TSTP Solution File: NUN084+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n021.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 18:08:09 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 117 ( 57 unt; 0 def)
% Number of atoms : 329 ( 102 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 292 ( 80 ~; 45 |; 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 : 319 ( 217 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f394,plain,
$false,
inference(subsumption_resolution,[],[f392,f107]) ).
fof(f107,plain,
! [X0] : r2(X0,sK4(X0)),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X0] :
( sK4(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X2] :
( ( sK4(X0) != X2
& ~ r2(X0,X2) )
| ( sK4(X0) = X2
& r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f22,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( X1 = X2
& r2(X0,X2) ) )
=> ! [X2] :
( ( sK4(X0) != X2
& ~ r2(X0,X2) )
| ( sK4(X0) = X2
& r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,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(f392,plain,
~ r2(sK4(sK5),sK4(sK4(sK5))),
inference(superposition,[],[f383,f205]) ).
fof(f205,plain,
! [X2] : sK4(X2) = sK9(X2,sK5),
inference(resolution,[],[f181,f73]) ).
fof(f73,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK4(X0) = X2 ),
inference(cnf_transformation,[],[f36]) ).
fof(f181,plain,
! [X0] : r2(X0,sK9(X0,sK5)),
inference(superposition,[],[f174,f167]) ).
fof(f167,plain,
! [X0] : sK0(sK5,X0) = X0,
inference(resolution,[],[f65,f123]) ).
fof(f123,plain,
! [X0] : r3(X0,sK5,X0),
inference(backward_demodulation,[],[f113,f120]) ).
fof(f120,plain,
! [X2] : sK8(X2) = sK5,
inference(resolution,[],[f78,f84]) ).
fof(f84,plain,
! [X0] : r1(sK8(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( sK7(X0) = X0
& r3(X0,sK8(X0),sK7(X0))
& r1(sK8(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f21,f43,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK7(X0) = X0
& ? [X2] :
( r3(X0,X2,sK7(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK7(X0))
& r1(X2) )
=> ( r3(X0,sK8(X0),sK7(X0))
& r1(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,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(f78,plain,
! [X1] :
( ~ r1(X1)
| sK5 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1] :
( ( ~ r1(X1)
& sK5 != X1 )
| ( r1(X1)
& sK5 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f1,f37]) ).
fof(f37,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK5 != X1 )
| ( r1(X1)
& sK5 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f113,plain,
! [X0] : r3(X0,sK8(X0),X0),
inference(backward_demodulation,[],[f85,f86]) ).
fof(f86,plain,
! [X0] : sK7(X0) = X0,
inference(cnf_transformation,[],[f44]) ).
fof(f85,plain,
! [X0] : r3(X0,sK8(X0),sK7(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X3,X0,X1] :
( ~ r3(X1,X0,X3)
| sK0(X0,X1) = X3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X3] :
( ( ~ r3(X1,X0,X3)
& sK0(X0,X1) != X3 )
| ( sK0(X0,X1) = X3
& r3(X1,X0,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ r3(X1,X0,X3)
& X2 != X3 )
| ( X2 = X3
& r3(X1,X0,X3) ) )
=> ! [X3] :
( ( ~ r3(X1,X0,X3)
& sK0(X0,X1) != X3 )
| ( sK0(X0,X1) = X3
& r3(X1,X0,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,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(f174,plain,
! [X0,X1] : r2(sK0(X1,X0),sK9(X0,X1)),
inference(backward_demodulation,[],[f91,f168]) ).
fof(f168,plain,
! [X2,X1] : sK0(X1,X2) = sK10(X2,X1),
inference(resolution,[],[f65,f90]) ).
fof(f90,plain,
! [X0,X1] : r3(X0,X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( r2(sK10(X0,X1),sK9(X0,X1))
& r3(X0,X1,sK10(X0,X1))
& r3(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1))
& sK9(X0,X1) = sK11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f45,f49,f48,f47,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& X2 = X4 ) )
=> ( ? [X3] :
( r2(X3,sK9(X0,X1))
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& sK9(X0,X1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3] :
( r2(X3,sK9(X0,X1))
& r3(X0,X1,X3) )
=> ( r2(sK10(X0,X1),sK9(X0,X1))
& r3(X0,X1,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& sK9(X0,X1) = X4 )
=> ( ? [X5] :
( r3(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
& sK9(X0,X1) = sK11(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& X2 = X4 ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
? [X2] :
( ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) )
& ? [X3] :
( ? [X4] :
( r3(X1,X4,X3)
& r2(X0,X4) )
& X2 = X3 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) )
& X15 = X16 )
& ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f91,plain,
! [X0,X1] : r2(sK10(X0,X1),sK9(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f383,plain,
! [X23] : ~ r2(sK4(sK5),sK4(sK9(sK5,X23))),
inference(superposition,[],[f267,f241]) ).
fof(f241,plain,
! [X2,X1] : sK9(X2,sK4(X1)) = sK4(sK9(X2,X1)),
inference(superposition,[],[f173,f170]) ).
fof(f170,plain,
! [X6,X5] : sK0(sK4(X5),X6) = sK9(X6,X5),
inference(resolution,[],[f65,f146]) ).
fof(f146,plain,
! [X0,X1] : r3(X0,sK4(X1),sK9(X0,X1)),
inference(backward_demodulation,[],[f115,f143]) ).
fof(f143,plain,
! [X2,X1] : sK4(X1) = sK12(X2,X1),
inference(resolution,[],[f73,f88]) ).
fof(f88,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f115,plain,
! [X0,X1] : r3(X0,sK12(X0,X1),sK9(X0,X1)),
inference(backward_demodulation,[],[f89,f87]) ).
fof(f87,plain,
! [X0,X1] : sK9(X0,X1) = sK11(X0,X1),
inference(cnf_transformation,[],[f50]) ).
fof(f89,plain,
! [X0,X1] : r3(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f173,plain,
! [X0,X1] : sK4(sK0(X1,X0)) = sK9(X0,X1),
inference(backward_demodulation,[],[f158,f168]) ).
fof(f158,plain,
! [X0,X1] : sK9(X0,X1) = sK4(sK10(X0,X1)),
inference(resolution,[],[f91,f73]) ).
fof(f267,plain,
! [X0] : ~ r2(sK4(sK5),sK9(sK5,X0)),
inference(superposition,[],[f265,f170]) ).
fof(f265,plain,
! [X0] : ~ r2(sK4(sK5),sK0(X0,sK5)),
inference(superposition,[],[f262,f217]) ).
fof(f217,plain,
! [X0] : sK13(X0,sK5) = sK0(X0,sK5),
inference(resolution,[],[f200,f65]) ).
fof(f200,plain,
! [X0] : r3(sK5,X0,sK13(X0,sK5)),
inference(superposition,[],[f189,f182]) ).
fof(f182,plain,
! [X0] : sK6(X0,sK5) = sK5,
inference(resolution,[],[f80,f125]) ).
fof(f125,plain,
! [X0] : r4(X0,sK5,sK5),
inference(backward_demodulation,[],[f122,f117]) ).
fof(f117,plain,
! [X0] : sK1(X0) = sK5,
inference(resolution,[],[f78,f114]) ).
fof(f114,plain,
! [X0] : r1(sK1(X0)),
inference(forward_demodulation,[],[f69,f68]) ).
fof(f68,plain,
! [X0] : sK3(X0) = sK1(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( r1(sK2(X0))
& r4(X0,sK2(X0),sK1(X0))
& r1(sK3(X0))
& sK3(X0) = sK1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f30,f33,f32,f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) )
=> ( ? [X2] :
( r1(X2)
& r4(X0,X2,sK1(X0)) )
& ? [X3] :
( r1(X3)
& sK1(X0) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,sK1(X0)) )
=> ( r1(sK2(X0))
& r4(X0,sK2(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& sK1(X0) = X3 )
=> ( r1(sK3(X0))
& sK3(X0) = sK1(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0] :
? [X1] :
( ? [X3] :
( r1(X3)
& r4(X0,X3,X1) )
& ? [X2] :
( r1(X2)
& X1 = X2 ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( r1(X35)
& X33 = X35 )
& ? [X34] :
( r1(X34)
& r4(X32,X34,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f69,plain,
! [X0] : r1(sK3(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f122,plain,
! [X0] : r4(X0,sK5,sK1(X0)),
inference(backward_demodulation,[],[f70,f118]) ).
fof(f118,plain,
! [X1] : sK2(X1) = sK5,
inference(resolution,[],[f78,f71]) ).
fof(f71,plain,
! [X0] : r1(sK2(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f70,plain,
! [X0] : r4(X0,sK2(X0),sK1(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK6(X0,X1) = X3 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X3] :
( ( sK6(X0,X1) != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& sK6(X0,X1) = X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& X2 = X3 ) )
=> ! [X3] :
( ( sK6(X0,X1) != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& sK6(X0,X1) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& X2 = X3 ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X1,X0,X3) )
| ( r4(X1,X0,X3)
& X2 = X3 ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X10,X9] :
? [X11] :
! [X12] :
( ( X11 = X12
& r4(X9,X10,X12) )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f189,plain,
! [X0,X1] : r3(sK6(X0,X1),X0,sK13(X0,X1)),
inference(backward_demodulation,[],[f96,f183]) ).
fof(f183,plain,
! [X2,X1] : sK14(X1,X2) = sK6(X1,X2),
inference(resolution,[],[f80,f95]) ).
fof(f95,plain,
! [X0,X1] : r4(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( r3(sK14(X0,X1),X0,sK13(X0,X1))
& r4(X0,X1,sK14(X0,X1))
& sK13(X0,X1) = sK15(X0,X1)
& r2(X1,sK16(X0,X1))
& r4(X0,sK16(X0,X1),sK15(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f51,f55,f54,f53,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X3,X0,X2)
& r4(X0,X1,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X1,X5)
& r4(X0,X5,X4) ) ) )
=> ( ? [X3] :
( r3(X3,X0,sK13(X0,X1))
& r4(X0,X1,X3) )
& ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r2(X1,X5)
& r4(X0,X5,X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( r3(X3,X0,sK13(X0,X1))
& r4(X0,X1,X3) )
=> ( r3(sK14(X0,X1),X0,sK13(X0,X1))
& r4(X0,X1,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r2(X1,X5)
& r4(X0,X5,X4) ) )
=> ( sK13(X0,X1) = sK15(X0,X1)
& ? [X5] :
( r2(X1,X5)
& r4(X0,X5,sK15(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X5] :
( r2(X1,X5)
& r4(X0,X5,sK15(X0,X1)) )
=> ( r2(X1,sK16(X0,X1))
& r4(X0,sK16(X0,X1),sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X3,X0,X2)
& r4(X0,X1,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X1,X5)
& r4(X0,X5,X4) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) )
& ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X1,X4)
& r4(X0,X4,X3) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) )
& X21 = X22 )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f96,plain,
! [X0,X1] : r3(sK14(X0,X1),X0,sK13(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f262,plain,
! [X6,X5] : ~ r2(sK4(sK5),sK13(X5,X6)),
inference(superposition,[],[f148,f185]) ).
fof(f185,plain,
! [X6,X5] : sK13(X5,X6) = sK6(X5,sK4(X6)),
inference(resolution,[],[f80,f153]) ).
fof(f153,plain,
! [X0,X1] : r4(X0,sK4(X1),sK13(X0,X1)),
inference(backward_demodulation,[],[f112,f144]) ).
fof(f144,plain,
! [X3,X4] : sK16(X4,X3) = sK4(X3),
inference(resolution,[],[f73,f93]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f112,plain,
! [X0,X1] : r4(X0,sK16(X0,X1),sK13(X0,X1)),
inference(backward_demodulation,[],[f92,f94]) ).
fof(f94,plain,
! [X0,X1] : sK13(X0,X1) = sK15(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f92,plain,
! [X0,X1] : r4(X0,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f148,plain,
! [X4,X5] : ~ r2(sK4(sK5),sK6(X4,X5)),
inference(backward_demodulation,[],[f140,f143]) ).
fof(f140,plain,
! [X3,X4,X5] : ~ r2(sK12(X3,sK5),sK6(X4,X5)),
inference(resolution,[],[f110,f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r2(sK12(X3,sK5),X2) ),
inference(resolution,[],[f129,f108]) ).
fof(f108,plain,
r1(sK5),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X1] :
( sK5 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X1)
| ~ r4(X3,X4,X2)
| ~ r2(sK12(X0,X1),X2) ),
inference(resolution,[],[f88,f104]) ).
fof(f104,plain,
! [X2,X3,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r4(X2,X1,X3) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r4(X2,X1,X0)
| X0 != X3
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X5) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ r4(X2,X1,X0)
| ! [X3] :
( X0 != X3
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) ) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ~ r4(X1,X2,X0)
| ! [X3] :
( X0 != X3
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) ) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( X0 = X3
& ? [X4] :
( ? [X5] :
( r1(X5)
& r2(X5,X4) )
& r2(X4,X3) ) )
& r4(X1,X2,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X22,X38,X21] :
( r4(X38,X21,X22)
& ? [X15] :
( X15 = X22
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( r2(X24,X16)
& r1(X24) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X22,X38,X21] :
( r4(X38,X21,X22)
& ? [X15] :
( X15 = X22
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( r2(X24,X16)
& r1(X24) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xtimesyeqtwo) ).
fof(f110,plain,
! [X0,X1] : r4(X0,X1,sK6(X0,X1)),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X3,X0,X1] :
( sK6(X0,X1) != X3
| r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN084+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 : n021.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 09:46:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (23156)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.48 % (23146)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)
% 0.19/0.49 % (23142)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)
% 0.19/0.49 % (23137)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (23133)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)
% 0.19/0.50 % (23137)Instruction limit reached!
% 0.19/0.50 % (23137)------------------------------
% 0.19/0.50 % (23137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23137)Termination reason: Unknown
% 0.19/0.50 % (23137)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (23137)Memory used [KB]: 5500
% 0.19/0.50 % (23137)Time elapsed: 0.068 s
% 0.19/0.50 % (23137)Instructions burned: 8 (million)
% 0.19/0.50 % (23137)------------------------------
% 0.19/0.50 % (23137)------------------------------
% 0.19/0.51 % (23146)First to succeed.
% 0.19/0.51 % (23146)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (23146)------------------------------
% 0.19/0.51 % (23146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23146)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (23146)Memory used [KB]: 1151
% 0.19/0.51 % (23146)Time elapsed: 0.076 s
% 0.19/0.51 % (23146)Instructions burned: 15 (million)
% 0.19/0.51 % (23146)------------------------------
% 0.19/0.51 % (23146)------------------------------
% 0.19/0.51 % (23126)Success in time 0.165 s
%------------------------------------------------------------------------------