TSTP Solution File: NUN089+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN089+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 : n021.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 18:07:51 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 38 ~; 27 |; 32 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 53 ( 33 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(unit_resulting_resolution,[],[f153,f88,f111,f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ r2(X1,X0)
| ~ id(X2,X0)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ id(X2,X0)
| ~ r1(X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f111,plain,
r2(sK9,sK8),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( r2(sK9,sK8)
& r2(sK10,sK9)
& r1(sK10)
& id(sK11,sK8)
& r1(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f55,f59,f58,f57,f56]) ).
fof(f56,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,X0)
& r1(X3) ) )
=> ( ? [X1] :
( r2(X1,sK8)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,sK8)
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X1] :
( r2(X1,sK8)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
=> ( r2(sK9,sK8)
& ? [X2] :
( r2(X2,sK9)
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X2] :
( r2(X2,sK9)
& r1(X2) )
=> ( r2(sK10,sK9)
& r1(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X3] :
( id(X3,sK8)
& r1(X3) )
=> ( id(sK11,sK8)
& r1(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,X0)
& r1(X3) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ? [X2] :
( r2(X2,X0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) )
& ? [X1] :
( id(X1,X0)
& r1(X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X0) )
| ! [X1] :
( ~ r1(X1)
| ~ id(X1,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X39] :
( ~ id(X39,X62)
| ~ r1(X39) )
| ! [X45] :
( ! [X46] :
( ~ r2(X46,X45)
| ~ r1(X46) )
| ~ r2(X45,X62) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X62] :
( ! [X39] :
( ~ id(X39,X62)
| ~ r1(X39) )
| ! [X45] :
( ! [X46] :
( ~ r2(X46,X45)
| ~ r1(X46) )
| ~ r2(X45,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidtwo) ).
fof(f88,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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(f153,plain,
r1(sK8),
inference(subsumption_resolution,[],[f151,f107]) ).
fof(f107,plain,
r1(sK11),
inference(cnf_transformation,[],[f60]) ).
fof(f151,plain,
( ~ r1(sK11)
| r1(sK8) ),
inference(resolution,[],[f108,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ id(X1,X0)
| r1(X0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( r1(X0)
& r1(X1) )
| ~ id(X1,X0)
| ( ~ r1(X1)
& ~ r1(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X20,X19] :
( ( ~ r1(X19)
& ~ r1(X20) )
| ~ id(X19,X20)
| ( r1(X20)
& r1(X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f108,plain,
id(sK11,sK8),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:48:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (27622)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (27635)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (27642)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (27634)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (27627)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (27642)First to succeed.
% 0.20/0.50 % (27625)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)
% 0.20/0.50 % (27626)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (27634)Also succeeded, but the first one will report.
% 0.20/0.51 % (27642)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (27642)------------------------------
% 0.20/0.51 % (27642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (27642)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (27642)Memory used [KB]: 1535
% 0.20/0.51 % (27642)Time elapsed: 0.071 s
% 0.20/0.51 % (27642)Instructions burned: 5 (million)
% 0.20/0.51 % (27642)------------------------------
% 0.20/0.51 % (27642)------------------------------
% 0.20/0.51 % (27618)Success in time 0.165 s
%------------------------------------------------------------------------------