TSTP Solution File: NUN071+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n008.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 18:07:41 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 106 ( 49 unt; 0 def)
% Number of atoms : 319 ( 101 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 287 ( 74 ~; 46 |; 150 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 278 ( 182 !; 96 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(subsumption_resolution,[],[f222,f110]) ).
fof(f110,plain,
! [X0] : r2(X0,sK18(X0)),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X0] :
( sK18(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X2] :
( ( sK18(X0) != X2
& ~ r2(X0,X2) )
| ( sK18(X0) = X2
& r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f20,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( X1 = X2
& r2(X0,X2) ) )
=> ! [X2] :
( ( sK18(X0) != X2
& ~ r2(X0,X2) )
| ( sK18(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] :
( ( X3 != X4
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& X3 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f222,plain,
~ r2(sK17,sK18(sK17)),
inference(backward_demodulation,[],[f212,f217]) ).
fof(f217,plain,
sK1(sK17,sK18(sK17)) = sK18(sK17),
inference(superposition,[],[f198,f200]) ).
fof(f200,plain,
! [X0] : sK14(X0,sK17) = sK1(sK17,X0),
inference(unit_resulting_resolution,[],[f168,f165]) ).
fof(f165,plain,
! [X3,X0,X1] :
( ~ r3(X1,X0,X3)
| sK14(X0,X1) = X3 ),
inference(backward_demodulation,[],[f98,f160]) ).
fof(f160,plain,
! [X0,X1] : sK14(X0,X1) = sK19(X0,X1),
inference(unit_resulting_resolution,[],[f83,f98]) ).
fof(f83,plain,
! [X0,X1] : r3(X1,X0,sK14(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( r2(sK14(X0,X1),sK13(X0,X1))
& r3(X1,X0,sK14(X0,X1))
& sK13(X0,X1) = sK15(X0,X1)
& r3(X1,sK16(X0,X1),sK15(X0,X1))
& r2(X0,sK16(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f45,f49,f48,f47,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) ) )
=> ( ? [X3] :
( r2(X3,sK13(X0,X1))
& r3(X1,X0,X3) )
& ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3] :
( r2(X3,sK13(X0,X1))
& r3(X1,X0,X3) )
=> ( r2(sK14(X0,X1),sK13(X0,X1))
& r3(X1,X0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) )
=> ( sK13(X0,X1) = sK15(X0,X1)
& ? [X5] :
( r3(X1,X5,sK15(X0,X1))
& r2(X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X5] :
( r3(X1,X5,sK15(X0,X1))
& r2(X0,X5) )
=> ( r3(X1,sK16(X0,X1),sK15(X0,X1))
& r2(X0,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
? [X2] :
( ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) )
& ? [X3] :
( X2 = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [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(f98,plain,
! [X3,X0,X1] :
( ~ r3(X1,X0,X3)
| sK19(X0,X1) = X3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X3] :
( ( sK19(X0,X1) = X3
& r3(X1,X0,X3) )
| ( sK19(X0,X1) != X3
& ~ r3(X1,X0,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X1,X0,X3) )
| ( X2 != X3
& ~ r3(X1,X0,X3) ) )
=> ! [X3] :
( ( sK19(X0,X1) = X3
& r3(X1,X0,X3) )
| ( sK19(X0,X1) != X3
& ~ r3(X1,X0,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X1,X0,X3) )
| ( X2 != X3
& ~ r3(X1,X0,X3) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,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/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f168,plain,
! [X0] : r3(sK17,X0,sK1(sK17,X0)),
inference(superposition,[],[f100,f167]) ).
fof(f167,plain,
! [X0] : sK3(sK17,X0) = sK17,
inference(superposition,[],[f151,f152]) ).
fof(f152,plain,
! [X0,X1] : sK7(X0,X1) = sK3(X1,X0),
inference(unit_resulting_resolution,[],[f60,f69]) ).
fof(f69,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK7(X0,X1) = X3 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X3] :
( ( sK7(X0,X1) != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& sK7(X0,X1) = X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f16,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& X2 = X3 ) )
=> ! [X3] :
( ( sK7(X0,X1) != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& sK7(X0,X1) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& X2 = X3 ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( X11 != X12
& ~ r4(X9,X10,X12) )
| ( X11 = X12
& r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f60,plain,
! [X0,X1] : r4(X1,X0,sK3(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( r2(X0,sK2(X0,X1))
& r4(X1,sK2(X0,X1),sK1(X0,X1))
& sK0(X0,X1) = sK1(X0,X1)
& r3(sK3(X0,X1),X1,sK0(X0,X1))
& r4(X1,X0,sK3(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f26,f30,f29,f28,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) ) )
=> ( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,X3) )
& sK0(X0,X1) = X3 )
& ? [X5] :
( r3(X5,X1,sK0(X0,X1))
& r4(X1,X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,X3) )
& sK0(X0,X1) = X3 )
=> ( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,sK1(X0,X1)) )
& sK0(X0,X1) = sK1(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,sK1(X0,X1)) )
=> ( r2(X0,sK2(X0,X1))
& r4(X1,sK2(X0,X1),sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X5] :
( r3(X5,X1,sK0(X0,X1))
& r4(X1,X0,X5) )
=> ( r3(sK3(X0,X1),X1,sK0(X0,X1))
& r4(X1,X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X1,X4)
& r4(X0,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) )
& ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f151,plain,
! [X0] : sK7(X0,sK17) = sK17,
inference(unit_resulting_resolution,[],[f121,f69]) ).
fof(f121,plain,
! [X0] : r4(X0,sK17,sK17),
inference(backward_demodulation,[],[f120,f115]) ).
fof(f115,plain,
! [X0] : sK5(X0) = sK17,
inference(unit_resulting_resolution,[],[f67,f86]) ).
fof(f86,plain,
! [X1] :
( ~ r1(X1)
| sK17 = X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1] :
( ( sK17 != X1
& ~ r1(X1) )
| ( r1(X1)
& sK17 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f1,f52]) ).
fof(f52,plain,
( ? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( sK17 != X1
& ~ r1(X1) )
| ( r1(X1)
& sK17 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f67,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( r4(X0,sK5(X0),sK4(X0))
& r1(sK5(X0))
& sK4(X0) = sK6(X0)
& r1(sK6(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f17,f34,f33,f32]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( X1 = X3
& r1(X3) ) )
=> ( ? [X2] :
( r4(X0,X2,sK4(X0))
& r1(X2) )
& ? [X3] :
( sK4(X0) = X3
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ? [X2] :
( r4(X0,X2,sK4(X0))
& r1(X2) )
=> ( r4(X0,sK5(X0),sK4(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X3] :
( sK4(X0) = X3
& r1(X3) )
=> ( sK4(X0) = sK6(X0)
& r1(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( X1 = X3
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X34] :
( r1(X34)
& r4(X32,X34,X33) )
& ? [X35] :
( X33 = X35
& r1(X35) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f120,plain,
! [X0] : r4(X0,sK5(X0),sK17),
inference(backward_demodulation,[],[f101,f116]) ).
fof(f116,plain,
! [X0] : sK6(X0) = sK17,
inference(unit_resulting_resolution,[],[f65,f86]) ).
fof(f65,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f101,plain,
! [X0] : r4(X0,sK5(X0),sK6(X0)),
inference(definition_unfolding,[],[f68,f66]) ).
fof(f66,plain,
! [X0] : sK4(X0) = sK6(X0),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0] : r4(X0,sK5(X0),sK4(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f100,plain,
! [X0,X1] : r3(sK3(X0,X1),X1,sK1(X0,X1)),
inference(definition_unfolding,[],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] : sK0(X0,X1) = sK1(X0,X1),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] : r3(sK3(X0,X1),X1,sK0(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f198,plain,
! [X0] : sK14(sK18(sK17),X0) = sK18(X0),
inference(unit_resulting_resolution,[],[f179,f165]) ).
fof(f179,plain,
! [X1] : r3(X1,sK18(sK17),sK18(X1)),
inference(superposition,[],[f134,f174]) ).
fof(f174,plain,
! [X0] : sK15(sK17,X0) = sK18(X0),
inference(superposition,[],[f138,f173]) ).
fof(f173,plain,
! [X0] : sK14(sK17,X0) = X0,
inference(superposition,[],[f159,f160]) ).
fof(f159,plain,
! [X0] : sK19(sK17,X0) = X0,
inference(unit_resulting_resolution,[],[f123,f98]) ).
fof(f123,plain,
! [X0] : r3(X0,sK17,X0),
inference(backward_demodulation,[],[f114,f117]) ).
fof(f117,plain,
! [X0] : sK12(X0) = sK17,
inference(unit_resulting_resolution,[],[f79,f86]) ).
fof(f79,plain,
! [X0] : r1(sK12(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( r1(sK12(X0))
& r3(X0,sK12(X0),sK11(X0))
& sK11(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f22,f43,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& X0 = X1 )
=> ( ? [X2] :
( r1(X2)
& r3(X0,X2,sK11(X0)) )
& sK11(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK11(X0)) )
=> ( r1(sK12(X0))
& r3(X0,sK12(X0),sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( ? [X31] :
( r3(X29,X31,X30)
& r1(X31) )
& X29 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f114,plain,
! [X0] : r3(X0,sK12(X0),X0),
inference(forward_demodulation,[],[f78,f77]) ).
fof(f77,plain,
! [X0] : sK11(X0) = X0,
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0] : r3(X0,sK12(X0),sK11(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f138,plain,
! [X0,X1] : sK18(sK14(X0,X1)) = sK15(X0,X1),
inference(unit_resulting_resolution,[],[f102,f92]) ).
fof(f92,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK18(X0) = X2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f102,plain,
! [X0,X1] : r2(sK14(X0,X1),sK15(X0,X1)),
inference(definition_unfolding,[],[f84,f82]) ).
fof(f82,plain,
! [X0,X1] : sK13(X0,X1) = sK15(X0,X1),
inference(cnf_transformation,[],[f50]) ).
fof(f84,plain,
! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f134,plain,
! [X0,X1] : r3(X1,sK18(X0),sK15(X0,X1)),
inference(backward_demodulation,[],[f81,f131]) ).
fof(f131,plain,
! [X0,X1] : sK16(X0,X1) = sK18(X0),
inference(unit_resulting_resolution,[],[f80,f92]) ).
fof(f80,plain,
! [X0,X1] : r2(X0,sK16(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f81,plain,
! [X0,X1] : r3(X1,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f212,plain,
~ r2(sK17,sK1(sK17,sK18(sK17))),
inference(unit_resulting_resolution,[],[f106,f106,f110,f137,f108]) ).
fof(f108,plain,
! [X2,X3,X1,X4] :
( ~ r4(X1,X1,X3)
| ~ r2(X4,X3)
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r1(X4) ),
inference(equality_resolution,[],[f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X2,X1)
| ~ r1(X2)
| ~ r4(X1,X1,X0)
| X0 != X3
| ~ r2(X4,X3)
| ~ r1(X4) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| ~ r4(X1,X1,X0) )
| ! [X3] :
( X0 != X3
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ~ r4(X3,X3,X0) )
| ! [X1] :
( X0 != X1
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X3] :
( ? [X4] :
( r1(X4)
& r2(X4,X3) )
& r4(X3,X3,X0) )
& ? [X1] :
( X0 = X1
& ? [X2] :
( r1(X2)
& r2(X2,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& r1(X16) )
& X22 = X38 )
& ? [X21] :
( r4(X21,X21,X38)
& ? [X15] :
( r1(X15)
& r2(X15,X21) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& r1(X16) )
& X22 = X38 )
& ? [X21] :
( r4(X21,X21,X38)
& ? [X15] :
( r1(X15)
& r2(X15,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onetimesoneeqone) ).
fof(f137,plain,
! [X0,X1] : r4(X1,sK18(X0),sK1(X0,X1)),
inference(backward_demodulation,[],[f63,f130]) ).
fof(f130,plain,
! [X0,X1] : sK2(X0,X1) = sK18(X0),
inference(unit_resulting_resolution,[],[f64,f92]) ).
fof(f64,plain,
! [X0,X1] : r2(X0,sK2(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
! [X0,X1] : r4(X1,sK2(X0,X1),sK1(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f106,plain,
r1(sK17),
inference(equality_resolution,[],[f89]) ).
fof(f89,plain,
! [X1] :
( sK17 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : NUN071+2 : TPTP v8.1.0. Released v7.3.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.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 09:50:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (5514)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (5503)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49 % (5505)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (5512)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.49 % (5504)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (5514)First to succeed.
% 0.18/0.50 % (5513)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.50 % (5513)Refutation not found, incomplete strategy% (5513)------------------------------
% 0.18/0.50 % (5513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (5525)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50 % (5524)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (5513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (5513)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (5513)Memory used [KB]: 6012
% 0.18/0.50 % (5513)Time elapsed: 0.111 s
% 0.18/0.50 % (5513)Instructions burned: 3 (million)
% 0.18/0.50 % (5513)------------------------------
% 0.18/0.50 % (5513)------------------------------
% 0.18/0.50 % (5527)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (5514)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (5514)------------------------------
% 0.18/0.51 % (5514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (5514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (5514)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (5514)Memory used [KB]: 6140
% 0.18/0.51 % (5514)Time elapsed: 0.097 s
% 0.18/0.51 % (5514)Instructions burned: 6 (million)
% 0.18/0.51 % (5514)------------------------------
% 0.18/0.51 % (5514)------------------------------
% 0.18/0.51 % (5499)Success in time 0.164 s
%------------------------------------------------------------------------------