TSTP Solution File: SWC369+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC369+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_uns --cores 0 -t %d %s
% Computer : n025.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 18:40:45 EDT 2022
% Result : Theorem 0.52s 0.70s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 230 ( 73 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 270 ( 86 ~; 69 |; 93 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 44 ( 20 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f198,plain,
$false,
inference(avatar_sat_refutation,[],[f172,f174,f181,f197]) ).
fof(f197,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| ~ spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f189,f146]) ).
fof(f146,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f189,plain,
( ~ ssList(nil)
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f185,f153]) ).
fof(f153,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f185,plain,
( ~ segmentP(nil,nil)
| ~ spl6_3
| ~ spl6_4 ),
inference(backward_demodulation,[],[f184,f167]) ).
fof(f167,plain,
( nil = sK2
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl6_3
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f184,plain,
( ~ segmentP(nil,sK2)
| ~ spl6_4 ),
inference(backward_demodulation,[],[f149,f170]) ).
fof(f170,plain,
( nil = sK3
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl6_4
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f149,plain,
~ segmentP(sK3,sK2),
inference(definition_unfolding,[],[f130,f129,f126]) ).
fof(f126,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ssList(sK0)
& ( ~ neq(sK3,nil)
| ( neq(sK2,nil)
& segmentP(sK3,sK2) ) )
& ~ segmentP(sK1,sK0)
& sK1 = sK3
& ssList(sK3)
& ( nil != sK3
| nil = sK2 )
& sK0 = sK2
& ssList(sK2)
& ssList(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f104,f115,f114,f113,f112]) ).
fof(f112,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ~ segmentP(X1,X0)
& X1 = X3
& ssList(X3)
& ( nil != X3
| nil = X2 )
& X0 = X2 )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ~ segmentP(X1,sK0)
& X1 = X3
& ssList(X3)
& ( nil != X3
| nil = X2 )
& sK0 = X2 )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ~ segmentP(X1,sK0)
& X1 = X3
& ssList(X3)
& ( nil != X3
| nil = X2 )
& sK0 = X2 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ~ segmentP(sK1,sK0)
& sK1 = X3
& ssList(X3)
& ( nil != X3
| nil = X2 )
& sK0 = X2 )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ~ segmentP(sK1,sK0)
& sK1 = X3
& ssList(X3)
& ( nil != X3
| nil = X2 )
& sK0 = X2 )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(sK2,nil)
& segmentP(X3,sK2) ) )
& ~ segmentP(sK1,sK0)
& sK1 = X3
& ssList(X3)
& ( nil != X3
| nil = sK2 )
& sK0 = sK2 )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(sK2,nil)
& segmentP(X3,sK2) ) )
& ~ segmentP(sK1,sK0)
& sK1 = X3
& ssList(X3)
& ( nil != X3
| nil = sK2 )
& sK0 = sK2 )
=> ( ( ~ neq(sK3,nil)
| ( neq(sK2,nil)
& segmentP(sK3,sK2) ) )
& ~ segmentP(sK1,sK0)
& sK1 = sK3
& ssList(sK3)
& ( nil != sK3
| nil = sK2 )
& sK0 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ~ segmentP(X1,X0)
& X1 = X3
& ssList(X3)
& ( nil != X3
| nil = X2 )
& X0 = X2 )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ( nil != X3
| nil = X2 )
& ~ segmentP(X1,X0)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& X0 = X2
& 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 )
| segmentP(X1,X0)
| ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| X0 != X2 ) ) ) ) ),
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 )
| segmentP(X1,X0)
| ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f129,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f116]) ).
fof(f130,plain,
~ segmentP(sK1,sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f181,plain,
( spl6_4
| spl6_2 ),
inference(avatar_split_clause,[],[f180,f160,f169]) ).
fof(f160,plain,
( spl6_2
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f180,plain,
( nil = sK3
| spl6_2 ),
inference(subsumption_resolution,[],[f176,f128]) ).
fof(f128,plain,
ssList(sK3),
inference(cnf_transformation,[],[f116]) ).
fof(f176,plain,
( ~ ssList(sK3)
| nil = sK3
| spl6_2 ),
inference(subsumption_resolution,[],[f175,f146]) ).
fof(f175,plain,
( ~ ssList(nil)
| nil = sK3
| ~ ssList(sK3)
| spl6_2 ),
inference(resolution,[],[f162,f140]) ).
fof(f140,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) ) ),
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(f162,plain,
( ~ neq(sK3,nil)
| spl6_2 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f174,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f173,f160]) ).
fof(f173,plain,
~ neq(sK3,nil),
inference(subsumption_resolution,[],[f131,f149]) ).
fof(f131,plain,
( segmentP(sK3,sK2)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f116]) ).
fof(f172,plain,
( spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f127,f169,f165]) ).
fof(f127,plain,
( nil != sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC369+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 18:59:15 EDT 2022
% 0.14/0.36 % CPUTime :
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% 0.38/0.67 % (19532)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.38/0.67 % (19532)Instruction limit reached!
% 0.38/0.67 % (19532)------------------------------
% 0.38/0.67 % (19532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.38/0.67 % (19532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.38/0.67 % (19532)Termination reason: Unknown
% 0.38/0.67 % (19532)Termination phase: Preprocessing 3
% 0.38/0.67
% 0.38/0.67 % (19532)Memory used [KB]: 1663
% 0.38/0.67 % (19532)Time elapsed: 0.003 s
% 0.38/0.67 % (19532)Instructions burned: 4 (million)
% 0.38/0.67 % (19532)------------------------------
% 0.38/0.67 % (19532)------------------------------
% 0.38/0.68 % (19547)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.38/0.68 % (19552)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/82Mi)
% 0.38/0.69 % (19545)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.38/0.69 % (19544)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.38/0.69 % (19555)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/95Mi)
% 0.38/0.69 % (19544)Instruction limit reached!
% 0.38/0.69 % (19544)------------------------------
% 0.38/0.69 % (19544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.38/0.69 % (19544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.38/0.69 % (19544)Termination reason: Unknown
% 0.38/0.69 % (19544)Termination phase: Preprocessing 3
% 0.38/0.69
% 0.38/0.69 % (19544)Memory used [KB]: 1535
% 0.38/0.69 % (19544)Time elapsed: 0.005 s
% 0.38/0.69 % (19544)Instructions burned: 3 (million)
% 0.38/0.69 % (19544)------------------------------
% 0.38/0.69 % (19544)------------------------------
% 0.38/0.69 % (19537)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.38/0.69 % (19536)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.38/0.69 % (19531)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.38/0.69 % (19539)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 0.38/0.69 % (19550)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.38/0.69 % (19531)First to succeed.
% 0.52/0.70 % (19531)Refutation found. Thanks to Tanya!
% 0.52/0.70 % SZS status Theorem for theBenchmark
% 0.52/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.70 % (19531)------------------------------
% 0.52/0.70 % (19531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.52/0.70 % (19531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.52/0.70 % (19531)Termination reason: Refutation
% 0.52/0.70
% 0.52/0.70 % (19531)Memory used [KB]: 6012
% 0.52/0.70 % (19531)Time elapsed: 0.106 s
% 0.52/0.70 % (19531)Instructions burned: 3 (million)
% 0.52/0.70 % (19531)------------------------------
% 0.52/0.70 % (19531)------------------------------
% 0.52/0.70 % (19396)Success in time 0.328 s
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