TSTP Solution File: NUN056+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN056+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.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 Aug 31 18:08:00 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 104 ( 30 unt; 0 def)
% Number of atoms : 356 ( 63 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 430 ( 178 ~; 133 |; 102 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 273 ( 203 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f502,plain,
$false,
inference(avatar_sat_refutation,[],[f481,f496,f501]) ).
fof(f501,plain,
spl26_6,
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| spl26_6 ),
inference(subsumption_resolution,[],[f499,f112]) ).
fof(f112,plain,
r1(sK19),
inference(equality_resolution,[],[f99]) ).
fof(f99,plain,
! [X1] :
( sK19 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1] :
( ( sK19 != X1
& ~ r1(X1) )
| ( r1(X1)
& sK19 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f58]) ).
fof(f58,plain,
( ? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( sK19 != X1
& ~ r1(X1) )
| ( r1(X1)
& sK19 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f499,plain,
( ~ r1(sK19)
| spl26_6 ),
inference(resolution,[],[f498,f152]) ).
fof(f152,plain,
! [X0] :
( sP24(sK1(X0))
| ~ r1(X0) ),
inference(resolution,[],[f122,f107]) ).
fof(f107,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X0] :
( r2(X0,X2)
| sK1(X0) != X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f28]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( r2(X2,X4)
& X3 = X4 )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f122,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| sP24(X4)
| ~ r1(X5) ),
inference(cnf_transformation,[],[f122_D]) ).
fof(f122_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
<=> ~ sP24(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f498,plain,
( ~ sP24(sK1(sK19))
| spl26_6 ),
inference(resolution,[],[f480,f155]) ).
fof(f155,plain,
! [X0] :
( sP25(sK1(X0))
| ~ sP24(X0) ),
inference(resolution,[],[f124,f107]) ).
fof(f124,plain,
! [X1,X4] :
( ~ r2(X4,X1)
| sP25(X1)
| ~ sP24(X4) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X1] :
( ! [X4] :
( ~ r2(X4,X1)
| ~ sP24(X4) )
<=> ~ sP25(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f480,plain,
( ~ sP25(sK1(sK1(sK19)))
| spl26_6 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl26_6
<=> sP25(sK1(sK1(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f496,plain,
~ spl26_5,
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f112,f488]) ).
fof(f488,plain,
( ! [X0] : ~ r1(X0)
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f486,f140]) ).
fof(f140,plain,
! [X0] :
( sP20(sK1(X0))
| ~ r1(X0) ),
inference(resolution,[],[f114,f107]) ).
fof(f114,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| ~ r1(X3)
| sP20(X2) ),
inference(cnf_transformation,[],[f114_D]) ).
fof(f114_D,plain,
! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
<=> ~ sP20(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f486,plain,
( ! [X0] :
( ~ sP20(sK1(X0))
| ~ r1(X0) )
| ~ spl26_5 ),
inference(resolution,[],[f484,f143]) ).
fof(f143,plain,
! [X0] :
( sP21(sK1(X0))
| ~ r1(X0) ),
inference(resolution,[],[f116,f107]) ).
fof(f116,plain,
! [X8,X9] :
( ~ r2(X9,X8)
| ~ r1(X9)
| sP21(X8) ),
inference(cnf_transformation,[],[f116_D]) ).
fof(f116_D,plain,
! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ~ r1(X9) )
<=> ~ sP21(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f484,plain,
( ! [X0] :
( ~ sP21(X0)
| ~ sP20(X0) )
| ~ spl26_5 ),
inference(resolution,[],[f482,f146]) ).
fof(f146,plain,
! [X0] :
( sP22(sK1(X0))
| ~ sP21(X0) ),
inference(resolution,[],[f118,f107]) ).
fof(f118,plain,
! [X8,X7] :
( ~ r2(X8,X7)
| ~ sP21(X8)
| sP22(X7) ),
inference(cnf_transformation,[],[f118_D]) ).
fof(f118_D,plain,
! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ sP21(X8) )
<=> ~ sP22(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f482,plain,
( ! [X0] :
( ~ sP22(sK1(X0))
| ~ sP20(X0) )
| ~ spl26_5 ),
inference(resolution,[],[f476,f149]) ).
fof(f149,plain,
! [X0] :
( sP23(sK1(X0))
| ~ sP22(X0) ),
inference(resolution,[],[f120,f107]) ).
fof(f120,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| sP23(X6)
| ~ sP22(X7) ),
inference(cnf_transformation,[],[f120_D]) ).
fof(f120_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ sP22(X7) )
<=> ~ sP23(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f476,plain,
( ! [X0] :
( ~ sP23(sK1(sK1(X0)))
| ~ sP20(X0) )
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl26_5
<=> ! [X0] :
( ~ sP20(X0)
| ~ sP23(sK1(sK1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f481,plain,
( spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f471,f478,f475]) ).
fof(f471,plain,
! [X0] :
( ~ sP25(sK1(sK1(sK19)))
| ~ sP20(X0)
| ~ sP23(sK1(sK1(X0))) ),
inference(resolution,[],[f411,f125]) ).
fof(f125,plain,
! [X2,X1,X6] :
( ~ r3(X2,X1,X6)
| ~ sP23(X6)
| ~ sP25(X1)
| ~ sP20(X2) ),
inference(general_splitting,[],[f123,f124_D]) ).
fof(f123,plain,
! [X2,X1,X6,X4] :
( ~ r3(X2,X1,X6)
| ~ r2(X4,X1)
| ~ sP20(X2)
| ~ sP23(X6)
| ~ sP24(X4) ),
inference(general_splitting,[],[f121,f122_D]) ).
fof(f121,plain,
! [X2,X1,X6,X4,X5] :
( ~ r3(X2,X1,X6)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X1)
| ~ sP20(X2)
| ~ sP23(X6) ),
inference(general_splitting,[],[f119,f120_D]) ).
fof(f119,plain,
! [X2,X1,X6,X7,X4,X5] :
( ~ r3(X2,X1,X6)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X1)
| ~ r2(X7,X6)
| ~ sP20(X2)
| ~ sP22(X7) ),
inference(general_splitting,[],[f117,f118_D]) ).
fof(f117,plain,
! [X2,X1,X8,X6,X7,X4,X5] :
( ~ r3(X2,X1,X6)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X1)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ sP20(X2)
| ~ sP21(X8) ),
inference(general_splitting,[],[f115,f116_D]) ).
fof(f115,plain,
! [X2,X1,X8,X6,X9,X7,X4,X5] :
( ~ r3(X2,X1,X6)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X1)
| ~ r2(X7,X6)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7)
| ~ sP20(X2) ),
inference(general_splitting,[],[f108,f114_D]) ).
fof(f108,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r3(X2,X1,X6)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X1)
| ~ r2(X7,X6)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r3(X2,X1,X0)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X1)
| ~ r2(X7,X6)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7)
| X0 != X6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
| ~ r3(X2,X1,X0) )
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X1) ) )
| ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ~ r1(X9) )
| ~ r2(X8,X7) ) )
| X0 != X6 ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X5] :
( ! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ~ r1(X9) )
| ~ r3(X8,X5,X0) )
| ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) ) )
| ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ~ r2(X3,X2) ) )
| X0 != X1 ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ? [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
& r2(X2,X1) ) )
& ? [X5] :
( ? [X8] :
( r3(X8,X5,X0)
& ? [X9] :
( r2(X9,X8)
& r1(X9) ) )
& ? [X6] :
( ? [X7] :
( r1(X7)
& r2(X7,X6) )
& r2(X6,X5) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( X21 = X38
& ? [X22] :
( r2(X22,X21)
& ? [X16] :
( ? [X33] :
( r2(X33,X16)
& r1(X33) )
& r2(X16,X22) ) ) )
& ? [X15] :
( ? [X18] :
( ? [X41] :
( r1(X41)
& r2(X41,X18) )
& r2(X18,X15) )
& ? [X24] :
( r3(X24,X15,X38)
& ? [X30] :
( r1(X30)
& r2(X30,X24) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( X21 = X38
& ? [X22] :
( r2(X22,X21)
& ? [X16] :
( ? [X33] :
( r2(X33,X16)
& r1(X33) )
& r2(X16,X22) ) ) )
& ? [X15] :
( ? [X18] :
( ? [X41] :
( r1(X41)
& r2(X41,X18) )
& r2(X18,X15) )
& ? [X24] :
( r3(X24,X15,X38)
& ? [X30] :
( r1(X30)
& r2(X30,X24) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneplustwoeqthree) ).
fof(f411,plain,
! [X3] : r3(X3,sK1(sK1(sK19)),sK1(sK1(X3))),
inference(superposition,[],[f207,f315]) ).
fof(f315,plain,
! [X1] : sK2(sK1(sK19),X1) = sK1(sK1(X1)),
inference(superposition,[],[f236,f283]) ).
fof(f283,plain,
! [X0] : sK1(X0) = sK0(X0,sK1(sK19)),
inference(resolution,[],[f280,f61]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK0(X0,X1) = X3 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X3] :
( ( r3(X0,X1,X3)
& sK0(X0,X1) = X3 )
| ( ~ r3(X0,X1,X3)
& sK0(X0,X1) != X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( r3(X0,X1,X3)
& X2 = X3 )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) )
=> ! [X3] :
( ( r3(X0,X1,X3)
& sK0(X0,X1) = X3 )
| ( ~ r3(X0,X1,X3)
& sK0(X0,X1) != X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( r3(X0,X1,X3)
& X2 = X3 )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 != X8
& ~ r3(X5,X6,X8) )
| ( r3(X5,X6,X8)
& X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f280,plain,
! [X2] : r3(X2,sK1(sK19),sK1(X2)),
inference(superposition,[],[f207,f252]) ).
fof(f252,plain,
! [X0] : sK1(X0) = sK2(sK19,X0),
inference(resolution,[],[f251,f67]) ).
fof(f67,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK1(X0) = X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f251,plain,
! [X0] : r2(X0,sK2(sK19,X0)),
inference(superposition,[],[f234,f230]) ).
fof(f230,plain,
! [X4] : sK0(X4,sK19) = X4,
inference(resolution,[],[f61,f139]) ).
fof(f139,plain,
! [X0] : r3(X0,sK19,X0),
inference(forward_demodulation,[],[f138,f128]) ).
fof(f128,plain,
! [X2] : sK10(X2) = sK19,
inference(resolution,[],[f96,f78]) ).
fof(f78,plain,
! [X0] : r1(sK10(X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( sK9(X0) = X0
& r3(X0,sK10(X0),sK9(X0))
& r1(sK10(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f22,f42,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK9(X0) = X0
& ? [X2] :
( r3(X0,X2,sK9(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK9(X0))
& r1(X2) )
=> ( r3(X0,sK10(X0),sK9(X0))
& r1(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f96,plain,
! [X1] :
( ~ r1(X1)
| sK19 = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f138,plain,
! [X0] : r3(X0,sK10(X0),X0),
inference(forward_demodulation,[],[f79,f80]) ).
fof(f80,plain,
! [X0] : sK9(X0) = X0,
inference(cnf_transformation,[],[f43]) ).
fof(f79,plain,
! [X0] : r3(X0,sK10(X0),sK9(X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f234,plain,
! [X0,X1] : r2(sK0(X1,X0),sK2(X0,X1)),
inference(backward_demodulation,[],[f72,f228]) ).
fof(f228,plain,
! [X0,X1] : sK0(X0,X1) = sK3(X1,X0),
inference(resolution,[],[f61,f73]) ).
fof(f73,plain,
! [X0,X1] : r3(X1,X0,sK3(X0,X1)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( r3(X1,X0,sK3(X0,X1))
& r2(sK3(X0,X1),sK2(X0,X1))
& r2(X0,sK5(X0,X1))
& r3(X1,sK5(X0,X1),sK4(X0,X1))
& sK4(X0,X1) = sK2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f30,f34,f33,f32,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) )
& X2 = X4 ) )
=> ( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,sK2(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) )
& sK2(X0,X1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,sK2(X0,X1)) )
=> ( r3(X1,X0,sK3(X0,X1))
& r2(sK3(X0,X1),sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) )
& sK2(X0,X1) = X4 )
=> ( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,sK4(X0,X1)) )
& sK4(X0,X1) = sK2(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,sK4(X0,X1)) )
=> ( r2(X0,sK5(X0,X1))
& r3(X1,sK5(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) )
& X2 = X4 ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) )
& ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& X2 = X3 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) )
& X15 = X16 )
& ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f72,plain,
! [X0,X1] : r2(sK3(X0,X1),sK2(X0,X1)),
inference(cnf_transformation,[],[f35]) ).
fof(f236,plain,
! [X0,X1] : sK1(sK0(X1,X0)) = sK2(X0,X1),
inference(backward_demodulation,[],[f177,f228]) ).
fof(f177,plain,
! [X0,X1] : sK1(sK3(X0,X1)) = sK2(X0,X1),
inference(resolution,[],[f72,f67]) ).
fof(f207,plain,
! [X0,X1] : r3(X1,sK1(X0),sK2(X0,X1)),
inference(forward_demodulation,[],[f100,f159]) ).
fof(f159,plain,
! [X2,X1] : sK5(X1,X2) = sK1(X1),
inference(resolution,[],[f67,f71]) ).
fof(f71,plain,
! [X0,X1] : r2(X0,sK5(X0,X1)),
inference(cnf_transformation,[],[f35]) ).
fof(f100,plain,
! [X0,X1] : r3(X1,sK5(X0,X1),sK2(X0,X1)),
inference(definition_unfolding,[],[f70,f69]) ).
fof(f69,plain,
! [X0,X1] : sK4(X0,X1) = sK2(X0,X1),
inference(cnf_transformation,[],[f35]) ).
fof(f70,plain,
! [X0,X1] : r3(X1,sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN056+2 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n006.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 : Tue Aug 30 09:40:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (13842)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (13834)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (13826)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50 % (13842)First to succeed.
% 0.20/0.50 % (13834)Instruction limit reached!
% 0.20/0.50 % (13834)------------------------------
% 0.20/0.50 % (13834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (13834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (13834)Termination reason: Unknown
% 0.20/0.50 % (13834)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (13834)Memory used [KB]: 895
% 0.20/0.50 % (13834)Time elapsed: 0.003 s
% 0.20/0.50 % (13834)Instructions burned: 2 (million)
% 0.20/0.50 % (13834)------------------------------
% 0.20/0.50 % (13834)------------------------------
% 0.20/0.50 % (13829)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (13830)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (13828)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (13842)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (13842)------------------------------
% 0.20/0.51 % (13842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13842)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (13842)Memory used [KB]: 5628
% 0.20/0.51 % (13842)Time elapsed: 0.120 s
% 0.20/0.51 % (13842)Instructions burned: 16 (million)
% 0.20/0.51 % (13842)------------------------------
% 0.20/0.51 % (13842)------------------------------
% 0.20/0.51 % (13825)Success in time 0.169 s
%------------------------------------------------------------------------------