%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN057+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:26:40 PM UTC 2026
% Result : Theorem 17.79s 3.49s
% Output : Refutation 19.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 87
% Syntax : Number of formulae : 455 ( 111 unt; 76 def)
% Number of atoms : 1215 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1434 ( 674 ~; 638 |; 46 &)
% ( 76 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 81 ( 80 usr; 64 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 572 ( 0 sgn 545 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( id(X3,X2)
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ~ id(X0,X2)
| ~ id(X1,X3)
| ( ~ r2(X0,X1)
& ~ r2(X2,X3) )
| ( r2(X0,X1)
& r2(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ( ~ r3(X0,X1,X2)
& ~ r3(X3,X4,X5) )
| ( r3(X0,X1,X2)
& r3(X3,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f19,conjecture,
? [X0] :
( ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ) ) )
& ? [X6] :
( r3(X6,X6,X0)
& ? [X7] :
( r2(X7,X6)
& ? [X8] :
( r1(X8)
& r2(X8,X7) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',twoplustwoidfour) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ) ) )
& ? [X6] :
( r3(X6,X6,X0)
& ? [X7] :
( r2(X7,X6)
& ? [X8] :
( r1(X8)
& r2(X8,X7) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) ) ) ) ) )
| ! [X6] :
( ~ r3(X6,X6,X0)
| ! [X7] :
( ~ r2(X7,X6)
| ! [X8] :
( ~ r1(X8)
| ~ r2(X8,X7) ) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X1] :
( ( id(X1,sK0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f23,plain,
! [X0,X2] :
( ( id(X2,sK1(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).
fof(f24,plain,
! [X0,X1,X3] :
( ( id(X3,sK2(X0,X1))
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,sK2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( id(sK5(X0,X1),sK4(X0,X1))
& r2(X1,sK6(X0,X1))
& r3(X0,sK6(X0,X1),sK5(X0,X1))
& r2(sK7(X0,X1),sK4(X0,X1))
& r3(X0,X1,sK7(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f12]) ).
fof(f28,plain,
! [X0] :
( id(sK12(X0),X0)
& r1(sK13(X0))
& r3(X0,sK13(X0),sK12(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f15]) ).
fof(f31,plain,
! [X1] :
( r1(X1)
| ~ id(X1,sK0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
! [X1] :
( id(X1,sK0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X2,X0] :
( r2(X0,X2)
| ~ id(X2,sK1(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X2,X0] :
( id(X2,sK1(X0))
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X3,X0,X1] :
( r3(X0,X1,X3)
| ~ id(X3,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
! [X3,X0,X1] :
( id(X3,sK2(X0,X1))
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,X2)
| ~ id(X1,X3)
| ~ r2(X2,X3)
| r2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,X2)
| ~ id(X1,X3)
| ~ r2(X0,X1)
| r2(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ r3(X3,X4,X5)
| r3(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ r3(X0,X1,X2)
| r3(X3,X4,X5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f66,plain,
! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X0,X1] : r2(X1,sK6(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X0,X1] : id(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f77,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f78,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r3(X6,X6,X0)
| ~ r2(X7,X6)
| ~ r1(X8)
| ~ r2(X8,X7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f94,plain,
! [X2,X3,X0] :
( ~ id(X0,X2)
| r2(X2,X3)
| sP22(X0,X3) ),
inference(cnf_transformation,[],[f94_D]) ).
fof(f94_D,definition,
! [X3,X0] :
( ! [X2] :
( ~ id(X0,X2)
| r2(X2,X3) )
<=> ~ sP22(X0,X3) ),
introduced(definition,[new_symbols(definition,[sP22])],[general_splitting_component_introduction]) ).
fof(f95,plain,
! [X3,X0,X1] :
( ~ id(X1,X3)
| ~ r2(X0,X1)
| ~ sP22(X0,X3) ),
inference(general_splitting,[],[f56,f94_D]) ).
fof(f96,plain,
! [X2,X3,X0] :
( ~ id(X0,X2)
| ~ r2(X2,X3)
| sP23(X0,X3) ),
inference(cnf_transformation,[],[f96_D]) ).
fof(f96_D,definition,
! [X3,X0] :
( ! [X2] :
( ~ id(X0,X2)
| ~ r2(X2,X3) )
<=> ~ sP23(X0,X3) ),
introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).
fof(f97,plain,
! [X3,X0,X1] :
( ~ id(X1,X3)
| r2(X0,X1)
| ~ sP23(X0,X3) ),
inference(general_splitting,[],[f55,f96_D]) ).
fof(f108,plain,
! [X2,X0,X1,X5] :
( ~ id(X2,X5)
| ~ r3(X0,X1,X2)
| sP29(X0,X5,X1) ),
inference(cnf_transformation,[],[f108_D]) ).
fof(f108_D,definition,
! [X1,X5,X0] :
( ! [X2] :
( ~ id(X2,X5)
| ~ r3(X0,X1,X2) )
<=> ~ sP29(X0,X5,X1) ),
introduced(definition,[new_symbols(definition,[sP29])],[general_splitting_component_introduction]) ).
fof(f109,plain,
! [X3,X0,X1,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| r3(X3,X4,X5)
| ~ sP29(X0,X5,X1) ),
inference(general_splitting,[],[f60,f108_D]) ).
fof(f110,plain,
! [X3,X0,X4,X5] :
( ~ id(X0,X3)
| r3(X3,X4,X5)
| sP30(X5,X4,X0) ),
inference(cnf_transformation,[],[f110_D]) ).
fof(f110_D,definition,
! [X0,X4,X5] :
( ! [X3] :
( ~ id(X0,X3)
| r3(X3,X4,X5) )
<=> ~ sP30(X5,X4,X0) ),
introduced(definition,[new_symbols(definition,[sP30])],[general_splitting_component_introduction]) ).
fof(f111,plain,
! [X0,X1,X4,X5] :
( ~ id(X1,X4)
| ~ sP29(X0,X5,X1)
| ~ sP30(X5,X4,X0) ),
inference(general_splitting,[],[f109,f110_D]) ).
fof(f112,plain,
! [X2,X0,X1,X5] :
( ~ id(X2,X5)
| r3(X0,X1,X2)
| sP31(X0,X5,X1) ),
inference(cnf_transformation,[],[f112_D]) ).
fof(f112_D,definition,
! [X1,X5,X0] :
( ! [X2] :
( ~ id(X2,X5)
| r3(X0,X1,X2) )
<=> ~ sP31(X0,X5,X1) ),
introduced(definition,[new_symbols(definition,[sP31])],[general_splitting_component_introduction]) ).
fof(f113,plain,
! [X3,X0,X1,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ r3(X3,X4,X5)
| ~ sP31(X0,X5,X1) ),
inference(general_splitting,[],[f59,f112_D]) ).
fof(f114,plain,
! [X3,X0,X4,X5] :
( ~ id(X0,X3)
| ~ r3(X3,X4,X5)
| sP32(X5,X4,X0) ),
inference(cnf_transformation,[],[f114_D]) ).
fof(f114_D,definition,
! [X0,X4,X5] :
( ! [X3] :
( ~ id(X0,X3)
| ~ r3(X3,X4,X5) )
<=> ~ sP32(X5,X4,X0) ),
introduced(definition,[new_symbols(definition,[sP32])],[general_splitting_component_introduction]) ).
fof(f115,plain,
! [X0,X1,X4,X5] :
( ~ id(X1,X4)
| ~ sP31(X0,X5,X1)
| ~ sP32(X5,X4,X0) ),
inference(general_splitting,[],[f113,f114_D]) ).
fof(f146,plain,
! [X8,X7] :
( ~ r1(X8)
| ~ r2(X8,X7)
| sP48(X7) ),
inference(cnf_transformation,[],[f146_D]) ).
fof(f146_D,definition,
! [X7] :
( ! [X8] :
( ~ r1(X8)
| ~ r2(X8,X7) )
<=> ~ sP48(X7) ),
introduced(definition,[new_symbols(definition,[sP48])],[general_splitting_component_introduction]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r3(X6,X6,X0)
| ~ r2(X7,X6)
| ~ sP48(X7) ),
inference(general_splitting,[],[f89,f146_D]) ).
fof(f148,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ sP48(X7)
| sP49(X6) ),
inference(cnf_transformation,[],[f148_D]) ).
fof(f148_D,definition,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ sP48(X7) )
<=> ~ sP49(X6) ),
introduced(definition,[new_symbols(definition,[sP49])],[general_splitting_component_introduction]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r3(X6,X6,X0)
| ~ sP49(X6) ),
inference(general_splitting,[],[f147,f148_D]) ).
fof(f150,plain,
! [X0,X6] :
( ~ r3(X6,X6,X0)
| ~ sP49(X6)
| sP50(X0) ),
inference(cnf_transformation,[],[f150_D]) ).
fof(f150_D,definition,
! [X0] :
( ! [X6] :
( ~ r3(X6,X6,X0)
| ~ sP49(X6) )
<=> ~ sP50(X0) ),
introduced(definition,[new_symbols(definition,[sP50])],[general_splitting_component_introduction]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP50(X0) ),
inference(general_splitting,[],[f149,f150_D]) ).
fof(f152,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ sP50(X0)
| sP51(X1) ),
inference(cnf_transformation,[],[f152_D]) ).
fof(f152_D,definition,
! [X1] :
( ! [X0] :
( ~ id(X0,X1)
| ~ sP50(X0) )
<=> ~ sP51(X1) ),
introduced(definition,[new_symbols(definition,[sP51])],[general_splitting_component_introduction]) ).
fof(f153,plain,
! [X2,X3,X1,X4,X5] :
( ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP51(X1) ),
inference(general_splitting,[],[f151,f152_D]) ).
fof(f154,plain,
! [X2,X1] :
( ~ r2(X2,X1)
| ~ sP51(X1)
| sP52(X2) ),
inference(cnf_transformation,[],[f154_D]) ).
fof(f154_D,definition,
! [X2] :
( ! [X1] :
( ~ r2(X2,X1)
| ~ sP51(X1) )
<=> ~ sP52(X2) ),
introduced(definition,[new_symbols(definition,[sP52])],[general_splitting_component_introduction]) ).
fof(f155,plain,
! [X2,X3,X4,X5] :
( ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP52(X2) ),
inference(general_splitting,[],[f153,f154_D]) ).
fof(f156,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| ~ sP52(X2)
| sP53(X3) ),
inference(cnf_transformation,[],[f156_D]) ).
fof(f156_D,definition,
! [X3] :
( ! [X2] :
( ~ r2(X3,X2)
| ~ sP52(X2) )
<=> ~ sP53(X3) ),
introduced(definition,[new_symbols(definition,[sP53])],[general_splitting_component_introduction]) ).
fof(f157,plain,
! [X3,X4,X5] :
( ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP53(X3) ),
inference(general_splitting,[],[f155,f156_D]) ).
fof(f158,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP53(X3)
| sP54(X4) ),
inference(cnf_transformation,[],[f158_D]) ).
fof(f158_D,definition,
! [X4] :
( ! [X3] :
( ~ r2(X4,X3)
| ~ sP53(X3) )
<=> ~ sP54(X4) ),
introduced(definition,[new_symbols(definition,[sP54])],[general_splitting_component_introduction]) ).
fof(f159,plain,
! [X4,X5] :
( ~ r1(X5)
| ~ r2(X5,X4)
| ~ sP54(X4) ),
inference(general_splitting,[],[f157,f158_D]) ).
fof(f160,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| sP52(X2)
| sP53(X3) ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f161,plain,
! [X2,X1] :
( ~ r2(X2,X1)
| ~ sP51(X1)
| ~ sP52(X2) ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f162,plain,
! [X0,X1] :
( id(X0,X1)
| sP50(X0)
| sP51(X1) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f163,plain,
! [X0,X6] :
( r3(X6,X6,X0)
| sP49(X6)
| ~ sP50(X0) ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f164,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ sP48(X7)
| ~ sP49(X6) ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f187,plain,
! [X0,X1,X4,X5] :
( id(X1,X4)
| ~ sP31(X0,X5,X1)
| sP32(X5,X4,X0) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f188,plain,
! [X3,X0,X4,X5] :
( id(X0,X3)
| r3(X3,X4,X5)
| ~ sP32(X5,X4,X0) ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f189,plain,
! [X2,X0,X1,X5] :
( id(X2,X5)
| ~ r3(X0,X1,X2)
| sP31(X0,X5,X1) ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f190,plain,
! [X0,X1,X4,X5] :
( id(X1,X4)
| sP29(X0,X5,X1)
| ~ sP30(X5,X4,X0) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f191,plain,
! [X3,X0,X4,X5] :
( id(X0,X3)
| ~ r3(X3,X4,X5)
| sP30(X5,X4,X0) ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f192,plain,
! [X2,X0,X1,X5] :
( id(X2,X5)
| r3(X0,X1,X2)
| ~ sP29(X0,X5,X1) ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f200,plain,
! [X3,X0,X1] :
( id(X1,X3)
| r2(X0,X1)
| ~ sP23(X0,X3) ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f201,plain,
! [X2,X3,X0] :
( id(X0,X2)
| ~ r2(X2,X3)
| sP23(X0,X3) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f202,plain,
! [X3,X0,X1] :
( id(X1,X3)
| ~ r2(X0,X1)
| sP22(X0,X3) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f203,plain,
! [X2,X3,X0] :
( id(X0,X2)
| r2(X2,X3)
| ~ sP22(X0,X3) ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f207,plain,
! [X1] :
( ~ id(X1,sK0)
| ~ r1(X1) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f209,plain,
! [X1] :
( r1(X1)
| id(X1,sK0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f210,plain,
! [X2,X0] :
( ~ id(X2,sK1(X0))
| ~ r2(X0,X2) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f212,plain,
! [X2,X0] :
( r2(X0,X2)
| id(X2,sK1(X0)) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f213,plain,
! [X3,X0,X1] :
( ~ id(X3,sK2(X0,X1))
| r3(X0,X1,X3) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f216,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK2(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f220,plain,
! [X0] : ~ id(X0,X0),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f221,plain,
! [X0,X1] :
( id(X0,X1)
| ~ id(X1,X0) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f222,plain,
! [X2,X0,X1] :
( id(X0,X1)
| ~ id(X0,X2)
| id(X1,X2) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f227,plain,
! [X0,X1] : ~ id(sK5(X0,X1),sK4(X0,X1)),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f228,plain,
! [X0,X1] : ~ r3(X0,sK6(X0,X1),sK5(X0,X1)),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f229,plain,
! [X0,X1] : ~ r3(X0,X1,sK7(X0,X1)),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f232,plain,
! [X0] : ~ id(sK12(X0),X0),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f233,plain,
! [X0] : ~ r3(X0,sK13(X0),sK12(X0)),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f238,plain,
! [X2,X3,X0] :
( ~ id(X3,sK1(X2))
| id(X0,X2)
| ~ sP22(X0,X3) ),
inference(forward_literal_rewriting,[],[f203,f210]) ).
fof(f239,plain,
! [X3,X0,X1] :
( id(X1,sK1(X0))
| id(X1,X3)
| sP22(X0,X3) ),
inference(forward_literal_rewriting,[],[f202,f212]) ).
fof(f240,plain,
! [X2,X3,X0] :
( id(X3,sK1(X2))
| id(X0,X2)
| sP23(X0,X3) ),
inference(forward_literal_rewriting,[],[f201,f212]) ).
fof(f241,plain,
! [X3,X0,X1] :
( ~ id(X1,sK1(X0))
| id(X1,X3)
| ~ sP23(X0,X3) ),
inference(forward_literal_rewriting,[],[f200,f210]) ).
fof(f242,plain,
! [X2,X0,X1,X5] :
( id(X2,sK2(X0,X1))
| id(X2,X5)
| ~ sP29(X0,X5,X1) ),
inference(forward_literal_rewriting,[],[f192,f216]) ).
fof(f243,plain,
! [X3,X0,X4,X5] :
( ~ id(X5,sK2(X3,X4))
| id(X0,X3)
| sP30(X5,X4,X0) ),
inference(forward_literal_rewriting,[],[f191,f213]) ).
fof(f244,plain,
! [X2,X0,X1,X5] :
( ~ id(X2,sK2(X0,X1))
| id(X2,X5)
| sP31(X0,X5,X1) ),
inference(forward_literal_rewriting,[],[f189,f213]) ).
fof(f245,plain,
! [X3,X0,X4,X5] :
( id(X5,sK2(X3,X4))
| id(X0,X3)
| ~ sP32(X5,X4,X0) ),
inference(forward_literal_rewriting,[],[f188,f216]) ).
fof(f254,plain,
! [X8,X7] :
( id(X8,sK0)
| ~ r2(X8,X7)
| sP48(X7) ),
inference(forward_literal_rewriting,[],[f146,f209]) ).
fof(f255,plain,
! [X6,X7] :
( id(X6,sK1(X7))
| ~ sP48(X7)
| ~ sP49(X6) ),
inference(forward_literal_rewriting,[],[f164,f212]) ).
fof(f256,plain,
! [X0,X6] :
( id(X0,sK2(X6,X6))
| sP49(X6)
| ~ sP50(X0) ),
inference(forward_literal_rewriting,[],[f163,f216]) ).
fof(f257,plain,
! [X2,X1] :
( id(X1,sK1(X2))
| ~ sP51(X1)
| ~ sP52(X2) ),
inference(forward_literal_rewriting,[],[f161,f212]) ).
fof(f258,plain,
! [X2,X3] :
( id(X2,sK1(X3))
| sP52(X2)
| sP53(X3) ),
inference(forward_literal_rewriting,[],[f160,f212]) ).
fof(f259,plain,
! [X3,X4] :
( id(X3,sK1(X4))
| ~ sP53(X3)
| sP54(X4) ),
inference(forward_literal_rewriting,[],[f158,f212]) ).
fof(f260,plain,
! [X4,X5] :
( id(X5,sK0)
| ~ r2(X5,X4)
| ~ sP54(X4) ),
inference(forward_literal_rewriting,[],[f159,f209]) ).
fof(f261,plain,
! [X8,X7] :
( id(X7,sK1(X8))
| id(X8,sK0)
| sP48(X7) ),
inference(forward_literal_rewriting,[],[f254,f212]) ).
fof(f262,plain,
! [X4,X5] :
( id(X4,sK1(X5))
| id(X5,sK0)
| ~ sP54(X4) ),
inference(forward_literal_rewriting,[],[f260,f212]) ).
fof(f264,definition,
( spl55_1
<=> ! [X6,X7] :
( id(X6,sK1(X7))
| ~ sP48(X7)
| ~ sP49(X6) ) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f265,plain,
( ! [X6,X7] :
( ~ sP49(X6)
| ~ sP48(X7)
| id(X6,sK1(X7)) )
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
spl55_1,
inference(avatar_split_clause,[],[f255,f264]) ).
fof(f268,definition,
( spl55_2
<=> ! [X2,X1] :
( id(X1,sK1(X2))
| ~ sP51(X1)
| ~ sP52(X2) ) ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f269,plain,
( ! [X2,X1] :
( ~ sP52(X2)
| ~ sP51(X1)
| id(X1,sK1(X2)) )
| ~ spl55_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
spl55_2,
inference(avatar_split_clause,[],[f257,f268]) ).
fof(f272,definition,
( spl55_3
<=> ! [X2,X3] :
( id(X2,sK1(X3))
| sP52(X2)
| sP53(X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_3])],[avatar_definition]) ).
fof(f273,plain,
( ! [X2,X3] :
( sP53(X3)
| sP52(X2)
| id(X2,sK1(X3)) )
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
spl55_3,
inference(avatar_split_clause,[],[f258,f272]) ).
fof(f276,definition,
( spl55_4
<=> ! [X4,X3] :
( id(X3,sK1(X4))
| ~ sP53(X3)
| sP54(X4) ) ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
fof(f277,plain,
( ! [X3,X4] :
( ~ sP53(X3)
| id(X3,sK1(X4))
| sP54(X4) )
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f278,plain,
spl55_4,
inference(avatar_split_clause,[],[f259,f276]) ).
fof(f280,definition,
( spl55_5
<=> ! [X4,X5] :
( id(X4,sK1(X5))
| id(X5,sK0)
| ~ sP54(X4) ) ),
introduced(definition,[new_symbols(definition,[spl55_5])],[avatar_definition]) ).
fof(f281,plain,
( ! [X4,X5] :
( ~ sP54(X4)
| id(X5,sK0)
| id(X4,sK1(X5)) )
| ~ spl55_5 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
spl55_5,
inference(avatar_split_clause,[],[f262,f280]) ).
fof(f284,definition,
( spl55_6
<=> ! [X6,X0] :
( id(X0,sK2(X6,X6))
| sP49(X6)
| ~ sP50(X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_6])],[avatar_definition]) ).
fof(f285,plain,
( ! [X0,X6] :
( ~ sP50(X0)
| sP49(X6)
| id(X0,sK2(X6,X6)) )
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
spl55_6,
inference(avatar_split_clause,[],[f256,f284]) ).
fof(f288,definition,
( spl55_7
<=> ! [X8,X7] :
( id(X7,sK1(X8))
| id(X8,sK0)
| sP48(X7) ) ),
introduced(definition,[new_symbols(definition,[spl55_7])],[avatar_definition]) ).
fof(f289,plain,
( ! [X8,X7] :
( sP48(X7)
| id(X8,sK0)
| id(X7,sK1(X8)) )
| ~ spl55_7 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
spl55_7,
inference(avatar_split_clause,[],[f261,f288]) ).
fof(f292,definition,
( spl55_8
<=> ! [X0] : r1(sK13(X0)) ),
introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).
fof(f293,plain,
( ! [X0] : r1(sK13(X0))
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
spl55_8,
inference(avatar_split_clause,[],[f78,f292]) ).
fof(f295,plain,
( ! [X0] : ~ id(sK13(X0),sK0)
| ~ spl55_8 ),
inference(forward_literal_rewriting,[],[f293,f207]) ).
fof(f296,plain,
( ! [X0] : ~ id(sK0,sK13(X0))
| ~ spl55_8 ),
inference(forward_literal_rewriting,[],[f295,f221]) ).
fof(f298,definition,
( spl55_9
<=> ! [X0] : ~ id(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl55_9])],[avatar_definition]) ).
fof(f299,plain,
( ! [X0] : ~ id(X0,X0)
| ~ spl55_9 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f300,plain,
spl55_9,
inference(avatar_split_clause,[],[f220,f298]) ).
fof(f302,definition,
( spl55_10
<=> ! [X0] : ~ id(sK12(X0),X0) ),
introduced(definition,[new_symbols(definition,[spl55_10])],[avatar_definition]) ).
fof(f303,plain,
( ! [X0] : ~ id(sK12(X0),X0)
| ~ spl55_10 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
spl55_10,
inference(avatar_split_clause,[],[f232,f302]) ).
fof(f305,plain,
( ! [X0] : ~ id(X0,sK12(X0))
| ~ spl55_10 ),
inference(forward_literal_rewriting,[],[f303,f221]) ).
fof(f306,plain,
( sP48(sK1(sK0))
| ~ spl55_7
| ~ spl55_9 ),
inference(unit_resulting_resolution,[],[f289,f299,f299]) ).
fof(f307,plain,
( ~ sP54(sK1(sK0))
| ~ spl55_5
| ~ spl55_9 ),
inference(unit_resulting_resolution,[],[f281,f299,f299]) ).
fof(f311,definition,
( spl55_11
<=> ! [X0,X1] : r2(X1,sK6(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_11])],[avatar_definition]) ).
fof(f312,plain,
( ! [X0,X1] : r2(X1,sK6(X0,X1))
| ~ spl55_11 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
spl55_11,
inference(avatar_split_clause,[],[f69,f311]) ).
fof(f314,plain,
( ! [X0,X1] : ~ id(sK6(X0,X1),sK1(X1))
| ~ spl55_11 ),
inference(forward_literal_rewriting,[],[f312,f210]) ).
fof(f316,definition,
( spl55_12
<=> sP54(sK1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_12])],[avatar_definition]) ).
fof(f318,plain,
( ~ sP54(sK1(sK0))
| spl55_12 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl55_12
| ~ spl55_5
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f307,f298,f280,f316]) ).
fof(f320,plain,
( ~ sP53(sK1(sK1(sK0)))
| ~ spl55_4
| ~ spl55_9
| spl55_12 ),
inference(unit_resulting_resolution,[],[f277,f299,f318]) ).
fof(f322,definition,
( spl55_13
<=> sP48(sK1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f324,plain,
( sP48(sK1(sK0))
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,plain,
( spl55_13
| ~ spl55_7
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f306,f298,f288,f322]) ).
fof(f326,plain,
( ~ sP49(sK1(sK1(sK0)))
| ~ spl55_1
| ~ spl55_9
| ~ spl55_13 ),
inference(unit_resulting_resolution,[],[f265,f299,f324]) ).
fof(f328,definition,
( spl55_14
<=> sP53(sK1(sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_14])],[avatar_definition]) ).
fof(f330,plain,
( ~ sP53(sK1(sK1(sK0)))
| spl55_14 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,plain,
( ~ spl55_14
| ~ spl55_4
| ~ spl55_9
| spl55_12 ),
inference(avatar_split_clause,[],[f320,f316,f298,f276,f328]) ).
fof(f332,plain,
( sP52(sK1(sK1(sK1(sK0))))
| ~ spl55_3
| ~ spl55_9
| spl55_14 ),
inference(unit_resulting_resolution,[],[f273,f299,f330]) ).
fof(f342,definition,
( spl55_17
<=> sP49(sK1(sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_17])],[avatar_definition]) ).
fof(f344,plain,
( ~ sP49(sK1(sK1(sK0)))
| spl55_17 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,plain,
( ~ spl55_17
| ~ spl55_1
| ~ spl55_9
| ~ spl55_13 ),
inference(avatar_split_clause,[],[f326,f322,f298,f264,f342]) ).
fof(f346,plain,
( ~ sP50(sK2(sK1(sK1(sK0)),sK1(sK1(sK0))))
| ~ spl55_6
| ~ spl55_9
| spl55_17 ),
inference(unit_resulting_resolution,[],[f285,f299,f344]) ).
fof(f352,definition,
( spl55_19
<=> sP52(sK1(sK1(sK1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl55_19])],[avatar_definition]) ).
fof(f354,plain,
( sP52(sK1(sK1(sK1(sK0))))
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f355,plain,
( spl55_19
| ~ spl55_3
| ~ spl55_9
| spl55_14 ),
inference(avatar_split_clause,[],[f332,f328,f298,f272,f352]) ).
fof(f356,plain,
( ~ sP51(sK1(sK1(sK1(sK1(sK0)))))
| ~ spl55_2
| ~ spl55_9
| ~ spl55_19 ),
inference(unit_resulting_resolution,[],[f269,f299,f354]) ).
fof(f358,definition,
( spl55_20
<=> ! [X0] : ~ id(sK0,sK13(X0)) ),
introduced(definition,[new_symbols(definition,[spl55_20])],[avatar_definition]) ).
fof(f359,plain,
( ! [X0] : ~ id(sK0,sK13(X0))
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f360,plain,
( spl55_20
| ~ spl55_8 ),
inference(avatar_split_clause,[],[f296,f292,f358]) ).
fof(f362,definition,
( spl55_21
<=> ! [X0] : ~ id(X0,sK12(X0)) ),
introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).
fof(f363,plain,
( ! [X0] : ~ id(X0,sK12(X0))
| ~ spl55_21 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( spl55_21
| ~ spl55_10 ),
inference(avatar_split_clause,[],[f305,f302,f362]) ).
fof(f366,definition,
( spl55_22
<=> sP51(sK1(sK1(sK1(sK1(sK0))))) ),
introduced(definition,[new_symbols(definition,[spl55_22])],[avatar_definition]) ).
fof(f368,plain,
( ~ sP51(sK1(sK1(sK1(sK1(sK0)))))
| spl55_22 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,plain,
( ~ spl55_22
| ~ spl55_2
| ~ spl55_9
| ~ spl55_19 ),
inference(avatar_split_clause,[],[f356,f352,f298,f268,f366]) ).
fof(f371,definition,
( spl55_23
<=> sP50(sK2(sK1(sK1(sK0)),sK1(sK1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl55_23])],[avatar_definition]) ).
fof(f373,plain,
( ~ sP50(sK2(sK1(sK1(sK0)),sK1(sK1(sK0))))
| spl55_23 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( ~ spl55_23
| ~ spl55_6
| ~ spl55_9
| spl55_17 ),
inference(avatar_split_clause,[],[f346,f342,f298,f284,f371]) ).
fof(f376,definition,
( spl55_24
<=> ! [X0,X1] :
( id(X0,X1)
| ~ id(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_24])],[avatar_definition]) ).
fof(f377,plain,
( ! [X0,X1] :
( ~ id(X1,X0)
| id(X0,X1) )
| ~ spl55_24 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
spl55_24,
inference(avatar_split_clause,[],[f221,f376]) ).
fof(f380,definition,
( spl55_25
<=> ! [X0,X1] : ~ r3(X0,X1,sK7(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_25])],[avatar_definition]) ).
fof(f381,plain,
( ! [X0,X1] : ~ r3(X0,X1,sK7(X0,X1))
| ~ spl55_25 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f382,plain,
spl55_25,
inference(avatar_split_clause,[],[f229,f380]) ).
fof(f383,plain,
( ! [X0,X1] : ~ id(sK7(X0,X1),sK2(X0,X1))
| ~ spl55_25 ),
inference(forward_literal_rewriting,[],[f381,f213]) ).
fof(f384,plain,
( ! [X0,X1] : ~ id(sK2(X0,X1),sK7(X0,X1))
| ~ spl55_24
| ~ spl55_25 ),
inference(forward_literal_rewriting,[],[f383,f377]) ).
fof(f386,definition,
( spl55_26
<=> ! [X0] : ~ r3(X0,sK13(X0),sK12(X0)) ),
introduced(definition,[new_symbols(definition,[spl55_26])],[avatar_definition]) ).
fof(f387,plain,
( ! [X0] : ~ r3(X0,sK13(X0),sK12(X0))
| ~ spl55_26 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
spl55_26,
inference(avatar_split_clause,[],[f233,f386]) ).
fof(f389,plain,
( ! [X0] : ~ id(sK12(X0),sK2(X0,sK13(X0)))
| ~ spl55_26 ),
inference(forward_literal_rewriting,[],[f387,f213]) ).
fof(f404,definition,
( spl55_29
<=> ! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_29])],[avatar_definition]) ).
fof(f405,plain,
( ! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1))
| ~ spl55_29 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f406,plain,
spl55_29,
inference(avatar_split_clause,[],[f67,f404]) ).
fof(f407,plain,
( ! [X0,X1] : ~ id(sK4(X0,X1),sK1(sK7(X0,X1)))
| ~ spl55_29 ),
inference(forward_literal_rewriting,[],[f405,f210]) ).
fof(f429,definition,
( spl55_34
<=> ! [X0,X1] : ~ id(sK5(X0,X1),sK4(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_34])],[avatar_definition]) ).
fof(f430,plain,
( ! [X0,X1] : ~ id(sK5(X0,X1),sK4(X0,X1))
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
spl55_34,
inference(avatar_split_clause,[],[f227,f429]) ).
fof(f432,plain,
( ! [X0,X1] : ~ id(sK4(X0,X1),sK5(X0,X1))
| ~ spl55_24
| ~ spl55_34 ),
inference(forward_literal_rewriting,[],[f430,f377]) ).
fof(f440,definition,
( spl55_36
<=> ! [X0,X1] : ~ id(sK6(X0,X1),sK1(X1)) ),
introduced(definition,[new_symbols(definition,[spl55_36])],[avatar_definition]) ).
fof(f441,plain,
( ! [X0,X1] : ~ id(sK6(X0,X1),sK1(X1))
| ~ spl55_36 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f442,plain,
( spl55_36
| ~ spl55_11 ),
inference(avatar_split_clause,[],[f314,f311,f440]) ).
fof(f494,definition,
( spl55_43
<=> ! [X0,X1] : ~ r3(X0,sK6(X0,X1),sK5(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_43])],[avatar_definition]) ).
fof(f495,plain,
( ! [X0,X1] : ~ r3(X0,sK6(X0,X1),sK5(X0,X1))
| ~ spl55_43 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f496,plain,
spl55_43,
inference(avatar_split_clause,[],[f228,f494]) ).
fof(f497,plain,
( ! [X0,X1] : ~ id(sK5(X0,X1),sK2(X0,sK6(X0,X1)))
| ~ spl55_43 ),
inference(forward_literal_rewriting,[],[f495,f213]) ).
fof(f508,definition,
( spl55_46
<=> ! [X0] : ~ id(sK12(X0),sK2(X0,sK13(X0))) ),
introduced(definition,[new_symbols(definition,[spl55_46])],[avatar_definition]) ).
fof(f509,plain,
( ! [X0] : ~ id(sK12(X0),sK2(X0,sK13(X0)))
| ~ spl55_46 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( spl55_46
| ~ spl55_26 ),
inference(avatar_split_clause,[],[f389,f386,f508]) ).
fof(f553,definition,
( spl55_54
<=> ! [X2,X0,X1] :
( id(X0,X1)
| ~ id(X0,X2)
| id(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl55_54])],[avatar_definition]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( ~ id(X0,X2)
| id(X0,X1)
| id(X1,X2) )
| ~ spl55_54 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
spl55_54,
inference(avatar_split_clause,[],[f222,f553]) ).
fof(f562,definition,
( spl55_56
<=> ! [X0,X1] : ~ id(sK4(X0,X1),sK1(sK7(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl55_56])],[avatar_definition]) ).
fof(f563,plain,
( ! [X0,X1] : ~ id(sK4(X0,X1),sK1(sK7(X0,X1)))
| ~ spl55_56 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f564,plain,
( spl55_56
| ~ spl55_29 ),
inference(avatar_split_clause,[],[f407,f404,f562]) ).
fof(f594,definition,
( spl55_59
<=> ! [X0,X1] :
( id(X0,X1)
| sP50(X0)
| sP51(X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_59])],[avatar_definition]) ).
fof(f595,plain,
( ! [X0,X1] :
( sP51(X1)
| sP50(X0)
| id(X0,X1) )
| ~ spl55_59 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f596,plain,
spl55_59,
inference(avatar_split_clause,[],[f162,f594]) ).
fof(f610,definition,
( spl55_62
<=> ! [X0,X1,X3] :
( id(X1,sK1(X0))
| id(X1,X3)
| sP22(X0,X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_62])],[avatar_definition]) ).
fof(f611,plain,
( ! [X3,X0,X1] :
( sP22(X0,X3)
| id(X1,X3)
| id(X1,sK1(X0)) )
| ~ spl55_62 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f612,plain,
spl55_62,
inference(avatar_split_clause,[],[f239,f610]) ).
fof(f624,definition,
( spl55_65
<=> ! [X0,X1,X3] :
( ~ id(X1,sK1(X0))
| id(X1,X3)
| ~ sP23(X0,X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_65])],[avatar_definition]) ).
fof(f625,plain,
( ! [X3,X0,X1] :
( ~ id(X1,sK1(X0))
| id(X1,X3)
| ~ sP23(X0,X3) )
| ~ spl55_65 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f626,plain,
spl55_65,
inference(avatar_split_clause,[],[f241,f624]) ).
fof(f645,plain,
( id(sK2(sK1(sK1(sK0)),sK1(sK1(sK0))),sK1(sK1(sK1(sK1(sK0)))))
| spl55_22
| spl55_23
| ~ spl55_59 ),
inference(unit_resulting_resolution,[],[f595,f373,f368]) ).
fof(f659,plain,
( id(sK1(sK1(sK1(sK1(sK0)))),sK2(sK1(sK1(sK0)),sK1(sK1(sK0))))
| spl55_22
| spl55_23
| ~ spl55_24
| ~ spl55_59 ),
inference(forward_literal_rewriting,[],[f645,f377]) ).
fof(f694,definition,
( spl55_74
<=> ! [X0,X1] : ~ id(sK5(X0,X1),sK2(X0,sK6(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl55_74])],[avatar_definition]) ).
fof(f695,plain,
( ! [X0,X1] : ~ id(sK5(X0,X1),sK2(X0,sK6(X0,X1)))
| ~ spl55_74 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( spl55_74
| ~ spl55_43 ),
inference(avatar_split_clause,[],[f497,f494,f694]) ).
fof(f747,definition,
( spl55_78
<=> ! [X2,X0,X3] :
( ~ id(X3,sK1(X2))
| id(X0,X2)
| ~ sP22(X0,X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_78])],[avatar_definition]) ).
fof(f748,plain,
( ! [X2,X3,X0] :
( ~ id(X3,sK1(X2))
| id(X0,X2)
| ~ sP22(X0,X3) )
| ~ spl55_78 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
spl55_78,
inference(avatar_split_clause,[],[f238,f747]) ).
fof(f757,definition,
( spl55_80
<=> ! [X2,X0,X3] :
( id(X3,sK1(X2))
| id(X0,X2)
| sP23(X0,X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_80])],[avatar_definition]) ).
fof(f758,plain,
( ! [X2,X3,X0] :
( sP23(X0,X3)
| id(X0,X2)
| id(X3,sK1(X2)) )
| ~ spl55_80 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f759,plain,
spl55_80,
inference(avatar_split_clause,[],[f240,f757]) ).
fof(f804,definition,
( spl55_88
<=> ! [X4,X0,X5,X1] :
( id(X1,X4)
| ~ sP31(X0,X5,X1)
| sP32(X5,X4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_88])],[avatar_definition]) ).
fof(f805,plain,
( ! [X0,X1,X4,X5] :
( ~ sP31(X0,X5,X1)
| id(X1,X4)
| sP32(X5,X4,X0) )
| ~ spl55_88 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
spl55_88,
inference(avatar_split_clause,[],[f187,f804]) ).
fof(f830,definition,
( spl55_91
<=> ! [X4,X0,X5,X1] :
( id(X1,X4)
| sP29(X0,X5,X1)
| ~ sP30(X5,X4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_91])],[avatar_definition]) ).
fof(f831,plain,
( ! [X0,X1,X4,X5] :
( ~ sP30(X5,X4,X0)
| sP29(X0,X5,X1)
| id(X1,X4) )
| ~ spl55_91 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f832,plain,
spl55_91,
inference(avatar_split_clause,[],[f190,f830]) ).
fof(f838,definition,
( spl55_93
<=> ! [X0,X1] : ~ id(sK2(X0,X1),sK7(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_93])],[avatar_definition]) ).
fof(f839,plain,
( ! [X0,X1] : ~ id(sK2(X0,X1),sK7(X0,X1))
| ~ spl55_93 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f840,plain,
( spl55_93
| ~ spl55_24
| ~ spl55_25 ),
inference(avatar_split_clause,[],[f384,f380,f376,f838]) ).
fof(f859,definition,
( spl55_95
<=> ! [X0,X1] : ~ id(sK4(X0,X1),sK5(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl55_95])],[avatar_definition]) ).
fof(f860,plain,
( ! [X0,X1] : ~ id(sK4(X0,X1),sK5(X0,X1))
| ~ spl55_95 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f861,plain,
( spl55_95
| ~ spl55_24
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f432,f429,f376,f859]) ).
fof(f994,definition,
( spl55_107
<=> ! [X0,X5,X2,X1] :
( id(X2,sK2(X0,X1))
| id(X2,X5)
| ~ sP29(X0,X5,X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_107])],[avatar_definition]) ).
fof(f995,plain,
( ! [X2,X0,X1,X5] :
( ~ sP29(X0,X5,X1)
| id(X2,X5)
| id(X2,sK2(X0,X1)) )
| ~ spl55_107 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f996,plain,
spl55_107,
inference(avatar_split_clause,[],[f242,f994]) ).
fof(f998,definition,
( spl55_108
<=> ! [X4,X0,X5,X3] :
( ~ id(X5,sK2(X3,X4))
| id(X0,X3)
| sP30(X5,X4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_108])],[avatar_definition]) ).
fof(f999,plain,
( ! [X3,X0,X4,X5] :
( ~ id(X5,sK2(X3,X4))
| id(X0,X3)
| sP30(X5,X4,X0) )
| ~ spl55_108 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1000,plain,
spl55_108,
inference(avatar_split_clause,[],[f243,f998]) ).
fof(f1010,definition,
( spl55_110
<=> ! [X0,X5,X2,X1] :
( ~ id(X2,sK2(X0,X1))
| id(X2,X5)
| sP31(X0,X5,X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_110])],[avatar_definition]) ).
fof(f1011,plain,
( ! [X2,X0,X1,X5] :
( ~ id(X2,sK2(X0,X1))
| id(X2,X5)
| sP31(X0,X5,X1) )
| ~ spl55_110 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1012,plain,
spl55_110,
inference(avatar_split_clause,[],[f244,f1010]) ).
fof(f1022,definition,
( spl55_112
<=> ! [X4,X0,X5,X3] :
( id(X5,sK2(X3,X4))
| id(X0,X3)
| ~ sP32(X5,X4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_112])],[avatar_definition]) ).
fof(f1023,plain,
( ! [X3,X0,X4,X5] :
( ~ sP32(X5,X4,X0)
| id(X0,X3)
| id(X5,sK2(X3,X4)) )
| ~ spl55_112 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1024,plain,
spl55_112,
inference(avatar_split_clause,[],[f245,f1022]) ).
fof(f1435,definition,
( spl55_149
<=> id(sK1(sK1(sK1(sK1(sK0)))),sK2(sK1(sK1(sK0)),sK1(sK1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl55_149])],[avatar_definition]) ).
fof(f1437,plain,
( id(sK1(sK1(sK1(sK1(sK0)))),sK2(sK1(sK1(sK0)),sK1(sK1(sK0))))
| ~ spl55_149 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1438,plain,
( spl55_149
| spl55_22
| spl55_23
| ~ spl55_24
| ~ spl55_59 ),
inference(avatar_split_clause,[],[f659,f594,f376,f371,f366,f1435]) ).
fof(f1441,plain,
( sP30(sK1(sK1(sK1(sK1(sK0)))),sK1(sK1(sK0)),sK1(sK1(sK0)))
| ~ spl55_9
| ~ spl55_108
| ~ spl55_149 ),
inference(unit_resulting_resolution,[],[f999,f299,f1437]) ).
fof(f1464,definition,
( spl55_151
<=> sP30(sK1(sK1(sK1(sK1(sK0)))),sK1(sK1(sK0)),sK1(sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_151])],[avatar_definition]) ).
fof(f1466,plain,
( sP30(sK1(sK1(sK1(sK1(sK0)))),sK1(sK1(sK0)),sK1(sK1(sK0)))
| ~ spl55_151 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1467,plain,
( spl55_151
| ~ spl55_9
| ~ spl55_108
| ~ spl55_149 ),
inference(avatar_split_clause,[],[f1441,f1435,f998,f298,f1464]) ).
fof(f1469,plain,
( ! [X0] : sP29(sK1(sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))),sK6(X0,sK1(sK0)))
| ~ spl55_36
| ~ spl55_91
| ~ spl55_151 ),
inference(unit_resulting_resolution,[],[f831,f441,f1466]) ).
fof(f1524,definition,
( spl55_159
<=> ! [X0] : sP29(sK1(sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))),sK6(X0,sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_159])],[avatar_definition]) ).
fof(f1525,plain,
( ! [X0] : sP29(sK1(sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))),sK6(X0,sK1(sK0)))
| ~ spl55_159 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1526,plain,
( spl55_159
| ~ spl55_36
| ~ spl55_91
| ~ spl55_151 ),
inference(avatar_split_clause,[],[f1469,f1464,f830,f440,f1524]) ).
fof(f1600,plain,
( id(sK5(sK1(sK1(sK0)),sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))))
| ~ spl55_74
| ~ spl55_107
| ~ spl55_159 ),
inference(unit_resulting_resolution,[],[f995,f695,f1525]) ).
fof(f1628,definition,
( spl55_163
<=> id(sK5(sK1(sK1(sK0)),sK1(sK0)),sK1(sK1(sK1(sK1(sK0))))) ),
introduced(definition,[new_symbols(definition,[spl55_163])],[avatar_definition]) ).
fof(f1630,plain,
( id(sK5(sK1(sK1(sK0)),sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))))
| ~ spl55_163 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1631,plain,
( spl55_163
| ~ spl55_74
| ~ spl55_107
| ~ spl55_159 ),
inference(avatar_split_clause,[],[f1600,f1524,f994,f694,f1628]) ).
fof(f1632,plain,
( ~ sP22(sK1(sK1(sK1(sK0))),sK5(sK1(sK1(sK0)),sK1(sK0)))
| ~ spl55_9
| ~ spl55_78
| ~ spl55_163 ),
inference(unit_resulting_resolution,[],[f748,f299,f1630]) ).
fof(f1653,definition,
( spl55_164
<=> sP22(sK1(sK1(sK1(sK0))),sK5(sK1(sK1(sK0)),sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_164])],[avatar_definition]) ).
fof(f1655,plain,
( ~ sP22(sK1(sK1(sK1(sK0))),sK5(sK1(sK1(sK0)),sK1(sK0)))
| spl55_164 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1656,plain,
( ~ spl55_164
| ~ spl55_9
| ~ spl55_78
| ~ spl55_163 ),
inference(avatar_split_clause,[],[f1632,f1628,f747,f298,f1653]) ).
fof(f1660,plain,
( id(sK4(sK1(sK1(sK0)),sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))))
| ~ spl55_62
| ~ spl55_95
| spl55_164 ),
inference(unit_resulting_resolution,[],[f611,f860,f1655]) ).
fof(f1690,definition,
( spl55_168
<=> id(sK4(sK1(sK1(sK0)),sK1(sK0)),sK1(sK1(sK1(sK1(sK0))))) ),
introduced(definition,[new_symbols(definition,[spl55_168])],[avatar_definition]) ).
fof(f1692,plain,
( id(sK4(sK1(sK1(sK0)),sK1(sK0)),sK1(sK1(sK1(sK1(sK0)))))
| ~ spl55_168 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1693,plain,
( spl55_168
| ~ spl55_62
| ~ spl55_95
| spl55_164 ),
inference(avatar_split_clause,[],[f1660,f1653,f859,f610,f1690]) ).
fof(f1698,plain,
( ~ sP23(sK1(sK1(sK1(sK0))),sK4(sK1(sK1(sK0)),sK1(sK0)))
| ~ spl55_9
| ~ spl55_65
| ~ spl55_168 ),
inference(unit_resulting_resolution,[],[f625,f299,f1692]) ).
fof(f1728,definition,
( spl55_170
<=> sP23(sK1(sK1(sK1(sK0))),sK4(sK1(sK1(sK0)),sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_170])],[avatar_definition]) ).
fof(f1730,plain,
( ~ sP23(sK1(sK1(sK1(sK0))),sK4(sK1(sK1(sK0)),sK1(sK0)))
| spl55_170 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1731,plain,
( ~ spl55_170
| ~ spl55_9
| ~ spl55_65
| ~ spl55_168 ),
inference(avatar_split_clause,[],[f1698,f1690,f624,f298,f1728]) ).
fof(f1735,plain,
( id(sK1(sK1(sK1(sK0))),sK7(sK1(sK1(sK0)),sK1(sK0)))
| ~ spl55_56
| ~ spl55_80
| spl55_170 ),
inference(unit_resulting_resolution,[],[f758,f563,f1730]) ).
fof(f1737,definition,
( spl55_171
<=> id(sK1(sK1(sK1(sK0))),sK7(sK1(sK1(sK0)),sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_171])],[avatar_definition]) ).
fof(f1739,plain,
( id(sK1(sK1(sK1(sK0))),sK7(sK1(sK1(sK0)),sK1(sK0)))
| ~ spl55_171 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1740,plain,
( spl55_171
| ~ spl55_56
| ~ spl55_80
| spl55_170 ),
inference(avatar_split_clause,[],[f1735,f1728,f757,f562,f1737]) ).
fof(f1747,plain,
( id(sK1(sK1(sK1(sK0))),sK2(sK1(sK1(sK0)),sK1(sK0)))
| ~ spl55_54
| ~ spl55_93
| ~ spl55_171 ),
inference(unit_resulting_resolution,[],[f554,f839,f1739]) ).
fof(f1757,definition,
( spl55_173
<=> id(sK1(sK1(sK1(sK0))),sK2(sK1(sK1(sK0)),sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_173])],[avatar_definition]) ).
fof(f1759,plain,
( id(sK1(sK1(sK1(sK0))),sK2(sK1(sK1(sK0)),sK1(sK0)))
| ~ spl55_173 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1760,plain,
( spl55_173
| ~ spl55_54
| ~ spl55_93
| ~ spl55_171 ),
inference(avatar_split_clause,[],[f1747,f1737,f838,f553,f1757]) ).
fof(f1764,plain,
( sP30(sK1(sK1(sK1(sK0))),sK1(sK0),sK1(sK1(sK0)))
| ~ spl55_9
| ~ spl55_108
| ~ spl55_173 ),
inference(unit_resulting_resolution,[],[f999,f299,f1759]) ).
fof(f1787,definition,
( spl55_175
<=> sP30(sK1(sK1(sK1(sK0))),sK1(sK0),sK1(sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_175])],[avatar_definition]) ).
fof(f1789,plain,
( sP30(sK1(sK1(sK1(sK0))),sK1(sK0),sK1(sK1(sK0)))
| ~ spl55_175 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1790,plain,
( spl55_175
| ~ spl55_9
| ~ spl55_108
| ~ spl55_173 ),
inference(avatar_split_clause,[],[f1764,f1757,f998,f298,f1787]) ).
fof(f1792,plain,
( ! [X0] : sP29(sK1(sK1(sK0)),sK1(sK1(sK1(sK0))),sK6(X0,sK0))
| ~ spl55_36
| ~ spl55_91
| ~ spl55_175 ),
inference(unit_resulting_resolution,[],[f831,f441,f1789]) ).
fof(f1916,definition,
( spl55_184
<=> ! [X0] : sP29(sK1(sK1(sK0)),sK1(sK1(sK1(sK0))),sK6(X0,sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_184])],[avatar_definition]) ).
fof(f1917,plain,
( ! [X0] : sP29(sK1(sK1(sK0)),sK1(sK1(sK1(sK0))),sK6(X0,sK0))
| ~ spl55_184 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1918,plain,
( spl55_184
| ~ spl55_36
| ~ spl55_91
| ~ spl55_175 ),
inference(avatar_split_clause,[],[f1792,f1787,f830,f440,f1916]) ).
fof(f1922,plain,
( id(sK5(sK1(sK1(sK0)),sK0),sK1(sK1(sK1(sK0))))
| ~ spl55_74
| ~ spl55_107
| ~ spl55_184 ),
inference(unit_resulting_resolution,[],[f995,f695,f1917]) ).
fof(f1924,definition,
( spl55_185
<=> id(sK5(sK1(sK1(sK0)),sK0),sK1(sK1(sK1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl55_185])],[avatar_definition]) ).
fof(f1926,plain,
( id(sK5(sK1(sK1(sK0)),sK0),sK1(sK1(sK1(sK0))))
| ~ spl55_185 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f1927,plain,
( spl55_185
| ~ spl55_74
| ~ spl55_107
| ~ spl55_184 ),
inference(avatar_split_clause,[],[f1922,f1916,f994,f694,f1924]) ).
fof(f1928,plain,
( ~ sP22(sK1(sK1(sK0)),sK5(sK1(sK1(sK0)),sK0))
| ~ spl55_9
| ~ spl55_78
| ~ spl55_185 ),
inference(unit_resulting_resolution,[],[f748,f299,f1926]) ).
fof(f1949,definition,
( spl55_186
<=> sP22(sK1(sK1(sK0)),sK5(sK1(sK1(sK0)),sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_186])],[avatar_definition]) ).
fof(f1951,plain,
( ~ sP22(sK1(sK1(sK0)),sK5(sK1(sK1(sK0)),sK0))
| spl55_186 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1952,plain,
( ~ spl55_186
| ~ spl55_9
| ~ spl55_78
| ~ spl55_185 ),
inference(avatar_split_clause,[],[f1928,f1924,f747,f298,f1949]) ).
fof(f1956,plain,
( id(sK4(sK1(sK1(sK0)),sK0),sK1(sK1(sK1(sK0))))
| ~ spl55_62
| ~ spl55_95
| spl55_186 ),
inference(unit_resulting_resolution,[],[f611,f860,f1951]) ).
fof(f1988,definition,
( spl55_190
<=> id(sK4(sK1(sK1(sK0)),sK0),sK1(sK1(sK1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl55_190])],[avatar_definition]) ).
fof(f1990,plain,
( id(sK4(sK1(sK1(sK0)),sK0),sK1(sK1(sK1(sK0))))
| ~ spl55_190 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f1991,plain,
( spl55_190
| ~ spl55_62
| ~ spl55_95
| spl55_186 ),
inference(avatar_split_clause,[],[f1956,f1949,f859,f610,f1988]) ).
fof(f1996,plain,
( ~ sP23(sK1(sK1(sK0)),sK4(sK1(sK1(sK0)),sK0))
| ~ spl55_9
| ~ spl55_65
| ~ spl55_190 ),
inference(unit_resulting_resolution,[],[f625,f299,f1990]) ).
fof(f2026,definition,
( spl55_192
<=> sP23(sK1(sK1(sK0)),sK4(sK1(sK1(sK0)),sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_192])],[avatar_definition]) ).
fof(f2028,plain,
( ~ sP23(sK1(sK1(sK0)),sK4(sK1(sK1(sK0)),sK0))
| spl55_192 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2029,plain,
( ~ spl55_192
| ~ spl55_9
| ~ spl55_65
| ~ spl55_190 ),
inference(avatar_split_clause,[],[f1996,f1988,f624,f298,f2026]) ).
fof(f2034,plain,
( id(sK1(sK1(sK0)),sK7(sK1(sK1(sK0)),sK0))
| ~ spl55_56
| ~ spl55_80
| spl55_192 ),
inference(unit_resulting_resolution,[],[f758,f563,f2028]) ).
fof(f2036,definition,
( spl55_193
<=> id(sK1(sK1(sK0)),sK7(sK1(sK1(sK0)),sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_193])],[avatar_definition]) ).
fof(f2038,plain,
( id(sK1(sK1(sK0)),sK7(sK1(sK1(sK0)),sK0))
| ~ spl55_193 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2039,plain,
( spl55_193
| ~ spl55_56
| ~ spl55_80
| spl55_192 ),
inference(avatar_split_clause,[],[f2034,f2026,f757,f562,f2036]) ).
fof(f2047,plain,
( id(sK1(sK1(sK0)),sK2(sK1(sK1(sK0)),sK0))
| ~ spl55_54
| ~ spl55_93
| ~ spl55_193 ),
inference(unit_resulting_resolution,[],[f554,f839,f2038]) ).
fof(f2053,definition,
( spl55_194
<=> id(sK1(sK1(sK0)),sK2(sK1(sK1(sK0)),sK0)) ),
introduced(definition,[new_symbols(definition,[spl55_194])],[avatar_definition]) ).
fof(f2055,plain,
( id(sK1(sK1(sK0)),sK2(sK1(sK1(sK0)),sK0))
| ~ spl55_194 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2056,plain,
( spl55_194
| ~ spl55_54
| ~ spl55_93
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f2047,f2036,f838,f553,f2053]) ).
fof(f2059,plain,
( sP31(sK1(sK1(sK0)),sK12(sK1(sK1(sK0))),sK0)
| ~ spl55_21
| ~ spl55_110
| ~ spl55_194 ),
inference(unit_resulting_resolution,[],[f1011,f363,f2055]) ).
fof(f2120,definition,
( spl55_200
<=> sP31(sK1(sK1(sK0)),sK12(sK1(sK1(sK0))),sK0) ),
introduced(definition,[new_symbols(definition,[spl55_200])],[avatar_definition]) ).
fof(f2122,plain,
( sP31(sK1(sK1(sK0)),sK12(sK1(sK1(sK0))),sK0)
| ~ spl55_200 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f2123,plain,
( spl55_200
| ~ spl55_21
| ~ spl55_110
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2059,f2053,f1010,f362,f2120]) ).
fof(f2124,plain,
( ! [X0] : sP32(sK12(sK1(sK1(sK0))),sK13(X0),sK1(sK1(sK0)))
| ~ spl55_20
| ~ spl55_88
| ~ spl55_200 ),
inference(unit_resulting_resolution,[],[f805,f359,f2122]) ).
fof(f2396,definition,
( spl55_226
<=> ! [X0] : sP32(sK12(sK1(sK1(sK0))),sK13(X0),sK1(sK1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl55_226])],[avatar_definition]) ).
fof(f2397,plain,
( ! [X0] : sP32(sK12(sK1(sK1(sK0))),sK13(X0),sK1(sK1(sK0)))
| ~ spl55_226 ),
inference(avatar_component_clause,[],[f2396]) ).
fof(f2398,plain,
( spl55_226
| ~ spl55_20
| ~ spl55_88
| ~ spl55_200 ),
inference(avatar_split_clause,[],[f2124,f2120,f804,f358,f2396]) ).
fof(f2403,plain,
( id(sK1(sK1(sK0)),sK1(sK1(sK0)))
| ~ spl55_46
| ~ spl55_112
| ~ spl55_226 ),
inference(unit_resulting_resolution,[],[f1023,f509,f2397]) ).
fof(f2406,plain,
( $false
| ~ spl55_9
| ~ spl55_46
| ~ spl55_112
| ~ spl55_226 ),
inference(forward_subsumption_resolution,[],[f2403,f299]) ).
fof(f2407,plain,
( ~ spl55_9
| ~ spl55_46
| ~ spl55_112
| ~ spl55_226 ),
inference(avatar_contradiction_clause,[],[f2406]) ).
cnf(s1,plain,
spl55_1,
inference(sat_conversion,[],[f266]) ).
cnf(s2,plain,
spl55_2,
inference(sat_conversion,[],[f270]) ).
cnf(s3,plain,
spl55_3,
inference(sat_conversion,[],[f274]) ).
cnf(s4,plain,
spl55_4,
inference(sat_conversion,[],[f278]) ).
cnf(s5,plain,
spl55_5,
inference(sat_conversion,[],[f282]) ).
cnf(s6,plain,
spl55_6,
inference(sat_conversion,[],[f286]) ).
cnf(s7,plain,
spl55_7,
inference(sat_conversion,[],[f290]) ).
cnf(s8,plain,
spl55_8,
inference(sat_conversion,[],[f294]) ).
cnf(s9,plain,
spl55_9,
inference(sat_conversion,[],[f300]) ).
cnf(s10,plain,
spl55_10,
inference(sat_conversion,[],[f304]) ).
cnf(s11,plain,
spl55_11,
inference(sat_conversion,[],[f313]) ).
cnf(s12,plain,
( ~ spl55_5
| ~ spl55_9
| ~ spl55_12 ),
inference(sat_conversion,[],[f319]) ).
cnf(s13,plain,
( ~ spl55_7
| ~ spl55_9
| spl55_13 ),
inference(sat_conversion,[],[f325]) ).
cnf(s14,plain,
( ~ spl55_4
| ~ spl55_9
| spl55_12
| ~ spl55_14 ),
inference(sat_conversion,[],[f331]) ).
cnf(s17,plain,
( ~ spl55_1
| ~ spl55_9
| ~ spl55_13
| ~ spl55_17 ),
inference(sat_conversion,[],[f345]) ).
cnf(s19,plain,
( ~ spl55_3
| ~ spl55_9
| spl55_14
| spl55_19 ),
inference(sat_conversion,[],[f355]) ).
cnf(s20,plain,
( ~ spl55_8
| spl55_20 ),
inference(sat_conversion,[],[f360]) ).
cnf(s21,plain,
( ~ spl55_10
| spl55_21 ),
inference(sat_conversion,[],[f364]) ).
cnf(s22,plain,
( ~ spl55_2
| ~ spl55_9
| ~ spl55_19
| ~ spl55_22 ),
inference(sat_conversion,[],[f369]) ).
cnf(s23,plain,
( ~ spl55_6
| ~ spl55_9
| spl55_17
| ~ spl55_23 ),
inference(sat_conversion,[],[f374]) ).
cnf(s24,plain,
spl55_24,
inference(sat_conversion,[],[f378]) ).
cnf(s25,plain,
spl55_25,
inference(sat_conversion,[],[f382]) ).
cnf(s26,plain,
spl55_26,
inference(sat_conversion,[],[f388]) ).
cnf(s29,plain,
spl55_29,
inference(sat_conversion,[],[f406]) ).
cnf(s34,plain,
spl55_34,
inference(sat_conversion,[],[f431]) ).
cnf(s36,plain,
( ~ spl55_11
| spl55_36 ),
inference(sat_conversion,[],[f442]) ).
cnf(s43,plain,
spl55_43,
inference(sat_conversion,[],[f496]) ).
cnf(s46,plain,
( ~ spl55_26
| spl55_46 ),
inference(sat_conversion,[],[f510]) ).
cnf(s54,plain,
spl55_54,
inference(sat_conversion,[],[f555]) ).
cnf(s56,plain,
( ~ spl55_29
| spl55_56 ),
inference(sat_conversion,[],[f564]) ).
cnf(s59,plain,
spl55_59,
inference(sat_conversion,[],[f596]) ).
cnf(s62,plain,
spl55_62,
inference(sat_conversion,[],[f612]) ).
cnf(s65,plain,
spl55_65,
inference(sat_conversion,[],[f626]) ).
cnf(s74,plain,
( ~ spl55_43
| spl55_74 ),
inference(sat_conversion,[],[f696]) ).
cnf(s78,plain,
spl55_78,
inference(sat_conversion,[],[f749]) ).
cnf(s80,plain,
spl55_80,
inference(sat_conversion,[],[f759]) ).
cnf(s88,plain,
spl55_88,
inference(sat_conversion,[],[f806]) ).
cnf(s91,plain,
spl55_91,
inference(sat_conversion,[],[f832]) ).
cnf(s93,plain,
( ~ spl55_24
| ~ spl55_25
| spl55_93 ),
inference(sat_conversion,[],[f840]) ).
cnf(s95,plain,
( ~ spl55_24
| ~ spl55_34
| spl55_95 ),
inference(sat_conversion,[],[f861]) ).
cnf(s107,plain,
spl55_107,
inference(sat_conversion,[],[f996]) ).
cnf(s108,plain,
spl55_108,
inference(sat_conversion,[],[f1000]) ).
cnf(s110,plain,
spl55_110,
inference(sat_conversion,[],[f1012]) ).
cnf(s112,plain,
spl55_112,
inference(sat_conversion,[],[f1024]) ).
cnf(s149,plain,
( spl55_22
| spl55_23
| ~ spl55_24
| ~ spl55_59
| spl55_149 ),
inference(sat_conversion,[],[f1438]) ).
cnf(s151,plain,
( ~ spl55_9
| ~ spl55_108
| ~ spl55_149
| spl55_151 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s159,plain,
( ~ spl55_36
| ~ spl55_91
| ~ spl55_151
| spl55_159 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s163,plain,
( ~ spl55_74
| ~ spl55_107
| ~ spl55_159
| spl55_163 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s164,plain,
( ~ spl55_9
| ~ spl55_78
| ~ spl55_163
| ~ spl55_164 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s168,plain,
( ~ spl55_62
| ~ spl55_95
| spl55_164
| spl55_168 ),
inference(sat_conversion,[],[f1693]) ).
cnf(s170,plain,
( ~ spl55_9
| ~ spl55_65
| ~ spl55_168
| ~ spl55_170 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s171,plain,
( ~ spl55_56
| ~ spl55_80
| spl55_170
| spl55_171 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s173,plain,
( ~ spl55_54
| ~ spl55_93
| ~ spl55_171
| spl55_173 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s175,plain,
( ~ spl55_9
| ~ spl55_108
| ~ spl55_173
| spl55_175 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s184,plain,
( ~ spl55_36
| ~ spl55_91
| ~ spl55_175
| spl55_184 ),
inference(sat_conversion,[],[f1918]) ).
cnf(s185,plain,
( ~ spl55_74
| ~ spl55_107
| ~ spl55_184
| spl55_185 ),
inference(sat_conversion,[],[f1927]) ).
cnf(s186,plain,
( ~ spl55_9
| ~ spl55_78
| ~ spl55_185
| ~ spl55_186 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s190,plain,
( ~ spl55_62
| ~ spl55_95
| spl55_186
| spl55_190 ),
inference(sat_conversion,[],[f1991]) ).
cnf(s192,plain,
( ~ spl55_9
| ~ spl55_65
| ~ spl55_190
| ~ spl55_192 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s193,plain,
( ~ spl55_56
| ~ spl55_80
| spl55_192
| spl55_193 ),
inference(sat_conversion,[],[f2039]) ).
cnf(s194,plain,
( ~ spl55_54
| ~ spl55_93
| ~ spl55_193
| spl55_194 ),
inference(sat_conversion,[],[f2056]) ).
cnf(s200,plain,
( ~ spl55_21
| ~ spl55_110
| ~ spl55_194
| spl55_200 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s226,plain,
( ~ spl55_20
| ~ spl55_88
| ~ spl55_200
| spl55_226 ),
inference(sat_conversion,[],[f2398]) ).
cnf(s228,plain,
( ~ spl55_9
| ~ spl55_46
| ~ spl55_112
| ~ spl55_226 ),
inference(sat_conversion,[],[f2407]) ).
cnf(s229,plain,
spl55_74,
inference(rat,[],[s74,s43]) ).
cnf(s231,plain,
spl55_56,
inference(rat,[],[s56,s29]) ).
cnf(s233,plain,
spl55_46,
inference(rat,[],[s46,s26]) ).
cnf(s234,plain,
spl55_95,
inference(rat,[],[s95,s34,s24]) ).
cnf(s235,plain,
spl55_93,
inference(rat,[],[s93,s25,s24]) ).
cnf(s239,plain,
spl55_36,
inference(rat,[],[s36,s11]) ).
cnf(s242,plain,
spl55_21,
inference(rat,[],[s21,s10]) ).
cnf(s244,plain,
~ spl55_226,
inference(rat,[],[s228,s233,s112,s9]) ).
cnf(s250,plain,
spl55_20,
inference(rat,[],[s20,s8]) ).
cnf(s251,plain,
~ spl55_200,
inference(rat,[],[s226,s244,s88,s250]) ).
cnf(s253,plain,
~ spl55_194,
inference(rat,[],[s200,s242,s110,s251]) ).
cnf(s254,plain,
~ spl55_193,
inference(rat,[],[s194,s235,s54,s253]) ).
cnf(s255,plain,
spl55_192,
inference(rat,[],[s193,s231,s80,s254]) ).
cnf(s256,plain,
~ spl55_190,
inference(rat,[],[s192,s9,s65,s255]) ).
cnf(s257,plain,
spl55_186,
inference(rat,[],[s190,s234,s62,s256]) ).
cnf(s258,plain,
~ spl55_185,
inference(rat,[],[s186,s9,s78,s257]) ).
cnf(s259,plain,
~ spl55_184,
inference(rat,[],[s185,s229,s107,s258]) ).
cnf(s260,plain,
~ spl55_175,
inference(rat,[],[s184,s239,s91,s259]) ).
cnf(s261,plain,
~ spl55_173,
inference(rat,[],[s175,s9,s108,s260]) ).
cnf(s262,plain,
~ spl55_171,
inference(rat,[],[s173,s235,s54,s261]) ).
cnf(s263,plain,
spl55_170,
inference(rat,[],[s171,s231,s80,s262]) ).
cnf(s264,plain,
~ spl55_168,
inference(rat,[],[s170,s9,s65,s263]) ).
cnf(s265,plain,
spl55_164,
inference(rat,[],[s168,s234,s62,s264]) ).
cnf(s266,plain,
~ spl55_163,
inference(rat,[],[s164,s9,s78,s265]) ).
cnf(s267,plain,
~ spl55_159,
inference(rat,[],[s163,s229,s107,s266]) ).
cnf(s268,plain,
~ spl55_151,
inference(rat,[],[s159,s239,s91,s267]) ).
cnf(s269,plain,
~ spl55_149,
inference(rat,[],[s151,s9,s108,s268]) ).
cnf(s271,plain,
spl55_13,
inference(rat,[],[s13,s9,s7]) ).
cnf(s273,plain,
~ spl55_12,
inference(rat,[],[s12,s9,s5]) ).
cnf(s277,plain,
~ spl55_14,
inference(rat,[],[s14,s273,s9,s4]) ).
cnf(s285,plain,
spl55_19,
inference(rat,[],[s19,s277,s9,s3]) ).
cnf(s301,plain,
~ spl55_22,
inference(rat,[],[s22,s285,s9,s2]) ).
cnf(s316,plain,
spl55_23,
inference(rat,[],[s149,s269,s59,s24,s301]) ).
cnf(s319,plain,
spl55_17,
inference(rat,[],[s23,s6,s9,s316]) ).
cnf(s320,plain,
~ spl55_1,
inference(rat,[],[s17,s271,s9,s319]) ).
cnf(s321,plain,
$false,
inference(rat,[],[s1,s320]) ).
fof(f2408,plain,
$false,
inference(avatar_sat_refutation,[],[s321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN057+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:51:45 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/2.41 % (2435501)Detected formulas, will run a generic FOF schedule.
% 10.98/2.41 % (2435509)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1144487420:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.98/2.41 % (2435509)Instruction limit reached!
% 10.98/2.41 % (2435509)------------------------------
% 10.98/2.41 % (2435509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/2.41 % (2435509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/2.41 % (2435509)CaDiCaL version: 2.1.3
% 10.98/2.41 % (2435509)Termination reason: Instruction limit
% 10.98/2.41 % (2435509)Termination phase: Saturation
% 10.98/2.41 % (2435509)Time elapsed: 0.031 s
% 10.98/2.41 % (2435509)Peak memory usage: 89 MB
% 10.98/2.41 % (2435509)Instructions burned: 110 (million)
% 10.98/2.41 % (2435508)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2824200703:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.98/2.41 % (2435507)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3612029667:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.98/2.41 % (2435506)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=406049429:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.98/2.41 % (2435512)dis-21_1_sil=8000:lcm=predicate:random_seed=1790117404:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.98/2.41 % (2435511)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=491175122:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.98/2.41 % (2435510)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2064908537:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.98/2.41 % (2435512)Instruction limit reached!
% 10.98/2.41 % (2435512)------------------------------
% 10.98/2.41 % (2435512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/2.41 % (2435512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/2.41 % (2435512)CaDiCaL version: 2.1.3
% 10.98/2.41 % (2435512)Termination reason: Instruction limit
% 10.98/2.41 % (2435512)Termination phase: Saturation
% 10.98/2.41 % (2435512)Time elapsed: 0.061 s
% 10.98/2.41 % (2435512)Peak memory usage: 88 MB
% 10.98/2.41 % (2435512)Instructions burned: 129 (million)
% 10.98/2.41 % (2435511)Instruction limit reached!
% 10.98/2.41 % (2435511)------------------------------
% 10.98/2.41 % (2435511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/2.41 % (2435511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/2.41 % (2435511)CaDiCaL version: 2.1.3
% 10.98/2.41 % (2435511)Termination reason: Instruction limit
% 10.98/2.41 % (2435511)Termination phase: Saturation
% 10.98/2.41 % (2435511)Time elapsed: 0.075 s
% 10.98/2.41 % (2435511)Peak memory usage: 88 MB
% 10.98/2.41 % (2435511)Instructions burned: 140 (million)
% 10.98/2.41 % (2435510)Instruction limit reached!
% 10.98/2.41 % (2435510)------------------------------
% 10.98/2.41 % (2435510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/2.41 % (2435510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/2.41 % (2435510)CaDiCaL version: 2.1.3
% 10.98/2.41 % (2435510)Termination reason: Instruction limit
% 10.98/2.41 % (2435510)Termination phase: Saturation
% 10.98/2.41 % (2435510)Time elapsed: 0.068 s
% 10.98/2.41 % (2435510)Peak memory usage: 88 MB
% 10.98/2.41 % (2435510)Instructions burned: 119 (million)
% 10.98/2.41 % (2435514)lrs+10_1_sil=8000:sp=occurrence:random_seed=320697523:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.98/2.41 % (2435514)Instruction limit reached!
% 10.98/2.41 % (2435514)------------------------------
% 10.98/2.41 % (2435514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/2.41 % (2435514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/2.41 % (2435514)CaDiCaL version: 2.1.3
% 10.98/2.41 % (2435514)Termination reason: Instruction limit
% 10.98/2.41 % (2435514)Termination phase: Saturation
% 10.98/2.41 % (2435514)Time elapsed: 0.096 s
% 10.98/2.41 % (2435514)Peak memory usage: 91 MB
% 10.98/2.41 % (2435514)Instructions burned: 288 (million)
% 17.79/3.49 % (2435521)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4234865302:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.79/3.49 % (2435522)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2518412169:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.79/3.49 % (2435523)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1436815555:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 17.79/3.49 % (2435521)Instruction limit reached!
% 17.79/3.49 % (2435521)------------------------------
% 17.79/3.49 % (2435521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435521)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435521)Termination reason: Instruction limit
% 17.79/3.49 % (2435521)Termination phase: Saturation
% 17.79/3.49 % (2435521)Time elapsed: 0.077 s
% 17.79/3.49 % (2435521)Peak memory usage: 90 MB
% 17.79/3.49 % (2435521)Instructions burned: 158 (million)
% 17.79/3.49 % (2435525)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2072016290:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 17.79/3.49 % (2435523)Instruction limit reached!
% 17.79/3.49 % (2435523)------------------------------
% 17.79/3.49 % (2435523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435523)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435523)Termination reason: Instruction limit
% 17.79/3.49 % (2435523)Termination phase: Saturation
% 17.79/3.49 % (2435523)Time elapsed: 0.115 s
% 17.79/3.49 % (2435523)Peak memory usage: 91 MB
% 17.79/3.49 % (2435523)Instructions burned: 250 (million)
% 17.79/3.49 % (2435525)Instruction limit reached!
% 17.79/3.49 % (2435525)------------------------------
% 17.79/3.49 % (2435525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435525)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435525)Termination reason: Instruction limit
% 17.79/3.49 % (2435525)Termination phase: Saturation
% 17.79/3.49 % (2435525)Time elapsed: 0.078 s
% 17.79/3.49 % (2435525)Peak memory usage: 88 MB
% 17.79/3.49 % (2435525)Instructions burned: 297 (million)
% 17.79/3.49 % (2435522)Instruction limit reached!
% 17.79/3.49 % (2435522)------------------------------
% 17.79/3.49 % (2435522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435522)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435522)Termination reason: Instruction limit
% 17.79/3.49 % (2435522)Termination phase: Saturation
% 17.79/3.49 % (2435522)Time elapsed: 0.196 s
% 17.79/3.49 % (2435522)Peak memory usage: 91 MB
% 17.79/3.49 % (2435522)Instructions burned: 327 (million)
% 17.79/3.49 % (2435529)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=967258417:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.79/3.49 % (2435532)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3591918392:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.79/3.49 % (2435531)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1814221932:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.79/3.49 % (2435532)Instruction limit reached!
% 17.79/3.49 % (2435532)------------------------------
% 17.79/3.49 % (2435532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435532)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435532)Termination reason: Instruction limit
% 17.79/3.49 % (2435532)Termination phase: Saturation
% 17.79/3.49 % (2435532)Time elapsed: 0.038 s
% 17.79/3.49 % (2435532)Peak memory usage: 89 MB
% 17.79/3.49 % (2435532)Instructions burned: 129 (million)
% 17.79/3.49 % (2435531)Instruction limit reached!
% 17.79/3.49 % (2435531)------------------------------
% 17.79/3.49 % (2435531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435531)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435531)Termination reason: Instruction limit
% 17.79/3.49 % (2435531)Termination phase: Saturation
% 17.79/3.49 % (2435531)Time elapsed: 0.056 s
% 17.79/3.49 % (2435531)Peak memory usage: 88 MB
% 17.79/3.49 % (2435531)Instructions burned: 114 (million)
% 17.79/3.49 % (2435534)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=363695684:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 17.79/3.49 % (2435534)Instruction limit reached!
% 17.79/3.49 % (2435534)------------------------------
% 17.79/3.49 % (2435534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435534)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435534)Termination reason: Instruction limit
% 17.79/3.49 % (2435534)Termination phase: Saturation
% 17.79/3.49 % (2435534)Time elapsed: 0.071 s
% 17.79/3.49 % (2435534)Peak memory usage: 89 MB
% 17.79/3.49 % (2435534)Instructions burned: 115 (million)
% 17.79/3.49 % (2435537)lrs+10_1_sil=8000:sp=occurrence:random_seed=242450465:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 17.79/3.49 % (2435538)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=638341841:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 17.79/3.49 % (2435541)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=108349708:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 17.79/3.49 % (2435538)Instruction limit reached!
% 17.79/3.49 % (2435538)------------------------------
% 17.79/3.49 % (2435538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435538)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435538)Termination reason: Instruction limit
% 17.79/3.49 % (2435538)Termination phase: Saturation
% 17.79/3.49 % (2435538)Time elapsed: 0.226 s
% 17.79/3.49 % (2435538)Peak memory usage: 90 MB
% 17.79/3.49 % (2435538)Instructions burned: 439 (million)
% 17.79/3.49 % (2435537)Instruction limit reached!
% 17.79/3.49 % (2435537)------------------------------
% 17.79/3.49 % (2435537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435537)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435537)Termination reason: Instruction limit
% 17.79/3.49 % (2435537)Termination phase: Saturation
% 17.79/3.49 % (2435537)Time elapsed: 0.296 s
% 17.79/3.49 % (2435537)Peak memory usage: 95 MB
% 17.79/3.49 % (2435537)Instructions burned: 907 (million)
% 17.79/3.49 % (2435544)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=920816334:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 17.79/3.49 % (2435545)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2188312593:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 17.79/3.49 % (2435544)Instruction limit reached!
% 17.79/3.49 % (2435544)------------------------------
% 17.79/3.49 % (2435544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435544)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435544)Termination reason: Instruction limit
% 17.79/3.49 % (2435544)Termination phase: Saturation
% 17.79/3.49 % (2435544)Time elapsed: 0.069 s
% 17.79/3.49 % (2435544)Peak memory usage: 91 MB
% 17.79/3.49 % (2435544)Instructions burned: 135 (million)
% 17.79/3.49 % (2435545)Instruction limit reached!
% 17.79/3.49 % (2435545)------------------------------
% 17.79/3.49 % (2435545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435545)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435545)Termination reason: Instruction limit
% 17.79/3.49 % (2435545)Termination phase: Saturation
% 17.79/3.49 % (2435545)Time elapsed: 0.150 s
% 17.79/3.49 % (2435545)Peak memory usage: 92 MB
% 17.79/3.49 % (2435545)Instructions burned: 593 (million)
% 17.79/3.49 % (2435548)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2659044496:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 17.79/3.49 % (2435549)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3591625266:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 17.79/3.49 % (2435549)Instruction limit reached!
% 17.79/3.49 % (2435549)------------------------------
% 17.79/3.49 % (2435549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435549)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435549)Termination reason: Instruction limit
% 17.79/3.49 % (2435549)Termination phase: Saturation
% 17.79/3.49 % (2435549)Time elapsed: 0.036 s
% 17.79/3.49 % (2435549)Peak memory usage: 90 MB
% 17.79/3.49 % (2435549)Instructions burned: 129 (million)
% 17.79/3.49 % (2435552)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=45249361:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 17.79/3.49 % (2435552)Instruction limit reached!
% 17.79/3.49 % (2435552)------------------------------
% 17.79/3.49 % (2435552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435552)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435552)Termination reason: Instruction limit
% 17.79/3.49 % (2435552)Termination phase: Saturation
% 17.79/3.49 % (2435552)Time elapsed: 0.048 s
% 17.79/3.49 % (2435552)Peak memory usage: 90 MB
% 17.79/3.49 % (2435552)Instructions burned: 137 (million)
% 17.79/3.49 % (2435554)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2292833425:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 17.79/3.49 % (2435554)Refutation not found, incomplete strategy
% 17.79/3.49 % (2435554)------------------------------
% 17.79/3.49 % (2435554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435554)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435554)Termination reason: Refutation not found, incomplete strategy
% 17.79/3.49 % (2435554)Time elapsed: 0.002 s
% 17.79/3.49 % (2435554)Peak memory usage: 88 MB
% 17.79/3.49 % (2435554)Instructions burned: 3 (million)
% 17.79/3.49 % (2435554)------------------------------
% 17.79/3.49 % (2435554)------------------------------
% 17.79/3.49 % (2435529)Instruction limit reached!
% 17.79/3.49 % (2435529)------------------------------
% 17.79/3.49 % (2435529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435529)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435529)Termination reason: Instruction limit
% 17.79/3.49 % (2435529)Termination phase: Saturation
% 17.79/3.49 % (2435529)Time elapsed: 1.553 s
% 17.79/3.49 % (2435529)Peak memory usage: 140 MB
% 17.79/3.49 % (2435529)Instructions burned: 2350 (million)
% 17.79/3.49 % (2435556)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1205197273:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 17.79/3.49 % (2435556)Instruction limit reached!
% 17.79/3.49 % (2435556)------------------------------
% 17.79/3.49 % (2435556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.79/3.49 % (2435556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.79/3.49 % (2435556)CaDiCaL version: 2.1.3
% 17.79/3.49 % (2435556)Termination reason: Instruction limit
% 17.79/3.49 % (2435556)Termination phase: Saturation
% 17.79/3.49 % (2435556)Time elapsed: 0.139 s
% 17.79/3.49 % (2435556)Peak memory usage: 92 MB
% 17.79/3.49 % (2435556)Instructions burned: 432 (million)
% 17.79/3.49 % (2435557)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2879293139:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 17.79/3.49 % (2435559)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2129400878:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 17.79/3.49 % (2435559)First to succeed.
% 17.79/3.49 % (2435559)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2435501"
% 17.79/3.49 % (2435559)Refutation found. Thanks to Tanya!
% 17.79/3.49 % SZS status Theorem for theBenchmark
% 17.79/3.49 % SZS output start Proof for theBenchmark
% See solution above
% 19.06/3.59 % (2435559)------------------------------
% 19.06/3.59 % (2435559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.06/3.59 % (2435559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.06/3.59 % (2435559)CaDiCaL version: 2.1.3
% 19.06/3.59 % (2435559)Termination reason: Refutation
% 19.06/3.59 % (2435559)Time elapsed: 0.025 s
% 19.06/3.59 % (2435559)Peak memory usage: 91 MB
% 19.06/3.59 % (2435559)Instructions burned: 65 (million)
% 19.06/3.59 % (2435559)------------------------------
% 19.06/3.59 % (2435559)------------------------------
% 19.06/3.59 % (2435501)Success in time 2.627 s
% 19.06/3.59 % Vampire exiting
%------------------------------------------------------------------------------