TSTP Solution File: SWC006+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC006+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n029.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 18:41:10 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 253 ( 102 equ)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 321 ( 95 ~; 76 |; 128 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 122 ( 57 !; 65 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f609,plain,
$false,
inference(subsumption_resolution,[],[f608,f498]) ).
fof(f498,plain,
ssList(sK49),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ssList(sK49)
& ssList(sK50)
& app(app(sK48,sK49),sK50) = sK47
& sK46 = app(sK48,sK50)
& ssList(sK48)
& sK45 = sK47
& sK44 = sK46
& ssList(sK47)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) )
& ssList(sK46)
& ssList(sK45)
& ssList(sK44) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48,sK49,sK50])],[f145,f321,f320,f319,f318,f317,f316,f315]) ).
fof(f315,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = X2 ) )
& ssList(X4) )
& X1 = X3
& X0 = X2
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != X1
| app(X7,X9) != X0
| ~ ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = X2 ) )
& ssList(X4) )
& X1 = X3
& sK44 = X2
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != X1
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = X2 ) )
& ssList(X4) )
& X1 = X3
& sK44 = X2
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != X1
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = X2 ) )
& ssList(X4) )
& sK45 = X3
& sK44 = X2
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = X2 ) )
& ssList(X4) )
& sK45 = X3
& sK44 = X2
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = sK46 ) )
& ssList(X4) )
& sK45 = X3
& sK44 = sK46
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) )
& ssList(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = sK46 ) )
& ssList(X4) )
& sK45 = X3
& sK44 = sK46
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) )
=> ( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = sK47
& app(X4,X6) = sK46 ) )
& ssList(X4) )
& sK45 = sK47
& sK44 = sK46
& ssList(sK47)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = sK47
& app(X4,X6) = sK46 ) )
& ssList(X4) )
=> ( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(sK48,X5),X6) = sK47
& app(sK48,X6) = sK46 ) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(sK48,X5),X6) = sK47
& app(sK48,X6) = sK46 ) )
=> ( ssList(sK49)
& ? [X6] :
( ssList(X6)
& app(app(sK48,sK49),X6) = sK47
& app(sK48,X6) = sK46 ) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
( ? [X6] :
( ssList(X6)
& app(app(sK48,sK49),X6) = sK47
& app(sK48,X6) = sK46 )
=> ( ssList(sK50)
& app(app(sK48,sK49),sK50) = sK47
& sK46 = app(sK48,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X3
& app(X4,X6) = X2 ) )
& ssList(X4) )
& X1 = X3
& X0 = X2
& ssList(X3)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(app(X7,X8),X9) != X1
| app(X7,X9) != X0
| ~ ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ~ ssList(X3)
| X0 != X2
| ? [X7] :
( ? [X8] :
( ssList(X8)
& ? [X9] :
( app(X7,X9) = X0
& app(app(X7,X8),X9) = X1
& ssList(X9) ) )
& ssList(X7) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(X4,X6) != X2
| app(app(X4,X5),X6) != X3 ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( app(app(X7,X8),X9) != X3
| app(X7,X9) != X2
| ~ ssList(X9) ) ) )
| X0 != X2
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(X4,X6) = X0
& app(app(X4,X5),X6) = X1
& ssList(X6) ) )
& ssList(X4) )
| X1 != X3 ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( app(app(X7,X8),X9) != X3
| app(X7,X9) != X2
| ~ ssList(X9) ) ) )
| X0 != X2
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(X4,X6) = X0
& app(app(X4,X5),X6) = X1
& ssList(X6) ) )
& ssList(X4) )
| X1 != X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f608,plain,
~ ssList(sK49),
inference(subsumption_resolution,[],[f607,f497]) ).
fof(f497,plain,
ssList(sK50),
inference(cnf_transformation,[],[f322]) ).
fof(f607,plain,
( ~ ssList(sK50)
| ~ ssList(sK49) ),
inference(subsumption_resolution,[],[f606,f495]) ).
fof(f495,plain,
sK46 = app(sK48,sK50),
inference(cnf_transformation,[],[f322]) ).
fof(f606,plain,
( sK46 != app(sK48,sK50)
| ~ ssList(sK49)
| ~ ssList(sK50) ),
inference(subsumption_resolution,[],[f602,f494]) ).
fof(f494,plain,
ssList(sK48),
inference(cnf_transformation,[],[f322]) ).
fof(f602,plain,
( ~ ssList(sK48)
| ~ ssList(sK50)
| ~ ssList(sK49)
| sK46 != app(sK48,sK50) ),
inference(trivial_inequality_removal,[],[f601]) ).
fof(f601,plain,
( sK47 != sK47
| ~ ssList(sK48)
| ~ ssList(sK49)
| ~ ssList(sK50)
| sK46 != app(sK48,sK50) ),
inference(superposition,[],[f562,f496]) ).
fof(f496,plain,
app(app(sK48,sK49),sK50) = sK47,
inference(cnf_transformation,[],[f322]) ).
fof(f562,plain,
! [X8,X9,X7] :
( app(app(X7,X8),X9) != sK47
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X9)
| app(X7,X9) != sK46 ),
inference(definition_unfolding,[],[f490,f493,f492]) ).
fof(f492,plain,
sK44 = sK46,
inference(cnf_transformation,[],[f322]) ).
fof(f493,plain,
sK45 = sK47,
inference(cnf_transformation,[],[f322]) ).
fof(f490,plain,
! [X8,X9,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| app(app(X7,X8),X9) != sK45
| app(X7,X9) != sK44
| ~ ssList(X9) ),
inference(cnf_transformation,[],[f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC006+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:03:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (4065)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)
% 0.20/0.49 % (4049)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (4044)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (4041)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)
% 0.20/0.52 % (4043)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (4040)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 % (4057)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (4038)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 % (4058)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 % (4045)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)
% 0.20/0.53 % (4050)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 % (4061)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (4036)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)
% 0.20/0.54 % (4037)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 % (4062)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)
% 0.20/0.54 % (4039)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)
% 0.20/0.54 % (4044)Instruction limit reached!
% 0.20/0.54 % (4044)------------------------------
% 0.20/0.54 % (4044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4044)Termination reason: Unknown
% 0.20/0.54 % (4044)Termination phase: Preprocessing 1
% 0.20/0.54
% 0.20/0.54 % (4044)Memory used [KB]: 895
% 0.20/0.54 % (4044)Time elapsed: 0.003 s
% 0.20/0.54 % (4044)Instructions burned: 2 (million)
% 0.20/0.54 % (4044)------------------------------
% 0.20/0.54 % (4044)------------------------------
% 0.20/0.54 % (4043)Instruction limit reached!
% 0.20/0.54 % (4043)------------------------------
% 0.20/0.54 % (4043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4043)Termination reason: Unknown
% 0.20/0.54 % (4043)Termination phase: Function definition elimination
% 0.20/0.54
% 0.20/0.54 % (4043)Memory used [KB]: 1279
% 0.20/0.54 % (4043)Time elapsed: 0.006 s
% 0.20/0.54 % (4043)Instructions burned: 8 (million)
% 0.20/0.54 % (4043)------------------------------
% 0.20/0.54 % (4043)------------------------------
% 0.20/0.54 % (4064)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (4060)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 % (4059)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)
% 0.20/0.55 % (4056)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)
% 0.20/0.55 % (4052)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)
% 0.20/0.55 % (4058)First to succeed.
% 0.20/0.55 % (4053)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (4055)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)
% 0.20/0.55 % (4054)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (4058)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (4058)------------------------------
% 0.20/0.55 % (4058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4058)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (4058)Memory used [KB]: 1407
% 0.20/0.55 % (4058)Time elapsed: 0.108 s
% 0.20/0.55 % (4058)Instructions burned: 11 (million)
% 0.20/0.55 % (4058)------------------------------
% 0.20/0.55 % (4058)------------------------------
% 0.20/0.55 % (4035)Success in time 0.193 s
%------------------------------------------------------------------------------