TSTP Solution File: NUN056+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Sun May 5 08:44:59 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 112 ( 43 unt; 0 def)
% Number of atoms : 344 ( 64 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 396 ( 164 ~; 116 |; 101 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 313 ( 244 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7096,plain,
$false,
inference(subsumption_resolution,[],[f7084,f430]) ).
fof(f430,plain,
! [X0,X1] : ~ sP1(sK13(X0),X1,X0),
inference(unit_resulting_resolution,[],[f420,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ r2(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( X0 != X1
& ~ r2(X2,X0) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X2,X1,X0] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ~ sP1(X2,X1,X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ~ sP1(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f420,plain,
! [X0] : r2(X0,sK13(X0)),
inference(unit_resulting_resolution,[],[f116,f89]) ).
fof(f89,plain,
! [X2,X0] :
( sP1(X2,sK13(X0),X0)
| r2(X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X2] :
( ( sK13(X0) = X2
& r2(X0,X2) )
| sP1(X2,sK13(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f29,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| sP1(X2,X1,X0) )
=> ! [X2] :
( ( sK13(X0) = X2
& r2(X0,X2) )
| sP1(X2,sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| sP1(X2,X1,X0) ),
inference(definition_folding,[],[f18,f28]) ).
fof(f18,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) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f116,plain,
! [X2,X1] : ~ sP1(X1,X1,X2),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f7084,plain,
sP1(sK13(sK13(sK24)),sK13(sK13(sK24)),sK13(sK24)),
inference(superposition,[],[f4832,f7025]) ).
fof(f7025,plain,
! [X0] : sK13(X0) = sK19(X0,sK13(sK24)),
inference(superposition,[],[f6996,f6555]) ).
fof(f6555,plain,
! [X0,X1] : sK19(X0,X1) = sK23(X0,X1),
inference(unit_resulting_resolution,[],[f831,f110]) ).
fof(f110,plain,
! [X3,X0,X1] :
( sP3(X3,sK23(X0,X1),X1,X0)
| sK23(X0,X1) = X3 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X3] :
( ( sK23(X0,X1) = X3
& r3(X0,X1,X3) )
| sP3(X3,sK23(X0,X1),X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f33,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| sP3(X3,X2,X1,X0) )
=> ! [X3] :
( ( sK23(X0,X1) = X3
& r3(X0,X1,X3) )
| sP3(X3,sK23(X0,X1),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| sP3(X3,X2,X1,X0) ),
inference(definition_folding,[],[f24,f32]) ).
fof(f32,plain,
! [X3,X2,X1,X0] :
( ( X2 != X3
& ~ r3(X0,X1,X3) )
| ~ sP3(X3,X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f24,plain,
! [X0,X1] :
? [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) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f831,plain,
! [X2,X0,X1] : ~ sP3(sK19(X0,X1),X2,X1,X0),
inference(unit_resulting_resolution,[],[f102,f107]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ r3(X3,X2,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ( X0 != X1
& ~ r3(X3,X2,X0) )
| ~ sP3(X0,X1,X2,X3) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X3,X2,X1,X0] :
( ( X2 != X3
& ~ r3(X0,X1,X3) )
| ~ sP3(X3,X2,X1,X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1] : r3(X0,X1,sK19(X0,X1)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( r3(X0,X1,sK19(X0,X1))
& r2(sK19(X0,X1),sK18(X0,X1))
& sK18(X0,X1) = sK20(X0,X1)
& r3(X0,sK21(X0,X1),sK20(X0,X1))
& r2(X1,sK21(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f22,f61,f60,f59,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK18(X0,X1)) )
& ? [X4] :
( sK18(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK18(X0,X1)) )
=> ( r3(X0,X1,sK19(X0,X1))
& r2(sK19(X0,X1),sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X4] :
( sK18(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK18(X0,X1) = sK20(X0,X1)
& ? [X5] :
( r3(X0,X5,sK20(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK20(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK21(X0,X1),sK20(X0,X1))
& r2(X1,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f6996,plain,
! [X0] : sK13(X0) = sK23(X0,sK13(sK24)),
inference(unit_resulting_resolution,[],[f6920,f110]) ).
fof(f6920,plain,
! [X0,X1] : ~ sP3(sK13(X0),X1,sK13(sK24),X0),
inference(superposition,[],[f837,f6597]) ).
fof(f6597,plain,
! [X0] : sK13(X0) = sK18(X0,sK24),
inference(superposition,[],[f691,f6576]) ).
fof(f6576,plain,
! [X0] : sK19(X0,sK24) = X0,
inference(superposition,[],[f6555,f6549]) ).
fof(f6549,plain,
! [X0] : sK23(X0,sK24) = X0,
inference(unit_resulting_resolution,[],[f835,f110]) ).
fof(f835,plain,
! [X0,X1] : ~ sP3(X0,X1,sK24,X0),
inference(unit_resulting_resolution,[],[f190,f107]) ).
fof(f190,plain,
! [X0] : r3(X0,sK24,X0),
inference(superposition,[],[f135,f172]) ).
fof(f172,plain,
! [X0] : sK12(X0) = sK24,
inference(unit_resulting_resolution,[],[f139,f114]) ).
fof(f114,plain,
! [X1] :
( sP4(X1,sK24)
| sK24 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1] :
( ( sK24 = X1
& r1(X1) )
| sP4(X1,sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f35,f73]) ).
fof(f73,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| sP4(X1,X0) )
=> ! [X1] :
( ( sK24 = X1
& r1(X1) )
| sP4(X1,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| sP4(X1,X0) ),
inference(definition_folding,[],[f1,f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( X0 != X1
& ~ r1(X1) )
| ~ sP4(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f139,plain,
! [X0,X1] : ~ sP4(sK12(X0),X1),
inference(unit_resulting_resolution,[],[f84,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( X0 != X1
& ~ r1(X0) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ( X0 != X1
& ~ r1(X1) )
| ~ sP4(X1,X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f84,plain,
! [X0] : r1(sK12(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sK11(X0) = X0
& r3(X0,sK12(X0),sK11(X0))
& r1(sK12(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f17,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK11(X0) = X0
& ? [X2] :
( r3(X0,X2,sK11(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK11(X0))
& r1(X2) )
=> ( r3(X0,sK12(X0),sK11(X0))
& r1(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
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(f135,plain,
! [X0] : r3(X0,sK12(X0),X0),
inference(forward_demodulation,[],[f85,f86]) ).
fof(f86,plain,
! [X0] : sK11(X0) = X0,
inference(cnf_transformation,[],[f48]) ).
fof(f85,plain,
! [X0] : r3(X0,sK12(X0),sK11(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f691,plain,
! [X0,X1] : sK18(X0,X1) = sK13(sK19(X0,X1)),
inference(unit_resulting_resolution,[],[f397,f90]) ).
fof(f90,plain,
! [X2,X0] :
( sP1(X2,sK13(X0),X0)
| sK13(X0) = X2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f397,plain,
! [X2,X0,X1] : ~ sP1(sK18(X0,X1),X2,sK19(X0,X1)),
inference(unit_resulting_resolution,[],[f101,f87]) ).
fof(f101,plain,
! [X0,X1] : r2(sK19(X0,X1),sK18(X0,X1)),
inference(cnf_transformation,[],[f62]) ).
fof(f837,plain,
! [X2,X0,X1] : ~ sP3(sK18(X0,X1),X2,sK13(X1),X0),
inference(forward_demodulation,[],[f834,f689]) ).
fof(f689,plain,
! [X0,X1] : sK13(X0) = sK21(X1,X0),
inference(unit_resulting_resolution,[],[f396,f90]) ).
fof(f396,plain,
! [X2,X0,X1] : ~ sP1(sK21(X0,X1),X2,X1),
inference(unit_resulting_resolution,[],[f98,f87]) ).
fof(f98,plain,
! [X0,X1] : r2(X1,sK21(X0,X1)),
inference(cnf_transformation,[],[f62]) ).
fof(f834,plain,
! [X2,X0,X1] : ~ sP3(sK18(X0,X1),X2,sK21(X0,X1),X0),
inference(unit_resulting_resolution,[],[f137,f107]) ).
fof(f137,plain,
! [X0,X1] : r3(X0,sK21(X0,X1),sK18(X0,X1)),
inference(forward_demodulation,[],[f99,f100]) ).
fof(f100,plain,
! [X0,X1] : sK18(X0,X1) = sK20(X0,X1),
inference(cnf_transformation,[],[f62]) ).
fof(f99,plain,
! [X0,X1] : r3(X0,sK21(X0,X1),sK20(X0,X1)),
inference(cnf_transformation,[],[f62]) ).
fof(f4832,plain,
sP1(sK19(sK13(sK24),sK13(sK24)),sK13(sK13(sK24)),sK13(sK24)),
inference(unit_resulting_resolution,[],[f4679,f89]) ).
fof(f4679,plain,
~ r2(sK13(sK24),sK19(sK13(sK24),sK13(sK24))),
inference(unit_resulting_resolution,[],[f441,f4664,f128]) ).
fof(f128,plain,
! [X8,X7] :
( ~ r2(X8,X7)
| ~ sP27(X8)
| sP28(X7) ),
inference(cnf_transformation,[],[f128_D]) ).
fof(f128_D,plain,
! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ sP27(X8) )
<=> ~ sP28(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f4664,plain,
~ sP28(sK19(sK13(sK24),sK13(sK24))),
inference(unit_resulting_resolution,[],[f101,f1641,f130]) ).
fof(f130,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ sP28(X7)
| sP29(X6) ),
inference(cnf_transformation,[],[f130_D]) ).
fof(f130_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ sP28(X7) )
<=> ~ sP29(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1641,plain,
~ sP29(sK18(sK13(sK24),sK13(sK24))),
inference(unit_resulting_resolution,[],[f451,f471,f137,f133]) ).
fof(f133,plain,
! [X1,X6,X4] :
( ~ r3(X4,X1,X6)
| ~ sP26(X1)
| ~ sP29(X6)
| ~ sP30(X4) ),
inference(general_splitting,[],[f131,f132_D]) ).
fof(f132,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| sP30(X4) ),
inference(cnf_transformation,[],[f132_D]) ).
fof(f132_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
<=> ~ sP30(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f131,plain,
! [X1,X6,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X6)
| ~ sP26(X1)
| ~ sP29(X6) ),
inference(general_splitting,[],[f129,f130_D]) ).
fof(f129,plain,
! [X1,X6,X7,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X6)
| ~ r2(X7,X6)
| ~ sP26(X1)
| ~ sP28(X7) ),
inference(general_splitting,[],[f127,f128_D]) ).
fof(f127,plain,
! [X1,X8,X6,X7,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X6)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ sP26(X1)
| ~ sP27(X8) ),
inference(general_splitting,[],[f125,f126_D]) ).
fof(f126,plain,
! [X8,X9] :
( ~ r2(X9,X8)
| ~ r1(X9)
| sP27(X8) ),
inference(cnf_transformation,[],[f126_D]) ).
fof(f126_D,plain,
! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ~ r1(X9) )
<=> ~ sP27(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f125,plain,
! [X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X6)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ sP26(X1) ),
inference(general_splitting,[],[f123,f124_D]) ).
fof(f124,plain,
! [X2,X1] :
( ~ r2(X2,X1)
| ~ sP25(X2)
| sP26(X1) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ sP25(X2) )
<=> ~ sP26(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f123,plain,
! [X2,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X2,X1)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X6)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ sP25(X2) ),
inference(general_splitting,[],[f115,f122_D]) ).
fof(f122,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| ~ r1(X3)
| sP25(X2) ),
inference(cnf_transformation,[],[f122_D]) ).
fof(f122_D,plain,
! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
<=> ~ sP25(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f115,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X6)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7)
| ~ r2(X7,X6) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r3(X4,X1,X0)
| ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| X0 != X6 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
| ~ r2(X2,X1) )
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r3(X4,X1,X0) ) )
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ~ r1(X9) )
| ~ r2(X8,X7) )
| ~ r2(X7,X6) )
| X0 != X6 ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& r2(X2,X1) )
& ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r3(X4,X1,X0) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( r2(X9,X8)
& r1(X9) )
& r2(X8,X7) )
& r2(X7,X6) )
& X0 = X6 ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X15] :
( ? [X18] :
( ? [X41] :
( r2(X41,X18)
& r1(X41) )
& r2(X18,X15) )
& ? [X24] :
( ? [X30] :
( r2(X30,X24)
& r1(X30) )
& r3(X24,X15,X38) ) )
& ? [X21] :
( ? [X22] :
( ? [X16] :
( ? [X33] :
( r2(X33,X16)
& r1(X33) )
& r2(X16,X22) )
& r2(X22,X21) )
& X21 = X38 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X15] :
( ? [X18] :
( ? [X41] :
( r2(X41,X18)
& r1(X41) )
& r2(X18,X15) )
& ? [X24] :
( ? [X30] :
( r2(X30,X24)
& r1(X30) )
& r3(X24,X15,X38) ) )
& ? [X21] :
( ? [X22] :
( ? [X16] :
( ? [X33] :
( r2(X33,X16)
& r1(X33) )
& r2(X16,X22) )
& r2(X22,X21) )
& X21 = X38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneplustwoeqthree) ).
fof(f471,plain,
! [X0] : sP26(sK21(X0,sK13(sK24))),
inference(unit_resulting_resolution,[],[f98,f435,f124]) ).
fof(f435,plain,
sP25(sK13(sK24)),
inference(unit_resulting_resolution,[],[f141,f420,f122]) ).
fof(f141,plain,
r1(sK24),
inference(unit_resulting_resolution,[],[f121,f113]) ).
fof(f113,plain,
! [X1] :
( sP4(X1,sK24)
| r1(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f121,plain,
! [X1] : ~ sP4(X1,X1),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( X0 != X1
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f451,plain,
sP30(sK13(sK24)),
inference(unit_resulting_resolution,[],[f141,f420,f132]) ).
fof(f441,plain,
sP27(sK13(sK24)),
inference(unit_resulting_resolution,[],[f141,f420,f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:51:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21566)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (21575)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (21569)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (21571)WARNING: value z3 for option sas not known
% 0.22/0.39 % (21573)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (21572)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (21574)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (21571)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 % (21570)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [5]
% 0.22/0.44 TRYING [6]
% 0.22/0.45 TRYING [4]
% 0.22/0.47 % (21575)First to succeed.
% 0.22/0.47 % (21575)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21566"
% 0.22/0.47 % (21575)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (21575)------------------------------
% 0.22/0.47 % (21575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47 % (21575)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (21575)Memory used [KB]: 1585
% 0.22/0.47 % (21575)Time elapsed: 0.088 s
% 0.22/0.47 % (21575)Instructions burned: 184 (million)
% 0.22/0.47 % (21566)Success in time 0.109 s
%------------------------------------------------------------------------------