TSTP Solution File: LCL248-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL248-3 : 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 : n014.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 17:47:36 EDT 2022
% Result : Unsatisfiable 1.43s 0.57s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 25 unt; 0 def)
% Number of atoms : 70 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 30 ~; 24 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f489,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f488]) ).
fof(f488,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f478,f83]) ).
fof(f83,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_4
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f478,plain,
( ~ theorem(or(not(q),q))
| ~ spl0_4 ),
inference(resolution,[],[f477,f268]) ).
fof(f268,plain,
! [X8,X9,X7] :
( theorem(or(X8,or(X9,X7)))
| ~ theorem(or(X7,X8)) ),
inference(resolution,[],[f208,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f23,f17]) ).
fof(f17,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/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| ~ theorem(X4)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f208,plain,
! [X6,X7,X5] :
( theorem(or(X5,or(X6,X7)))
| ~ theorem(or(X7,X6)) ),
inference(resolution,[],[f116,f20]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ),
inference(resolution,[],[f73,f17]) ).
fof(f73,plain,
! [X14,X12,X13] :
( theorem(or(X12,or(X13,X14)))
| ~ theorem(or(X12,X14)) ),
inference(resolution,[],[f34,f22]) ).
fof(f22,plain,
! [X2,X1] :
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(resolution,[],[f17,f19]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f16,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/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f477,plain,
( ~ theorem(or(q,or(not(p),not(q))))
| ~ spl0_4 ),
inference(resolution,[],[f418,f280]) ).
fof(f280,plain,
~ theorem(or(q,not(not(or(not(p),not(q)))))),
inference(resolution,[],[f268,f11]) ).
fof(f11,plain,
~ theorem(or(not(not(or(not(p),not(q)))),or(not(p),q))),
inference(definition_unfolding,[],[f10,f6,f9,f6]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
~ theorem(implies(and(p,q),implies(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f418,plain,
( ! [X48,X49] :
( theorem(or(X48,not(not(X49))))
| ~ theorem(or(X48,X49)) )
| ~ spl0_4 ),
inference(resolution,[],[f94,f87]) ).
fof(f87,plain,
( ! [X1] : theorem(or(X1,not(X1)))
| ~ spl0_4 ),
inference(resolution,[],[f83,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f20,f17]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f91,f17]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f28,f17]) ).
fof(f28,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f13,f7]) ).
fof(f13,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/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f85,plain,
spl0_4,
inference(avatar_split_clause,[],[f76,f82]) ).
fof(f76,plain,
! [X4] : theorem(or(not(X4),X4)),
inference(resolution,[],[f71,f21]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f17,f18]) ).
fof(f18,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f12,f7]) ).
fof(f12,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/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f71,plain,
! [X8,X7] : theorem(or(X7,or(not(X8),X8))),
inference(resolution,[],[f34,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL248-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:50:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (8231)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)
% 0.20/0.52 % (8227)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (8213)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)
% 0.20/0.52 % (8239)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (8212)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)
% 0.20/0.53 % (8224)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)
% 0.20/0.53 % (8233)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)
% 0.20/0.53 % (8236)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (8238)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)
% 0.20/0.53 % (8214)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8215)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)
% 0.20/0.53 % (8220)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (8237)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)
% 0.20/0.53 % (8209)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)
% 0.20/0.53 % (8216)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)
% 0.20/0.53 % (8217)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (8218)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (8228)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (8218)Instruction limit reached!
% 0.20/0.53 % (8218)------------------------------
% 0.20/0.53 % (8218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8217)Instruction limit reached!
% 0.20/0.54 % (8217)------------------------------
% 0.20/0.54 % (8217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (8232)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (8230)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)
% 0.20/0.54 % (8219)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)
% 0.20/0.54 % (8235)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (8234)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)
% 0.20/0.54 % (8218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8218)Termination reason: Unknown
% 0.20/0.54 % (8218)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (8218)Memory used [KB]: 5373
% 0.20/0.54 % (8218)Time elapsed: 0.125 s
% 0.20/0.54 % (8218)Instructions burned: 3 (million)
% 0.20/0.54 % (8218)------------------------------
% 0.20/0.54 % (8218)------------------------------
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (8222)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (8223)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (8211)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (8211)Refutation not found, incomplete strategy% (8211)------------------------------
% 0.20/0.54 % (8211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8211)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (8211)Memory used [KB]: 5373
% 0.20/0.54 % (8211)Time elapsed: 0.135 s
% 0.20/0.54 % (8211)Instructions burned: 2 (million)
% 0.20/0.54 % (8211)------------------------------
% 0.20/0.54 % (8211)------------------------------
% 0.20/0.54 % (8221)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)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (8226)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)
% 1.43/0.55 TRYING [3]
% 1.43/0.55 % (8240)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)
% 1.43/0.55 % (8225)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)
% 1.43/0.56 % (8217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56 % (8217)Termination reason: Unknown
% 1.43/0.56 % (8217)Termination phase: Saturation
% 1.43/0.56
% 1.43/0.56 % (8217)Memory used [KB]: 5500
% 1.43/0.56 % (8217)Time elapsed: 0.127 s
% 1.43/0.56 % (8217)Instructions burned: 8 (million)
% 1.43/0.56 % (8217)------------------------------
% 1.43/0.56 % (8217)------------------------------
% 1.43/0.56 TRYING [4]
% 1.43/0.57 % (8231)First to succeed.
% 1.43/0.57 % (8231)Refutation found. Thanks to Tanya!
% 1.43/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.57 % (8231)------------------------------
% 1.43/0.57 % (8231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57 % (8231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.57 % (8231)Termination reason: Refutation
% 1.43/0.57
% 1.43/0.57 % (8231)Memory used [KB]: 5628
% 1.43/0.57 % (8231)Time elapsed: 0.157 s
% 1.43/0.57 % (8231)Instructions burned: 18 (million)
% 1.43/0.57 % (8231)------------------------------
% 1.43/0.57 % (8231)------------------------------
% 1.43/0.57 % (8208)Success in time 0.214 s
%------------------------------------------------------------------------------