TSTP Solution File: NUN057+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN057+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 : 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 Aug 31 18:08:01 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 101 ( 26 unt; 0 def)
% Number of atoms : 327 ( 59 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 375 ( 149 ~; 110 |; 99 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 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 : 243 ( 176 !; 67 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f404,plain,
$false,
inference(avatar_sat_refutation,[],[f394,f399,f403]) ).
fof(f403,plain,
spl26_7,
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f402,plain,
( $false
| spl26_7 ),
inference(subsumption_resolution,[],[f401,f111]) ).
fof(f111,plain,
r1(sK17),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X1] :
( sK17 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1] :
( ( sK17 != X1
& ~ r1(X1) )
| ( sK17 = X1
& r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f1,f54]) ).
fof(f54,plain,
( ? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( X0 = X1
& r1(X1) ) )
=> ! [X1] :
( ( sK17 != X1
& ~ r1(X1) )
| ( sK17 = X1
& r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( X0 = X1
& r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f401,plain,
( ~ r1(sK17)
| spl26_7 ),
inference(resolution,[],[f400,f140]) ).
fof(f140,plain,
! [X0] :
( sP20(sK8(X0))
| ~ r1(X0) ),
inference(resolution,[],[f114,f108]) ).
fof(f108,plain,
! [X0] : r2(X0,sK8(X0)),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X2,X0] :
( r2(X0,X2)
| sK8(X0) != X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f20,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,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 )
| ( ~ r2(X2,X4)
& X3 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f114,plain,
! [X8,X7] :
( ~ r2(X8,X7)
| sP20(X7)
| ~ r1(X8) ),
inference(cnf_transformation,[],[f114_D]) ).
fof(f114_D,plain,
! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) )
<=> ~ sP20(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f400,plain,
( ~ sP20(sK8(sK17))
| spl26_7 ),
inference(resolution,[],[f393,f143]) ).
fof(f143,plain,
! [X0] :
( sP21(sK8(X0))
| ~ sP20(X0) ),
inference(resolution,[],[f116,f108]) ).
fof(f116,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| sP21(X6)
| ~ sP20(X7) ),
inference(cnf_transformation,[],[f116_D]) ).
fof(f116_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ sP20(X7) )
<=> ~ sP21(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f393,plain,
( ~ sP21(sK8(sK8(sK17)))
| spl26_7 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl26_7
<=> sP21(sK8(sK8(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f399,plain,
~ spl26_6,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f397,f111]) ).
fof(f397,plain,
( ~ r1(sK17)
| ~ spl26_6 ),
inference(resolution,[],[f396,f155]) ).
fof(f155,plain,
! [X0] :
( ~ sP25(sK8(X0))
| ~ r1(X0) ),
inference(resolution,[],[f125,f108]) ).
fof(f125,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ sP25(X4) ),
inference(general_splitting,[],[f123,f124_D]) ).
fof(f124,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP24(X3)
| sP25(X4) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X4] :
( ! [X3] :
( ~ r2(X4,X3)
| ~ sP24(X3) )
<=> ~ sP25(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f123,plain,
! [X3,X4,X5] :
( ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP24(X3) ),
inference(general_splitting,[],[f121,f122_D]) ).
fof(f122,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| sP24(X3)
| ~ sP23(X2) ),
inference(cnf_transformation,[],[f122_D]) ).
fof(f122_D,plain,
! [X3] :
( ! [X2] :
( ~ r2(X3,X2)
| ~ sP23(X2) )
<=> ~ sP24(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f121,plain,
! [X2,X3,X4,X5] :
( ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP23(X2) ),
inference(general_splitting,[],[f119,f120_D]) ).
fof(f120,plain,
! [X2,X1] :
( ~ r2(X2,X1)
| sP23(X2)
| ~ sP22(X1) ),
inference(cnf_transformation,[],[f120_D]) ).
fof(f120_D,plain,
! [X2] :
( ! [X1] :
( ~ r2(X2,X1)
| ~ sP22(X1) )
<=> ~ sP23(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f119,plain,
! [X2,X3,X1,X4,X5] :
( ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X2,X1)
| ~ sP22(X1) ),
inference(general_splitting,[],[f117,f118_D]) ).
fof(f118,plain,
! [X1,X6] :
( ~ r3(X6,X6,X1)
| ~ sP21(X6)
| sP22(X1) ),
inference(cnf_transformation,[],[f118_D]) ).
fof(f118_D,plain,
! [X1] :
( ! [X6] :
( ~ r3(X6,X6,X1)
| ~ sP21(X6) )
<=> ~ sP22(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f117,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X2,X1)
| ~ r3(X6,X6,X1)
| ~ sP21(X6) ),
inference(general_splitting,[],[f115,f116_D]) ).
fof(f115,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X2,X1)
| ~ r2(X7,X6)
| ~ r3(X6,X6,X1)
| ~ sP20(X7) ),
inference(general_splitting,[],[f113,f114_D]) ).
fof(f113,plain,
! [X2,X3,X1,X8,X6,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X2,X1)
| ~ r2(X8,X7)
| ~ r1(X8)
| ~ r2(X7,X6)
| ~ r3(X6,X6,X1) ),
inference(equality_resolution,[],[f99]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( X0 != X1
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X2,X1)
| ~ r2(X8,X7)
| ~ r1(X8)
| ~ r2(X7,X6)
| ~ r3(X6,X6,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( X0 != X1
| ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) ) ) )
| ~ r2(X2,X1) ) )
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) )
| ~ r2(X7,X6) )
| ~ r3(X6,X6,X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( r1(X5)
& r2(X5,X4) )
& r2(X4,X3) )
& r2(X3,X2) )
& r2(X2,X1) )
& X0 = X1 )
& ? [X6] :
( ? [X7] :
( r2(X7,X6)
& ? [X8] :
( r1(X8)
& r2(X8,X7) ) )
& r3(X6,X6,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( ? [X22] :
( ? [X15] :
( ? [X24] :
( r2(X24,X15)
& ? [X33] :
( r1(X33)
& r2(X33,X24) ) )
& r2(X15,X22) )
& r2(X22,X21) )
& X21 = X38 )
& ? [X16] :
( ? [X18] :
( ? [X30] :
( r1(X30)
& r2(X30,X18) )
& r2(X18,X16) )
& r3(X16,X16,X38) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( ? [X22] :
( ? [X15] :
( ? [X24] :
( r2(X24,X15)
& ? [X33] :
( r1(X33)
& r2(X33,X24) ) )
& r2(X15,X22) )
& r2(X22,X21) )
& X21 = X38 )
& ? [X16] :
( ? [X18] :
( ? [X30] :
( r1(X30)
& r2(X30,X18) )
& r2(X18,X16) )
& r3(X16,X16,X38) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',twoplustwoeqfour) ).
fof(f396,plain,
( sP25(sK8(sK17))
| ~ spl26_6 ),
inference(resolution,[],[f395,f152]) ).
fof(f152,plain,
! [X0] :
( ~ sP24(sK8(X0))
| sP25(X0) ),
inference(resolution,[],[f124,f108]) ).
fof(f395,plain,
( sP24(sK8(sK8(sK17)))
| ~ spl26_6 ),
inference(resolution,[],[f389,f149]) ).
fof(f149,plain,
! [X0] :
( ~ sP23(sK8(X0))
| sP24(X0) ),
inference(resolution,[],[f122,f108]) ).
fof(f389,plain,
( sP23(sK8(sK8(sK8(sK17))))
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl26_6
<=> sP23(sK8(sK8(sK8(sK17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f394,plain,
( spl26_6
| ~ spl26_7 ),
inference(avatar_split_clause,[],[f385,f391,f387]) ).
fof(f385,plain,
( ~ sP21(sK8(sK8(sK17)))
| sP23(sK8(sK8(sK8(sK17)))) ),
inference(resolution,[],[f339,f220]) ).
fof(f220,plain,
! [X0] :
( sP22(sK14(sK8(X0),X0))
| ~ sP21(sK8(X0)) ),
inference(resolution,[],[f219,f118]) ).
fof(f219,plain,
! [X0,X1] : r3(X0,sK8(X1),sK14(X0,X1)),
inference(forward_demodulation,[],[f90,f161]) ).
fof(f161,plain,
! [X3,X4] : sK8(X3) = sK15(X4,X3),
inference(resolution,[],[f78,f89]) ).
fof(f89,plain,
! [X0,X1] : r2(X1,sK15(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( r3(X0,sK15(X0,X1),sK14(X0,X1))
& r2(X1,sK15(X0,X1))
& sK13(X0,X1) = sK14(X0,X1)
& r2(sK16(X0,X1),sK13(X0,X1))
& r3(X0,X1,sK16(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f48,f52,f51,f50,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& X2 = X3 )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) )
=> ( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& sK13(X0,X1) = X3 )
& ? [X5] :
( r2(X5,sK13(X0,X1))
& r3(X0,X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& sK13(X0,X1) = X3 )
=> ( ? [X4] :
( r3(X0,X4,sK14(X0,X1))
& r2(X1,X4) )
& sK13(X0,X1) = sK14(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X4] :
( r3(X0,X4,sK14(X0,X1))
& r2(X1,X4) )
=> ( r3(X0,sK15(X0,X1),sK14(X0,X1))
& r2(X1,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X5] :
( r2(X5,sK13(X0,X1))
& r3(X0,X1,X5) )
=> ( r2(sK16(X0,X1),sK13(X0,X1))
& r3(X0,X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& X2 = X3 )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& X2 = X4 )
& ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f78,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK8(X0) = X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f90,plain,
! [X0,X1] : r3(X0,sK15(X0,X1),sK14(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f339,plain,
! [X1] :
( ~ sP22(sK14(X1,sK8(sK17)))
| sP23(sK8(X1)) ),
inference(superposition,[],[f269,f322]) ).
fof(f322,plain,
! [X0] : sK3(X0,sK8(sK17)) = sK8(X0),
inference(resolution,[],[f311,f64]) ).
fof(f64,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK3(X0,X1) = X3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X3] :
( ( sK3(X0,X1) != X3
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& sK3(X0,X1) = X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 != X3
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& X2 = X3 ) )
=> ! [X3] :
( ( sK3(X0,X1) != X3
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& sK3(X0,X1) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& X2 = X3 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( ~ r3(X5,X6,X8)
& X7 != X8 )
| ( X7 = X8
& r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f311,plain,
! [X2] : r3(X2,sK8(sK17),sK8(X2)),
inference(superposition,[],[f219,f283]) ).
fof(f283,plain,
! [X0] : sK14(X0,sK17) = sK8(X0),
inference(resolution,[],[f282,f78]) ).
fof(f282,plain,
! [X0] : r2(X0,sK14(X0,sK17)),
inference(superposition,[],[f265,f259]) ).
fof(f259,plain,
! [X4] : sK3(X4,sK17) = X4,
inference(resolution,[],[f64,f139]) ).
fof(f139,plain,
! [X0] : r3(X0,sK17,X0),
inference(forward_demodulation,[],[f138,f129]) ).
fof(f129,plain,
! [X2] : sK19(X2) = sK17,
inference(resolution,[],[f92,f96]) ).
fof(f96,plain,
! [X0] : r1(sK19(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sK18(X0) = X0
& r3(X0,sK19(X0),sK18(X0))
& r1(sK19(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f24,f58,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK18(X0) = X0
& ? [X2] :
( r3(X0,X2,sK18(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK18(X0))
& r1(X2) )
=> ( r3(X0,sK19(X0),sK18(X0))
& r1(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r1(X31)
& r3(X29,X31,X30) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f92,plain,
! [X1] :
( ~ r1(X1)
| sK17 = X1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f138,plain,
! [X0] : r3(X0,sK19(X0),X0),
inference(forward_demodulation,[],[f97,f98]) ).
fof(f98,plain,
! [X0] : sK18(X0) = X0,
inference(cnf_transformation,[],[f59]) ).
fof(f97,plain,
! [X0] : r3(X0,sK19(X0),sK18(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f265,plain,
! [X0,X1] : r2(sK3(X0,X1),sK14(X0,X1)),
inference(backward_demodulation,[],[f102,f257]) ).
fof(f257,plain,
! [X0,X1] : sK16(X0,X1) = sK3(X0,X1),
inference(resolution,[],[f64,f86]) ).
fof(f86,plain,
! [X0,X1] : r3(X0,X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f102,plain,
! [X0,X1] : r2(sK16(X0,X1),sK14(X0,X1)),
inference(definition_unfolding,[],[f87,f88]) ).
fof(f88,plain,
! [X0,X1] : sK13(X0,X1) = sK14(X0,X1),
inference(cnf_transformation,[],[f53]) ).
fof(f87,plain,
! [X0,X1] : r2(sK16(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
fof(f269,plain,
! [X8,X9] :
( sP23(sK3(X8,X9))
| ~ sP22(sK14(X8,X9)) ),
inference(backward_demodulation,[],[f182,f257]) ).
fof(f182,plain,
! [X8,X9] :
( sP23(sK16(X8,X9))
| ~ sP22(sK14(X8,X9)) ),
inference(resolution,[],[f102,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN057+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:38:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (8021)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (8009)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (8015)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (8030)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (8009)Refutation not found, incomplete strategy% (8009)------------------------------
% 0.19/0.51 % (8009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8016)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (8009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8009)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8009)Memory used [KB]: 5500
% 0.19/0.52 % (8009)Time elapsed: 0.110 s
% 0.19/0.52 % (8009)Instructions burned: 4 (million)
% 0.19/0.52 % (8009)------------------------------
% 0.19/0.52 % (8009)------------------------------
% 0.19/0.52 % (8016)Instruction limit reached!
% 0.19/0.52 % (8016)------------------------------
% 0.19/0.52 % (8016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8016)Termination reason: Unknown
% 0.19/0.52 % (8016)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (8016)Memory used [KB]: 895
% 0.19/0.52 % (8016)Time elapsed: 0.003 s
% 0.19/0.52 % (8016)Instructions burned: 2 (million)
% 0.19/0.52 % (8016)------------------------------
% 0.19/0.52 % (8016)------------------------------
% 0.19/0.52 % (8015)Instruction limit reached!
% 0.19/0.52 % (8015)------------------------------
% 0.19/0.52 % (8015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8015)Termination reason: Unknown
% 0.19/0.52 % (8015)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8015)Memory used [KB]: 5500
% 0.19/0.52 % (8015)Time elapsed: 0.118 s
% 0.19/0.52 % (8015)Instructions burned: 7 (million)
% 0.19/0.52 % (8015)------------------------------
% 0.19/0.52 % (8015)------------------------------
% 0.19/0.52 % (8032)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (8022)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (8013)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (8033)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (8012)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (8010)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)
% 0.19/0.53 % (8011)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)
% 0.19/0.53 % (8025)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (8019)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (8020)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (8014)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (8017)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (8037)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (8035)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (8036)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (8031)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (8008)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)
% 0.19/0.55 % (8029)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (8028)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55 % (8027)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (8013)First to succeed.
% 0.19/0.55 % (8034)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (8023)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56 % (8010)Also succeeded, but the first one will report.
% 0.19/0.56 % (8026)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (8013)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (8013)------------------------------
% 0.19/0.56 % (8013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8013)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (8013)Memory used [KB]: 5628
% 0.19/0.56 % (8013)Time elapsed: 0.152 s
% 0.19/0.56 % (8013)Instructions burned: 13 (million)
% 0.19/0.56 % (8013)------------------------------
% 0.19/0.56 % (8013)------------------------------
% 0.19/0.56 % (8007)Success in time 0.207 s
%------------------------------------------------------------------------------