TSTP Solution File: SWC349+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC349+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 : n010.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 18:43:19 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 120 ( 42 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 125 ( 25 ~; 11 |; 76 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 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 : 36 ( 12 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f676,plain,
$false,
inference(unit_resulting_resolution,[],[f468,f591,f583]) ).
fof(f583,plain,
! [X0] :
( frontsegP(X0,sK37)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f418,f466]) ).
fof(f466,plain,
nil = sK37,
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
( ssList(sK35)
& neq(sK36,nil)
& ssList(sK38)
& sK35 = sK37
& nil = sK37
& ~ frontsegP(sK36,sK35)
& sK36 = sK38
& ssList(sK37)
& ssList(sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38])],[f133,f305,f304,f303,f302]) ).
fof(f302,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ssList(X3)
& X0 = X2
& nil = X2
& ~ frontsegP(X1,X0)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK35)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ssList(X3)
& sK35 = X2
& nil = X2
& ~ frontsegP(X1,sK35)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ssList(X3)
& sK35 = X2
& nil = X2
& ~ frontsegP(X1,sK35)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( neq(sK36,nil)
& ssList(X3)
& sK35 = X2
& nil = X2
& ~ frontsegP(sK36,sK35)
& sK36 = X3 )
& ssList(X2) )
& ssList(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
( ? [X2] :
( ? [X3] :
( neq(sK36,nil)
& ssList(X3)
& sK35 = X2
& nil = X2
& ~ frontsegP(sK36,sK35)
& sK36 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( neq(sK36,nil)
& ssList(X3)
& sK35 = sK37
& nil = sK37
& ~ frontsegP(sK36,sK35)
& sK36 = X3 )
& ssList(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
( ? [X3] :
( neq(sK36,nil)
& ssList(X3)
& sK35 = sK37
& nil = sK37
& ~ frontsegP(sK36,sK35)
& sK36 = X3 )
=> ( neq(sK36,nil)
& ssList(sK38)
& sK35 = sK37
& nil = sK37
& ~ frontsegP(sK36,sK35)
& sK36 = sK38 ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ssList(X3)
& X0 = X2
& nil = X2
& ~ frontsegP(X1,X0)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& X0 = X2
& nil = X2
& ~ frontsegP(X1,X0)
& X1 = X3
& 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)
=> ( ~ neq(X1,nil)
| X0 != X2
| nil != X2
| frontsegP(X1,X0)
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| X0 != X2
| nil != X2
| frontsegP(X1,X0)
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f418,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f591,plain,
~ frontsegP(sK38,sK37),
inference(definition_unfolding,[],[f465,f464,f467]) ).
fof(f467,plain,
sK35 = sK37,
inference(cnf_transformation,[],[f306]) ).
fof(f464,plain,
sK36 = sK38,
inference(cnf_transformation,[],[f306]) ).
fof(f465,plain,
~ frontsegP(sK36,sK35),
inference(cnf_transformation,[],[f306]) ).
fof(f468,plain,
ssList(sK38),
inference(cnf_transformation,[],[f306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC349+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % 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 : n010.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 18:41:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (20426)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (20419)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)
% 0.19/0.50 % (20426)Instruction limit reached!
% 0.19/0.50 % (20426)------------------------------
% 0.19/0.50 % (20426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (20426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (20426)Termination reason: Unknown
% 0.19/0.50 % (20426)Termination phase: Unused predicate definition removal
% 0.19/0.50
% 0.19/0.50 % (20426)Memory used [KB]: 1023
% 0.19/0.50 % (20426)Time elapsed: 0.004 s
% 0.19/0.50 % (20426)Instructions burned: 2 (million)
% 0.19/0.50 % (20426)------------------------------
% 0.19/0.50 % (20426)------------------------------
% 0.19/0.50 % (20441)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)
% 0.19/0.50 % (20440)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)
% 0.19/0.51 % (20444)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)
% 0.19/0.51 % (20429)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)
% 0.19/0.51 % (20428)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (20418)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)
% 0.19/0.51 % (20427)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)
% 0.19/0.51 % (20433)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)
% 0.19/0.51 % (20425)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (20419)First to succeed.
% 0.19/0.52 % (20425)Instruction limit reached!
% 0.19/0.52 % (20425)------------------------------
% 0.19/0.52 % (20425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20425)Termination reason: Unknown
% 0.19/0.52 % (20425)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (20425)Memory used [KB]: 1279
% 0.19/0.52 % (20425)Time elapsed: 0.007 s
% 0.19/0.52 % (20425)Instructions burned: 7 (million)
% 0.19/0.52 % (20425)------------------------------
% 0.19/0.52 % (20425)------------------------------
% 0.19/0.52 % (20419)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (20419)------------------------------
% 0.19/0.52 % (20419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20419)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (20419)Memory used [KB]: 5884
% 0.19/0.52 % (20419)Time elapsed: 0.114 s
% 0.19/0.52 % (20419)Instructions burned: 16 (million)
% 0.19/0.52 % (20419)------------------------------
% 0.19/0.52 % (20419)------------------------------
% 0.19/0.52 % (20417)Success in time 0.167 s
%------------------------------------------------------------------------------