TSTP Solution File: SWC020+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC020+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 : n014.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 18:38:15 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 4 unt; 0 def)
% Number of atoms : 275 ( 94 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 345 ( 115 ~; 105 |; 108 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 50 ( 24 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f814,plain,
$false,
inference(avatar_sat_refutation,[],[f617,f638,f648,f649,f654,f813]) ).
fof(f813,plain,
( ~ spl57_8
| ~ spl57_10 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| ~ spl57_8
| ~ spl57_10 ),
inference(subsumption_resolution,[],[f811,f390]) ).
fof(f390,plain,
ssList(sK15),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ssList(sK17)
& ssList(sK18)
& ( nil != sK15
| nil != sK16 )
& sK16 = sK18
& ( ( nil = sK17
& nil = sK18 )
| ( neq(sK17,nil)
& frontsegP(sK18,sK17) ) )
& sK17 = sK15
& ! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) )
& ssList(sK16)
& ssList(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f112,f256,f255,f254,f253]) ).
fof(f253,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != X0
| nil != X1 )
& X1 = X3
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& X0 = X2
& ! [X4] :
( ~ frontsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(X0,X4) ) ) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != sK15
| nil != X1 )
& X1 = X3
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& sK15 = X2
& ! [X4] :
( ~ frontsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) ) )
& ssList(X1) )
& ssList(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != sK15
| nil != X1 )
& X1 = X3
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& sK15 = X2
& ! [X4] :
( ~ frontsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != sK15
| nil != sK16 )
& sK16 = X3
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& sK15 = X2
& ! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) ) )
& ssList(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != sK15
| nil != sK16 )
& sK16 = X3
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& sK15 = X2
& ! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) ) )
=> ( ssList(sK17)
& ? [X3] :
( ssList(X3)
& ( nil != sK15
| nil != sK16 )
& sK16 = X3
& ( ( nil = sK17
& nil = X3 )
| ( neq(sK17,nil)
& frontsegP(X3,sK17) ) )
& sK17 = sK15
& ! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X3] :
( ssList(X3)
& ( nil != sK15
| nil != sK16 )
& sK16 = X3
& ( ( nil = sK17
& nil = X3 )
| ( neq(sK17,nil)
& frontsegP(X3,sK17) ) )
& sK17 = sK15
& ! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) )
=> ( ssList(sK18)
& ( nil != sK15
| nil != sK16 )
& sK16 = sK18
& ( ( nil = sK17
& nil = sK18 )
| ( neq(sK17,nil)
& frontsegP(sK18,sK17) ) )
& sK17 = sK15
& ! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != X0
| nil != X1 )
& X1 = X3
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& X0 = X2
& ! [X4] :
( ~ frontsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(X0,X4) ) ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ frontsegP(X1,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(X0,X4) )
& X0 = X2
& ( ( nil = X2
& nil = X3 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& ( nil != X0
| nil != X1 )
& 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)
=> ( ? [X4] :
( neq(X4,nil)
& ssList(X4)
& frontsegP(X1,X4)
& frontsegP(X0,X4) )
| X0 != X2
| ( ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) )
& ( nil != X2
| nil != X3 ) )
| ( nil = X0
& nil = X1 )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ? [X4] :
( neq(X4,nil)
& ssList(X4)
& frontsegP(X1,X4)
& frontsegP(X0,X4) )
| X0 != X2
| ( ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) )
& ( nil != X2
| nil != X3 ) )
| ( nil = X0
& nil = X1 )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f811,plain,
( ~ ssList(sK15)
| ~ spl57_8
| ~ spl57_10 ),
inference(resolution,[],[f796,f475]) ).
fof(f475,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f796,plain,
( ~ frontsegP(sK15,sK15)
| ~ spl57_8
| ~ spl57_10 ),
inference(subsumption_resolution,[],[f795,f390]) ).
fof(f795,plain,
( ~ ssList(sK15)
| ~ frontsegP(sK15,sK15)
| ~ spl57_8
| ~ spl57_10 ),
inference(subsumption_resolution,[],[f781,f637]) ).
fof(f637,plain,
( neq(sK15,nil)
| ~ spl57_8 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f635,plain,
( spl57_8
<=> neq(sK15,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_8])]) ).
fof(f781,plain,
( ~ neq(sK15,nil)
| ~ frontsegP(sK15,sK15)
| ~ ssList(sK15)
| ~ spl57_10 ),
inference(resolution,[],[f565,f647]) ).
fof(f647,plain,
( frontsegP(sK18,sK15)
| ~ spl57_10 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl57_10
<=> frontsegP(sK18,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_10])]) ).
fof(f565,plain,
! [X4] :
( ~ frontsegP(sK18,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ),
inference(definition_unfolding,[],[f392,f398]) ).
fof(f398,plain,
sK16 = sK18,
inference(cnf_transformation,[],[f257]) ).
fof(f392,plain,
! [X4] :
( ~ frontsegP(sK16,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK15,X4) ),
inference(cnf_transformation,[],[f257]) ).
fof(f654,plain,
( spl57_4
| spl57_10 ),
inference(avatar_split_clause,[],[f562,f645,f614]) ).
fof(f614,plain,
( spl57_4
<=> nil = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_4])]) ).
fof(f562,plain,
( frontsegP(sK18,sK15)
| nil = sK15 ),
inference(definition_unfolding,[],[f396,f393,f393]) ).
fof(f393,plain,
sK17 = sK15,
inference(cnf_transformation,[],[f257]) ).
fof(f396,plain,
( nil = sK17
| frontsegP(sK18,sK17) ),
inference(cnf_transformation,[],[f257]) ).
fof(f649,plain,
( spl57_8
| spl57_3 ),
inference(avatar_split_clause,[],[f563,f610,f635]) ).
fof(f610,plain,
( spl57_3
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_3])]) ).
fof(f563,plain,
( nil = sK18
| neq(sK15,nil) ),
inference(definition_unfolding,[],[f395,f393]) ).
fof(f395,plain,
( nil = sK18
| neq(sK17,nil) ),
inference(cnf_transformation,[],[f257]) ).
fof(f648,plain,
( spl57_3
| spl57_10 ),
inference(avatar_split_clause,[],[f564,f645,f610]) ).
fof(f564,plain,
( frontsegP(sK18,sK15)
| nil = sK18 ),
inference(definition_unfolding,[],[f394,f393]) ).
fof(f394,plain,
( nil = sK18
| frontsegP(sK18,sK17) ),
inference(cnf_transformation,[],[f257]) ).
fof(f638,plain,
( spl57_4
| spl57_8 ),
inference(avatar_split_clause,[],[f561,f635,f614]) ).
fof(f561,plain,
( neq(sK15,nil)
| nil = sK15 ),
inference(definition_unfolding,[],[f397,f393,f393]) ).
fof(f397,plain,
( nil = sK17
| neq(sK17,nil) ),
inference(cnf_transformation,[],[f257]) ).
fof(f617,plain,
( ~ spl57_3
| ~ spl57_4 ),
inference(avatar_split_clause,[],[f560,f614,f610]) ).
fof(f560,plain,
( nil != sK15
| nil != sK18 ),
inference(definition_unfolding,[],[f399,f398]) ).
fof(f399,plain,
( nil != sK15
| nil != sK16 ),
inference(cnf_transformation,[],[f257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC020+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 17:58:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (23686)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (23701)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 (2999ds/7Mi)
% 0.20/0.53 % (23699)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (23686)First to succeed.
% 0.20/0.54 % (23701)Instruction limit reached!
% 0.20/0.54 % (23701)------------------------------
% 0.20/0.54 % (23701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23708)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 (2999ds/82Mi)
% 0.20/0.54 % (23715)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54 % (23700)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 (2999ds/3Mi)
% 0.20/0.54 % (23693)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 (2999ds/39Mi)
% 0.20/0.54 % (23701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23701)Termination reason: Unknown
% 0.20/0.54 % (23701)Termination phase: Equality resolution with deletion
% 0.20/0.54
% 0.20/0.54 % (23701)Memory used [KB]: 1791
% 0.20/0.54 % (23701)Time elapsed: 0.006 s
% 0.20/0.54 % (23701)Instructions burned: 8 (million)
% 0.20/0.54 % (23701)------------------------------
% 0.20/0.54 % (23701)------------------------------
% 0.20/0.54 % (23691)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (23713)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (23709)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (23690)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (23689)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (23687)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 (2999ds/13Mi)
% 0.20/0.54 % (23688)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 (2999ds/3Mi)
% 0.20/0.54 % (23690)Also succeeded, but the first one will report.
% 0.20/0.55 % (23686)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (23686)------------------------------
% 0.20/0.55 % (23686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23686)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (23686)Memory used [KB]: 6524
% 0.20/0.55 % (23686)Time elapsed: 0.113 s
% 0.20/0.55 % (23686)Instructions burned: 19 (million)
% 0.20/0.55 % (23686)------------------------------
% 0.20/0.55 % (23686)------------------------------
% 0.20/0.55 % (23685)Success in time 0.186 s
%------------------------------------------------------------------------------