TSTP Solution File: NUN073+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN073+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 : n016.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 18:08:05 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 158 ( 63 ~; 49 |; 41 &)
% ( 0 <=>; 5 =>; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 88 ( 61 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f611,plain,
$false,
inference(subsumption_resolution,[],[f610,f124]) ).
fof(f124,plain,
r1(sK17),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( r2(sK14,sK13)
& r1(sK15)
& r2(sK15,sK14)
& id(sK16,sK13)
& r2(sK17,sK16)
& r1(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17])],[f67,f72,f71,f70,f69,f68]) ).
fof(f68,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r1(X2)
& r2(X2,X1) ) )
& ? [X3] :
( id(X3,X0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( ? [X1] :
( r2(X1,sK13)
& ? [X2] :
( r1(X2)
& r2(X2,X1) ) )
& ? [X3] :
( id(X3,sK13)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X1] :
( r2(X1,sK13)
& ? [X2] :
( r1(X2)
& r2(X2,X1) ) )
=> ( r2(sK14,sK13)
& ? [X2] :
( r1(X2)
& r2(X2,sK14) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X2] :
( r1(X2)
& r2(X2,sK14) )
=> ( r1(sK15)
& r2(sK15,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X3] :
( id(X3,sK13)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( id(sK16,sK13)
& ? [X4] :
( r2(X4,sK16)
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X4] :
( r2(X4,sK16)
& r1(X4) )
=> ( r2(sK17,sK16)
& r1(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r1(X2)
& r2(X2,X1) ) )
& ? [X3] :
( id(X3,X0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ? [X3] :
( r2(X3,X0)
& ? [X4] :
( r1(X4)
& r2(X4,X3) ) )
& ? [X1] :
( id(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ! [X0] :
( ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r2(X3,X0) )
| ! [X1] :
( ~ id(X1,X0)
| ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X45] :
( ~ id(X45,X62)
| ! [X39] :
( ~ r1(X39)
| ~ r2(X39,X45) ) )
| ! [X46] :
( ~ r2(X46,X62)
| ! [X40] :
( ~ r1(X40)
| ~ r2(X40,X46) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X62] :
( ! [X45] :
( ~ id(X45,X62)
| ! [X39] :
( ~ r1(X39)
| ~ r2(X39,X45) ) )
| ! [X46] :
( ~ r2(X46,X62)
| ! [X40] :
( ~ r1(X40)
| ~ r2(X40,X46) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
fof(f610,plain,
~ r1(sK17),
inference(subsumption_resolution,[],[f608,f233]) ).
fof(f233,plain,
~ r1(sK14),
inference(resolution,[],[f220,f138]) ).
fof(f138,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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(f220,plain,
! [X11] :
( ~ id(X11,sK14)
| ~ r1(X11) ),
inference(resolution,[],[f102,f127]) ).
fof(f127,plain,
r2(sK15,sK14),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X2)
| ~ id(X2,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X0)
| ~ r1(X2) )
| ~ r2(X1,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,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) ).
fof(f608,plain,
( r1(sK14)
| ~ r1(sK17) ),
inference(resolution,[],[f595,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ id(X0,X1)
| r1(X0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ( r1(X1)
& r1(X0) )
| ( ~ r1(X0)
& ~ r1(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ~ id(X19,X20)
| ( ~ r1(X20)
& ~ r1(X19) )
| ( r1(X20)
& r1(X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f595,plain,
id(sK14,sK17),
inference(subsumption_resolution,[],[f591,f157]) ).
fof(f157,plain,
id(sK13,sK16),
inference(resolution,[],[f144,f126]) ).
fof(f126,plain,
id(sK16,sK13),
inference(cnf_transformation,[],[f73]) ).
fof(f144,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f591,plain,
( ~ id(sK13,sK16)
| id(sK14,sK17) ),
inference(resolution,[],[f298,f125]) ).
fof(f125,plain,
r2(sK17,sK16),
inference(cnf_transformation,[],[f73]) ).
fof(f298,plain,
! [X14,X15] :
( ~ r2(X14,X15)
| ~ id(sK13,X15)
| id(sK14,X14) ),
inference(resolution,[],[f139,f129]) ).
fof(f129,plain,
r2(sK14,sK13),
inference(cnf_transformation,[],[f73]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ r2(X1,X3)
| id(X1,X0)
| ~ r2(X0,X2)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( id(X1,X0)
| ! [X2] :
( ! [X3] :
( ~ r2(X1,X3)
| ~ id(X3,X2) )
| ~ r2(X0,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( id(X0,X1)
| ! [X2] :
( ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) )
| ~ r2(X1,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X49,X50] :
( id(X49,X50)
| ! [X51] :
( ! [X52] :
( ~ r2(X49,X52)
| ~ id(X52,X51) )
| ~ r2(X50,X51) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN073+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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 10:09:16 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (32511)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.47 % (32534)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 (3000ds/68Mi)
% 0.20/0.47 % (32526)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.49 % (32531)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.49 % (32523)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.50 % (32520)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51 % (32515)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.51 % (32517)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51 % (32513)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.51 % (32510)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 (3000ds/37Mi)
% 0.20/0.51 % (32512)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51 % (32509)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (32526)First to succeed.
% 0.20/0.52 % (32526)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (32526)------------------------------
% 0.20/0.52 % (32526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32526)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (32526)Memory used [KB]: 5756
% 0.20/0.52 % (32526)Time elapsed: 0.133 s
% 0.20/0.52 % (32526)Instructions burned: 18 (million)
% 0.20/0.52 % (32526)------------------------------
% 0.20/0.52 % (32526)------------------------------
% 0.20/0.52 % (32507)Success in time 0.172 s
%------------------------------------------------------------------------------