TSTP Solution File: LCL234-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL234-3 : 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 : 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 17:47:30 EDT 2022
% Result : Unsatisfiable 0.14s 0.61s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 45 ( 36 unt; 0 def)
% Number of atoms : 57 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1328,plain,
$false,
inference(subsumption_resolution,[],[f1322,f438]) ).
fof(f438,plain,
theorem(or(sF3,sF2)),
inference(resolution,[],[f397,f110]) ).
fof(f110,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f34,f15]) ).
fof(f15,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| ~ theorem(X4)
| theorem(X3) ),
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(X3)
| ~ theorem(implies(X4,X3))
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f34,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f16,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(f397,plain,
! [X27] : theorem(or(X27,or(sF3,sF2))),
inference(resolution,[],[f227,f101]) ).
fof(f101,plain,
! [X0] : theorem(or(sF3,or(X0,sF2))),
inference(resolution,[],[f28,f7]) ).
fof(f28,plain,
! [X2] : axiom(or(sF3,or(X2,sF2))),
inference(superposition,[],[f12,f21]) ).
fof(f21,plain,
sF3 = not(sF2),
introduced(function_definition,[]) ).
fof(f12,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(f227,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f77,f15]) ).
fof(f77,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f17,f7]) ).
fof(f17,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(f1322,plain,
~ theorem(or(sF3,sF2)),
inference(resolution,[],[f1164,f321]) ).
fof(f321,plain,
! [X0] :
( theorem(or(sF0,or(X0,sF1)))
| ~ theorem(or(X0,sF2)) ),
inference(resolution,[],[f134,f15]) ).
fof(f134,plain,
! [X0] : theorem(or(not(or(X0,sF2)),or(sF0,or(X0,sF1)))),
inference(resolution,[],[f78,f7]) ).
fof(f78,plain,
! [X0] : axiom(or(not(or(X0,sF2)),or(sF0,or(X0,sF1)))),
inference(superposition,[],[f17,f20]) ).
fof(f20,plain,
or(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f1164,plain,
~ theorem(or(sF0,or(sF3,sF1))),
inference(resolution,[],[f972,f120]) ).
fof(f120,plain,
theorem(or(not(or(sF3,sF1)),sF4)),
inference(resolution,[],[f41,f7]) ).
fof(f41,plain,
axiom(or(not(or(sF3,sF1)),sF4)),
inference(superposition,[],[f11,f22]) ).
fof(f22,plain,
or(sF1,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f11,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(f972,plain,
! [X0] :
( ~ theorem(or(not(X0),sF4))
| ~ theorem(or(sF0,X0)) ),
inference(subsumption_resolution,[],[f968,f24]) ).
fof(f24,plain,
~ theorem(sF5),
inference(definition_folding,[],[f13,f23,f22,f21,f20,f19,f18,f19,f18]) ).
fof(f18,plain,
not(p) = sF0,
introduced(function_definition,[]) ).
fof(f19,plain,
sF1 = not(q),
introduced(function_definition,[]) ).
fof(f23,plain,
sF5 = or(sF0,sF4),
introduced(function_definition,[]) ).
fof(f13,plain,
~ theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))),
inference(definition_unfolding,[],[f10,f6,f6,f9]) ).
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(p,implies(q,and(p,q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f968,plain,
! [X0] :
( ~ theorem(or(not(X0),sF4))
| theorem(sF5)
| ~ theorem(or(sF0,X0)) ),
inference(resolution,[],[f465,f15]) ).
fof(f465,plain,
! [X0] :
( theorem(or(not(or(sF0,X0)),sF5))
| ~ theorem(or(not(X0),sF4)) ),
inference(resolution,[],[f255,f15]) ).
fof(f255,plain,
! [X0] : theorem(or(not(or(not(X0),sF4)),or(not(or(sF0,X0)),sF5))),
inference(resolution,[],[f92,f7]) ).
fof(f92,plain,
! [X1] : axiom(or(not(or(not(X1),sF4)),or(not(or(sF0,X1)),sF5))),
inference(superposition,[],[f14,f23]) ).
fof(f14,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL234-3 : TPTP v8.1.0. Released v2.3.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.30 % CPULimit : 300
% 0.14/0.30 % WCLimit : 300
% 0.14/0.30 % DateTime : Tue Aug 30 02:09:30 EDT 2022
% 0.14/0.31 % CPUTime :
% 0.14/0.46 % (18927)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 (3000ds/99Mi)
% 0.14/0.46 % (18918)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.14/0.46 % (18933)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 (3000ds/498Mi)
% 0.14/0.46 % (18917)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.47 % (18935)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.14/0.47 % (18925)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)
% 0.14/0.47 TRYING [1]
% 0.14/0.47 TRYING [2]
% 0.14/0.47 TRYING [3]
% 0.14/0.48 % (18918)Instruction limit reached!
% 0.14/0.48 % (18918)------------------------------
% 0.14/0.48 % (18918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (18911)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 (3000ds/191324Mi)
% 0.14/0.49 % (18918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (18918)Termination reason: Unknown
% 0.14/0.49 % (18918)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (18918)Memory used [KB]: 5500
% 0.14/0.49 % (18918)Time elapsed: 0.106 s
% 0.14/0.49 % (18918)Instructions burned: 7 (million)
% 0.14/0.49 % (18918)------------------------------
% 0.14/0.49 % (18918)------------------------------
% 0.14/0.49 TRYING [1]
% 0.14/0.49 TRYING [2]
% 0.14/0.49 % (18916)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)
% 0.14/0.49 % (18915)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.50 % (18938)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 (3000ds/177Mi)
% 0.14/0.50 % (18913)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)
% 0.14/0.50 TRYING [4]
% 0.14/0.51 % (18934)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)
% 0.14/0.51 % (18914)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)
% 0.14/0.51 % (18940)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 (3000ds/355Mi)
% 0.14/0.51 % (18939)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.14/0.51 TRYING [3]
% 0.14/0.51 % (18937)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)
% 0.14/0.52 % (18936)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.14/0.52 % (18930)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 (3000ds/100Mi)
% 0.14/0.52 % (18929)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.14/0.52 % (18926)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)
% 0.14/0.52 % (18932)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.14/0.53 % (18920)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)
% 0.14/0.53 % (18931)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 (3000ds/176Mi)
% 0.14/0.53 % (18924)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.14/0.53 % (18919)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.53 % (18919)Instruction limit reached!
% 0.14/0.53 % (18919)------------------------------
% 0.14/0.53 % (18919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (18919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (18919)Termination reason: Unknown
% 0.14/0.53 % (18919)Termination phase: Saturation
% 0.14/0.53
% 0.14/0.53 % (18919)Memory used [KB]: 5373
% 0.14/0.53 % (18919)Time elapsed: 0.164 s
% 0.14/0.53 % (18919)Instructions burned: 2 (million)
% 0.14/0.53 % (18919)------------------------------
% 0.14/0.53 % (18919)------------------------------
% 0.14/0.53 % (18922)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.14/0.53 % (18917)Instruction limit reached!
% 0.14/0.53 % (18917)------------------------------
% 0.14/0.53 % (18917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (18917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (18917)Termination reason: Unknown
% 0.14/0.53 % (18917)Termination phase: Finite model building SAT solving
% 0.14/0.53
% 0.14/0.53 % (18917)Memory used [KB]: 6908
% 0.14/0.53 % (18917)Time elapsed: 0.128 s
% 0.14/0.53 % (18917)Instructions burned: 52 (million)
% 0.14/0.53 % (18917)------------------------------
% 0.14/0.53 % (18917)------------------------------
% 0.14/0.53 % (18928)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.14/0.53 TRYING [1]
% 0.14/0.53 TRYING [2]
% 0.14/0.53 % (18923)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.14/0.53 TRYING [3]
% 0.14/0.54 % (18921)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.14/0.54 TRYING [4]
% 0.14/0.56 TRYING [4]
% 0.14/0.56 % (18912)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)
% 0.14/0.57 % (18912)Refutation not found, incomplete strategy% (18912)------------------------------
% 0.14/0.57 % (18912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.57 % (18912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57 % (18912)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57
% 0.14/0.57 % (18912)Memory used [KB]: 5373
% 0.14/0.57 % (18912)Time elapsed: 0.156 s
% 0.14/0.57 % (18912)Instructions burned: 2 (million)
% 0.14/0.57 % (18912)------------------------------
% 0.14/0.57 % (18912)------------------------------
% 0.14/0.59 % (18913)Instruction limit reached!
% 0.14/0.59 % (18913)------------------------------
% 0.14/0.59 % (18913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (18913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (18913)Termination reason: Unknown
% 0.14/0.59 % (18913)Termination phase: Saturation
% 0.14/0.59
% 0.14/0.59 % (18913)Memory used [KB]: 1407
% 0.14/0.59 % (18913)Time elapsed: 0.218 s
% 0.14/0.59 % (18913)Instructions burned: 37 (million)
% 0.14/0.59 % (18913)------------------------------
% 0.14/0.59 % (18913)------------------------------
% 0.14/0.59 % (18925)Instruction limit reached!
% 0.14/0.59 % (18925)------------------------------
% 0.14/0.59 % (18925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (18925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (18925)Termination reason: Unknown
% 0.14/0.59 % (18925)Termination phase: Saturation
% 0.14/0.59
% 0.14/0.59 % (18925)Memory used [KB]: 6140
% 0.14/0.59 % (18925)Time elapsed: 0.067 s
% 0.14/0.59 % (18925)Instructions burned: 69 (million)
% 0.14/0.59 % (18925)------------------------------
% 0.14/0.59 % (18925)------------------------------
% 0.14/0.60 % (18916)Instruction limit reached!
% 0.14/0.60 % (18916)------------------------------
% 0.14/0.60 % (18916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.60 % (18916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.60 % (18916)Termination reason: Unknown
% 0.14/0.60 % (18916)Termination phase: Saturation
% 0.14/0.60
% 0.14/0.61 % (18935)First to succeed.
% 0.14/0.61 % (18935)Refutation found. Thanks to Tanya!
% 0.14/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.61 % (18935)------------------------------
% 0.14/0.61 % (18935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.61 % (18935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.61 % (18935)Termination reason: Refutation
% 0.14/0.61
% 0.14/0.61 % (18935)Memory used [KB]: 6524
% 0.14/0.61 % (18935)Time elapsed: 0.247 s
% 0.14/0.61 % (18935)Instructions burned: 60 (million)
% 0.14/0.61 % (18935)------------------------------
% 0.14/0.61 % (18935)------------------------------
% 0.14/0.61 % (18910)Success in time 0.296 s
%------------------------------------------------------------------------------