TSTP Solution File: NUN067+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN067+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 : n004.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 18:08:03 EDT 2022
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 42 ~; 27 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 52 ( 45 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(resolution,[],[f166,f109]) ).
fof(f109,plain,
! [X0] : r1(X0),
inference(resolution,[],[f105,f55]) ).
fof(f55,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
? [X1] :
( r1(X1)
& id(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ? [X0] :
! [X1] :
( ~ id(X0,X1)
| ~ r1(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(f105,plain,
! [X7] :
( ~ r1(sK6(X7))
| r1(X7) ),
inference(resolution,[],[f46,f88]) ).
fof(f88,plain,
! [X1] : id(sK6(X1),X1),
inference(resolution,[],[f76,f54]) ).
fof(f54,plain,
! [X0] : id(X0,sK6(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f76,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f46,plain,
! [X0,X1] :
( ~ id(X0,X1)
| r1(X1)
| ~ r1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X1)
& r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X19)
& r1(X20) )
| ~ id(X19,X20)
| ( ~ r1(X20)
& ~ r1(X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f166,plain,
~ r1(sK4),
inference(resolution,[],[f157,f64]) ).
fof(f64,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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(f157,plain,
! [X0] :
( ~ id(X0,sK4)
| ~ r1(X0) ),
inference(resolution,[],[f70,f142]) ).
fof(f142,plain,
! [X0] : r2(X0,sK4),
inference(resolution,[],[f136,f109]) ).
fof(f136,plain,
! [X3] :
( ~ r1(sK14(X3))
| r2(X3,sK4) ),
inference(resolution,[],[f72,f89]) ).
fof(f89,plain,
! [X2] :
( id(sK4,X2)
| ~ r1(X2) ),
inference(resolution,[],[f76,f51]) ).
fof(f51,plain,
! [X1] :
( id(X1,sK4)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f1]) ).
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(f72,plain,
! [X2,X0] :
( ~ id(X2,sK14(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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(f70,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ! [X66] :
( ~ id(X66,X65)
| ~ r1(X66) )
| ~ r2(X64,X65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 09:41:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51 % (27647)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)
% 0.22/0.51 % (27663)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.52 % (27655)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.52 % (27647)First to succeed.
% 0.22/0.53 % (27647)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (27647)------------------------------
% 0.22/0.53 % (27647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (27647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (27647)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (27647)Memory used [KB]: 5500
% 0.22/0.53 % (27647)Time elapsed: 0.107 s
% 0.22/0.53 % (27647)Instructions burned: 4 (million)
% 0.22/0.53 % (27647)------------------------------
% 0.22/0.53 % (27647)------------------------------
% 0.22/0.53 % (27635)Success in time 0.157 s
%------------------------------------------------------------------------------