TSTP Solution File: SWC362+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC362+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 : n017.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 18:43:23 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 153 ( 28 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 172 ( 42 ~; 29 |; 89 &)
% ( 0 <=>; 12 =>; 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 : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(subsumption_resolution,[],[f606,f601]) ).
fof(f601,plain,
neq(sK14,nil),
inference(subsumption_resolution,[],[f565,f564]) ).
fof(f564,plain,
( neq(sK14,nil)
| segmentP(sK14,sK15) ),
inference(definition_unfolding,[],[f383,f389]) ).
fof(f389,plain,
sK16 = sK14,
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ssList(sK13)
& ssList(sK15)
& sK16 = sK14
& sK13 = sK15
& ssList(sK16)
& ( ( ~ neq(sK16,nil)
& neq(sK14,nil) )
| ( segmentP(sK16,sK15)
& ~ segmentP(sK14,sK13)
& neq(sK14,nil) ) )
& ssList(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f204,f251,f250,f249,f248]) ).
fof(f248,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& X0 = X2
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(X1,X0)
& neq(X1,nil) ) ) ) )
& ssList(X1) ) )
=> ( ssList(sK13)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& sK13 = X2
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(X1,sK13)
& neq(X1,nil) ) ) ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& sK13 = X2
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(X1,sK13)
& neq(X1,nil) ) ) ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK14 = X3
& sK13 = X2
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK14,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(sK14,sK13)
& neq(sK14,nil) ) ) ) )
& ssList(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK14 = X3
& sK13 = X2
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK14,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(sK14,sK13)
& neq(sK14,nil) ) ) ) )
=> ( ssList(sK15)
& ? [X3] :
( sK14 = X3
& sK13 = sK15
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK14,nil) )
| ( segmentP(X3,sK15)
& ~ segmentP(sK14,sK13)
& neq(sK14,nil) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X3] :
( sK14 = X3
& sK13 = sK15
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(sK14,nil) )
| ( segmentP(X3,sK15)
& ~ segmentP(sK14,sK13)
& neq(sK14,nil) ) ) )
=> ( sK16 = sK14
& sK13 = sK15
& ssList(sK16)
& ( ( ~ neq(sK16,nil)
& neq(sK14,nil) )
| ( segmentP(sK16,sK15)
& ~ segmentP(sK14,sK13)
& neq(sK14,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& X0 = X2
& ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(X1,X0)
& neq(X1,nil) ) ) ) )
& ssList(X1) ) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( segmentP(X3,X2)
& ~ segmentP(X1,X0)
& neq(X1,nil) ) )
& X0 = X2
& 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)
| ~ segmentP(X3,X2)
| segmentP(X1,X0) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ neq(X1,nil)
| ~ segmentP(X3,X2)
| segmentP(X1,X0) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f383,plain,
( neq(sK14,nil)
| segmentP(sK16,sK15) ),
inference(cnf_transformation,[],[f252]) ).
fof(f565,plain,
( ~ segmentP(sK14,sK15)
| neq(sK14,nil) ),
inference(definition_unfolding,[],[f382,f388]) ).
fof(f388,plain,
sK13 = sK15,
inference(cnf_transformation,[],[f252]) ).
fof(f382,plain,
( neq(sK14,nil)
| ~ segmentP(sK14,sK13) ),
inference(cnf_transformation,[],[f252]) ).
fof(f606,plain,
~ neq(sK14,nil),
inference(resolution,[],[f562,f602]) ).
fof(f602,plain,
segmentP(sK14,sK15),
inference(subsumption_resolution,[],[f561,f601]) ).
fof(f561,plain,
( ~ neq(sK14,nil)
| segmentP(sK14,sK15) ),
inference(definition_unfolding,[],[f386,f389,f389]) ).
fof(f386,plain,
( ~ neq(sK16,nil)
| segmentP(sK16,sK15) ),
inference(cnf_transformation,[],[f252]) ).
fof(f562,plain,
( ~ segmentP(sK14,sK15)
| ~ neq(sK14,nil) ),
inference(definition_unfolding,[],[f385,f389,f388]) ).
fof(f385,plain,
( ~ neq(sK16,nil)
| ~ segmentP(sK14,sK13) ),
inference(cnf_transformation,[],[f252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC362+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 : n017.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 18:15:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (18328)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)
% 0.19/0.52 % (18326)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)
% 0.19/0.52 % (18327)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)
% 0.19/0.52 % (18351)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)
% 0.19/0.53 % (18330)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)
% 0.19/0.53 % (18325)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)
% 0.19/0.53 % (18333)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (18327)First to succeed.
% 0.19/0.53 % (18339)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)
% 0.19/0.53 % (18341)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)
% 0.19/0.53 % (18343)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (18336)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)
% 0.19/0.53 % (18333)Instruction limit reached!
% 0.19/0.53 % (18333)------------------------------
% 0.19/0.53 % (18333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18333)Termination reason: Unknown
% 0.19/0.53 % (18333)Termination phase: Preprocessing 1
% 0.19/0.53
% 0.19/0.53 % (18333)Memory used [KB]: 895
% 0.19/0.53 % (18333)Time elapsed: 0.003 s
% 0.19/0.53 % (18333)Instructions burned: 2 (million)
% 0.19/0.53 % (18333)------------------------------
% 0.19/0.53 % (18333)------------------------------
% 0.19/0.54 % (18342)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (18331)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)
% 0.19/0.54 % (18349)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (18348)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)
% 0.19/0.54 % (18350)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (18329)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (18340)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)
% 0.19/0.54 % (18346)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (18337)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (18352)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)
% 0.19/0.55 % (18332)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (18330)Also succeeded, but the first one will report.
% 0.19/0.55 % (18327)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (18327)------------------------------
% 0.19/0.55 % (18327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18327)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (18327)Memory used [KB]: 1407
% 0.19/0.55 % (18327)Time elapsed: 0.116 s
% 0.19/0.55 % (18327)Instructions burned: 16 (million)
% 0.19/0.55 % (18327)------------------------------
% 0.19/0.55 % (18327)------------------------------
% 0.19/0.55 % (18324)Success in time 0.2 s
%------------------------------------------------------------------------------