TSTP Solution File: SWC038+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC038+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 : n009.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 18:41:20 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 181 ( 97 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 191 ( 39 ~; 36 |; 101 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 37 ( 13 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f757,plain,
$false,
inference(trivial_inequality_removal,[],[f756]) ).
fof(f756,plain,
sK55 != sK55,
inference(superposition,[],[f614,f679]) ).
fof(f679,plain,
sK56 = sK55,
inference(resolution,[],[f677,f613]) ).
fof(f613,plain,
ssList(sK55),
inference(definition_unfolding,[],[f547,f543]) ).
fof(f543,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f345]) ).
fof(f345,plain,
( ssList(sK53)
& ssList(sK55)
& ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& nil != sK53
& ( ( nil = sK55
& nil = sK56 )
| ( frontsegP(sK56,sK55)
& neq(sK55,nil) ) )
& nil = sK54
& ssList(sK54) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f113,f344,f343,f342,f341]) ).
fof(f341,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& nil != X0
& ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& nil = X1 ) )
& ssList(X1) ) )
=> ( ssList(sK53)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& sK53 = X2
& nil != sK53
& ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& nil = X1 ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& sK53 = X2
& nil != sK53
& ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& nil = X1 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& sK54 = X3
& sK53 = X2
& nil != sK53
& ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& nil = sK54 ) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& sK54 = X3
& sK53 = X2
& nil != sK53
& ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& nil = sK54 ) )
=> ( ssList(sK55)
& ? [X3] :
( ssList(X3)
& sK54 = X3
& sK53 = sK55
& nil != sK53
& ( ( nil = sK55
& nil = X3 )
| ( frontsegP(X3,sK55)
& neq(sK55,nil) ) )
& nil = sK54 ) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X3] :
( ssList(X3)
& sK54 = X3
& sK53 = sK55
& nil != sK53
& ( ( nil = sK55
& nil = X3 )
| ( frontsegP(X3,sK55)
& neq(sK55,nil) ) )
& nil = sK54 )
=> ( ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& nil != sK53
& ( ( nil = sK55
& nil = sK56 )
| ( frontsegP(sK56,sK55)
& neq(sK55,nil) ) )
& nil = sK54 ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& nil != X0
& ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& nil = X1 ) )
& ssList(X1) ) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ( frontsegP(X3,X2)
& neq(X2,nil) ) )
& X1 = X3
& X0 = X2
& nil = X1
& nil != X0
& 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)
=> ( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X3
| nil != X2 ) )
| X1 != X3
| X0 != X2
| nil != X1
| nil = X0 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X3
| nil != X2 ) )
| X1 != X3
| X0 != X2
| nil != X1
| nil = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f547,plain,
ssList(sK53),
inference(cnf_transformation,[],[f345]) ).
fof(f677,plain,
( ~ ssList(sK55)
| sK56 = sK55 ),
inference(duplicate_literal_removal,[],[f675]) ).
fof(f675,plain,
( sK56 = sK55
| sK56 = sK55
| ~ ssList(sK55) ),
inference(resolution,[],[f621,f615]) ).
fof(f615,plain,
( frontsegP(sK56,sK55)
| sK56 = sK55 ),
inference(definition_unfolding,[],[f541,f559]) ).
fof(f559,plain,
nil = sK56,
inference(definition_unfolding,[],[f537,f544]) ).
fof(f544,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f345]) ).
fof(f537,plain,
nil = sK54,
inference(cnf_transformation,[],[f345]) ).
fof(f541,plain,
( nil = sK55
| frontsegP(sK56,sK55) ),
inference(cnf_transformation,[],[f345]) ).
fof(f621,plain,
! [X0] :
( ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| sK56 = X0 ),
inference(definition_unfolding,[],[f550,f559,f559]) ).
fof(f550,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ~ ssList(X0)
| ( ( nil = X0
| ~ frontsegP(nil,X0) )
& ( frontsegP(nil,X0)
| nil != X0 ) ) ),
inference(nnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ~ ssList(X0)
| ( nil = X0
<=> frontsegP(nil,X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> frontsegP(nil,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f614,plain,
sK56 != sK55,
inference(definition_unfolding,[],[f542,f559,f543]) ).
fof(f542,plain,
nil != sK53,
inference(cnf_transformation,[],[f345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC038+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % 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 : n009.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 18:02:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (27336)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)
% 0.20/0.51 % (27344)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (27352)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (27335)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (27327)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 % (27328)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 % (27331)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (27337)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (27330)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 % (27349)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (27329)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)
% 0.20/0.54 % (27341)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 % (27334)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 % (27345)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (27339)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (27354)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)
% 0.20/0.55 % (27342)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)
% 0.20/0.55 % (27333)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)
% 0.20/0.55 % (27343)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 % (27346)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 % (27350)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 % (27336)First to succeed.
% 0.20/0.56 % (27338)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)
% 0.20/0.56 % (27336)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (27336)------------------------------
% 0.20/0.56 % (27336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (27336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (27336)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (27336)Memory used [KB]: 1535
% 0.20/0.56 % (27336)Time elapsed: 0.158 s
% 0.20/0.56 % (27336)Instructions burned: 19 (million)
% 0.20/0.56 % (27336)------------------------------
% 0.20/0.56 % (27336)------------------------------
% 0.20/0.56 % (27326)Success in time 0.212 s
%------------------------------------------------------------------------------