TSTP Solution File: NUN072+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN072+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 : n011.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 1.44s 0.59s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of formulae : 147 ( 56 unt; 0 def)
% Number of atoms : 450 ( 100 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 466 ( 163 ~; 122 |; 156 &)
% ( 8 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 349 ( 248 !; 101 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1002,plain,
$false,
inference(avatar_sat_refutation,[],[f979,f994,f997,f1001]) ).
fof(f1001,plain,
spl25_15,
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| spl25_15 ),
inference(subsumption_resolution,[],[f999,f106]) ).
fof(f106,plain,
r1(sK3),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X1] :
( sK3 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ( ~ r1(X1)
& sK3 != X1 )
| ( sK3 = X1
& r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f32]) ).
fof(f32,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( X0 = X1
& r1(X1) ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK3 != X1 )
| ( sK3 = 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(f999,plain,
( ~ r1(sK3)
| spl25_15 ),
inference(resolution,[],[f998,f146]) ).
fof(f146,plain,
! [X0] :
( sP23(sK16(X0))
| ~ r1(X0) ),
inference(resolution,[],[f119,f111]) ).
fof(f111,plain,
! [X0] : r2(X0,sK16(X0)),
inference(equality_resolution,[],[f92]) ).
fof(f92,plain,
! [X2,X0] :
( sK16(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X2] :
( ( sK16(X0) != X2
& ~ r2(X0,X2) )
| ( sK16(X0) = X2
& r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f24,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( X1 = X2
& r2(X0,X2) ) )
=> ! [X2] :
( ( sK16(X0) != X2
& ~ r2(X0,X2) )
| ( sK16(X0) = X2
& r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,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(f119,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| sP23(X5)
| ~ r1(X6) ),
inference(cnf_transformation,[],[f119_D]) ).
fof(f119_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) )
<=> ~ sP23(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f998,plain,
( ~ sP23(sK16(sK3))
| spl25_15 ),
inference(resolution,[],[f972,f149]) ).
fof(f149,plain,
! [X0] :
( sP24(sK16(X0))
| ~ sP23(X0) ),
inference(resolution,[],[f121,f111]) ).
fof(f121,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ sP23(X5)
| sP24(X4) ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ sP23(X5) )
<=> ~ sP24(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f972,plain,
( ~ sP24(sK16(sK16(sK3)))
| spl25_15 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl25_15
<=> sP24(sK16(sK16(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
fof(f997,plain,
spl25_4,
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f996,plain,
( $false
| spl25_4 ),
inference(subsumption_resolution,[],[f995,f106]) ).
fof(f995,plain,
( ~ r1(sK3)
| spl25_4 ),
inference(resolution,[],[f925,f143]) ).
fof(f143,plain,
! [X0] :
( sP22(sK16(X0))
| ~ r1(X0) ),
inference(resolution,[],[f117,f111]) ).
fof(f117,plain,
! [X8,X7] :
( ~ r2(X8,X7)
| sP22(X7)
| ~ r1(X8) ),
inference(cnf_transformation,[],[f117_D]) ).
fof(f117_D,plain,
! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) )
<=> ~ sP22(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f925,plain,
( ~ sP22(sK16(sK3))
| spl25_4 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f923,plain,
( spl25_4
<=> sP22(sK16(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f994,plain,
spl25_12,
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f993,plain,
( $false
| spl25_12 ),
inference(subsumption_resolution,[],[f992,f106]) ).
fof(f992,plain,
( ~ r1(sK3)
| spl25_12 ),
inference(resolution,[],[f991,f137]) ).
fof(f137,plain,
! [X0] :
( sP20(sK16(X0))
| ~ r1(X0) ),
inference(resolution,[],[f113,f111]) ).
fof(f113,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| ~ r1(X3)
| sP20(X2) ),
inference(cnf_transformation,[],[f113_D]) ).
fof(f113_D,plain,
! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
<=> ~ sP20(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f991,plain,
( ~ sP20(sK16(sK3))
| spl25_12 ),
inference(resolution,[],[f959,f140]) ).
fof(f140,plain,
! [X0] :
( sP21(sK16(X0))
| ~ sP20(X0) ),
inference(resolution,[],[f115,f111]) ).
fof(f115,plain,
! [X2,X1] :
( ~ r2(X2,X1)
| ~ sP20(X2)
| sP21(X1) ),
inference(cnf_transformation,[],[f115_D]) ).
fof(f115_D,plain,
! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ sP20(X2) )
<=> ~ sP21(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f959,plain,
( ~ sP21(sK16(sK16(sK3)))
| spl25_12 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f957,plain,
( spl25_12
<=> sP21(sK16(sK16(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f979,plain,
( ~ spl25_4
| ~ spl25_15
| ~ spl25_12 ),
inference(avatar_split_clause,[],[f909,f957,f970,f923]) ).
fof(f909,plain,
( ~ sP21(sK16(sK16(sK3)))
| ~ sP24(sK16(sK16(sK3)))
| ~ sP22(sK16(sK3)) ),
inference(resolution,[],[f122,f845]) ).
fof(f845,plain,
r4(sK16(sK3),sK16(sK16(sK3)),sK16(sK16(sK3))),
inference(superposition,[],[f186,f463]) ).
fof(f463,plain,
sK16(sK16(sK3)) = sK5(sK16(sK3),sK16(sK3)),
inference(forward_demodulation,[],[f452,f226]) ).
fof(f226,plain,
! [X0] : sK16(X0) = sK0(X0,sK16(sK3)),
inference(resolution,[],[f223,f60]) ).
fof(f60,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK0(X0,X1) = X3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X3] :
( ( r3(X0,X1,X3)
& sK0(X0,X1) = X3 )
| ( ~ r3(X0,X1,X3)
& sK0(X0,X1) != X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( r3(X0,X1,X3)
& X2 = X3 )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) )
=> ! [X3] :
( ( r3(X0,X1,X3)
& sK0(X0,X1) = X3 )
| ( ~ r3(X0,X1,X3)
& sK0(X0,X1) != X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( r3(X0,X1,X3)
& X2 = X3 )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( r3(X1,X0,X3)
& X2 = X3 )
| ( ~ r3(X1,X0,X3)
& X2 != 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(f223,plain,
! [X1] : r3(X1,sK16(sK3),sK16(X1)),
inference(superposition,[],[f187,f209]) ).
fof(f209,plain,
! [X0] : sK16(X0) = sK9(sK3,X0),
inference(resolution,[],[f208,f91]) ).
fof(f91,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK16(X0) = X2 ),
inference(cnf_transformation,[],[f53]) ).
fof(f208,plain,
! [X0] : r2(X0,sK9(sK3,X0)),
inference(superposition,[],[f195,f188]) ).
fof(f188,plain,
! [X0] : sK0(X0,sK3) = X0,
inference(resolution,[],[f60,f134]) ).
fof(f134,plain,
! [X0] : r3(X0,sK3,X0),
inference(forward_demodulation,[],[f133,f123]) ).
fof(f123,plain,
! [X0] : sK3 = sK2(X0),
inference(resolution,[],[f70,f64]) ).
fof(f64,plain,
! [X0] : r1(sK2(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( sK1(X0) = X0
& r1(sK2(X0))
& r3(X0,sK2(X0),sK1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f22,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) )
=> ( sK1(X0) = X0
& ? [X2] :
( r1(X2)
& r3(X0,X2,sK1(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK1(X0)) )
=> ( r1(sK2(X0))
& r3(X0,sK2(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r1(X2)
& r3(X0,X2,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(f70,plain,
! [X1] :
( ~ r1(X1)
| sK3 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f133,plain,
! [X0] : r3(X0,sK2(X0),X0),
inference(forward_demodulation,[],[f63,f65]) ).
fof(f65,plain,
! [X0] : sK1(X0) = X0,
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
! [X0] : r3(X0,sK2(X0),sK1(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f195,plain,
! [X0,X1] : r2(sK0(X1,X0),sK9(X0,X1)),
inference(backward_demodulation,[],[f84,f189]) ).
fof(f189,plain,
! [X2,X1] : sK10(X2,X1) = sK0(X1,X2),
inference(resolution,[],[f60,f83]) ).
fof(f83,plain,
! [X0,X1] : r3(X1,X0,sK10(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( r2(sK10(X0,X1),sK9(X0,X1))
& r3(X1,X0,sK10(X0,X1))
& sK11(X0,X1) = sK9(X0,X1)
& r2(X0,sK12(X0,X1))
& r3(X1,sK12(X0,X1),sK11(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f16,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) ) ) )
=> ( ? [X3] :
( r2(X3,sK9(X0,X1))
& r3(X1,X0,X3) )
& ? [X4] :
( sK9(X0,X1) = X4
& ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3] :
( r2(X3,sK9(X0,X1))
& r3(X1,X0,X3) )
=> ( r2(sK10(X0,X1),sK9(X0,X1))
& r3(X1,X0,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X4] :
( sK9(X0,X1) = X4
& ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) ) )
=> ( sK11(X0,X1) = sK9(X0,X1)
& ? [X5] :
( r2(X0,X5)
& r3(X1,X5,sK11(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,sK11(X0,X1)) )
=> ( r2(X0,sK12(X0,X1))
& r3(X1,sK12(X0,X1),sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f84,plain,
! [X0,X1] : r2(sK10(X0,X1),sK9(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f187,plain,
! [X0,X1] : r3(X1,sK16(X0),sK9(X0,X1)),
inference(forward_demodulation,[],[f100,f160]) ).
fof(f160,plain,
! [X3,X4] : sK16(X3) = sK12(X3,X4),
inference(resolution,[],[f91,f81]) ).
fof(f81,plain,
! [X0,X1] : r2(X0,sK12(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f100,plain,
! [X0,X1] : r3(X1,sK12(X0,X1),sK9(X0,X1)),
inference(definition_unfolding,[],[f80,f82]) ).
fof(f82,plain,
! [X0,X1] : sK11(X0,X1) = sK9(X0,X1),
inference(cnf_transformation,[],[f46]) ).
fof(f80,plain,
! [X0,X1] : r3(X1,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f452,plain,
sK5(sK16(sK3),sK16(sK3)) = sK0(sK16(sK3),sK16(sK3)),
inference(superposition,[],[f247,f260]) ).
fof(f260,plain,
sK4(sK16(sK3),sK16(sK3)) = sK16(sK3),
inference(resolution,[],[f256,f74]) ).
fof(f74,plain,
! [X3,X0,X1] :
( ~ r4(X1,X0,X3)
| sK4(X0,X1) = X3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X3] :
( ( ~ r4(X1,X0,X3)
& sK4(X0,X1) != X3 )
| ( sK4(X0,X1) = X3
& r4(X1,X0,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f34,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ r4(X1,X0,X3)
& X2 != X3 )
| ( X2 = X3
& r4(X1,X0,X3) ) )
=> ! [X3] :
( ( ~ r4(X1,X0,X3)
& sK4(X0,X1) != X3 )
| ( sK4(X0,X1) = X3
& r4(X1,X0,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ r4(X1,X0,X3)
& X2 != X3 )
| ( X2 = X3
& r4(X1,X0,X3) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( ~ r4(X0,X1,X3)
& X2 != X3 )
| ( X2 = X3
& r4(X0,X1,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(f256,plain,
r4(sK16(sK3),sK16(sK3),sK16(sK3)),
inference(superposition,[],[f252,f226]) ).
fof(f252,plain,
! [X1] : r4(X1,sK16(sK3),sK0(sK3,X1)),
inference(superposition,[],[f186,f249]) ).
fof(f249,plain,
! [X0] : sK0(sK3,X0) = sK5(sK3,X0),
inference(resolution,[],[f248,f60]) ).
fof(f248,plain,
! [X0] : r3(sK3,X0,sK5(sK3,X0)),
inference(superposition,[],[f245,f242]) ).
fof(f242,plain,
! [X4] : sK3 = sK4(sK3,X4),
inference(resolution,[],[f74,f136]) ).
fof(f136,plain,
! [X0] : r4(X0,sK3,sK3),
inference(forward_demodulation,[],[f135,f126]) ).
fof(f126,plain,
! [X2] : sK3 = sK14(X2),
inference(resolution,[],[f70,f88]) ).
fof(f88,plain,
! [X0] : r1(sK14(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( r1(sK14(X0))
& r4(X0,sK14(X0),sK13(X0))
& r1(sK15(X0))
& sK15(X0) = sK13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f21,f49,f48,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) )
=> ( ? [X2] :
( r1(X2)
& r4(X0,X2,sK13(X0)) )
& ? [X3] :
( r1(X3)
& sK13(X0) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,sK13(X0)) )
=> ( r1(sK14(X0))
& r4(X0,sK14(X0),sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& sK13(X0) = X3 )
=> ( r1(sK15(X0))
& sK15(X0) = sK13(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X34] :
( r4(X32,X34,X33)
& r1(X34) )
& ? [X35] :
( X33 = X35
& r1(X35) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f135,plain,
! [X0] : r4(X0,sK14(X0),sK3),
inference(forward_demodulation,[],[f87,f125]) ).
fof(f125,plain,
! [X1] : sK13(X1) = sK3,
inference(resolution,[],[f70,f101]) ).
fof(f101,plain,
! [X0] : r1(sK13(X0)),
inference(definition_unfolding,[],[f86,f85]) ).
fof(f85,plain,
! [X0] : sK15(X0) = sK13(X0),
inference(cnf_transformation,[],[f50]) ).
fof(f86,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f87,plain,
! [X0] : r4(X0,sK14(X0),sK13(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f245,plain,
! [X0,X1] : r3(sK4(X0,X1),X1,sK5(X0,X1)),
inference(backward_demodulation,[],[f76,f240]) ).
fof(f240,plain,
! [X0,X1] : sK8(X0,X1) = sK4(X0,X1),
inference(resolution,[],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] : r4(X1,X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( sK6(X0,X1) = sK5(X0,X1)
& r4(X1,sK7(X0,X1),sK6(X0,X1))
& r2(X0,sK7(X0,X1))
& r3(sK8(X0,X1),X1,sK5(X0,X1))
& r4(X1,X0,sK8(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f23,f40,f39,f38,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) ) )
=> ( ? [X3] :
( sK5(X0,X1) = X3
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r3(X5,X1,sK5(X0,X1))
& r4(X1,X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X3] :
( sK5(X0,X1) = X3
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
=> ( sK6(X0,X1) = sK5(X0,X1)
& ? [X4] :
( r4(X1,X4,sK6(X0,X1))
& r2(X0,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X4] :
( r4(X1,X4,sK6(X0,X1))
& r2(X0,X4) )
=> ( r4(X1,sK7(X0,X1),sK6(X0,X1))
& r2(X0,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X5] :
( r3(X5,X1,sK5(X0,X1))
& r4(X1,X0,X5) )
=> ( r3(sK8(X0,X1),X1,sK5(X0,X1))
& r4(X1,X0,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) ) )
& ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X20,X19] :
? [X21] :
( ? [X22] :
( ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) )
& X21 = X22 )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f76,plain,
! [X0,X1] : r3(sK8(X0,X1),X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f247,plain,
! [X0,X1] : sK5(X0,X1) = sK0(sK4(X0,X1),X1),
inference(resolution,[],[f245,f60]) ).
fof(f186,plain,
! [X0,X1] : r4(X1,sK16(X0),sK5(X0,X1)),
inference(forward_demodulation,[],[f99,f159]) ).
fof(f159,plain,
! [X2,X1] : sK7(X1,X2) = sK16(X1),
inference(resolution,[],[f91,f77]) ).
fof(f77,plain,
! [X0,X1] : r2(X0,sK7(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f99,plain,
! [X0,X1] : r4(X1,sK7(X0,X1),sK5(X0,X1)),
inference(definition_unfolding,[],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] : sK6(X0,X1) = sK5(X0,X1),
inference(cnf_transformation,[],[f41]) ).
fof(f78,plain,
! [X0,X1] : r4(X1,sK7(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f122,plain,
! [X1,X7,X4] :
( ~ r4(X7,X4,X1)
| ~ sP21(X1)
| ~ sP24(X4)
| ~ sP22(X7) ),
inference(general_splitting,[],[f120,f121_D]) ).
fof(f120,plain,
! [X1,X7,X4,X5] :
( ~ r2(X5,X4)
| ~ r4(X7,X4,X1)
| ~ sP21(X1)
| ~ sP22(X7)
| ~ sP23(X5) ),
inference(general_splitting,[],[f118,f119_D]) ).
fof(f118,plain,
! [X1,X6,X7,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r4(X7,X4,X1)
| ~ sP21(X1)
| ~ sP22(X7) ),
inference(general_splitting,[],[f116,f117_D]) ).
fof(f116,plain,
! [X1,X8,X6,X7,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r4(X7,X4,X1)
| ~ r2(X8,X7)
| ~ r1(X8)
| ~ sP21(X1) ),
inference(general_splitting,[],[f114,f115_D]) ).
fof(f114,plain,
! [X2,X1,X8,X6,X7,X4,X5] :
( ~ r2(X2,X1)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r4(X7,X4,X1)
| ~ r2(X8,X7)
| ~ r1(X8)
| ~ sP20(X2) ),
inference(general_splitting,[],[f112,f113_D]) ).
fof(f112,plain,
! [X2,X3,X1,X8,X6,X7,X4,X5] :
( ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r4(X7,X4,X1)
| ~ r2(X8,X7)
| ~ r1(X8) ),
inference(equality_resolution,[],[f94]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r1(X3)
| X0 != X1
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r4(X7,X4,X0)
| ~ r2(X8,X7)
| ~ r1(X8) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) ) )
| X0 != X1 )
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r1(X6)
| ~ r2(X6,X5) ) )
| ! [X7] :
( ~ r4(X7,X4,X0)
| ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) ) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) ) )
| X0 != X6 )
| ! [X1] :
( ! [X4] :
( ~ r2(X4,X1)
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) ) )
| ! [X2] :
( ~ r4(X2,X1,X0)
| ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) ) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ? [X0] :
( ? [X1] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X1) )
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& r4(X2,X1,X0) ) )
& ? [X6] :
( X0 = X6
& ? [X7] :
( ? [X8] :
( r1(X8)
& r2(X8,X7) )
& r2(X7,X6) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( ? [X16] :
( r4(X16,X21,X38)
& ? [X33] :
( r2(X33,X16)
& r1(X33) ) )
& ? [X15] :
( r2(X15,X21)
& ? [X18] :
( r2(X18,X15)
& r1(X18) ) ) )
& ? [X22] :
( ? [X24] :
( r2(X24,X22)
& ? [X30] :
( r1(X30)
& r2(X30,X24) ) )
& X22 = X38 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( ? [X16] :
( r4(X16,X21,X38)
& ? [X33] :
( r2(X33,X16)
& r1(X33) ) )
& ? [X15] :
( r2(X15,X21)
& ? [X18] :
( r2(X18,X15)
& r1(X18) ) ) )
& ? [X22] :
( ? [X24] :
( r2(X24,X22)
& ? [X30] :
( r1(X30)
& r2(X30,X24) ) )
& X22 = X38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onetimestwoeqtwo) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:44:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (13129)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 % (13141)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)
% 0.19/0.49 % (13133)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 % (13140)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)
% 0.19/0.50 % (13124)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 % (13137)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)
% 0.19/0.51 % (13124)Instruction limit reached!
% 0.19/0.51 % (13124)------------------------------
% 0.19/0.51 % (13124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (13124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (13124)Termination reason: Unknown
% 0.19/0.51 % (13124)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (13124)Memory used [KB]: 5500
% 0.19/0.51 % (13124)Time elapsed: 0.074 s
% 0.19/0.51 % (13124)Instructions burned: 7 (million)
% 0.19/0.51 % (13124)------------------------------
% 0.19/0.51 % (13124)------------------------------
% 0.19/0.51 % (13123)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)
% 0.19/0.51 % (13117)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)
% 0.19/0.51 % (13132)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)
% 1.30/0.52 % (13122)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)
% 1.30/0.52 % (13145)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)
% 1.30/0.52 % (13121)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53 % (13148)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)
% 1.30/0.53 % (13119)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)
% 1.30/0.53 TRYING [1]
% 1.30/0.53 TRYING [2]
% 1.30/0.53 TRYING [3]
% 1.30/0.53 % (13146)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)
% 1.30/0.53 % (13135)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.30/0.53 TRYING [4]
% 1.30/0.53 % (13136)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.53 % (13125)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.53 % (13134)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.53 TRYING [1]
% 1.44/0.53 TRYING [2]
% 1.44/0.53 % (13131)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.53 % (13120)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)
% 1.44/0.53 TRYING [3]
% 1.44/0.54 % (13138)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)
% 1.44/0.54 % (13128)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.54 % (13118)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)
% 1.44/0.54 TRYING [4]
% 1.44/0.54 % (13118)Refutation not found, incomplete strategy% (13118)------------------------------
% 1.44/0.54 % (13118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (13139)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.54 % (13130)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.54 % (13118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (13118)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.54
% 1.44/0.54 % (13118)Memory used [KB]: 5500
% 1.44/0.54 % (13118)Time elapsed: 0.144 s
% 1.44/0.54 % (13118)Instructions burned: 4 (million)
% 1.44/0.54 % (13118)------------------------------
% 1.44/0.54 % (13118)------------------------------
% 1.44/0.54 % (13142)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.55 % (13147)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.55 % (13143)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.44/0.55 % (13127)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)
% 1.44/0.55 % (13125)Instruction limit reached!
% 1.44/0.55 % (13125)------------------------------
% 1.44/0.55 % (13125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (13125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (13125)Termination reason: Unknown
% 1.44/0.55 % (13125)Termination phase: Preprocessing 3
% 1.44/0.55
% 1.44/0.55 % (13125)Memory used [KB]: 895
% 1.44/0.55 % (13125)Time elapsed: 0.003 s
% 1.44/0.55 % (13125)Instructions burned: 2 (million)
% 1.44/0.55 % (13125)------------------------------
% 1.44/0.55 % (13125)------------------------------
% 1.44/0.55 TRYING [1]
% 1.44/0.55 TRYING [2]
% 1.44/0.55 TRYING [3]
% 1.44/0.56 TRYING [4]
% 1.44/0.57 TRYING [5]
% 1.44/0.58 TRYING [5]
% 1.44/0.58 % (13123)Instruction limit reached!
% 1.44/0.58 % (13123)------------------------------
% 1.44/0.58 % (13123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (13123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (13123)Termination reason: Unknown
% 1.44/0.58 % (13123)Termination phase: Finite model building constraint generation
% 1.44/0.58
% 1.44/0.58 % (13123)Memory used [KB]: 7419
% 1.44/0.58 % (13123)Time elapsed: 0.181 s
% 1.44/0.58 % (13123)Instructions burned: 53 (million)
% 1.44/0.58 % (13123)------------------------------
% 1.44/0.58 % (13123)------------------------------
% 1.44/0.58 % (13122)First to succeed.
% 1.44/0.59 TRYING [5]
% 1.44/0.59 % (13122)Refutation found. Thanks to Tanya!
% 1.44/0.59 % SZS status Theorem for theBenchmark
% 1.44/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.59 % (13122)------------------------------
% 1.44/0.59 % (13122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (13122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (13122)Termination reason: Refutation
% 1.44/0.59
% 1.44/0.59 % (13122)Memory used [KB]: 5884
% 1.44/0.59 % (13122)Time elapsed: 0.190 s
% 1.44/0.59 % (13122)Instructions burned: 30 (million)
% 1.44/0.59 % (13122)------------------------------
% 1.44/0.59 % (13122)------------------------------
% 1.44/0.59 % (13115)Success in time 0.238 s
%------------------------------------------------------------------------------