1,sK4(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_294])]) ).
fof(f28576,plain,
~ spl20_295,
inference(avatar_contradiction_clause,[],[f28575]) ).
fof(f28575,plain,
( $false
| ~ spl20_295 ),
inference(resolution,[],[f28558,f12418]) ).
fof(f12418,plain,
! [X0] : r4(X0,sK19,sK19),
inference(resolution,[],[f3732,f69]) ).
fof(f3732,plain,
! [X0,X1] :
( ~ id(X0,X1)
| r4(X0,sK19,sK19) ),
inference(subsumption_resolution,[],[f3728,f180]) ).
fof(f180,plain,
! [X0] : r1(sK5(X0)),
inference(resolution,[],[f146,f79]) ).
fof(f146,plain,
! [X0,X1] :
( ~ id(X0,sK6(X1))
| r1(X0) ),
inference(resolution,[],[f87,f80]) ).
fof(f87,plain,
! [X0,X1] :
( ~ r1(X1)
| r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f3728,plain,
! [X0,X1] :
( r4(X0,sK19,sK19)
| ~ id(X0,X1)
| ~ r1(sK5(X1)) ),
inference(resolution,[],[f886,f133]) ).
fof(f886,plain,
! [X2,X0,X1] :
( ~ id(X0,sK5(X1))
| r4(X2,sK19,X0)
| ~ id(X2,X1) ),
inference(subsumption_resolution,[],[f884,f77]) ).
fof(f884,plain,
! [X2,X0,X1] :
( ~ id(X0,sK5(X1))
| r4(X2,sK19,X0)
| ~ id(X2,X1)
| ~ r1(sK7(X1)) ),
inference(resolution,[],[f296,f133]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ id(X1,sK7(X3))
| ~ id(X2,sK5(X3))
| r4(X0,X1,X2)
| ~ id(X0,X3) ),
inference(resolution,[],[f116,f78]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r4(X3,X4,X5)
| r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f28558,plain,
( ! [X0] : ~ r4(X0,X0,sK19)
| ~ spl20_295 ),
inference(avatar_component_clause,[],[f28557]) ).
fof(f28557,plain,
( spl20_295
<=> ! [X0] : ~ r4(X0,X0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_295])]) ).
fof(f28567,plain,
( spl20_294
| spl20_295
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f28544,f6747,f28557,f28554]) ).
fof(f6747,plain,
( spl20_97
<=> ! [X0,X3,X2,X1] :
( ~ r4(X0,X0,X1)
| ~ r4(X3,X3,X2)
| ~ r3(X2,X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f28544,plain,
( ! [X0,X1] :
( ~ r4(X0,X0,sK19)
| ~ r4(X1,X1,sK4(sK19)) )
| ~ spl20_97 ),
inference(resolution,[],[f6748,f1487]) ).
fof(f1487,plain,
r3(sK19,sK4(sK19),sK19),
inference(resolution,[],[f254,f401]) ).
fof(f401,plain,
r1(sK18(sK19,sK4(sK19))),
inference(resolution,[],[f232,f149]) ).
fof(f149,plain,
! [X0] :
( ~ id(sK3(sK19),X0)
| r1(X0) ),
inference(resolution,[],[f88,f129]) ).
fof(f129,plain,
r1(sK3(sK19)),
inference(resolution,[],[f126,f74]) ).
fof(f74,plain,
! [X0] : id(sK3(X0),X0),
inference(cnf_transformation,[],[f45]) ).
fof(f126,plain,
! [X1] :
( ~ id(X1,sK19)
| r1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f88,plain,
! [X0,X1] :
( ~ r1(X0)
| r1(X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f232,plain,
! [X0] : id(sK3(X0),sK18(X0,sK4(X0))),
inference(resolution,[],[f106,f76]) ).
fof(f76,plain,
! [X0] : r3(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK18(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK18(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f34,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK18(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK18(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( ~ id(X8,X7)
& ~ r3(X5,X6,X8) )
| ( r3(X5,X6,X8)
& id(X8,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f254,plain,
! [X0,X1] :
( ~ r1(sK18(X0,X1))
| r3(X0,X1,sK19) ),
inference(resolution,[],[f109,f133]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f6748,plain,
( ! [X2,X3,X0,X1] :
( ~ r3(X2,X1,sK19)
| ~ r4(X3,X3,X2)
| ~ r4(X0,X0,X1) )
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f6747]) ).
fof(f19364,plain,
( spl20_97
| spl20_96 ),
inference(avatar_split_clause,[],[f19348,f6744,f6747]) ).
fof(f6744,plain,
( spl20_96
<=> ! [X4] : ~ r1(sK17(X4,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f19348,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK17(X0,X0))
| ~ r4(X1,X1,X2)
| ~ r3(X3,X2,sK19)
| ~ r4(X4,X4,X3) ),
inference(resolution,[],[f13501,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(X4,sK3(sK17(X5,X5)))
| ~ r4(X2,X2,X3)
| ~ r3(X1,X3,X4)
| ~ r4(X0,X0,X1) ),
inference(resolution,[],[f227,f68]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r4(X2,X2,X6)
| ~ r4(X0,X0,X5)
| ~ r4(X1,X1,X4)
| ~ r3(X5,X4,X3)
| ~ id(X3,X6) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( ~ r3(X5,X4,X3)
| ~ r4(X0,X0,X5) )
| ~ r4(X1,X1,X4) )
| ! [X6] :
( ~ r4(X2,X2,X6)
| ~ id(X3,X6) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( r3(X5,X4,X3)
& r4(X0,X0,X5) )
& r4(X1,X1,X4) )
& ? [X6] :
( r4(X2,X2,X6)
& id(X3,X6) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X46,X45,X39] :
( ? [X48] :
( ? [X42] :
( r3(X42,X48,X39)
& r4(X62,X62,X42) )
& r4(X46,X46,X48) )
& ? [X40] :
( r4(X45,X45,X40)
& id(X39,X40) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X46,X45,X39] :
( ? [X48] :
( ? [X42] :
( r3(X42,X48,X39)
& r4(X62,X62,X42) )
& r4(X46,X46,X48) )
& ? [X40] :
( r4(X45,X45,X40)
& id(X39,X40) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fermattothepoweroftwoid) ).
fof(f227,plain,
! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1))),
inference(resolution,[],[f105,f74]) ).
fof(f105,plain,
! [X3,X0,X1] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK17(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK17(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f33,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK17(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK17(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( ~ id(X12,X11)
& ~ r4(X9,X10,X12) )
| ( r4(X9,X10,X12)
& id(X12,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f13501,plain,
! [X0] :
( id(sK19,sK3(X0))
| ~ r1(X0) ),
inference(resolution,[],[f1247,f490]) ).
fof(f490,plain,
! [X0] :
( id(X0,sK3(sK19))
| ~ r1(X0) ),
inference(resolution,[],[f268,f131]) ).
fof(f131,plain,
! [X0] : id(X0,sK3(X0)),
inference(resolution,[],[f85,f74]) ).
fof(f1247,plain,
! [X0,X1] :
( ~ id(X0,sK3(X1))
| id(X1,sK3(X0)) ),
inference(resolution,[],[f436,f262]) ).
fof(f262,plain,
! [X0,X1] :
( ~ id(sK3(X0),X1)
| id(X0,X1) ),
inference(resolution,[],[f110,f131]) ).
fof(f436,plain,
! [X0,X1] :
( id(X1,sK3(X0))
| ~ id(X0,X1) ),
inference(resolution,[],[f258,f85]) ).
fof(f258,plain,
! [X0,X1] :
( id(sK3(X0),X1)
| ~ id(X0,X1) ),
inference(resolution,[],[f110,f74]) ).
fof(f14661,plain,
~ spl20_96,
inference(avatar_contradiction_clause,[],[f14639]) ).
fof(f14639,plain,
( $false
| ~ spl20_96 ),
inference(resolution,[],[f14586,f6745]) ).
fof(f6745,plain,
( ! [X4] : ~ r1(sK17(X4,X4))
| ~ spl20_96 ),
inference(avatar_component_clause,[],[f6744]) ).
fof(f14586,plain,
! [X0] : r1(sK17(X0,sK19)),
inference(resolution,[],[f12817,f153]) ).
fof(f153,plain,
! [X0] :
( ~ id(sK19,X0)
| r1(X0) ),
inference(resolution,[],[f88,f128]) ).
fof(f128,plain,
r1(sK19),
inference(resolution,[],[f126,f69]) ).
fof(f12817,plain,
! [X0] : id(sK19,sK17(X0,sK19)),
inference(resolution,[],[f12418,f102]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n031.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 : Tue Apr 30 03:02:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (6172)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6178)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (6173)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (6176)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (6174)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (6175)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (6177)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (6179)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.40 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.42 TRYING [4]
% 0.22/0.45 TRYING [6]
% 0.22/0.46 TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.49 TRYING [5]
% 0.22/0.52 TRYING [7]
% 0.22/0.55 TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.58 TRYING [5]
% 2.05/0.70 TRYING [6]
% 3.72/0.89 TRYING [8]
% 3.94/0.92 % (6178)First to succeed.
% 3.94/0.92 % (6178)Refutation found. Thanks to Tanya!
% 3.94/0.92 % SZS status Theorem for theBenchmark
% 3.94/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/0.92 % (6178)------------------------------
% 3.94/0.92 % (6178)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.94/0.92 % (6178)Termination reason: Refutation
% 3.94/0.92
% 3.94/0.92 % (6178)Memory used [KB]: 7722
% 3.94/0.92 % (6178)Time elapsed: 0.545 s
% 3.94/0.92 % (6178)Instructions burned: 1647 (million)
% 3.94/0.92 % (6178)------------------------------
% 3.94/0.92 % (6178)------------------------------
% 3.94/0.92 % (6172)Success in time 0.548 s
%------------------------------------------------------------------------------