TSTP Solution File: NUN060+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN060+1 : 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 : n008.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 18:08:01 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 204 ( 53 ~; 38 |; 102 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 182 ( 100 !; 82 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(resolution,[],[f151,f139]) ).
fof(f139,plain,
r1(sK7(sK3)),
inference(resolution,[],[f86,f110]) ).
fof(f110,plain,
! [X0] : id(sK7(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( r1(sK8(X0))
& r3(X0,sK8(X0),sK7(X0))
& id(sK7(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f23,f58,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& id(X1,X0) )
=> ( ? [X2] :
( r1(X2)
& r3(X0,X2,sK7(X0)) )
& id(sK7(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK7(X0)) )
=> ( r1(sK8(X0))
& r3(X0,sK8(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r1(X55)
& r3(X53,X55,X54) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f86,plain,
! [X1] :
( ~ id(X1,sK3)
| r1(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1] :
( ( ~ id(X1,sK3)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f44]) ).
fof(f44,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK3)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f151,plain,
! [X1] : ~ r1(X1),
inference(resolution,[],[f148,f131]) ).
fof(f131,plain,
! [X0,X1] : r2(X0,sK18(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( r4(X1,sK18(X0,X1),sK17(X0,X1))
& r2(X0,sK18(X0,X1))
& id(sK17(X0,X1),sK16(X0,X1))
& r3(sK19(X0,X1),X1,sK16(X0,X1))
& r4(X1,X0,sK19(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f71,f75,f74,f73,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& id(X3,X2) )
& ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) ) )
=> ( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& id(X3,sK16(X0,X1)) )
& ? [X5] :
( r3(X5,X1,sK16(X0,X1))
& r4(X1,X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& id(X3,sK16(X0,X1)) )
=> ( ? [X4] :
( r4(X1,X4,sK17(X0,X1))
& r2(X0,X4) )
& id(sK17(X0,X1),sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X4] :
( r4(X1,X4,sK17(X0,X1))
& r2(X0,X4) )
=> ( r4(X1,sK18(X0,X1),sK17(X0,X1))
& r2(X0,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X5] :
( r3(X5,X1,sK16(X0,X1))
& r4(X1,X0,X5) )
=> ( r3(sK19(X0,X1),X1,sK16(X0,X1))
& r4(X1,X0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& id(X3,X2) )
& ? [X5] :
( r3(X5,X1,X2)
& r4(X1,X0,X5) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r4(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) )
& ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X46] :
( ? [X47] :
( r2(X44,X47)
& r4(X43,X47,X46) )
& id(X46,X45) )
& ? [X48] :
( r3(X48,X43,X45)
& r4(X43,X44,X48) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ r2(sK12(X1,X0),X2)
| ~ r1(X0) ),
inference(resolution,[],[f146,f114]) ).
fof(f114,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( r2(sK10(X0,X1),sK9(X0,X1))
& r3(X0,X1,sK10(X0,X1))
& r3(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1))
& id(sK11(X0,X1),sK9(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f60,f64,f63,f62,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r2(X3,sK9(X0,X1))
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X3] :
( r2(X3,sK9(X0,X1))
& r3(X0,X1,X3) )
=> ( r2(sK10(X0,X1),sK9(X0,X1))
& r3(X0,X1,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
& id(sK11(X0,X1),sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) )
& ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X40] :
( id(X40,X39)
& ? [X41] :
( r2(X38,X41)
& r3(X37,X41,X40) ) )
& ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ r2(X2,X0)
| ~ r1(X2)
| ~ r2(X0,X1) ),
inference(resolution,[],[f144,f114]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(sK12(X0,X1),X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r1(X4) ),
inference(resolution,[],[f142,f114]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X4,X2)
| ~ r2(X2,X3)
| ~ r2(X1,X4)
| ~ r1(X0)
| ~ r2(X0,X1) ),
inference(resolution,[],[f141,f99]) ).
fof(f99,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f141,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK10(X0,X1),X2)
| ~ r1(X5)
| ~ r2(X5,X3)
| ~ r2(X6,X1)
| ~ r2(X4,X6)
| ~ r2(X3,X4) ),
inference(resolution,[],[f116,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X0,X3,X1)
| ~ id(X1,X2)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X5,X4)
| ~ r2(X4,X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) ) )
| ~ r2(X4,X3) )
| ~ r3(X0,X3,X1) )
| ~ id(X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) ) )
| ~ r2(X4,X3) )
| ~ r3(X0,X3,X2) )
| ~ id(X2,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ? [X1,X2,X0] :
( id(X2,X1)
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r1(X7)
& r2(X7,X6) )
& r2(X6,X5) )
& r2(X5,X4) )
& r2(X4,X3) )
& r3(X0,X3,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X45,X62,X46] :
( ? [X39] :
( r3(X45,X39,X46)
& ? [X40] :
( r2(X40,X39)
& ? [X48] :
( r2(X48,X40)
& ? [X42] :
( ? [X57] :
( r1(X57)
& r2(X57,X42) )
& r2(X42,X48) ) ) ) )
& id(X46,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X45,X62,X46] :
( ? [X39] :
( r3(X45,X39,X46)
& ? [X40] :
( r2(X40,X39)
& ? [X48] :
( r2(X48,X40)
& ? [X42] :
( ? [X57] :
( r1(X57)
& r2(X57,X42) )
& r2(X42,X48) ) ) ) )
& id(X46,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4id) ).
fof(f116,plain,
! [X0,X1] : r3(X0,X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:46:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.48 % (31291)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.48 % (31274)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50 % (31283)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.51 % (31283)First to succeed.
% 0.21/0.51 % (31263)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51 % (31265)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (31277)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)
% 0.21/0.52 % (31283)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (31283)------------------------------
% 0.21/0.52 % (31283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (31283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (31283)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (31283)Memory used [KB]: 5500
% 0.21/0.52 % (31283)Time elapsed: 0.117 s
% 0.21/0.52 % (31283)Instructions burned: 5 (million)
% 0.21/0.52 % (31283)------------------------------
% 0.21/0.52 % (31283)------------------------------
% 0.21/0.52 % (31262)Success in time 0.165 s
%------------------------------------------------------------------------------