TSTP Solution File: NUN086+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:08:10 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 108 ( 47 unt; 3 typ; 0 def)
% Number of atoms : 301 ( 91 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 288 ( 92 ~; 60 |; 123 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-2 aty)
% Number of variables : 252 ( 176 !; 76 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ21_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_7,type,
sQ22_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_8,type,
sQ23_eqProxy: ( $real * $real ) > $o ).
fof(f355,plain,
$false,
inference(subsumption_resolution,[],[f354,f151]) ).
fof(f151,plain,
r1(sK3),
inference(literal_reordering,[],[f105]) ).
fof(f105,plain,
r1(sK3),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X1] :
( sK3 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1] :
( ( ~ r1(X1)
& sK3 != X1 )
| ( r1(X1)
& sK3 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f31]) ).
fof(f31,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK3 != X1 )
| ( r1(X1)
& sK3 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f354,plain,
~ r1(sK3),
inference(resolution,[],[f353,f139]) ).
fof(f139,plain,
! [X0] : r2(X0,sK11(X0)),
inference(literal_reordering,[],[f112]) ).
fof(f112,plain,
! [X0] : r2(X0,sK11(X0)),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X2,X0] :
( sK11(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X2] :
( ( sK11(X0) != X2
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& sK11(X0) = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f18,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& X1 = X2 ) )
=> ! [X2] :
( ( sK11(X0) != X2
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& sK11(X0) = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 != X2
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& X1 = X2 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( ~ r2(X2,X4)
& X3 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f353,plain,
! [X0] :
( ~ r2(X0,sK11(sK3))
| ~ r1(X0) ),
inference(subsumption_resolution,[],[f352,f151]) ).
fof(f352,plain,
! [X0] :
( ~ r2(X0,sK11(sK3))
| ~ r1(sK3)
| ~ r1(X0) ),
inference(duplicate_literal_removal,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(sK3)
| ~ r1(sK3)
| ~ r2(X0,sK11(sK3)) ),
inference(resolution,[],[f340,f146]) ).
fof(f146,plain,
! [X2,X3,X1,X4] :
( ~ r4(X3,X2,X1)
| ~ r1(X1)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r1(X3) ),
inference(literal_reordering,[],[f108]) ).
fof(f108,plain,
! [X2,X3,X1,X4] :
( ~ r1(X3)
| ~ r2(X4,X2)
| ~ r4(X3,X2,X1)
| ~ r1(X1)
| ~ r1(X4) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X1)
| X0 != X1
| ~ r4(X3,X2,X0)
| ~ r1(X3)
| ~ r2(X4,X2)
| ~ r1(X4) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ~ r1(X1)
| X0 != X1 )
| ! [X2] :
( ! [X3] :
( ~ r4(X3,X2,X0)
| ~ r1(X3) )
| ! [X4] :
( ~ r2(X4,X2)
| ~ r1(X4) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X4] :
( ~ r1(X4)
| X0 != X4 )
| ! [X1] :
( ! [X3] :
( ~ r4(X3,X1,X0)
| ~ r1(X3) )
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ? [X0] :
( ? [X1] :
( ? [X3] :
( r1(X3)
& r4(X3,X1,X0) )
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X4] :
( X0 = X4
& r1(X4) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( ? [X22] :
( r2(X22,X21)
& r1(X22) )
& ? [X15] :
( r1(X15)
& r4(X15,X21,X38) ) )
& ? [X16] :
( r1(X16)
& X16 = X38 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( ? [X22] :
( r2(X22,X21)
& r1(X22) )
& ? [X15] :
( r1(X15)
& r4(X15,X21,X38) ) )
& ? [X16] :
( r1(X16)
& X16 = X38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimesoneeqzero) ).
fof(f340,plain,
r4(sK3,sK11(sK3),sK3),
inference(superposition,[],[f334,f268]) ).
fof(f268,plain,
! [X0] : sK19(X0,sK3) = X0,
inference(resolution,[],[f265,f149]) ).
fof(f149,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK19(X0,X1) = X3 ),
inference(literal_reordering,[],[f100]) ).
fof(f100,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK19(X0,X1) = X3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X3] :
( ( ~ r3(X0,X1,X3)
& sK19(X0,X1) != X3 )
| ( r3(X0,X1,X3)
& sK19(X0,X1) = X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f59,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ r3(X0,X1,X3)
& X2 != X3 )
| ( r3(X0,X1,X3)
& X2 = X3 ) )
=> ! [X3] :
( ( ~ r3(X0,X1,X3)
& sK19(X0,X1) != X3 )
| ( r3(X0,X1,X3)
& sK19(X0,X1) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ r3(X0,X1,X3)
& X2 != X3 )
| ( r3(X0,X1,X3)
& X2 = X3 ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( ~ r3(X1,X0,X3)
& X2 != X3 )
| ( r3(X1,X0,X3)
& X2 = X3 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X5] :
? [X7] :
! [X8] :
( ( ~ r3(X5,X6,X8)
& X7 != X8 )
| ( r3(X5,X6,X8)
& X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f265,plain,
! [X0] : r3(X0,sK3,X0),
inference(backward_demodulation,[],[f217,f213]) ).
fof(f213,plain,
! [X2] : sK3 = sK9(X2),
inference(resolution,[],[f119,f130]) ).
fof(f130,plain,
! [X0] : r1(sK9(X0)),
inference(literal_reordering,[],[f77]) ).
fof(f77,plain,
! [X0] : r1(sK9(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( r3(X0,sK9(X0),sK8(X0))
& r1(sK9(X0))
& sK8(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f24,f40,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 )
=> ( ? [X2] :
( r3(X0,X2,sK8(X0))
& r1(X2) )
& sK8(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK8(X0))
& r1(X2) )
=> ( r3(X0,sK9(X0),sK8(X0))
& r1(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( ? [X31] :
( r3(X29,X31,X30)
& r1(X31) )
& X29 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f119,plain,
! [X1] :
( ~ r1(X1)
| sK3 = X1 ),
inference(literal_reordering,[],[f68]) ).
fof(f68,plain,
! [X1] :
( ~ r1(X1)
| sK3 = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f217,plain,
! [X0] : r3(X0,sK9(X0),X0),
inference(forward_demodulation,[],[f138,f120]) ).
fof(f120,plain,
! [X0] : sK8(X0) = X0,
inference(literal_reordering,[],[f76]) ).
fof(f76,plain,
! [X0] : sK8(X0) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f138,plain,
! [X0] : r3(X0,sK9(X0),sK8(X0)),
inference(literal_reordering,[],[f78]) ).
fof(f78,plain,
! [X0] : r3(X0,sK9(X0),sK8(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f334,plain,
! [X1] : r4(X1,sK11(sK3),sK19(sK3,X1)),
inference(superposition,[],[f275,f323]) ).
fof(f323,plain,
! [X0] : sK14(sK3,X0) = sK19(sK3,X0),
inference(resolution,[],[f322,f149]) ).
fof(f322,plain,
! [X0] : r3(sK3,X0,sK14(sK3,X0)),
inference(superposition,[],[f295,f263]) ).
fof(f263,plain,
! [X0] : sK3 = sK10(X0,sK3),
inference(resolution,[],[f262,f147]) ).
fof(f147,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK10(X0,X1) = X3 ),
inference(literal_reordering,[],[f82]) ).
fof(f82,plain,
! [X3,X0,X1] :
( sK10(X0,X1) = X3
| ~ r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X3] :
( ( sK10(X0,X1) != X3
& ~ r4(X0,X1,X3) )
| ( sK10(X0,X1) = X3
& r4(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ( X2 = X3
& r4(X0,X1,X3) ) )
=> ! [X3] :
( ( sK10(X0,X1) != X3
& ~ r4(X0,X1,X3) )
| ( sK10(X0,X1) = X3
& r4(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X0,X1,X3) )
| ( X2 = X3
& r4(X0,X1,X3) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( X2 != X3
& ~ r4(X1,X0,X3) )
| ( X2 = X3
& r4(X1,X0,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X10,X9] :
? [X11] :
! [X12] :
( ( ~ r4(X9,X10,X12)
& X11 != X12 )
| ( X11 = X12
& r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f262,plain,
! [X0] : r4(X0,sK3,sK3),
inference(forward_demodulation,[],[f257,f211]) ).
fof(f211,plain,
! [X1] : sK3 = sK2(X1),
inference(resolution,[],[f119,f131]) ).
fof(f131,plain,
! [X0] : r1(sK2(X0)),
inference(literal_reordering,[],[f63]) ).
fof(f63,plain,
! [X0] : r1(sK2(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( sK0(X0) = sK1(X0)
& r1(sK1(X0))
& r1(sK2(X0))
& r4(X0,sK2(X0),sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f29,f28,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r1(X3)
& r4(X0,X3,X1) ) )
=> ( ? [X2] :
( sK0(X0) = X2
& r1(X2) )
& ? [X3] :
( r1(X3)
& r4(X0,X3,sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X2] :
( sK0(X0) = X2
& r1(X2) )
=> ( sK0(X0) = sK1(X0)
& r1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& r4(X0,X3,sK0(X0)) )
=> ( r1(sK2(X0))
& r4(X0,sK2(X0),sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r1(X3)
& r4(X0,X3,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0] :
? [X1] :
( ? [X3] :
( X1 = X3
& r1(X3) )
& ? [X2] :
( r1(X2)
& r4(X0,X2,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X34] :
( r1(X34)
& r4(X32,X34,X33) )
& ? [X35] :
( X33 = X35
& r1(X35) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f257,plain,
! [X0] : r4(X0,sK2(X0),sK3),
inference(backward_demodulation,[],[f152,f210]) ).
fof(f210,plain,
! [X0] : sK3 = sK1(X0),
inference(resolution,[],[f119,f128]) ).
fof(f128,plain,
! [X0] : r1(sK1(X0)),
inference(literal_reordering,[],[f64]) ).
fof(f64,plain,
! [X0] : r1(sK1(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f152,plain,
! [X0] : r4(X0,sK2(X0),sK1(X0)),
inference(literal_reordering,[],[f102]) ).
fof(f102,plain,
! [X0] : r4(X0,sK2(X0),sK1(X0)),
inference(definition_unfolding,[],[f62,f65]) ).
fof(f65,plain,
! [X0] : sK0(X0) = sK1(X0),
inference(cnf_transformation,[],[f30]) ).
fof(f62,plain,
! [X0] : r4(X0,sK2(X0),sK0(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f295,plain,
! [X0,X1] : r3(sK10(X1,X0),X1,sK14(X0,X1)),
inference(backward_demodulation,[],[f127,f247]) ).
fof(f247,plain,
! [X0,X1] : sK13(X1,X0) = sK10(X0,X1),
inference(resolution,[],[f147,f137]) ).
fof(f137,plain,
! [X0,X1] : r4(X1,X0,sK13(X0,X1)),
inference(literal_reordering,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : r4(X1,X0,sK13(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( r3(sK13(X0,X1),X1,sK12(X0,X1))
& r4(X1,X0,sK13(X0,X1))
& r2(X0,sK15(X0,X1))
& r4(X1,sK15(X0,X1),sK14(X0,X1))
& sK12(X0,X1) = sK14(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f49,f53,f52,f51,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r4(X1,X5,X4) )
& X2 = X4 ) )
=> ( ? [X3] :
( r3(X3,X1,sK12(X0,X1))
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r4(X1,X5,X4) )
& sK12(X0,X1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X3] :
( r3(X3,X1,sK12(X0,X1))
& r4(X1,X0,X3) )
=> ( r3(sK13(X0,X1),X1,sK12(X0,X1))
& r4(X1,X0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r4(X1,X5,X4) )
& sK12(X0,X1) = X4 )
=> ( ? [X5] :
( r2(X0,X5)
& r4(X1,X5,sK14(X0,X1)) )
& sK12(X0,X1) = sK14(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X5] :
( r2(X0,X5)
& r4(X1,X5,sK14(X0,X1)) )
=> ( r2(X0,sK15(X0,X1))
& r4(X1,sK15(X0,X1),sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r4(X1,X5,X4) )
& X2 = X4 ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) )
& ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r4(X1,X4,X3) )
& X2 = X3 ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X20,X19] :
? [X21] :
( ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f127,plain,
! [X0,X1] : r3(sK13(X0,X1),X1,sK14(X0,X1)),
inference(literal_reordering,[],[f104]) ).
fof(f104,plain,
! [X0,X1] : r3(sK13(X0,X1),X1,sK14(X0,X1)),
inference(definition_unfolding,[],[f93,f89]) ).
fof(f89,plain,
! [X0,X1] : sK12(X0,X1) = sK14(X0,X1),
inference(cnf_transformation,[],[f54]) ).
fof(f93,plain,
! [X0,X1] : r3(sK13(X0,X1),X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f275,plain,
! [X0,X1] : r4(X1,sK11(X0),sK14(X0,X1)),
inference(backward_demodulation,[],[f121,f221]) ).
fof(f221,plain,
! [X2,X1] : sK15(X1,X2) = sK11(X1),
inference(resolution,[],[f145,f132]) ).
fof(f132,plain,
! [X0,X1] : r2(X0,sK15(X0,X1)),
inference(literal_reordering,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : r2(X0,sK15(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f145,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK11(X0) = X2 ),
inference(literal_reordering,[],[f85]) ).
fof(f85,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK11(X0) = X2 ),
inference(cnf_transformation,[],[f48]) ).
fof(f121,plain,
! [X0,X1] : r4(X1,sK15(X0,X1),sK14(X0,X1)),
inference(literal_reordering,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : r4(X1,sK15(X0,X1),sK14(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 10:03:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (32603)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (32619)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56 % (32604)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (32611)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (32604)Instruction limit reached!
% 0.20/0.57 % (32604)------------------------------
% 0.20/0.57 % (32604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (32612)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57 TRYING [4]
% 0.20/0.58 % (32611)First to succeed.
% 0.20/0.58 % (32604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (32604)Termination reason: Unknown
% 0.20/0.58 % (32604)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (32604)Memory used [KB]: 5500
% 0.20/0.58 % (32604)Time elapsed: 0.143 s
% 0.20/0.58 % (32604)Instructions burned: 7 (million)
% 0.20/0.58 % (32604)------------------------------
% 0.20/0.58 % (32604)------------------------------
% 0.20/0.58 % (32620)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.59 % (32597)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59 % (32612)Also succeeded, but the first one will report.
% 0.20/0.59 % (32611)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (32611)------------------------------
% 0.20/0.59 % (32611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (32611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (32611)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (32611)Memory used [KB]: 6012
% 0.20/0.59 % (32611)Time elapsed: 0.010 s
% 0.20/0.59 % (32611)Instructions burned: 10 (million)
% 0.20/0.59 % (32611)------------------------------
% 0.20/0.59 % (32611)------------------------------
% 0.20/0.59 % (32595)Success in time 0.231 s
%------------------------------------------------------------------------------