TSTP Solution File: SWC116+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC116+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 : n019.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 18:41:50 EDT 2022
% Result : Theorem 1.34s 0.52s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 8 unt; 0 def)
% Number of atoms : 276 ( 98 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 345 ( 119 ~; 97 |; 107 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 16 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1029,plain,
$false,
inference(avatar_sat_refutation,[],[f608,f622,f631,f636,f637,f642,f1028]) ).
fof(f1028,plain,
( ~ spl57_1
| spl57_4
| spl57_6 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1027,plain,
( $false
| ~ spl57_1
| spl57_4
| spl57_6 ),
inference(subsumption_resolution,[],[f1026,f558]) ).
fof(f558,plain,
ssList(sK32),
inference(definition_unfolding,[],[f478,f471]) ).
fof(f471,plain,
sK30 = sK32,
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ssList(sK30)
& ( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) )
& ( nil = sK31
| nil != sK32 )
& ( nil != sK29
| nil != sK30 )
& sK31 = sK29
& ( ( segmentP(sK32,sK31)
& neq(sK31,nil) )
| ~ neq(sK32,nil) )
& sK30 = sK32
& ssList(sK32)
& ssList(sK31)
& ssList(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32])],[f191,f297,f296,f295,f294]) ).
fof(f294,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ( nil = X2
| nil != X3 )
& ( nil != X0
| nil != X1 )
& X0 = X2
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ~ segmentP(X1,sK29)
| ~ neq(sK29,nil) )
& ( nil = X2
| nil != X3 )
& ( nil != sK29
| nil != X1 )
& sK29 = X2
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ~ segmentP(X1,sK29)
| ~ neq(sK29,nil) )
& ( nil = X2
| nil != X3 )
& ( nil != sK29
| nil != X1 )
& sK29 = X2
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
=> ( ssList(sK30)
& ? [X2] :
( ? [X3] :
( ( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) )
& ( nil = X2
| nil != X3 )
& ( nil != sK29
| nil != sK30 )
& sK29 = X2
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& sK30 = X3
& ssList(X3) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
( ? [X2] :
( ? [X3] :
( ( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) )
& ( nil = X2
| nil != X3 )
& ( nil != sK29
| nil != sK30 )
& sK29 = X2
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& sK30 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) )
& ( nil = sK31
| nil != X3 )
& ( nil != sK29
| nil != sK30 )
& sK31 = sK29
& ( ( segmentP(X3,sK31)
& neq(sK31,nil) )
| ~ neq(X3,nil) )
& sK30 = X3
& ssList(X3) )
& ssList(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ? [X3] :
( ( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) )
& ( nil = sK31
| nil != X3 )
& ( nil != sK29
| nil != sK30 )
& sK31 = sK29
& ( ( segmentP(X3,sK31)
& neq(sK31,nil) )
| ~ neq(X3,nil) )
& sK30 = X3
& ssList(X3) )
=> ( ( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) )
& ( nil = sK31
| nil != sK32 )
& ( nil != sK29
| nil != sK30 )
& sK31 = sK29
& ( ( segmentP(sK32,sK31)
& neq(sK31,nil) )
| ~ neq(sK32,nil) )
& sK30 = sK32
& ssList(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ( nil = X2
| nil != X3 )
& ( nil != X0
| nil != X1 )
& X0 = X2
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ( ( segmentP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil = X2
| nil != X3 )
& ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& X0 = X2
& ( nil != X0
| nil != X1 )
& 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)
=> ( X1 != X3
| ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ( neq(X0,nil)
& segmentP(X1,X0) )
| X0 != X2
| ( nil = X0
& nil = X1 ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ( neq(X0,nil)
& segmentP(X1,X0) )
| X0 != X2
| ( nil = X0
& nil = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f478,plain,
ssList(sK30),
inference(cnf_transformation,[],[f298]) ).
fof(f1026,plain,
( ~ ssList(sK32)
| ~ spl57_1
| spl57_4
| spl57_6 ),
inference(subsumption_resolution,[],[f1025,f617]) ).
fof(f617,plain,
( nil != sK32
| spl57_4 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl57_4
<=> nil = sK32 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_4])]) ).
fof(f1025,plain,
( nil = sK32
| ~ ssList(sK32)
| ~ spl57_1
| spl57_6 ),
inference(subsumption_resolution,[],[f1020,f601]) ).
fof(f601,plain,
( ssList(nil)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f600,plain,
( spl57_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_1])]) ).
fof(f1020,plain,
( ~ ssList(nil)
| ~ ssList(sK32)
| nil = sK32
| spl57_6 ),
inference(resolution,[],[f353,f626]) ).
fof(f626,plain,
( ~ neq(sK32,nil)
| spl57_6 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f624,plain,
( spl57_6
<=> neq(sK32,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_6])]) ).
fof(f353,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f642,plain,
( ~ spl57_4
| spl57_5 ),
inference(avatar_split_clause,[],[f560,f619,f615]) ).
fof(f619,plain,
( spl57_5
<=> nil = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_5])]) ).
fof(f560,plain,
( nil = sK29
| nil != sK32 ),
inference(definition_unfolding,[],[f476,f474]) ).
fof(f474,plain,
sK31 = sK29,
inference(cnf_transformation,[],[f298]) ).
fof(f476,plain,
( nil = sK31
| nil != sK32 ),
inference(cnf_transformation,[],[f298]) ).
fof(f637,plain,
( ~ spl57_8
| ~ spl57_7 ),
inference(avatar_split_clause,[],[f559,f628,f633]) ).
fof(f633,plain,
( spl57_8
<=> neq(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_8])]) ).
fof(f628,plain,
( spl57_7
<=> segmentP(sK32,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_7])]) ).
fof(f559,plain,
( ~ segmentP(sK32,sK29)
| ~ neq(sK29,nil) ),
inference(definition_unfolding,[],[f477,f471]) ).
fof(f477,plain,
( ~ segmentP(sK30,sK29)
| ~ neq(sK29,nil) ),
inference(cnf_transformation,[],[f298]) ).
fof(f636,plain,
( spl57_8
| ~ spl57_6 ),
inference(avatar_split_clause,[],[f563,f624,f633]) ).
fof(f563,plain,
( ~ neq(sK32,nil)
| neq(sK29,nil) ),
inference(definition_unfolding,[],[f472,f474]) ).
fof(f472,plain,
( neq(sK31,nil)
| ~ neq(sK32,nil) ),
inference(cnf_transformation,[],[f298]) ).
fof(f631,plain,
( ~ spl57_6
| spl57_7 ),
inference(avatar_split_clause,[],[f562,f628,f624]) ).
fof(f562,plain,
( segmentP(sK32,sK29)
| ~ neq(sK32,nil) ),
inference(definition_unfolding,[],[f473,f474]) ).
fof(f473,plain,
( segmentP(sK32,sK31)
| ~ neq(sK32,nil) ),
inference(cnf_transformation,[],[f298]) ).
fof(f622,plain,
( ~ spl57_4
| ~ spl57_5 ),
inference(avatar_split_clause,[],[f561,f619,f615]) ).
fof(f561,plain,
( nil != sK29
| nil != sK32 ),
inference(definition_unfolding,[],[f475,f471]) ).
fof(f475,plain,
( nil != sK29
| nil != sK30 ),
inference(cnf_transformation,[],[f298]) ).
fof(f608,plain,
spl57_1,
inference(avatar_split_clause,[],[f451,f600]) ).
fof(f451,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC116+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:19:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 % (3881)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)
% 0.20/0.47 % (3895)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)
% 0.20/0.48 % (3903)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.48 % (3887)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (3887)Instruction limit reached!
% 0.20/0.49 % (3887)------------------------------
% 0.20/0.49 % (3887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (3879)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)
% 0.20/0.50 % (3880)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)
% 0.20/0.50 % (3887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (3887)Termination reason: Unknown
% 0.20/0.50 % (3887)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (3887)Memory used [KB]: 1151
% 0.20/0.50 % (3887)Time elapsed: 0.003 s
% 0.20/0.50 % (3887)Instructions burned: 3 (million)
% 0.20/0.50 % (3887)------------------------------
% 0.20/0.50 % (3887)------------------------------
% 0.20/0.50 % (3888)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)
% 0.20/0.50 % (3896)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (3893)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)
% 0.20/0.50 % (3884)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 % (3885)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)
% 0.20/0.51 % (3881)Instruction limit reached!
% 0.20/0.51 % (3881)------------------------------
% 0.20/0.51 % (3881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3881)Termination reason: Unknown
% 0.20/0.51 % (3881)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (3881)Memory used [KB]: 1791
% 0.20/0.51 % (3881)Time elapsed: 0.123 s
% 0.20/0.51 % (3881)Instructions burned: 37 (million)
% 0.20/0.51 % (3881)------------------------------
% 0.20/0.51 % (3881)------------------------------
% 0.20/0.51 % (3905)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 % (3897)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (3894)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)
% 0.20/0.52 % (3903)First to succeed.
% 1.34/0.52 % (3904)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.34/0.52 % (3900)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.34/0.52 % (3898)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)
% 1.34/0.52 % (3899)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)
% 1.34/0.52 % (3889)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.52 % (3903)Refutation found. Thanks to Tanya!
% 1.34/0.52 % SZS status Theorem for theBenchmark
% 1.34/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.52 % (3903)------------------------------
% 1.34/0.52 % (3903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (3903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (3903)Termination reason: Refutation
% 1.34/0.52
% 1.34/0.52 % (3903)Memory used [KB]: 6268
% 1.34/0.52 % (3903)Time elapsed: 0.127 s
% 1.34/0.52 % (3903)Instructions burned: 30 (million)
% 1.34/0.52 % (3903)------------------------------
% 1.34/0.52 % (3903)------------------------------
% 1.34/0.52 % (3874)Success in time 0.176 s
%------------------------------------------------------------------------------