TSTP Solution File: NUN081+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN081+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_uns --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 18:07:47 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 125 ( 35 ~; 25 |; 59 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 115 ( 62 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(resolution,[],[f165,f100]) ).
fof(f100,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( r1(sK6(X0))
& r3(X0,sK6(X0),sK5(X0))
& id(sK5(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f38,f54,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& id(X1,X0) )
=> ( ? [X2] :
( r1(X2)
& r3(X0,X2,sK5(X0)) )
& id(sK5(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK5(X0)) )
=> ( r1(sK6(X0))
& r3(X0,sK6(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f165,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f163,f109]) ).
fof(f109,plain,
! [X0,X1] : r2(X0,sK13(X0,X1)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( r4(X1,X0,sK11(X0,X1))
& r3(sK11(X0,X1),X1,sK10(X0,X1))
& r4(X1,sK13(X0,X1),sK12(X0,X1))
& r2(X0,sK13(X0,X1))
& id(sK12(X0,X1),sK10(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f62,f66,f65,f64,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK10(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK10(X0,X1)) )
=> ( r4(X1,X0,sK11(X0,X1))
& r3(sK11(X0,X1),X1,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,sK10(X0,X1)) )
=> ( ? [X5] :
( r4(X1,X5,sK12(X0,X1))
& r2(X0,X5) )
& id(sK12(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X5,sK12(X0,X1))
& r2(X0,X5) )
=> ( r4(X1,sK13(X0,X1),sK12(X0,X1))
& r2(X0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,X2) )
& ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& id(X3,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X44,X43] :
? [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/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f163,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f161,f109]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f149,f109]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| ~ r1(X0)
| ~ r2(X0,X1)
| ~ r2(X1,X2) ),
inference(resolution,[],[f148,f98]) ).
fof(f98,plain,
! [X0] : id(sK5(X0),X0),
inference(cnf_transformation,[],[f55]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4] :
( ~ id(sK5(X2),X3)
| ~ r2(X0,X1)
| ~ r2(X4,X3)
| ~ r2(X1,X4)
| ~ r1(X0) ),
inference(resolution,[],[f99,f106]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X2,X0,X1)
| ~ r2(X6,X5)
| ~ id(X1,X3)
| ~ r1(X6)
| ~ r2(X4,X3)
| ~ r2(X5,X4) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ r3(X2,X0,X1)
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r1(X6)
| ~ r2(X6,X5) ) ) )
| ~ id(X1,X3) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1] :
( ~ r3(X1,X0,X2)
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r1(X6)
| ~ r2(X6,X5) ) ) )
| ~ id(X2,X3) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ? [X0,X1,X2] :
( r3(X1,X0,X2)
& ? [X3] :
( id(X2,X3)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r1(X6)
& r2(X6,X5) ) ) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X45,X62,X46] :
( r3(X62,X45,X46)
& ? [X39] :
( ? [X40] :
( r2(X40,X39)
& ? [X48] :
( r2(X48,X40)
& ? [X42] :
( r1(X42)
& r2(X42,X48) ) ) )
& id(X46,X39) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X45,X62,X46] :
( r3(X62,X45,X46)
& ? [X39] :
( ? [X40] :
( r2(X40,X39)
& ? [X48] :
( r2(X48,X40)
& ? [X42] :
( r1(X42)
& r2(X42,X48) ) ) )
& id(X46,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplusyidthree) ).
fof(f99,plain,
! [X0] : r3(X0,sK6(X0),sK5(X0)),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN081+1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 09:59:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (24148)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50 % (24160)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (24163)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.50 % (24152)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (24160)First to succeed.
% 0.19/0.50 % (24152)Instruction limit reached!
% 0.19/0.50 % (24152)------------------------------
% 0.19/0.50 % (24152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24152)Termination reason: Unknown
% 0.19/0.50 % (24152)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (24152)Memory used [KB]: 1535
% 0.19/0.50 % (24152)Time elapsed: 0.004 s
% 0.19/0.50 % (24152)Instructions burned: 3 (million)
% 0.19/0.50 % (24152)------------------------------
% 0.19/0.50 % (24152)------------------------------
% 0.19/0.50 % (24144)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (24160)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (24160)------------------------------
% 0.19/0.50 % (24160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24160)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (24160)Memory used [KB]: 6012
% 0.19/0.50 % (24160)Time elapsed: 0.053 s
% 0.19/0.50 % (24160)Instructions burned: 3 (million)
% 0.19/0.50 % (24160)------------------------------
% 0.19/0.50 % (24160)------------------------------
% 0.19/0.50 % (24137)Success in time 0.155 s
%------------------------------------------------------------------------------