TSTP Solution File: NUN058+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN058+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 : n009.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 5.14s 1.12s
% Output : Refutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 39
% Syntax : Number of formulae : 216 ( 109 unt; 0 def)
% Number of atoms : 591 ( 129 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 632 ( 257 ~; 181 |; 168 &)
% ( 9 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 630 ( 509 !; 121 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45458,plain,
$false,
inference(subsumption_resolution,[],[f45457,f22275]) ).
fof(f22275,plain,
! [X0,X1] : ~ sP3(sK13(sK13(sK13(sK13(X0)))),X1,sK13(sK13(sK13(sK13(sK24)))),X0),
inference(superposition,[],[f12393,f13906]) ).
fof(f13906,plain,
! [X0] : sK18(X0,sK13(sK13(sK24))) = sK13(sK13(sK13(X0))),
inference(superposition,[],[f1352,f11673]) ).
fof(f11673,plain,
! [X0] : sK13(sK13(X0)) = sK19(X0,sK13(sK13(sK24))),
inference(unit_resulting_resolution,[],[f11592,f9546]) ).
fof(f9546,plain,
! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| sK19(X0,X1) = X2 ),
inference(forward_demodulation,[],[f9537,f9534]) ).
fof(f9534,plain,
! [X0,X1] : sK19(X0,X1) = sK23(X0,X1),
inference(unit_resulting_resolution,[],[f1762,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(f1762,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(f9537,plain,
! [X2,X0,X1] :
( sK23(X0,X1) = X2
| ~ r3(X0,X1,X2) ),
inference(resolution,[],[f110,f107]) ).
fof(f11592,plain,
! [X0] : r3(X0,sK13(sK13(sK24)),sK13(sK13(X0))),
inference(forward_demodulation,[],[f11566,f1350]) ).
fof(f1350,plain,
! [X0,X1] : sK13(X0) = sK21(X1,X0),
inference(unit_resulting_resolution,[],[f368,f90]) ).
fof(f90,plain,
! [X2,X0] :
( sP1(X2,sK13(X0),X0)
| sK13(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(f28,plain,
! [X2,X1,X0] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ~ sP1(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
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(f368,plain,
! [X2,X0,X1] : ~ sP1(sK21(X0,X1),X2,X1),
inference(unit_resulting_resolution,[],[f98,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(f98,plain,
! [X0,X1] : r2(X1,sK21(X0,X1)),
inference(cnf_transformation,[],[f62]) ).
fof(f11566,plain,
! [X0] : r3(X0,sK21(X0,sK13(sK24)),sK13(sK13(X0))),
inference(superposition,[],[f145,f10905]) ).
fof(f10905,plain,
! [X0] : sK18(X0,sK13(sK24)) = sK13(sK13(X0)),
inference(superposition,[],[f1352,f10091]) ).
fof(f10091,plain,
! [X0] : sK13(X0) = sK19(X0,sK13(sK24)),
inference(unit_resulting_resolution,[],[f10073,f9546]) ).
fof(f10073,plain,
! [X0] : r3(X0,sK13(sK24),sK13(X0)),
inference(forward_demodulation,[],[f10055,f1350]) ).
fof(f10055,plain,
! [X0] : r3(X0,sK21(X0,sK24),sK13(X0)),
inference(superposition,[],[f145,f9575]) ).
fof(f9575,plain,
! [X0] : sK13(X0) = sK18(X0,sK24),
inference(superposition,[],[f1352,f9553]) ).
fof(f9553,plain,
! [X0] : sK19(X0,sK24) = X0,
inference(superposition,[],[f9534,f9528]) ).
fof(f9528,plain,
! [X0] : sK23(X0,sK24) = X0,
inference(unit_resulting_resolution,[],[f1766,f110]) ).
fof(f1766,plain,
! [X0,X1] : ~ sP3(X0,X1,sK24,X0),
inference(unit_resulting_resolution,[],[f198,f107]) ).
fof(f198,plain,
! [X0] : r3(X0,sK24,X0),
inference(superposition,[],[f143,f180]) ).
fof(f180,plain,
! [X0] : sK12(X0) = sK24,
inference(unit_resulting_resolution,[],[f147,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(f147,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(f143,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(f145,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(f1352,plain,
! [X0,X1] : sK18(X0,X1) = sK13(sK19(X0,X1)),
inference(unit_resulting_resolution,[],[f369,f90]) ).
fof(f369,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(f12393,plain,
! [X2,X0,X1] : ~ sP3(sK13(sK18(X0,X1)),X2,sK13(sK13(X1)),X0),
inference(superposition,[],[f1768,f11356]) ).
fof(f11356,plain,
! [X0,X1] : sK13(sK18(X0,X1)) = sK18(X0,sK13(X1)),
inference(superposition,[],[f1352,f10020]) ).
fof(f10020,plain,
! [X0,X1] : sK18(X0,X1) = sK19(X0,sK13(X1)),
inference(forward_demodulation,[],[f10003,f1350]) ).
fof(f10003,plain,
! [X0,X1] : sK18(X0,X1) = sK19(X0,sK21(X0,X1)),
inference(unit_resulting_resolution,[],[f145,f9546]) ).
fof(f1768,plain,
! [X2,X0,X1] : ~ sP3(sK18(X0,X1),X2,sK13(X1),X0),
inference(forward_demodulation,[],[f1765,f1350]) ).
fof(f1765,plain,
! [X2,X0,X1] : ~ sP3(sK18(X0,X1),X2,sK21(X0,X1),X0),
inference(unit_resulting_resolution,[],[f145,f107]) ).
fof(f45457,plain,
sP3(sK13(sK13(sK13(sK13(sK24)))),sK13(sK13(sK13(sK13(sK24)))),sK13(sK13(sK13(sK13(sK24)))),sK24),
inference(forward_demodulation,[],[f45456,f16127]) ).
fof(f16127,plain,
sK13(sK13(sK13(sK13(sK24)))) = sK14(sK13(sK13(sK24)),sK13(sK24)),
inference(forward_demodulation,[],[f16097,f13241]) ).
fof(f13241,plain,
! [X0] : sK13(sK13(X0)) = sK23(X0,sK13(sK13(sK24))),
inference(unit_resulting_resolution,[],[f11577,f110]) ).
fof(f11577,plain,
! [X0,X1] : ~ sP3(sK13(sK13(X0)),X1,sK13(sK13(sK24)),X0),
inference(superposition,[],[f1768,f10905]) ).
fof(f16097,plain,
sK14(sK13(sK13(sK24)),sK13(sK24)) = sK23(sK13(sK13(sK24)),sK13(sK13(sK24))),
inference(superposition,[],[f9530,f13893]) ).
fof(f13893,plain,
sK13(sK13(sK24)) = sK14(sK13(sK13(sK24)),sK24),
inference(superposition,[],[f11673,f10007]) ).
fof(f10007,plain,
! [X0] : sK14(X0,sK24) = sK19(sK24,X0),
inference(unit_resulting_resolution,[],[f7351,f9546]) ).
fof(f7351,plain,
! [X0] : r3(sK24,X0,sK14(X0,sK24)),
inference(superposition,[],[f96,f7337]) ).
fof(f7337,plain,
! [X0] : sK24 = sK15(X0,sK24),
inference(superposition,[],[f6994,f6993]) ).
fof(f6993,plain,
! [X0] : sK24 = sK22(X0,sK24),
inference(unit_resulting_resolution,[],[f1757,f106]) ).
fof(f106,plain,
! [X3,X0,X1] :
( sP2(X3,sK22(X0,X1),X1,X0)
| sK22(X0,X1) = X3 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X3] :
( ( sK22(X0,X1) = X3
& r4(X0,X1,X3) )
| sP2(X3,sK22(X0,X1),X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f31,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| sP2(X3,X2,X1,X0) )
=> ! [X3] :
( ( sK22(X0,X1) = X3
& r4(X0,X1,X3) )
| sP2(X3,sK22(X0,X1),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| sP2(X3,X2,X1,X0) ),
inference(definition_folding,[],[f23,f30]) ).
fof(f30,plain,
! [X3,X2,X1,X0] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ~ sP2(X3,X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( X11 = X12
& r4(X9,X10,X12) )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f1757,plain,
! [X0,X1] : ~ sP2(sK24,X0,sK24,X1),
inference(unit_resulting_resolution,[],[f192,f103]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| ~ r4(X3,X2,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ( X0 != X1
& ~ r4(X3,X2,X0) )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X3,X2,X1,X0] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ~ sP2(X3,X2,X1,X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f192,plain,
! [X0] : r4(X0,sK24,sK24),
inference(forward_demodulation,[],[f188,f179]) ).
fof(f179,plain,
! [X0] : sK10(X0) = sK24,
inference(unit_resulting_resolution,[],[f146,f114]) ).
fof(f146,plain,
! [X0,X1] : ~ sP4(sK10(X0),X1),
inference(unit_resulting_resolution,[],[f80,f111]) ).
fof(f80,plain,
! [X0] : r1(sK10(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( sK8(X0) = sK9(X0)
& r1(sK9(X0))
& r4(X0,sK10(X0),sK8(X0))
& r1(sK10(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f16,f44,f43,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK8(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK8(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X2] :
( sK8(X0) = X2
& r1(X2) )
=> ( sK8(X0) = sK9(X0)
& r1(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK8(X0))
& r1(X3) )
=> ( r4(X0,sK10(X0),sK8(X0))
& r1(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
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(f188,plain,
! [X0] : r4(X0,sK10(X0),sK24),
inference(superposition,[],[f81,f178]) ).
fof(f178,plain,
! [X0] : sK8(X0) = sK24,
inference(unit_resulting_resolution,[],[f148,f114]) ).
fof(f148,plain,
! [X0,X1] : ~ sP4(sK8(X0),X1),
inference(unit_resulting_resolution,[],[f142,f111]) ).
fof(f142,plain,
! [X0] : r1(sK8(X0)),
inference(forward_demodulation,[],[f82,f83]) ).
fof(f83,plain,
! [X0] : sK8(X0) = sK9(X0),
inference(cnf_transformation,[],[f45]) ).
fof(f82,plain,
! [X0] : r1(sK9(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f81,plain,
! [X0] : r4(X0,sK10(X0),sK8(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f6994,plain,
! [X0,X1] : sK15(X0,X1) = sK22(X0,X1),
inference(unit_resulting_resolution,[],[f1753,f106]) ).
fof(f1753,plain,
! [X2,X0,X1] : ~ sP2(sK15(X0,X1),X2,X1,X0),
inference(unit_resulting_resolution,[],[f97,f103]) ).
fof(f97,plain,
! [X0,X1] : r4(X0,X1,sK15(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( r4(X0,X1,sK15(X0,X1))
& r3(sK15(X0,X1),X0,sK14(X0,X1))
& sK14(X0,X1) = sK16(X0,X1)
& r4(X0,sK17(X0,X1),sK16(X0,X1))
& r2(X1,sK17(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f21,f56,f55,f54,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK14(X0,X1)) )
& ? [X4] :
( sK14(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK14(X0,X1)) )
=> ( r4(X0,X1,sK15(X0,X1))
& r3(sK15(X0,X1),X0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X4] :
( sK14(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK14(X0,X1) = sK16(X0,X1)
& ? [X5] :
( r4(X0,X5,sK16(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK16(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK17(X0,X1),sK16(X0,X1))
& r2(X1,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f96,plain,
! [X0,X1] : r3(sK15(X0,X1),X0,sK14(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f9530,plain,
! [X0,X1] : sK14(X0,sK13(X1)) = sK23(sK14(X0,X1),X0),
inference(unit_resulting_resolution,[],[f8278,f110]) ).
fof(f8278,plain,
! [X2,X0,X1] : ~ sP3(sK14(X0,sK13(X1)),X2,X0,sK14(X0,X1)),
inference(superposition,[],[f1767,f8260]) ).
fof(f8260,plain,
! [X0,X1] : sK14(X0,X1) = sK15(X0,sK13(X1)),
inference(superposition,[],[f6995,f6994]) ).
fof(f6995,plain,
! [X0,X1] : sK14(X0,X1) = sK22(X0,sK13(X1)),
inference(unit_resulting_resolution,[],[f1758,f106]) ).
fof(f1758,plain,
! [X2,X0,X1] : ~ sP2(sK14(X0,X1),X2,sK13(X1),X0),
inference(forward_demodulation,[],[f1756,f1349]) ).
fof(f1349,plain,
! [X0,X1] : sK13(X0) = sK17(X1,X0),
inference(unit_resulting_resolution,[],[f367,f90]) ).
fof(f367,plain,
! [X2,X0,X1] : ~ sP1(sK17(X0,X1),X2,X1),
inference(unit_resulting_resolution,[],[f93,f87]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK17(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f1756,plain,
! [X2,X0,X1] : ~ sP2(sK14(X0,X1),X2,sK17(X0,X1),X0),
inference(unit_resulting_resolution,[],[f144,f103]) ).
fof(f144,plain,
! [X0,X1] : r4(X0,sK17(X0,X1),sK14(X0,X1)),
inference(forward_demodulation,[],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] : sK14(X0,X1) = sK16(X0,X1),
inference(cnf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0,X1] : r4(X0,sK17(X0,X1),sK16(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f1767,plain,
! [X2,X0,X1] : ~ sP3(sK14(X0,X1),X2,X0,sK15(X0,X1)),
inference(unit_resulting_resolution,[],[f96,f107]) ).
fof(f45456,plain,
sP3(sK14(sK13(sK13(sK24)),sK13(sK24)),sK13(sK13(sK13(sK13(sK24)))),sK13(sK13(sK13(sK13(sK24)))),sK24),
inference(forward_demodulation,[],[f45455,f10905]) ).
fof(f45455,plain,
sP3(sK14(sK13(sK13(sK24)),sK13(sK24)),sK13(sK13(sK18(sK24,sK13(sK24)))),sK13(sK13(sK13(sK13(sK24)))),sK24),
inference(forward_demodulation,[],[f45454,f11356]) ).
fof(f45454,plain,
sP3(sK14(sK13(sK13(sK24)),sK13(sK24)),sK13(sK18(sK24,sK13(sK13(sK24)))),sK13(sK13(sK13(sK13(sK24)))),sK24),
inference(forward_demodulation,[],[f45453,f11356]) ).
fof(f45453,plain,
sP3(sK14(sK13(sK13(sK24)),sK13(sK24)),sK18(sK24,sK13(sK13(sK13(sK24)))),sK13(sK13(sK13(sK13(sK24)))),sK24),
inference(forward_demodulation,[],[f45452,f11291]) ).
fof(f11291,plain,
! [X0] : sK18(sK24,X0) = sK14(sK13(X0),sK24),
inference(superposition,[],[f9532,f9531]) ).
fof(f9531,plain,
! [X0] : sK14(X0,sK24) = sK23(sK24,X0),
inference(unit_resulting_resolution,[],[f7348,f110]) ).
fof(f7348,plain,
! [X0,X1] : ~ sP3(sK14(X0,sK24),X1,X0,sK24),
inference(superposition,[],[f1767,f7337]) ).
fof(f9532,plain,
! [X0,X1] : sK18(X0,X1) = sK23(X0,sK13(X1)),
inference(unit_resulting_resolution,[],[f1768,f110]) ).
fof(f45452,plain,
sP3(sK14(sK13(sK13(sK24)),sK13(sK24)),sK14(sK13(sK13(sK13(sK13(sK24)))),sK24),sK13(sK13(sK13(sK13(sK24)))),sK24),
inference(unit_resulting_resolution,[],[f14675,f10378]) ).
fof(f10378,plain,
! [X0,X1] :
( sP3(X1,sK14(X0,sK24),X0,sK24)
| r3(sK24,X0,X1) ),
inference(superposition,[],[f109,f9531]) ).
fof(f109,plain,
! [X3,X0,X1] :
( sP3(X3,sK23(X0,X1),X1,X0)
| r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f14675,plain,
! [X0] : ~ r3(X0,sK13(sK13(sK13(sK13(sK24)))),sK14(sK13(sK13(sK24)),sK13(sK24))),
inference(forward_demodulation,[],[f14674,f1350]) ).
fof(f14674,plain,
! [X0,X4] : ~ r3(X0,sK13(sK13(sK13(sK21(X4,sK24)))),sK14(sK13(sK13(sK24)),sK13(sK24))),
inference(forward_demodulation,[],[f14673,f1350]) ).
fof(f14673,plain,
! [X3,X0,X4] : ~ r3(X0,sK13(sK13(sK21(X3,sK21(X4,sK24)))),sK14(sK13(sK13(sK24)),sK13(sK24))),
inference(forward_demodulation,[],[f14672,f1350]) ).
fof(f14672,plain,
! [X2,X3,X0,X4] : ~ r3(X0,sK13(sK21(X2,sK21(X3,sK21(X4,sK24)))),sK14(sK13(sK13(sK24)),sK13(sK24))),
inference(forward_demodulation,[],[f14665,f1350]) ).
fof(f14665,plain,
! [X2,X3,X0,X1,X4] : ~ r3(X0,sK21(X1,sK21(X2,sK21(X3,sK21(X4,sK24)))),sK14(sK13(sK13(sK24)),sK13(sK24))),
inference(unit_resulting_resolution,[],[f431,f14582,f136]) ).
fof(f136,plain,
! [X3,X11,X1] :
( ~ r3(X1,X3,X11)
| ~ sP29(X3)
| sP31(X11,X1) ),
inference(cnf_transformation,[],[f136_D]) ).
fof(f136_D,plain,
! [X1,X11] :
( ! [X3] :
( ~ r3(X1,X3,X11)
| ~ sP29(X3) )
<=> ~ sP31(X11,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f14582,plain,
! [X0] : ~ sP31(sK14(sK13(sK13(sK24)),sK13(sK24)),X0),
inference(unit_resulting_resolution,[],[f14580,f138]) ).
fof(f138,plain,
! [X11,X1] :
( ~ sP31(X11,X1)
| sP32(X11) ),
inference(cnf_transformation,[],[f138_D]) ).
fof(f138_D,plain,
! [X11] :
( ! [X1] : ~ sP31(X11,X1)
<=> ~ sP32(X11) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).
fof(f14580,plain,
~ sP32(sK14(sK13(sK13(sK24)),sK13(sK24))),
inference(unit_resulting_resolution,[],[f498,f1359,f12158,f141]) ).
fof(f141,plain,
! [X11,X8,X12] :
( ~ r4(X12,X8,X11)
| ~ sP30(X12)
| ~ sP32(X11)
| ~ sP33(X11,X8) ),
inference(general_splitting,[],[f139,f140_D]) ).
fof(f140,plain,
! [X11,X8,X9] :
( ~ r3(X8,X9,X11)
| sP33(X11,X8) ),
inference(cnf_transformation,[],[f140_D]) ).
fof(f140_D,plain,
! [X8,X11] :
( ! [X9] : ~ r3(X8,X9,X11)
<=> ~ sP33(X11,X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f139,plain,
! [X11,X8,X9,X12] :
( ~ r3(X8,X9,X11)
| ~ r4(X12,X8,X11)
| ~ sP30(X12)
| ~ sP32(X11) ),
inference(general_splitting,[],[f137,f138_D]) ).
fof(f137,plain,
! [X11,X1,X8,X9,X12] :
( ~ r3(X8,X9,X11)
| ~ r4(X12,X8,X11)
| ~ sP30(X12)
| ~ sP31(X11,X1) ),
inference(general_splitting,[],[f135,f136_D]) ).
fof(f135,plain,
! [X3,X11,X1,X8,X9,X12] :
( ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r4(X12,X8,X11)
| ~ sP29(X3)
| ~ sP30(X12) ),
inference(general_splitting,[],[f133,f134_D]) ).
fof(f134,plain,
! [X12,X13] :
( ~ r2(X13,X12)
| ~ sP27(X13)
| sP30(X12) ),
inference(cnf_transformation,[],[f134_D]) ).
fof(f134_D,plain,
! [X12] :
( ! [X13] :
( ~ r2(X13,X12)
| ~ sP27(X13) )
<=> ~ sP30(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f133,plain,
! [X3,X11,X1,X8,X9,X12,X13] :
( ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11)
| ~ sP27(X13)
| ~ sP29(X3) ),
inference(general_splitting,[],[f131,f132_D]) ).
fof(f132,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP28(X4)
| sP29(X3) ),
inference(cnf_transformation,[],[f132_D]) ).
fof(f132_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ sP28(X4) )
<=> ~ sP29(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f131,plain,
! [X3,X11,X1,X8,X9,X4,X12,X13] :
( ~ r2(X4,X3)
| ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11)
| ~ sP27(X13)
| ~ sP28(X4) ),
inference(general_splitting,[],[f129,f130_D]) ).
fof(f130,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ sP26(X5)
| sP28(X4) ),
inference(cnf_transformation,[],[f130_D]) ).
fof(f130_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ sP26(X5) )
<=> ~ sP28(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f129,plain,
! [X3,X11,X1,X8,X9,X4,X5,X12,X13] :
( ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11)
| ~ sP26(X5)
| ~ sP27(X13) ),
inference(general_splitting,[],[f127,f128_D]) ).
fof(f128,plain,
! [X14,X13] :
( ~ r2(X14,X13)
| ~ r1(X14)
| sP27(X13) ),
inference(cnf_transformation,[],[f128_D]) ).
fof(f128_D,plain,
! [X13] :
( ! [X14] :
( ~ r2(X14,X13)
| ~ r1(X14) )
<=> ~ sP27(X13) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f127,plain,
! [X3,X11,X1,X8,X9,X14,X4,X5,X12,X13] :
( ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r2(X14,X13)
| ~ r1(X14)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11)
| ~ sP26(X5) ),
inference(general_splitting,[],[f125,f126_D]) ).
fof(f126,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| ~ sP25(X6)
| sP26(X5) ),
inference(cnf_transformation,[],[f126_D]) ).
fof(f126_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ sP25(X6) )
<=> ~ sP26(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f125,plain,
! [X3,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] :
( ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r2(X14,X13)
| ~ r1(X14)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11)
| ~ sP25(X6) ),
inference(general_splitting,[],[f117,f124_D]) ).
fof(f124,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ r1(X7)
| sP25(X6) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
<=> ~ sP25(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f117,plain,
! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X11)
| ~ r3(X8,X9,X11)
| ~ r2(X14,X13)
| ~ r1(X14)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,plain,
! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X10)
| ~ r3(X8,X9,X10)
| X10 != X11
| ~ r2(X14,X13)
| ~ r1(X14)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| X2 != X10
| ~ r3(X8,X9,X10)
| X2 != X11
| ~ r2(X14,X13)
| ~ r1(X14)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| X0 != X2
| X0 != X10
| ~ r3(X8,X9,X10)
| X0 != X11
| ~ r2(X14,X13)
| ~ r1(X14)
| ~ r2(X13,X12)
| ~ r4(X12,X8,X11) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ r3(X1,X3,X2) )
| X0 != X2 )
| ! [X8,X9] :
( ! [X10] :
( X0 != X10
| ~ r3(X8,X9,X10) )
| ! [X11] :
( X0 != X11
| ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ r2(X14,X13)
| ~ r1(X14) )
| ~ r2(X13,X12) )
| ~ r4(X12,X8,X11) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r2(X5,X4) )
& r2(X4,X3) )
& r3(X1,X3,X2) )
& X0 = X2 )
& ? [X8,X9] :
( ? [X10] :
( X0 = X10
& r3(X8,X9,X10) )
& ? [X11] :
( X0 = X11
& ? [X12] :
( ? [X13] :
( ? [X14] :
( r2(X14,X13)
& r1(X14) )
& r2(X13,X12) )
& r4(X12,X8,X11) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22,X16] :
( ? [X18] :
( ? [X30] :
( ? [X39] :
( ? [X28] :
( ? [X17] :
( r2(X17,X28)
& r1(X17) )
& r2(X28,X39) )
& r2(X39,X30) )
& r2(X30,X18) )
& r3(X22,X18,X16) )
& X16 = X38 )
& ? [X21,X15] :
( ? [X33] :
( X33 = X38
& r3(X21,X15,X33) )
& ? [X24] :
( X24 = X38
& ? [X41] :
( ? [X27] :
( ? [X23] :
( r2(X23,X27)
& r1(X23) )
& r2(X27,X41) )
& r4(X41,X21,X24) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X22,X16] :
( ? [X18] :
( ? [X30] :
( ? [X39] :
( ? [X28] :
( ? [X17] :
( r2(X17,X28)
& r1(X17) )
& r2(X28,X39) )
& r2(X39,X30) )
& r2(X30,X18) )
& r3(X22,X18,X16) )
& X16 = X38 )
& ? [X21,X15] :
( ? [X33] :
( X33 = X38
& r3(X21,X15,X33) )
& ? [X24] :
( X24 = X38
& ? [X41] :
( ? [X27] :
( ? [X23] :
( r2(X23,X27)
& r1(X23) )
& r2(X27,X41) )
& r4(X41,X21,X24) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evengreq4) ).
fof(f12158,plain,
sP33(sK14(sK13(sK13(sK24)),sK13(sK24)),sK13(sK13(sK24))),
inference(superposition,[],[f11524,f10905]) ).
fof(f11524,plain,
! [X0] : sP33(sK14(sK13(X0),sK13(sK24)),sK18(sK24,X0)),
inference(superposition,[],[f8280,f11291]) ).
fof(f8280,plain,
! [X0,X1] : sP33(sK14(X0,sK13(X1)),sK14(X0,X1)),
inference(superposition,[],[f628,f8260]) ).
fof(f628,plain,
! [X0,X1] : sP33(sK14(X0,X1),sK15(X0,X1)),
inference(unit_resulting_resolution,[],[f96,f140]) ).
fof(f1359,plain,
! [X0,X1] : r4(X0,sK13(X1),sK14(X0,X1)),
inference(superposition,[],[f144,f1349]) ).
fof(f498,plain,
sP30(sK13(sK13(sK24))),
inference(unit_resulting_resolution,[],[f438,f459,f134]) ).
fof(f459,plain,
sP27(sK13(sK24)),
inference(unit_resulting_resolution,[],[f149,f438,f128]) ).
fof(f149,plain,
r1(sK24),
inference(unit_resulting_resolution,[],[f123,f113]) ).
fof(f113,plain,
! [X1] :
( sP4(X1,sK24)
| r1(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f123,plain,
! [X1] : ~ sP4(X1,X1),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( X0 != X1
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f438,plain,
! [X0] : r2(X0,sK13(X0)),
inference(unit_resulting_resolution,[],[f118,f89]) ).
fof(f89,plain,
! [X2,X0] :
( sP1(X2,sK13(X0),X0)
| r2(X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f118,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(f431,plain,
! [X2,X3,X0,X1] : sP29(sK21(X0,sK21(X1,sK21(X2,sK21(X3,sK24))))),
inference(unit_resulting_resolution,[],[f98,f319,f132]) ).
fof(f319,plain,
! [X2,X0,X1] : sP28(sK21(X0,sK21(X1,sK21(X2,sK24)))),
inference(unit_resulting_resolution,[],[f257,f98,f130]) ).
fof(f257,plain,
! [X0,X1] : sP26(sK21(X0,sK21(X1,sK24))),
inference(unit_resulting_resolution,[],[f217,f98,f126]) ).
fof(f217,plain,
! [X0] : sP25(sK21(X0,sK24)),
inference(unit_resulting_resolution,[],[f149,f98,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN058+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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 18:52:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (4411)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4414)WARNING: value z3 for option sas not known
% 0.13/0.37 % (4414)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)
% 0.13/0.37 % (4413)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (4418)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)
% 0.13/0.37 % (4415)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (4417)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)
% 0.13/0.37 % (4416)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)
% 0.13/0.37 % (4412)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [1]
% 0.19/0.38 TRYING [2]
% 0.19/0.39 TRYING [5]
% 0.19/0.39 TRYING [3]
% 0.19/0.41 TRYING [6]
% 0.19/0.43 TRYING [4]
% 0.19/0.46 TRYING [7]
% 0.19/0.47 TRYING [5]
% 1.29/0.54 TRYING [8]
% 2.03/0.66 TRYING [6]
% 2.35/0.69 TRYING [9]
% 3.56/0.90 TRYING [10]
% 5.14/1.11 % (4418)First to succeed.
% 5.14/1.11 % (4418)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4411"
% 5.14/1.12 % (4418)Refutation found. Thanks to Tanya!
% 5.14/1.12 % SZS status Theorem for theBenchmark
% 5.14/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 5.14/1.12 % (4418)------------------------------
% 5.14/1.12 % (4418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.14/1.12 % (4418)Termination reason: Refutation
% 5.14/1.12
% 5.14/1.12 % (4418)Memory used [KB]: 6572
% 5.14/1.12 % (4418)Time elapsed: 0.741 s
% 5.14/1.12 % (4418)Instructions burned: 1605 (million)
% 5.14/1.12 % (4411)Success in time 0.749 s
%------------------------------------------------------------------------------