TSTP Solution File: NUN067+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN067+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue May 21 02:17:51 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 40 ~; 23 |; 30 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-1 aty)
% Number of variables : 68 ( 52 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,plain,
$false,
inference(resolution,[],[f195,f77]) ).
fof(f77,plain,
! [X0] : id(sK4(X0),X0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( r3(X0,sK5(X0),sK4(X0))
& r1(sK5(X0))
& id(sK4(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f24,f46,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK4(X0))
& r1(X2) )
& id(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK4(X0))
& r1(X2) )
=> ( r3(X0,sK5(X0),sK4(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f195,plain,
! [X0,X1] : ~ id(X0,sK9(X1)),
inference(resolution,[],[f192,f147]) ).
fof(f147,plain,
! [X0] : r2(X0,sK9(X0)),
inference(resolution,[],[f87,f72]) ).
fof(f72,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(f87,plain,
! [X2,X0] :
( ~ id(X2,sK9(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X2] :
( ( ~ id(X2,sK9(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK9(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f26,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) )
=> ! [X2] :
( ( ~ id(X2,sK9(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK9(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ id(X4,X3)
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& id(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ id(X2,X1) ),
inference(subsumption_resolution,[],[f93,f183]) ).
fof(f183,plain,
! [X0] : r1(X0),
inference(resolution,[],[f151,f70]) ).
fof(f70,plain,
! [X0] : id(X0,sK0(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( r1(sK0(X0))
& id(X0,sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f39,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( r1(X1)
& id(X0,X1) )
=> ( r1(sK0(X0))
& id(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
? [X1] :
( r1(X1)
& id(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
! [X1] :
( ~ r1(X1)
| ~ id(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
! [X45] :
( ~ r1(X45)
| ~ id(X62,X45) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
! [X45] :
( ~ r1(X45)
| ~ id(X62,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexistid) ).
fof(f151,plain,
! [X0,X1] :
( ~ id(X0,sK0(X1))
| r1(X0) ),
inference(resolution,[],[f90,f71]) ).
fof(f71,plain,
! [X0] : r1(sK0(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f90,plain,
! [X0,X1] :
( ~ r1(X1)
| r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUN067+1 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 15:10:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (3845)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (3852)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (3850)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (3851)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (3847)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (3849)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (3846)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (3848)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (3851)First to succeed.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (3850)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (3851)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3845"
% 0.11/0.34 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.11/0.34 % (3851)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (3851)------------------------------
% 0.11/0.34 % (3851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (3851)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (3851)Memory used [KB]: 872
% 0.11/0.34 % (3851)Time elapsed: 0.005 s
% 0.11/0.34 % (3851)Instructions burned: 6 (million)
% 0.11/0.34 % (3845)Success in time 0.019 s
%------------------------------------------------------------------------------