TSTP Solution File: NUN084+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN084+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 : n012.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 18:07:49 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 111 ( 50 unt; 0 def)
% Number of atoms : 323 ( 100 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 292 ( 80 ~; 48 |; 147 &)
% ( 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 : 297 ( 198 !; 99 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,plain,
$false,
inference(subsumption_resolution,[],[f341,f103]) ).
fof(f103,plain,
r1(sK4),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X1] :
( sK4 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ( sK4 != X1
& ~ r1(X1) )
| ( r1(X1)
& sK4 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f1,f32]) ).
fof(f32,plain,
( ? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( sK4 != X1
& ~ r1(X1) )
| ( r1(X1)
& sK4 = 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(f341,plain,
~ r1(sK4),
inference(resolution,[],[f339,f109]) ).
fof(f109,plain,
! [X0] : r2(X0,sK6(X0)),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X2,X0] :
( sK6(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X2] :
( ( ~ r2(X0,X2)
& sK6(X0) != X2 )
| ( r2(X0,X2)
& sK6(X0) = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f20,f37]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( r2(X0,X2)
& X1 = X2 ) )
=> ! [X2] :
( ( ~ r2(X0,X2)
& sK6(X0) != X2 )
| ( r2(X0,X2)
& sK6(X0) = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( r2(X0,X2)
& X1 = 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(f339,plain,
! [X1] :
( ~ r2(X1,sK6(sK4))
| ~ r1(X1) ),
inference(superposition,[],[f336,f252]) ).
fof(f252,plain,
sK0(sK4,sK6(sK4)) = sK6(sK4),
inference(superposition,[],[f239,f214]) ).
fof(f214,plain,
! [X9] : sK9(X9,sK4) = sK0(sK4,X9),
inference(resolution,[],[f82,f197]) ).
fof(f197,plain,
! [X3] : r3(sK4,X3,sK0(sK4,X3)),
inference(superposition,[],[f64,f194]) ).
fof(f194,plain,
! [X0] : sK1(sK4,X0) = sK4,
inference(superposition,[],[f181,f182]) ).
fof(f182,plain,
! [X2,X1] : sK1(X2,X1) = sK5(X1,X2),
inference(resolution,[],[f74,f63]) ).
fof(f63,plain,
! [X0,X1] : r4(X1,X0,sK1(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( r3(sK1(X0,X1),X1,sK0(X0,X1))
& r4(X1,X0,sK1(X0,X1))
& r4(X1,sK3(X0,X1),sK2(X0,X1))
& r2(X0,sK3(X0,X1))
& sK2(X0,X1) = sK0(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] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& X2 = X4 ) )
=> ( ? [X3] :
( r3(X3,X1,sK0(X0,X1))
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& sK0(X0,X1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X3] :
( r3(X3,X1,sK0(X0,X1))
& r4(X1,X0,X3) )
=> ( r3(sK1(X0,X1),X1,sK0(X0,X1))
& r4(X1,X0,sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& sK0(X0,X1) = X4 )
=> ( ? [X5] :
( r4(X1,X5,sK2(X0,X1))
& r2(X0,X5) )
& sK2(X0,X1) = sK0(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X5,sK2(X0,X1))
& r2(X0,X5) )
=> ( r4(X1,sK3(X0,X1),sK2(X0,X1))
& r2(X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& X2 = X4 ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
? [X2] :
( ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) )
& ? [X3] :
( ? [X4] :
( r4(X0,X4,X3)
& r2(X1,X4) )
& X2 = X3 ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( X21 = X22
& ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) ) )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f74,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK5(X0,X1) = X3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X3] :
( ( sK5(X0,X1) = X3
& r4(X0,X1,X3) )
| ( ~ r4(X0,X1,X3)
& sK5(X0,X1) != X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f15,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( ~ r4(X0,X1,X3)
& X2 != X3 ) )
=> ! [X3] :
( ( sK5(X0,X1) = X3
& r4(X0,X1,X3) )
| ( ~ r4(X0,X1,X3)
& sK5(X0,X1) != X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,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] :
( ( r4(X9,X10,X12)
& X11 = X12 )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f181,plain,
! [X0] : sK5(X0,sK4) = sK4,
inference(resolution,[],[f74,f123]) ).
fof(f123,plain,
! [X0] : r4(X0,sK4,sK4),
inference(backward_demodulation,[],[f122,f118]) ).
fof(f118,plain,
! [X2] : sK12(X2) = sK4,
inference(resolution,[],[f65,f87]) ).
fof(f87,plain,
! [X0] : r1(sK12(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sK11(X0) = sK10(X0)
& r1(sK11(X0))
& r1(sK12(X0))
& r4(X0,sK12(X0),sK10(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f17,f47,f46,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r1(X3)
& r4(X0,X3,X1) ) )
=> ( ? [X2] :
( sK10(X0) = X2
& r1(X2) )
& ? [X3] :
( r1(X3)
& r4(X0,X3,sK10(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ? [X2] :
( sK10(X0) = X2
& r1(X2) )
=> ( sK11(X0) = sK10(X0)
& r1(sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& r4(X0,X3,sK10(X0)) )
=> ( r1(sK12(X0))
& r4(X0,sK12(X0),sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r1(X3)
& r4(X0,X3,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f65,plain,
! [X1] :
( ~ r1(X1)
| sK4 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f122,plain,
! [X0] : r4(X0,sK12(X0),sK4),
inference(backward_demodulation,[],[f86,f117]) ).
fof(f117,plain,
! [X1] : sK4 = sK10(X1),
inference(resolution,[],[f65,f101]) ).
fof(f101,plain,
! [X0] : r1(sK10(X0)),
inference(definition_unfolding,[],[f88,f89]) ).
fof(f89,plain,
! [X0] : sK11(X0) = sK10(X0),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
! [X0] : r1(sK11(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f86,plain,
! [X0] : r4(X0,sK12(X0),sK10(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f64,plain,
! [X0,X1] : r3(sK1(X0,X1),X1,sK0(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f82,plain,
! [X3,X0,X1] :
( ~ r3(X1,X0,X3)
| sK9(X0,X1) = X3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X3] :
( ( r3(X1,X0,X3)
& sK9(X0,X1) = X3 )
| ( sK9(X0,X1) != X3
& ~ r3(X1,X0,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( r3(X1,X0,X3)
& X2 = X3 )
| ( X2 != X3
& ~ r3(X1,X0,X3) ) )
=> ! [X3] :
( ( r3(X1,X0,X3)
& sK9(X0,X1) = X3 )
| ( sK9(X0,X1) != X3
& ~ r3(X1,X0,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( r3(X1,X0,X3)
& X2 = X3 )
| ( X2 != X3
& ~ r3(X1,X0,X3) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( r3(X0,X1,X3)
& X2 = 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(f239,plain,
! [X0] : sK9(sK6(sK4),X0) = sK6(X0),
inference(resolution,[],[f235,f82]) ).
fof(f235,plain,
! [X2] : r3(X2,sK6(sK4),sK6(X2)),
inference(superposition,[],[f140,f228]) ).
fof(f228,plain,
! [X0] : sK13(X0,sK4) = sK6(X0),
inference(resolution,[],[f227,f77]) ).
fof(f77,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK6(X0) = X2 ),
inference(cnf_transformation,[],[f38]) ).
fof(f227,plain,
! [X0] : r2(X0,sK13(X0,sK4)),
inference(superposition,[],[f215,f209]) ).
fof(f209,plain,
! [X0] : sK9(sK4,X0) = X0,
inference(resolution,[],[f82,f120]) ).
fof(f120,plain,
! [X0] : r3(X0,sK4,X0),
inference(backward_demodulation,[],[f114,f116]) ).
fof(f116,plain,
! [X0] : sK4 = sK8(X0),
inference(resolution,[],[f65,f80]) ).
fof(f80,plain,
! [X0] : r1(sK8(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( r3(X0,sK8(X0),sK7(X0))
& r1(sK8(X0))
& sK7(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f24,f40,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 )
=> ( ? [X2] :
( r3(X0,X2,sK7(X0))
& r1(X2) )
& sK7(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK7(X0))
& r1(X2) )
=> ( r3(X0,sK8(X0),sK7(X0))
& r1(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& 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,sK8(X0),X0),
inference(forward_demodulation,[],[f81,f79]) ).
fof(f79,plain,
! [X0] : sK7(X0) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f81,plain,
! [X0] : r3(X0,sK8(X0),sK7(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f215,plain,
! [X0,X1] : r2(sK9(X1,X0),sK13(X0,X1)),
inference(backward_demodulation,[],[f93,f210]) ).
fof(f210,plain,
! [X2,X1] : sK9(X1,X2) = sK14(X2,X1),
inference(resolution,[],[f82,f94]) ).
fof(f94,plain,
! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1))
& sK15(X0,X1) = sK13(X0,X1)
& r2(X1,sK16(X0,X1))
& r3(X0,sK16(X0,X1),sK15(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] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
& ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
=> ( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) ) )
=> ( sK15(X0,X1) = sK13(X0,X1)
& ? [X5] :
( r2(X1,X5)
& r3(X0,X5,sK15(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,sK15(X0,X1)) )
=> ( r2(X1,sK16(X0,X1))
& r3(X0,sK16(X0,X1),sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) )
& ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) ) ),
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(f93,plain,
! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f140,plain,
! [X0,X1] : r3(X0,sK6(X1),sK13(X0,X1)),
inference(backward_demodulation,[],[f102,f136]) ).
fof(f136,plain,
! [X3,X4] : sK16(X4,X3) = sK6(X3),
inference(resolution,[],[f77,f91]) ).
fof(f91,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f102,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK13(X0,X1)),
inference(definition_unfolding,[],[f90,f92]) ).
fof(f92,plain,
! [X0,X1] : sK15(X0,X1) = sK13(X0,X1),
inference(cnf_transformation,[],[f54]) ).
fof(f90,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f336,plain,
! [X2,X3] :
( ~ r2(X2,sK0(sK4,X3))
| ~ r1(X2) ),
inference(forward_demodulation,[],[f333,f214]) ).
fof(f333,plain,
! [X2,X3] :
( ~ r2(X2,sK9(X3,sK4))
| ~ r1(X2) ),
inference(resolution,[],[f328,f215]) ).
fof(f328,plain,
! [X8,X6,X7] :
( ~ r2(X7,sK13(sK4,X6))
| ~ r1(X8)
| ~ r2(X8,X7) ),
inference(superposition,[],[f149,f304]) ).
fof(f304,plain,
! [X5] : sK0(sK4,sK6(X5)) = sK13(sK4,X5),
inference(superposition,[],[f214,f212]) ).
fof(f212,plain,
! [X6,X5] : sK9(sK6(X5),X6) = sK13(X6,X5),
inference(resolution,[],[f82,f140]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,sK0(X1,X2))
| ~ r2(X3,X0)
| ~ r1(X3) ),
inference(resolution,[],[f143,f105]) ).
fof(f105,plain,
! [X2,X3,X1,X4,X5] :
( ~ r4(X2,X1,X3)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X5) ),
inference(equality_resolution,[],[f69]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X5)
| X0 != X3
| ~ r4(X2,X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) ) )
| X0 != X3 )
| ~ r4(X2,X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) ) )
| X2 != X3 )
| ~ r4(X1,X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X1,X0,X2] :
( r4(X1,X0,X2)
& ? [X3] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X3) )
& X2 = X3 ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X21,X38,X22] :
( r4(X38,X21,X22)
& ? [X15] :
( X15 = X22
& ? [X16] :
( ? [X24] :
( r1(X24)
& r2(X24,X16) )
& r2(X16,X15) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X21,X38,X22] :
( r4(X38,X21,X22)
& ? [X15] :
( X15 = X22
& ? [X16] :
( ? [X24] :
( r1(X24)
& r2(X24,X16) )
& r2(X16,X15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xtimesyeqtwo) ).
fof(f143,plain,
! [X0,X1] : r4(X1,sK6(X0),sK0(X0,X1)),
inference(backward_demodulation,[],[f100,f135]) ).
fof(f135,plain,
! [X2,X1] : sK3(X1,X2) = sK6(X1),
inference(resolution,[],[f77,f61]) ).
fof(f61,plain,
! [X0,X1] : r2(X0,sK3(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f100,plain,
! [X0,X1] : r4(X1,sK3(X0,X1),sK0(X0,X1)),
inference(definition_unfolding,[],[f62,f60]) ).
fof(f60,plain,
! [X0,X1] : sK2(X0,X1) = sK0(X0,X1),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0,X1] : r4(X1,sK3(X0,X1),sK2(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN084+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % 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 : n012.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 09:49:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (29986)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49 % (29993)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)
% 0.19/0.50 % (29984)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)
% 0.19/0.50 % (29984)Refutation not found, incomplete strategy% (29984)------------------------------
% 0.19/0.50 % (29984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29984)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (29984)Memory used [KB]: 6012
% 0.19/0.50 % (29984)Time elapsed: 0.101 s
% 0.19/0.50 % (29984)Instructions burned: 2 (million)
% 0.19/0.50 % (29984)------------------------------
% 0.19/0.50 % (29984)------------------------------
% 0.19/0.50 % (29985)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)
% 0.19/0.50 % (29987)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (29995)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (30003)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.50 % (30007)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50 % (29993)Instruction limit reached!
% 0.19/0.50 % (29993)------------------------------
% 0.19/0.50 % (29993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29993)Termination reason: Unknown
% 0.19/0.50 % (29993)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (29993)Memory used [KB]: 6140
% 0.19/0.50 % (29993)Time elapsed: 0.113 s
% 0.19/0.50 % (29993)Instructions burned: 7 (million)
% 0.19/0.50 % (29993)------------------------------
% 0.19/0.50 % (29993)------------------------------
% 0.19/0.50 % (29982)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (30007)Refutation not found, incomplete strategy% (30007)------------------------------
% 0.19/0.50 % (30007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (30007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (30007)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (30007)Memory used [KB]: 1535
% 0.19/0.50 % (30007)Time elapsed: 0.074 s
% 0.19/0.50 % (30007)Instructions burned: 3 (million)
% 0.19/0.50 % (30007)------------------------------
% 0.19/0.50 % (30007)------------------------------
% 0.19/0.51 % (29992)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)
% 0.19/0.51 % (30011)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51 % (30010)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (30000)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (30010)Refutation not found, incomplete strategy% (30010)------------------------------
% 0.19/0.51 % (30010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30010)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (30010)Memory used [KB]: 6012
% 0.19/0.51 % (30010)Time elapsed: 0.095 s
% 0.19/0.51 % (30010)Instructions burned: 3 (million)
% 0.19/0.51 % (30010)------------------------------
% 0.19/0.51 % (30010)------------------------------
% 0.19/0.51 % (29985)Refutation not found, incomplete strategy% (29985)------------------------------
% 0.19/0.51 % (29985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29985)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (29985)Memory used [KB]: 6140
% 0.19/0.51 % (29985)Time elapsed: 0.114 s
% 0.19/0.51 % (29985)Instructions burned: 7 (million)
% 0.19/0.51 % (29985)------------------------------
% 0.19/0.51 % (29985)------------------------------
% 0.19/0.51 % (29986)First to succeed.
% 0.19/0.51 % (30003)Refutation not found, incomplete strategy% (30003)------------------------------
% 0.19/0.51 % (30003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29992)Refutation not found, incomplete strategy% (29992)------------------------------
% 0.19/0.51 % (29992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29992)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (29992)Memory used [KB]: 6012
% 0.19/0.51 % (29992)Time elapsed: 0.118 s
% 0.19/0.51 % (29992)Instructions burned: 3 (million)
% 0.19/0.51 % (29992)------------------------------
% 0.19/0.51 % (29992)------------------------------
% 0.19/0.51 % (30003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30003)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (30003)Memory used [KB]: 6012
% 0.19/0.51 % (30003)Time elapsed: 0.130 s
% 0.19/0.51 % (30003)Instructions burned: 7 (million)
% 0.19/0.51 % (30003)------------------------------
% 0.19/0.51 % (30003)------------------------------
% 0.19/0.51 % (30000)Instruction limit reached!
% 0.19/0.51 % (30000)------------------------------
% 0.19/0.51 % (30000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30000)Termination reason: Unknown
% 0.19/0.51 % (30000)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (30000)Memory used [KB]: 1407
% 0.19/0.51 % (30000)Time elapsed: 0.003 s
% 0.19/0.51 % (30000)Instructions burned: 2 (million)
% 0.19/0.51 % (30000)------------------------------
% 0.19/0.51 % (30000)------------------------------
% 0.19/0.51 % (29988)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (29983)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)
% 0.19/0.51 % (29989)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (29994)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52 % (29996)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (29994)Refutation not found, incomplete strategy% (29994)------------------------------
% 0.19/0.52 % (29994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29994)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (29994)Memory used [KB]: 1535
% 0.19/0.52 % (29994)Time elapsed: 0.122 s
% 0.19/0.52 % (29994)Instructions burned: 3 (million)
% 0.19/0.52 % (29994)------------------------------
% 0.19/0.52 % (29994)------------------------------
% 0.19/0.52 % (30006)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)
% 0.19/0.52 % (29986)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (29986)------------------------------
% 0.19/0.52 % (29986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29986)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (29986)Memory used [KB]: 6140
% 0.19/0.52 % (29986)Time elapsed: 0.122 s
% 0.19/0.52 % (29986)Instructions burned: 12 (million)
% 0.19/0.52 % (29986)------------------------------
% 0.19/0.52 % (29986)------------------------------
% 0.19/0.52 % (29981)Success in time 0.171 s
%------------------------------------------------------------------------------