TSTP Solution File: COM141+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n011.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 15:53:59 EDT 2022
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 109 ( 44 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 116 ( 45 ~; 40 |; 23 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 144 ( 120 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f730,plain,
$false,
inference(subsumption_resolution,[],[f727,f726]) ).
fof(f726,plain,
~ vtcheck(sK48,vabs(sK47,sK51,veabs),sK49),
inference(superposition,[],[f609,f710]) ).
fof(f710,plain,
sK47 = sK52,
inference(subsumption_resolution,[],[f709,f609]) ).
fof(f709,plain,
( sK47 = sK52
| vtcheck(sK48,vabs(sK52,sK51,veabs),sK49) ),
inference(resolution,[],[f708,f645]) ).
fof(f645,plain,
vtcheck(vbind(sK47,sK50,sK48),vabs(sK52,sK51,veabs),sK49),
inference(consistent_polarity_flipping,[],[f424]) ).
fof(f424,plain,
~ vtcheck(vbind(sK47,sK50,sK48),vabs(sK52,sK51,veabs),sK49),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ~ vtcheck(vbind(sK47,sK50,sK48),vabs(sK52,sK51,veabs),sK49)
& vtcheck(sK48,vabs(sK52,sK51,veabs),sK49)
& vnoType = vlookup(sK47,sK48) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52])],[f281,f282]) ).
fof(f282,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X3,X1),vabs(X5,X4,veabs),X2)
& vtcheck(X1,vabs(X5,X4,veabs),X2)
& vnoType = vlookup(X0,X1) )
=> ( ~ vtcheck(vbind(sK47,sK50,sK48),vabs(sK52,sK51,veabs),sK49)
& vtcheck(sK48,vabs(sK52,sK51,veabs),sK49)
& vnoType = vlookup(sK47,sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X3,X1),vabs(X5,X4,veabs),X2)
& vtcheck(X1,vabs(X5,X4,veabs),X2)
& vnoType = vlookup(X0,X1) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
? [X0,X2,X1,X3,X5,X4] :
( ~ vtcheck(vbind(X0,X3,X2),vabs(X4,X5,veabs),X1)
& vtcheck(X2,vabs(X4,X5,veabs),X1)
& vnoType = vlookup(X0,X2) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
? [X2,X5,X3,X1,X0,X4] :
( ~ vtcheck(vbind(X0,X3,X2),vabs(X4,X5,veabs),X1)
& vnoType = vlookup(X0,X2)
& vtcheck(X2,vabs(X4,X5,veabs),X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X2,X5,X3,X1,X0,X4] :
( ( vnoType = vlookup(X0,X2)
& vtcheck(X2,vabs(X4,X5,veabs),X1) )
=> vtcheck(vbind(X0,X3,X2),vabs(X4,X5,veabs),X1) ),
inference(rectify,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X8,X14,X19,X9,X20,X34] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X8,X14,X19,X9,X20,X34] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs') ).
fof(f708,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(vbind(sK47,X3,sK48),vabs(X0,X1,veabs),X2)
| vtcheck(sK48,vabs(X0,X1,veabs),X2)
| sK47 = X0 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f703,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(vbind(sK47,X3,sK48),vabs(X0,X1,veabs),X2)
| sK47 = X0
| vnoType != vnoType
| vtcheck(sK48,vabs(X0,X1,veabs),X2) ),
inference(superposition,[],[f617,f422]) ).
fof(f422,plain,
vnoType = vlookup(sK47,sK48),
inference(cnf_transformation,[],[f283]) ).
fof(f617,plain,
! [X2,X3,X0,X1,X4,X5] :
( vnoType != vlookup(X1,X4)
| X0 = X1
| vtcheck(X4,vabs(X0,X2,veabs),X3)
| ~ vtcheck(vbind(X1,X5,X4),vabs(X0,X2,veabs),X3) ),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X1,X5,X4),vabs(X0,X2,veabs),X3)
| ~ vtcheck(X4,vabs(X0,X2,veabs),X3)
| vnoType != vlookup(X1,X4)
| X0 = X1 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X1,X5,X4),vabs(X0,X2,veabs),X3)
| X0 = X1
| vnoType != vlookup(X1,X4)
| ~ vtcheck(X4,vabs(X0,X2,veabs),X3) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X5,X2,X3,X4,X0,X1] :
( vtcheck(vbind(X2,X1,X0),vabs(X5,X3,veabs),X4)
| X2 = X5
| vnoType != vlookup(X2,X0)
| ~ vtcheck(X0,vabs(X5,X3,veabs),X4) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X5,X3,X2,X1,X4] :
( vtcheck(vbind(X2,X1,X0),vabs(X5,X3,veabs),X4)
| X2 = X5
| vnoType != vlookup(X2,X0)
| ~ vtcheck(X0,vabs(X5,X3,veabs),X4) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X5,X3,X2,X1,X4] :
( ( X2 != X5
& vnoType = vlookup(X2,X0)
& vtcheck(X0,vabs(X5,X3,veabs),X4) )
=> vtcheck(vbind(X2,X1,X0),vabs(X5,X3,veabs),X4) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X19,X9,X8,X34,X14,X20] :
( ( vnoType = vlookup(X8,X19)
& X8 != X20
& vtcheck(X19,vabs(X20,X34,veabs),X14) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-1') ).
fof(f609,plain,
~ vtcheck(sK48,vabs(sK52,sK51,veabs),sK49),
inference(consistent_polarity_flipping,[],[f423]) ).
fof(f423,plain,
vtcheck(sK48,vabs(sK52,sK51,veabs),sK49),
inference(cnf_transformation,[],[f283]) ).
fof(f727,plain,
vtcheck(sK48,vabs(sK47,sK51,veabs),sK49),
inference(resolution,[],[f725,f696]) ).
fof(f696,plain,
! [X2,X0,X1] :
( ~ vtcheck(vbind(sK47,X0,sK48),vabs(sK47,X1,veabs),X2)
| vtcheck(sK48,vabs(sK47,X1,veabs),X2) ),
inference(trivial_inequality_removal,[],[f691]) ).
fof(f691,plain,
! [X2,X0,X1] :
( vnoType != vnoType
| ~ vtcheck(vbind(sK47,X0,sK48),vabs(sK47,X1,veabs),X2)
| vtcheck(sK48,vabs(sK47,X1,veabs),X2) ),
inference(superposition,[],[f613,f422]) ).
fof(f613,plain,
! [X2,X0,X1,X4,X5] :
( vnoType != vlookup(X5,X4)
| ~ vtcheck(vbind(X5,X0,X4),vabs(X5,X1,veabs),X2)
| vtcheck(X4,vabs(X5,X1,veabs),X2) ),
inference(consistent_polarity_flipping,[],[f514]) ).
fof(f514,plain,
! [X2,X0,X1,X4,X5] :
( vnoType != vlookup(X5,X4)
| vtcheck(vbind(X5,X0,X4),vabs(X5,X1,veabs),X2)
| ~ vtcheck(X4,vabs(X5,X1,veabs),X2) ),
inference(equality_resolution,[],[f354]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X5
| ~ vtcheck(X4,vabs(X5,X1,veabs),X2)
| vtcheck(vbind(X3,X0,X4),vabs(X5,X1,veabs),X2)
| vnoType != vlookup(X3,X4) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4,X5] :
( X3 != X5
| ~ vtcheck(X4,vabs(X5,X1,veabs),X2)
| vtcheck(vbind(X3,X0,X4),vabs(X5,X1,veabs),X2)
| vnoType != vlookup(X3,X4) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X5,X3,X4,X0,X2,X1] :
( X0 != X1
| ~ vtcheck(X2,vabs(X1,X3,veabs),X4)
| vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4)
| vnoType != vlookup(X0,X2) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X4,X2,X3,X0,X1,X5] :
( vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4)
| X0 != X1
| ~ vtcheck(X2,vabs(X1,X3,veabs),X4)
| vnoType != vlookup(X0,X2) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X4,X2,X3,X0,X1,X5] :
( ( X0 = X1
& vtcheck(X2,vabs(X1,X3,veabs),X4)
& vnoType = vlookup(X0,X2) )
=> vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X8,X20,X19,X34,X14,X9] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& X8 = X20
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-2') ).
fof(f725,plain,
vtcheck(vbind(sK47,sK50,sK48),vabs(sK47,sK51,veabs),sK49),
inference(superposition,[],[f645,f710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 0.05/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.08/0.27 % Computer : n011.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Aug 29 17:25:54 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.40 % (22372)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.12/0.40 % (22376)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.41 % (22373)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)
% 0.12/0.41 % (22376)Instruction limit reached!
% 0.12/0.41 % (22376)------------------------------
% 0.12/0.41 % (22376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.41 % (22374)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)
% 0.12/0.41 % (22368)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)
% 0.12/0.41 % (22376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.41 % (22376)Termination reason: Unknown
% 0.12/0.41 % (22376)Termination phase: Naming
% 0.12/0.41
% 0.12/0.41 % (22376)Memory used [KB]: 1151
% 0.12/0.41 % (22376)Time elapsed: 0.004 s
% 0.12/0.41 % (22376)Instructions burned: 3 (million)
% 0.12/0.41 % (22376)------------------------------
% 0.12/0.41 % (22376)------------------------------
% 0.12/0.41 % (22387)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)
% 0.12/0.41 % (22389)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.12/0.41 % (22386)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.12/0.42 % (22379)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)
% 0.12/0.42 % (22380)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.12/0.43 % (22394)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)
% 0.12/0.43 % (22392)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.12/0.43 % (22395)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)
% 0.12/0.43 % (22370)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)
% 0.12/0.43 % (22383)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)
% 0.12/0.44 % (22397)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)
% 0.12/0.44 % (22384)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)
% 0.12/0.44 % (22377)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)
% 0.12/0.44 % (22391)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)
% 0.12/0.44 % (22369)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)
% 0.12/0.45 % (22385)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.12/0.45 % (22371)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)
% 0.12/0.45 % (22375)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.45 TRYING [1]
% 0.12/0.45 % (22382)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)
% 0.12/0.45 % (22381)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.12/0.46 % (22390)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)
% 0.12/0.46 % (22396)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.12/0.46 % (22387)First to succeed.
% 0.12/0.46 % (22393)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.12/0.46 % (22387)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (22387)------------------------------
% 0.12/0.46 % (22387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.46 % (22387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.46 % (22387)Termination reason: Refutation
% 0.12/0.46
% 0.12/0.46 % (22387)Memory used [KB]: 1535
% 0.12/0.46 % (22387)Time elapsed: 0.125 s
% 0.12/0.46 % (22387)Instructions burned: 18 (million)
% 0.12/0.46 % (22387)------------------------------
% 0.12/0.46 % (22387)------------------------------
% 0.12/0.46 % (22363)Success in time 0.18 s
%------------------------------------------------------------------------------