TSTP Solution File: SWC103+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC103+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 : n002.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 18:41:45 EDT 2022
% Result : Theorem 1.44s 0.55s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 86 ( 18 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 97 ( 33 ~; 27 |; 26 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f496,plain,
$false,
inference(avatar_sat_refutation,[],[f478,f483,f484,f495]) ).
fof(f495,plain,
( ~ spl51_5
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f426,f471,f480]) ).
fof(f480,plain,
( spl51_5
<=> neq(sK41,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f471,plain,
( spl51_3
<=> frontsegP(sK44,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f426,plain,
( ~ frontsegP(sK44,sK41)
| ~ neq(sK41,nil) ),
inference(definition_unfolding,[],[f372,f374]) ).
fof(f374,plain,
sK42 = sK44,
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& X0 = X2
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) )
& ( nil = X2
| nil != X3 )
& ssList(X3)
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ~ neq(X3,nil) )
& X1 = X3 )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ( nil = X2
| nil != X3 )
& X0 = X2
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) )
& neq(X1,nil)
& ( ( frontsegP(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)
=> ( X1 != X3
| ( nil = X3
& nil != X2 )
| X0 != X2
| ( neq(X0,nil)
& frontsegP(X1,X0) )
| ~ neq(X1,nil)
| ( neq(X3,nil)
& ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( nil = X3
& nil != X2 )
| X0 != X2
| ( neq(X0,nil)
& frontsegP(X1,X0) )
| ~ neq(X1,nil)
| ( neq(X3,nil)
& ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f372,plain,
( ~ frontsegP(sK42,sK41)
| ~ neq(sK41,nil) ),
inference(cnf_transformation,[],[f210]) ).
fof(f484,plain,
spl51_4,
inference(avatar_split_clause,[],[f424,f475]) ).
fof(f475,plain,
( spl51_4
<=> neq(sK44,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f424,plain,
neq(sK44,nil),
inference(definition_unfolding,[],[f377,f374]) ).
fof(f377,plain,
neq(sK42,nil),
inference(cnf_transformation,[],[f210]) ).
fof(f483,plain,
( spl51_5
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f428,f475,f480]) ).
fof(f428,plain,
( ~ neq(sK44,nil)
| neq(sK41,nil) ),
inference(definition_unfolding,[],[f370,f376]) ).
fof(f376,plain,
sK43 = sK41,
inference(cnf_transformation,[],[f210]) ).
fof(f370,plain,
( ~ neq(sK44,nil)
| neq(sK43,nil) ),
inference(cnf_transformation,[],[f210]) ).
fof(f478,plain,
( spl51_3
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f427,f475,f471]) ).
fof(f427,plain,
( ~ neq(sK44,nil)
| frontsegP(sK44,sK41) ),
inference(definition_unfolding,[],[f371,f376]) ).
fof(f371,plain,
( ~ neq(sK44,nil)
| frontsegP(sK44,sK43) ),
inference(cnf_transformation,[],[f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC103+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
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:30:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (28667)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)
% 0.19/0.52 % (28678)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)
% 0.19/0.52 % (28668)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.33/0.52 % (28670)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)
% 1.33/0.52 % (28660)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.52 % (28664)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.52 % (28661)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)
% 1.33/0.52 % (28657)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)
% 1.33/0.52 % (28667)First to succeed.
% 1.33/0.52 % (28658)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)
% 1.33/0.53 % (28659)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)
% 1.33/0.53 % (28662)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)
% 1.33/0.53 % (28673)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.33/0.53 % (28671)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)
% 1.33/0.53 % (28682)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)
% 1.33/0.53 % (28664)Instruction limit reached!
% 1.33/0.53 % (28664)------------------------------
% 1.33/0.53 % (28664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (28664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (28664)Termination reason: Unknown
% 1.33/0.53 % (28664)Termination phase: Preprocessing 2
% 1.33/0.53
% 1.33/0.53 % (28664)Memory used [KB]: 1023
% 1.33/0.53 % (28664)Time elapsed: 0.003 s
% 1.33/0.53 % (28664)Instructions burned: 2 (million)
% 1.33/0.53 % (28664)------------------------------
% 1.33/0.53 % (28664)------------------------------
% 1.33/0.53 % (28656)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)
% 1.33/0.53 % (28681)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.33/0.53 % (28684)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.54 % (28685)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)
% 1.44/0.54 % (28660)Also succeeded, but the first one will report.
% 1.44/0.54 % (28680)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54 % (28675)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)
% 1.44/0.54 % (28676)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)
% 1.44/0.54 % (28674)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54 % (28677)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.54 % (28665)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)
% 1.44/0.55 % (28667)Refutation found. Thanks to Tanya!
% 1.44/0.55 % SZS status Theorem for theBenchmark
% 1.44/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.55 % (28667)------------------------------
% 1.44/0.55 % (28667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (28667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (28667)Termination reason: Refutation
% 1.44/0.55
% 1.44/0.55 % (28667)Memory used [KB]: 5756
% 1.44/0.55 % (28667)Time elapsed: 0.008 s
% 1.44/0.55 % (28667)Instructions burned: 12 (million)
% 1.44/0.55 % (28667)------------------------------
% 1.44/0.55 % (28667)------------------------------
% 1.44/0.55 % (28655)Success in time 0.198 s
%------------------------------------------------------------------------------