TSTP Solution File: LCL211-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : 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 : Wed Aug 31 17:47:20 EDT 2022
% Result : Unsatisfiable 1.56s 0.59s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 25 unt; 0 def)
% Number of atoms : 60 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f624,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f623]) ).
fof(f623,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f605,f87]) ).
fof(f87,plain,
! [X4,X5] : theorem(or(or(not(or(X4,X5)),X4),X5)),
inference(resolution,[],[f54,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f21,f11]) ).
fof(f11,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f21,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f54,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f52,f21]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f43,f11]) ).
fof(f43,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f605,plain,
( ~ theorem(or(or(not(or(p,q)),p),q))
| ~ spl0_3 ),
inference(resolution,[],[f376,f12]) ).
fof(f12,plain,
~ theorem(or(not(not(q)),or(not(or(p,q)),p))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f9,axiom,
~ theorem(implies(not(q),implies(or(p,q),p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f376,plain,
( ! [X6,X5] :
( theorem(or(not(not(X6)),X5))
| ~ theorem(or(X5,X6)) )
| ~ spl0_3 ),
inference(resolution,[],[f329,f26]) ).
fof(f329,plain,
( ! [X46,X45] :
( theorem(or(X45,not(not(X46))))
| ~ theorem(or(X45,X46)) )
| ~ spl0_3 ),
inference(resolution,[],[f82,f73]) ).
fof(f73,plain,
( ! [X1] : theorem(or(X1,not(X1)))
| ~ spl0_3 ),
inference(resolution,[],[f66,f26]) ).
fof(f66,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_3
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f75,f11]) ).
fof(f75,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f47,f11]) ).
fof(f47,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f16,f7]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f71,plain,
spl0_3,
inference(avatar_split_clause,[],[f62,f65]) ).
fof(f62,plain,
! [X4] : theorem(or(not(X4),X4)),
inference(resolution,[],[f57,f19]) ).
fof(f19,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f11,f17]) ).
fof(f17,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f57,plain,
! [X8,X7] : theorem(or(X7,or(not(X8),X8))),
inference(resolution,[],[f52,f18]) ).
fof(f18,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% 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
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 01:56:05 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.50 % (13062)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 (2999ds/51Mi)
% 0.22/0.51 % (13056)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.51 % (13054)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 (2999ds/37Mi)
% 0.22/0.51 % (13066)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.52 % (13071)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.52 % (13067)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 (2999ds/68Mi)
% 0.22/0.52 % (13068)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 (2999ds/75Mi)
% 0.22/0.52 % (13057)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53 % (13078)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.53 % (13053)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (13050)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.53 % (13053)Refutation not found, incomplete strategy% (13053)------------------------------
% 0.22/0.53 % (13053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (13053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (13053)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (13053)Memory used [KB]: 5373
% 0.22/0.53 % (13053)Time elapsed: 0.113 s
% 0.22/0.53 % (13053)Instructions burned: 1 (million)
% 0.22/0.53 % (13053)------------------------------
% 0.22/0.53 % (13053)------------------------------
% 1.36/0.53 % (13058)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 (2999ds/48Mi)
% 1.36/0.53 % (13079)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 (2999ds/68Mi)
% 1.36/0.54 % (13059)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.54 % (13069)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.54 TRYING [1]
% 1.36/0.54 TRYING [2]
% 1.36/0.54 % (13065)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.36/0.54 % (13072)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)
% 1.36/0.54 % (13074)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.36/0.54 % (13080)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)
% 1.36/0.54 TRYING [3]
% 1.36/0.54 % (13076)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 (2999ds/467Mi)
% 1.36/0.54 % (13070)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.36/0.54 % (13073)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.36/0.54 TRYING [1]
% 1.36/0.54 TRYING [2]
% 1.36/0.54 % (13075)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.36/0.55 % (13081)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.36/0.55 % (13061)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.55 TRYING [1]
% 1.36/0.55 % (13064)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)
% 1.36/0.55 TRYING [2]
% 1.36/0.55 TRYING [3]
% 1.36/0.55 % (13060)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.55 % (13077)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.55 % (13060)Instruction limit reached!
% 1.56/0.55 % (13060)------------------------------
% 1.56/0.55 % (13060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (13082)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.56/0.56 % (13063)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.56 TRYING [4]
% 1.56/0.56 TRYING [4]
% 1.56/0.57 % (13061)Instruction limit reached!
% 1.56/0.57 % (13061)------------------------------
% 1.56/0.57 % (13061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (13061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (13061)Termination reason: Unknown
% 1.56/0.57 % (13061)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (13061)Memory used [KB]: 5373
% 1.56/0.57 % (13061)Time elapsed: 0.159 s
% 1.56/0.57 % (13061)Instructions burned: 3 (million)
% 1.56/0.57 % (13061)------------------------------
% 1.56/0.57 % (13061)------------------------------
% 1.56/0.57 TRYING [3]
% 1.56/0.57 % (13059)Instruction limit reached!
% 1.56/0.57 % (13059)------------------------------
% 1.56/0.57 % (13059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (13059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (13059)Termination reason: Unknown
% 1.56/0.57 % (13059)Termination phase: Finite model building SAT solving
% 1.56/0.57
% 1.56/0.57 % (13059)Memory used [KB]: 6908
% 1.56/0.57 % (13059)Time elapsed: 0.153 s
% 1.56/0.57 % (13059)Instructions burned: 53 (million)
% 1.56/0.57 % (13059)------------------------------
% 1.56/0.57 % (13059)------------------------------
% 1.56/0.57 % (13060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (13060)Termination reason: Unknown
% 1.56/0.57 % (13060)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (13060)Memory used [KB]: 5500
% 1.56/0.57 % (13060)Time elapsed: 0.100 s
% 1.56/0.57 % (13060)Instructions burned: 7 (million)
% 1.56/0.57 % (13060)------------------------------
% 1.56/0.57 % (13060)------------------------------
% 1.56/0.57 % (13073)First to succeed.
% 1.56/0.58 TRYING [4]
% 1.56/0.59 % (13062)Instruction limit reached!
% 1.56/0.59 % (13062)------------------------------
% 1.56/0.59 % (13062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (13054)Instruction limit reached!
% 1.56/0.59 % (13054)------------------------------
% 1.56/0.59 % (13054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (13073)Refutation found. Thanks to Tanya!
% 1.56/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.59 % (13073)------------------------------
% 1.56/0.59 % (13073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (13073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (13073)Termination reason: Refutation
% 1.56/0.59
% 1.56/0.59 % (13073)Memory used [KB]: 5756
% 1.56/0.59 % (13073)Time elapsed: 0.146 s
% 1.56/0.59 % (13073)Instructions burned: 26 (million)
% 1.56/0.59 % (13073)------------------------------
% 1.56/0.59 % (13073)------------------------------
% 1.56/0.59 % (13047)Success in time 0.229 s
%------------------------------------------------------------------------------