TSTP Solution File: SWC049+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC049+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 : n015.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 18:41:24 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 11 unt; 0 def)
% Number of atoms : 175 ( 38 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 191 ( 71 ~; 66 |; 32 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 30 ( 20 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f941,plain,
$false,
inference(avatar_sat_refutation,[],[f481,f490,f491,f492,f497,f671,f673,f936,f938,f940]) ).
fof(f940,plain,
spl51_21,
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f939,plain,
( $false
| spl51_21 ),
inference(resolution,[],[f935,f364]) ).
fof(f364,plain,
ssList(sK27),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ~ rearsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ rearsegP(X0,X4) )
& ssList(X3)
& X1 = X3
& ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X0
| nil != X1 )
& X0 = X2
& ( nil = X2
| nil != X3 ) ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ~ rearsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ rearsegP(X0,X4) )
& X0 = X2
& X1 = X3
& ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( rearsegP(X0,X4)
& neq(X4,nil)
& rearsegP(X1,X4)
& ssList(X4) )
| X0 != X2
| X1 != X3
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ~ rearsegP(X3,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( rearsegP(X0,X4)
& neq(X4,nil)
& rearsegP(X1,X4)
& ssList(X4) )
| X0 != X2
| X1 != X3
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ~ rearsegP(X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f935,plain,
( ~ ssList(sK27)
| spl51_21 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl51_21
<=> ssList(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_21])]) ).
fof(f938,plain,
( ~ spl51_21
| spl51_20 ),
inference(avatar_split_clause,[],[f937,f929,f933]) ).
fof(f929,plain,
( spl51_20
<=> rearsegP(sK27,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_20])]) ).
fof(f937,plain,
( ~ ssList(sK27)
| spl51_20 ),
inference(resolution,[],[f931,f391]) ).
fof(f391,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f931,plain,
( ~ rearsegP(sK27,sK27)
| spl51_20 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f936,plain,
( ~ spl51_20
| ~ spl51_21
| ~ spl51_6
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f921,f494,f483,f933,f929]) ).
fof(f483,plain,
( spl51_6
<=> neq(sK27,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f494,plain,
( spl51_8
<=> rearsegP(sK28,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f921,plain,
( ~ neq(sK27,nil)
| ~ ssList(sK27)
| ~ rearsegP(sK27,sK27)
| ~ spl51_8 ),
inference(resolution,[],[f354,f496]) ).
fof(f496,plain,
( rearsegP(sK28,sK27)
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f354,plain,
! [X4] :
( ~ rearsegP(sK28,X4)
| ~ ssList(X4)
| ~ rearsegP(sK27,X4)
| ~ neq(X4,nil) ),
inference(cnf_transformation,[],[f164]) ).
fof(f673,plain,
spl51_15,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| spl51_15 ),
inference(resolution,[],[f670,f423]) ).
fof(f423,plain,
ssList(sK28),
inference(definition_unfolding,[],[f361,f360]) ).
fof(f360,plain,
sK30 = sK28,
inference(cnf_transformation,[],[f164]) ).
fof(f361,plain,
ssList(sK30),
inference(cnf_transformation,[],[f164]) ).
fof(f670,plain,
( ~ ssList(sK28)
| spl51_15 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl51_15
<=> ssList(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f671,plain,
( ~ spl51_2
| ~ spl51_15
| spl51_4
| spl51_7 ),
inference(avatar_split_clause,[],[f662,f487,f474,f668,f464]) ).
fof(f464,plain,
( spl51_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f474,plain,
( spl51_4
<=> nil = sK28 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f487,plain,
( spl51_7
<=> neq(sK28,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f662,plain,
( nil = sK28
| ~ ssList(sK28)
| ~ ssList(nil)
| spl51_7 ),
inference(resolution,[],[f291,f489]) ).
fof(f489,plain,
( ~ neq(sK28,nil)
| spl51_7 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f291,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f497,plain,
( ~ spl51_7
| spl51_8 ),
inference(avatar_split_clause,[],[f425,f494,f487]) ).
fof(f425,plain,
( rearsegP(sK28,sK27)
| ~ neq(sK28,nil) ),
inference(definition_unfolding,[],[f356,f360,f360,f359]) ).
fof(f359,plain,
sK29 = sK27,
inference(cnf_transformation,[],[f164]) ).
fof(f356,plain,
( ~ neq(sK30,nil)
| rearsegP(sK30,sK29) ),
inference(cnf_transformation,[],[f164]) ).
fof(f492,plain,
spl51_2,
inference(avatar_split_clause,[],[f224,f464]) ).
fof(f224,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f491,plain,
( ~ spl51_4
| spl51_5 ),
inference(avatar_split_clause,[],[f424,f478,f474]) ).
fof(f478,plain,
( spl51_5
<=> nil = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f424,plain,
( nil = sK27
| nil != sK28 ),
inference(definition_unfolding,[],[f358,f360,f359]) ).
fof(f358,plain,
( nil != sK30
| nil = sK29 ),
inference(cnf_transformation,[],[f164]) ).
fof(f490,plain,
( spl51_6
| ~ spl51_7 ),
inference(avatar_split_clause,[],[f426,f487,f483]) ).
fof(f426,plain,
( ~ neq(sK28,nil)
| neq(sK27,nil) ),
inference(definition_unfolding,[],[f355,f360,f359]) ).
fof(f355,plain,
( ~ neq(sK30,nil)
| neq(sK29,nil) ),
inference(cnf_transformation,[],[f164]) ).
fof(f481,plain,
( ~ spl51_4
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f357,f478,f474]) ).
fof(f357,plain,
( nil != sK27
| nil != sK28 ),
inference(cnf_transformation,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.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 18:13:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (17307)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)
% 0.20/0.51 % (17324)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)
% 0.20/0.51 % (17329)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)
% 0.20/0.51 % (17305)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)
% 0.20/0.51 % (17323)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (17312)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (17310)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (17310)Instruction limit reached!
% 0.20/0.51 % (17310)------------------------------
% 0.20/0.51 % (17310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17310)Termination reason: Unknown
% 0.20/0.51 % (17310)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (17310)Memory used [KB]: 1151
% 0.20/0.51 % (17310)Time elapsed: 0.003 s
% 0.20/0.51 % (17310)Instructions burned: 4 (million)
% 0.20/0.51 % (17310)------------------------------
% 0.20/0.51 % (17310)------------------------------
% 0.20/0.51 % (17308)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)
% 0.20/0.52 % (17322)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)
% 0.20/0.53 % (17301)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 % (17325)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)
% 0.20/0.53 % (17332)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)
% 0.20/0.53 % (17306)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 % (17304)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 % (17317)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)
% 0.20/0.54 % (17328)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 % (17314)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 % (17302)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 % (17318)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)
% 0.20/0.54 % (17326)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 % (17320)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (17330)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)
% 0.20/0.54 % (17311)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 % (17309)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (17331)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 % (17315)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (17319)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (17321)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 % (17305)First to succeed.
% 0.20/0.55 % (17309)Instruction limit reached!
% 0.20/0.55 % (17309)------------------------------
% 0.20/0.55 % (17309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17302)Refutation not found, incomplete strategy% (17302)------------------------------
% 0.20/0.55 % (17302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17313)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 % (17316)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)
% 0.20/0.55 % (17309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17309)Termination reason: Unknown
% 0.20/0.55 % (17309)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (17309)Memory used [KB]: 1279
% 0.20/0.55 % (17309)Time elapsed: 0.008 s
% 0.20/0.55 % (17309)Instructions burned: 8 (million)
% 0.20/0.55 % (17309)------------------------------
% 0.20/0.55 % (17309)------------------------------
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 % (17325)Also succeeded, but the first one will report.
% 0.20/0.57 % (17305)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (17305)------------------------------
% 0.20/0.57 % (17305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (17305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (17305)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (17305)Memory used [KB]: 6268
% 0.20/0.57 % (17305)Time elapsed: 0.137 s
% 0.20/0.57 % (17305)Instructions burned: 33 (million)
% 0.20/0.57 % (17305)------------------------------
% 0.20/0.57 % (17305)------------------------------
% 0.20/0.57 % (17297)Success in time 0.212 s
%------------------------------------------------------------------------------