TSTP Solution File: LCL042-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL042-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n018.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 17:46:40 EDT 2022
% Result : Unsatisfiable 2.06s 0.63s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 27 unt; 0 def)
% Number of atoms : 71 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f740,plain,
$false,
inference(avatar_sat_refutation,[],[f365,f734,f737,f739]) ).
fof(f739,plain,
~ spl6_9,
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl6_9 ),
inference(resolution,[],[f80,f14]) ).
fof(f14,plain,
~ is_a_theorem(sF5),
inference(definition_folding,[],[f7,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
implies(b,c) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
implies(a,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
implies(a,b) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
implies(a,c) = sF3,
introduced(function_definition,[]) ).
fof(f12,plain,
implies(sF2,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f13,plain,
implies(sF1,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f7,axiom,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_35) ).
fof(f80,plain,
( is_a_theorem(sF5)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl6_9
<=> is_a_theorem(sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f737,plain,
spl6_57,
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| spl6_57 ),
inference(resolution,[],[f733,f563]) ).
fof(f563,plain,
is_a_theorem(implies(sF0,sF4)),
inference(forward_demodulation,[],[f562,f12]) ).
fof(f562,plain,
is_a_theorem(implies(sF0,implies(sF2,sF3))),
inference(forward_demodulation,[],[f559,f11]) ).
fof(f559,plain,
is_a_theorem(implies(sF0,implies(sF2,implies(a,c)))),
inference(superposition,[],[f495,f10]) ).
fof(f495,plain,
! [X3] : is_a_theorem(implies(sF0,implies(implies(X3,b),implies(X3,c)))),
inference(superposition,[],[f5,f8]) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_22) ).
fof(f733,plain,
( ~ is_a_theorem(implies(sF0,sF4))
| spl6_57 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl6_57
<=> is_a_theorem(implies(sF0,sF4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f734,plain,
( ~ spl6_57
| spl6_23 ),
inference(avatar_split_clause,[],[f725,f362,f731]) ).
fof(f362,plain,
( spl6_23
<=> is_a_theorem(implies(a,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f725,plain,
( is_a_theorem(implies(a,sF5))
| ~ is_a_theorem(implies(sF0,sF4)) ),
inference(resolution,[],[f574,f207]) ).
fof(f207,plain,
! [X0] :
( ~ is_a_theorem(implies(sF1,implies(X0,sF4)))
| is_a_theorem(implies(X0,sF5)) ),
inference(resolution,[],[f136,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f136,plain,
! [X4] : is_a_theorem(implies(implies(sF1,implies(X4,sF4)),implies(X4,sF5))),
inference(superposition,[],[f4,f13]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).
fof(f574,plain,
! [X0] :
( is_a_theorem(implies(sF1,implies(a,X0)))
| ~ is_a_theorem(implies(sF0,X0)) ),
inference(resolution,[],[f498,f1]) ).
fof(f498,plain,
! [X0] : is_a_theorem(implies(implies(sF0,X0),implies(sF1,implies(a,X0)))),
inference(superposition,[],[f5,f9]) ).
fof(f365,plain,
( ~ spl6_23
| spl6_9 ),
inference(avatar_split_clause,[],[f347,f78,f362]) ).
fof(f347,plain,
( is_a_theorem(sF5)
| ~ is_a_theorem(implies(a,sF5)) ),
inference(resolution,[],[f330,f327]) ).
fof(f327,plain,
is_a_theorem(implies(not(a),sF5)),
inference(resolution,[],[f320,f292]) ).
fof(f292,plain,
! [X1] :
( ~ is_a_theorem(implies(X1,sF4))
| is_a_theorem(implies(X1,sF5)) ),
inference(resolution,[],[f207,f21]) ).
fof(f21,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
fof(f320,plain,
is_a_theorem(implies(not(a),sF4)),
inference(resolution,[],[f309,f263]) ).
fof(f263,plain,
is_a_theorem(implies(not(a),sF3)),
inference(resolution,[],[f188,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f188,plain,
! [X0] :
( ~ is_a_theorem(implies(a,implies(X0,c)))
| is_a_theorem(implies(X0,sF3)) ),
inference(resolution,[],[f134,f1]) ).
fof(f134,plain,
! [X2] : is_a_theorem(implies(implies(a,implies(X2,c)),implies(X2,sF3))),
inference(superposition,[],[f4,f11]) ).
fof(f309,plain,
! [X1] :
( ~ is_a_theorem(implies(X1,sF3))
| is_a_theorem(implies(X1,sF4)) ),
inference(resolution,[],[f209,f21]) ).
fof(f209,plain,
! [X0] :
( ~ is_a_theorem(implies(sF2,implies(X0,sF3)))
| is_a_theorem(implies(X0,sF4)) ),
inference(resolution,[],[f137,f1]) ).
fof(f137,plain,
! [X5] : is_a_theorem(implies(implies(sF2,implies(X5,sF3)),implies(X5,sF4))),
inference(superposition,[],[f4,f12]) ).
fof(f330,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f112,f1]) ).
fof(f112,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X1),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL042-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 01:34:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (28284)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)
% 0.19/0.48 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.52 % (28308)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (28300)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)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (28298)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)
% 0.19/0.53 % (28307)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)
% 0.19/0.54 % (28299)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)
% 0.19/0.55 % (28291)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (28290)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)
% 0.19/0.55 % (28296)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (28292)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (28292)Instruction limit reached!
% 0.19/0.55 % (28292)------------------------------
% 0.19/0.55 % (28292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28292)Termination reason: Unknown
% 0.19/0.55 % (28292)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (28292)Memory used [KB]: 5373
% 0.19/0.55 % (28292)Time elapsed: 0.159 s
% 0.19/0.55 % (28292)Instructions burned: 2 (million)
% 0.19/0.55 % (28292)------------------------------
% 0.19/0.55 % (28292)------------------------------
% 0.19/0.56 % (28291)Instruction limit reached!
% 0.19/0.56 % (28291)------------------------------
% 0.19/0.56 % (28291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (28291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (28291)Termination reason: Unknown
% 0.19/0.56 % (28291)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (28291)Memory used [KB]: 5500
% 0.19/0.56 % (28291)Time elapsed: 0.094 s
% 0.19/0.56 % (28291)Instructions burned: 7 (million)
% 0.19/0.56 % (28291)------------------------------
% 0.19/0.56 % (28291)------------------------------
% 0.19/0.56 % (28297)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (28287)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)
% 0.19/0.57 % (28304)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)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.57 TRYING [3]
% 0.19/0.58 % (28286)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)
% 0.19/0.58 % (28288)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 % (28289)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)
% 0.19/0.59 % (28311)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)
% 0.19/0.59 % (28302)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.60 % (28312)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.73/0.60 TRYING [4]
% 1.73/0.60 % (28285)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)
% 1.73/0.60 % (28305)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.73/0.60 % (28285)Refutation not found, incomplete strategy% (28285)------------------------------
% 1.73/0.60 % (28285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (28285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (28285)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.60
% 1.73/0.60 % (28285)Memory used [KB]: 5373
% 1.73/0.60 % (28285)Time elapsed: 0.188 s
% 1.73/0.60 % (28285)Instructions burned: 2 (million)
% 1.73/0.60 % (28285)------------------------------
% 1.73/0.60 % (28285)------------------------------
% 1.73/0.60 % (28310)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)
% 1.73/0.61 % (28301)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.73/0.61 % (28303)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)
% 1.73/0.61 % (28313)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)
% 2.06/0.62 % (28309)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.06/0.62 % (28294)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.06/0.62 % (28293)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)
% 2.06/0.62 % (28287)First to succeed.
% 2.06/0.63 % (28287)Refutation found. Thanks to Tanya!
% 2.06/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.06/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.63 % (28287)------------------------------
% 2.06/0.63 % (28287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.63 % (28287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.63 % (28287)Termination reason: Refutation
% 2.06/0.63
% 2.06/0.63 % (28287)Memory used [KB]: 5884
% 2.06/0.63 % (28287)Time elapsed: 0.218 s
% 2.06/0.63 % (28287)Instructions burned: 19 (million)
% 2.06/0.63 % (28287)------------------------------
% 2.06/0.63 % (28287)------------------------------
% 2.06/0.63 % (28283)Success in time 0.277 s
%------------------------------------------------------------------------------