TSTP Solution File: NUN071+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN071+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 : n026.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 18:08:05 EDT 2022
% Result : Theorem 1.35s 0.52s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 111 ( 47 unt; 0 def)
% Number of atoms : 339 ( 100 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 320 ( 92 ~; 60 |; 150 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 284 ( 188 !; 96 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f289,plain,
$false,
inference(avatar_sat_refutation,[],[f274,f279]) ).
fof(f279,plain,
~ spl20_2,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl20_2 ),
inference(subsumption_resolution,[],[f276,f108]) ).
fof(f108,plain,
r1(sK2),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X1] :
( sK2 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ( ~ r1(X1)
& sK2 != X1 )
| ( sK2 = X1
& r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f1,f32]) ).
fof(f32,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( X0 = X1
& r1(X1) ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK2 != X1 )
| ( sK2 = X1
& r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( X0 = X1
& r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f276,plain,
( ~ r1(sK2)
| ~ spl20_2 ),
inference(resolution,[],[f273,f109]) ).
fof(f109,plain,
! [X0] : r2(X0,sK12(X0)),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X2,X0] :
( r2(X0,X2)
| sK12(X0) != X2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X2] :
( ( r2(X0,X2)
& sK12(X0) = X2 )
| ( sK12(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f23,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( r2(X0,X2)
& X1 = X2 )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( r2(X0,X2)
& sK12(X0) = X2 )
| ( sK12(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
? [X1] :
! [X2] :
( ( r2(X0,X2)
& X1 = X2 )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 != X4
& ~ r2(X2,X4) )
| ( X3 = X4
& r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f273,plain,
( ! [X1] :
( ~ r2(X1,sK12(sK2))
| ~ r1(X1) )
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl20_2
<=> ! [X1] :
( ~ r1(X1)
| ~ r2(X1,sK12(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f274,plain,
( spl20_2
| spl20_2 ),
inference(avatar_split_clause,[],[f270,f272,f272]) ).
fof(f270,plain,
! [X2,X1] :
( ~ r2(X2,sK12(sK2))
| ~ r1(X1)
| ~ r1(X2)
| ~ r2(X1,sK12(sK2)) ),
inference(forward_demodulation,[],[f269,f241]) ).
fof(f241,plain,
! [X2] : sK12(X2) = sK13(X2,sK2),
inference(resolution,[],[f239,f84]) ).
fof(f84,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK12(X0) = X2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f239,plain,
! [X0] : r2(X0,sK13(X0,sK2)),
inference(superposition,[],[f218,f190]) ).
fof(f190,plain,
! [X0] : sK1(sK2,X0) = X0,
inference(forward_demodulation,[],[f180,f115]) ).
fof(f115,plain,
! [X0] : sK2 = sK11(X0),
inference(resolution,[],[f71,f82]) ).
fof(f82,plain,
! [X0] : r1(sK11(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK11(X0),sK10(X0))
& r1(sK11(X0))
& sK10(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f15,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 )
=> ( ? [X2] :
( r3(X0,X2,sK10(X0))
& r1(X2) )
& sK10(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK10(X0))
& r1(X2) )
=> ( r3(X0,sK11(X0),sK10(X0))
& r1(sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f71,plain,
! [X1] :
( ~ r1(X1)
| sK2 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f180,plain,
! [X0] : sK1(sK11(X0),X0) = X0,
inference(resolution,[],[f67,f113]) ).
fof(f113,plain,
! [X0] : r3(X0,sK11(X0),X0),
inference(forward_demodulation,[],[f83,f81]) ).
fof(f81,plain,
! [X0] : sK10(X0) = X0,
inference(cnf_transformation,[],[f45]) ).
fof(f83,plain,
! [X0] : r3(X0,sK11(X0),sK10(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f67,plain,
! [X3,X0,X1] :
( ~ r3(X1,X0,X3)
| sK1(X0,X1) = X3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X3] :
( ( ~ r3(X1,X0,X3)
& sK1(X0,X1) != X3 )
| ( sK1(X0,X1) = X3
& r3(X1,X0,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ r3(X1,X0,X3)
& X2 != X3 )
| ( X2 = X3
& r3(X1,X0,X3) ) )
=> ! [X3] :
( ( ~ r3(X1,X0,X3)
& sK1(X0,X1) != X3 )
| ( sK1(X0,X1) = X3
& r3(X1,X0,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ r3(X1,X0,X3)
& X2 != X3 )
| ( X2 = X3
& r3(X1,X0,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X5] :
? [X7] :
! [X8] :
( ( r3(X5,X6,X8)
& X7 = X8 )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f218,plain,
! [X2,X3] : r2(sK1(X3,X2),sK13(X2,X3)),
inference(superposition,[],[f90,f185]) ).
fof(f185,plain,
! [X8,X9] : sK1(X8,X9) = sK16(X9,X8),
inference(resolution,[],[f67,f91]) ).
fof(f91,plain,
! [X0,X1] : r3(X0,X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( sK14(X0,X1) = sK13(X0,X1)
& r2(X1,sK15(X0,X1))
& r3(X0,sK15(X0,X1),sK14(X0,X1))
& r3(X0,X1,sK16(X0,X1))
& r2(sK16(X0,X1),sK13(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f49,f53,f52,f51,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( sK13(X0,X1) = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK13(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X3] :
( sK13(X0,X1) = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
=> ( sK14(X0,X1) = sK13(X0,X1)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,sK14(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X4] :
( r2(X1,X4)
& r3(X0,X4,sK14(X0,X1)) )
=> ( r2(X1,sK15(X0,X1))
& r3(X0,sK15(X0,X1),sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK13(X0,X1)) )
=> ( r3(X0,X1,sK16(X0,X1))
& r2(sK16(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) )
& X15 = X16 )
& ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f90,plain,
! [X0,X1] : r2(sK16(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f269,plain,
! [X2,X1] :
( ~ r2(X1,sK13(sK2,sK2))
| ~ r1(X1)
| ~ r2(X2,sK12(sK2))
| ~ r1(X2) ),
inference(forward_demodulation,[],[f267,f191]) ).
fof(f191,plain,
! [X4,X5] : sK1(sK12(X5),X4) = sK13(X4,X5),
inference(forward_demodulation,[],[f183,f132]) ).
fof(f132,plain,
! [X3,X4] : sK12(X3) = sK15(X4,X3),
inference(resolution,[],[f84,f93]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK15(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f183,plain,
! [X4,X5] : sK1(sK15(X4,X5),X4) = sK13(X4,X5),
inference(resolution,[],[f67,f100]) ).
fof(f100,plain,
! [X0,X1] : r3(X0,sK15(X0,X1),sK13(X0,X1)),
inference(definition_unfolding,[],[f92,f94]) ).
fof(f94,plain,
! [X0,X1] : sK14(X0,X1) = sK13(X0,X1),
inference(cnf_transformation,[],[f54]) ).
fof(f92,plain,
! [X0,X1] : r3(X0,sK15(X0,X1),sK14(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f267,plain,
! [X2,X1] :
( ~ r1(X2)
| ~ r2(X1,sK1(sK12(sK2),sK2))
| ~ r2(X2,sK12(sK2))
| ~ r1(X1) ),
inference(resolution,[],[f265,f112]) ).
fof(f112,plain,
! [X2,X3,X1,X4] :
( ~ r4(X3,X3,X1)
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r1(X4)
| ~ r2(X4,X3) ),
inference(equality_resolution,[],[f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X2)
| ~ r2(X2,X1)
| X0 != X1
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r4(X3,X3,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| X0 != X1 )
| ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r4(X3,X3,X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| X0 != X3 )
| ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ r4(X1,X1,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ? [X0] :
( ? [X1] :
( r4(X1,X1,X0)
& ? [X2] :
( r1(X2)
& r2(X2,X1) ) )
& ? [X3] :
( X0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( r4(X21,X21,X38)
& ? [X15] :
( r2(X15,X21)
& r1(X15) ) )
& ? [X22] :
( ? [X16] :
( r1(X16)
& r2(X16,X22) )
& X22 = X38 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( r4(X21,X21,X38)
& ? [X15] :
( r2(X15,X21)
& r1(X15) ) )
& ? [X22] :
( ? [X16] :
( r1(X16)
& r2(X16,X22) )
& X22 = X38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onetimesoneeqone) ).
fof(f265,plain,
! [X4] : r4(X4,sK12(sK2),sK1(X4,sK2)),
inference(forward_demodulation,[],[f261,f131]) ).
fof(f131,plain,
! [X2,X1] : sK12(X1) = sK6(X2,X1),
inference(resolution,[],[f84,f73]) ).
fof(f73,plain,
! [X0,X1] : r2(X1,sK6(X0,X1)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( r3(sK4(X0,X1),X0,sK3(X0,X1))
& r4(X0,X1,sK4(X0,X1))
& r4(X0,sK6(X0,X1),sK5(X0,X1))
& r2(X1,sK6(X0,X1))
& sK3(X0,X1) = sK5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f34,f38,f37,f36,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X3,X0,X2)
& r4(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& X2 = X4 ) )
=> ( ? [X3] :
( r3(X3,X0,sK3(X0,X1))
& r4(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& sK3(X0,X1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X3] :
( r3(X3,X0,sK3(X0,X1))
& r4(X0,X1,X3) )
=> ( r3(sK4(X0,X1),X0,sK3(X0,X1))
& r4(X0,X1,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& sK3(X0,X1) = X4 )
=> ( ? [X5] :
( r4(X0,X5,sK5(X0,X1))
& r2(X1,X5) )
& sK3(X0,X1) = sK5(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK5(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK6(X0,X1),sK5(X0,X1))
& r2(X1,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X3,X0,X2)
& r4(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& X2 = X4 ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& X2 = X4 ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X20,X19] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f261,plain,
! [X4] : r4(X4,sK6(X4,sK2),sK1(X4,sK2)),
inference(superposition,[],[f74,f187]) ).
fof(f187,plain,
! [X12] : sK5(X12,sK2) = sK1(X12,sK2),
inference(resolution,[],[f67,f178]) ).
fof(f178,plain,
! [X0] : r3(sK2,X0,sK5(X0,sK2)),
inference(superposition,[],[f174,f172]) ).
fof(f172,plain,
! [X9] : sK2 = sK0(X9,sK2),
inference(forward_demodulation,[],[f171,f116]) ).
fof(f116,plain,
! [X1] : sK2 = sK18(X1),
inference(resolution,[],[f71,f98]) ).
fof(f98,plain,
! [X0] : r1(sK18(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( r1(sK18(X0))
& r4(X0,sK18(X0),sK17(X0))
& r1(sK19(X0))
& sK17(X0) = sK19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f17,f57,f56,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) )
=> ( ? [X2] :
( r1(X2)
& r4(X0,X2,sK17(X0)) )
& ? [X3] :
( r1(X3)
& sK17(X0) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,sK17(X0)) )
=> ( r1(sK18(X0))
& r4(X0,sK18(X0),sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& sK17(X0) = X3 )
=> ( r1(sK19(X0))
& sK17(X0) = sK19(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X34] :
( r1(X34)
& r4(X32,X34,X33) )
& ? [X35] :
( r1(X35)
& X33 = X35 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f171,plain,
! [X9] : sK2 = sK0(X9,sK18(X9)),
inference(forward_demodulation,[],[f169,f117]) ).
fof(f117,plain,
! [X2] : sK19(X2) = sK2,
inference(resolution,[],[f71,f96]) ).
fof(f96,plain,
! [X0] : r1(sK19(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f169,plain,
! [X9] : sK0(X9,sK18(X9)) = sK19(X9),
inference(resolution,[],[f62,f101]) ).
fof(f101,plain,
! [X0] : r4(X0,sK18(X0),sK19(X0)),
inference(definition_unfolding,[],[f97,f95]) ).
fof(f95,plain,
! [X0] : sK17(X0) = sK19(X0),
inference(cnf_transformation,[],[f58]) ).
fof(f97,plain,
! [X0] : r4(X0,sK18(X0),sK17(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f62,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK0(X0,X1) = X3 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X3] :
( ( sK0(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK0(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) )
=> ! [X3] :
( ( sK0(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK0(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X1,X0,X3) )
| ( X2 != X3
& ~ r4(X1,X0,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X10,X9] :
? [X11] :
! [X12] :
( ( r4(X9,X10,X12)
& X11 = X12 )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f174,plain,
! [X0,X1] : r3(sK0(X0,X1),X0,sK5(X0,X1)),
inference(superposition,[],[f99,f164]) ).
fof(f164,plain,
! [X0,X1] : sK0(X0,X1) = sK4(X0,X1),
inference(resolution,[],[f62,f75]) ).
fof(f75,plain,
! [X0,X1] : r4(X0,X1,sK4(X0,X1)),
inference(cnf_transformation,[],[f39]) ).
fof(f99,plain,
! [X0,X1] : r3(sK4(X0,X1),X0,sK5(X0,X1)),
inference(definition_unfolding,[],[f76,f72]) ).
fof(f72,plain,
! [X0,X1] : sK3(X0,X1) = sK5(X0,X1),
inference(cnf_transformation,[],[f39]) ).
fof(f76,plain,
! [X0,X1] : r3(sK4(X0,X1),X0,sK3(X0,X1)),
inference(cnf_transformation,[],[f39]) ).
fof(f74,plain,
! [X0,X1] : r4(X0,sK6(X0,X1),sK5(X0,X1)),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : NUN071+2 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 10:02:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (21270)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)
% 0.18/0.48 % (21256)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)
% 0.18/0.49 % (21271)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)
% 0.18/0.49 % (21258)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)
% 0.18/0.49 % (21261)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)
% 0.18/0.49 % (21279)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)
% 0.18/0.49 % (21269)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (21260)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)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 % (21262)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (21273)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50 % (21277)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50 TRYING [2]
% 0.18/0.50 % (21264)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)
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (21286)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)
% 0.18/0.51 % (21256)Refutation not found, incomplete strategy% (21256)------------------------------
% 0.18/0.51 % (21256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (21256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (21256)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (21256)Memory used [KB]: 5500
% 0.18/0.51 % (21256)Time elapsed: 0.122 s
% 0.18/0.51 % (21256)Instructions burned: 3 (million)
% 0.18/0.51 % (21256)------------------------------
% 0.18/0.51 % (21256)------------------------------
% 0.18/0.51 % (21269)First to succeed.
% 0.18/0.51 % (21281)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 TRYING [4]
% 0.18/0.51 % (21257)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)
% 1.35/0.52 % (21268)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.35/0.52 TRYING [1]
% 1.35/0.52 TRYING [2]
% 1.35/0.52 % (21269)Refutation found. Thanks to Tanya!
% 1.35/0.52 % SZS status Theorem for theBenchmark
% 1.35/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.52 % (21269)------------------------------
% 1.35/0.52 % (21269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52 % (21269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.52 % (21269)Termination reason: Refutation
% 1.35/0.52
% 1.35/0.52 % (21269)Memory used [KB]: 5628
% 1.35/0.52 % (21269)Time elapsed: 0.116 s
% 1.35/0.52 % (21269)Instructions burned: 8 (million)
% 1.35/0.52 % (21269)------------------------------
% 1.35/0.52 % (21269)------------------------------
% 1.35/0.52 % (21253)Success in time 0.174 s
%------------------------------------------------------------------------------