TSTP Solution File: SWC208+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC208+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 : n006.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 18:39:36 EDT 2022
% Result : Theorem 1.59s 0.60s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 169 ( 61 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 175 ( 33 ~; 29 |; 100 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f254,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f252]) ).
fof(f252,plain,
~ spl9_4,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f250,f244]) ).
fof(f244,plain,
neq(nil,nil),
inference(backward_demodulation,[],[f174,f243]) ).
fof(f243,plain,
nil = sK4,
inference(subsumption_resolution,[],[f206,f209]) ).
fof(f209,plain,
~ neq(sK5,nil),
inference(definition_unfolding,[],[f175,f173]) ).
fof(f173,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ssList(sK3)
& ssList(sK5)
& sK6 = sK4
& ( ( neq(sK5,nil)
& frontsegP(sK6,sK5) )
| ( nil = sK6
& nil = sK5 ) )
& ~ neq(sK3,nil)
& neq(sK4,nil)
& sK3 = sK5
& ssList(sK6)
& ssList(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f108,f144,f143,f142,f141]) ).
fof(f141,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& ~ neq(X0,nil)
& neq(X1,nil)
& X0 = X2
& ssList(X3) ) )
& ssList(X1) ) )
=> ( ssList(sK3)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& ~ neq(sK3,nil)
& neq(X1,nil)
& sK3 = X2
& ssList(X3) ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& ~ neq(sK3,nil)
& neq(X1,nil)
& sK3 = X2
& ssList(X3) ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK4 = X3
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& ~ neq(sK3,nil)
& neq(sK4,nil)
& sK3 = X2
& ssList(X3) ) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK4 = X3
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& ~ neq(sK3,nil)
& neq(sK4,nil)
& sK3 = X2
& ssList(X3) ) )
=> ( ssList(sK5)
& ? [X3] :
( sK4 = X3
& ( ( neq(sK5,nil)
& frontsegP(X3,sK5) )
| ( nil = X3
& nil = sK5 ) )
& ~ neq(sK3,nil)
& neq(sK4,nil)
& sK3 = sK5
& ssList(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X3] :
( sK4 = X3
& ( ( neq(sK5,nil)
& frontsegP(X3,sK5) )
| ( nil = X3
& nil = sK5 ) )
& ~ neq(sK3,nil)
& neq(sK4,nil)
& sK3 = sK5
& ssList(X3) )
=> ( sK6 = sK4
& ( ( neq(sK5,nil)
& frontsegP(sK6,sK5) )
| ( nil = sK6
& nil = sK5 ) )
& ~ neq(sK3,nil)
& neq(sK4,nil)
& sK3 = sK5
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& ~ neq(X0,nil)
& neq(X1,nil)
& X0 = X2
& ssList(X3) ) )
& ssList(X1) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ~ neq(X0,nil)
& X0 = X2
& neq(X1,nil)
& ( ( neq(X2,nil)
& frontsegP(X3,X2) )
| ( nil = X3
& nil = 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
| neq(X0,nil)
| X0 != X2
| ~ neq(X1,nil)
| ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| neq(X0,nil)
| X0 != X2
| ~ neq(X1,nil)
| ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f175,plain,
~ neq(sK3,nil),
inference(cnf_transformation,[],[f145]) ).
fof(f206,plain,
( neq(sK5,nil)
| nil = sK4 ),
inference(definition_unfolding,[],[f179,f180]) ).
fof(f180,plain,
sK6 = sK4,
inference(cnf_transformation,[],[f145]) ).
fof(f179,plain,
( neq(sK5,nil)
| nil = sK6 ),
inference(cnf_transformation,[],[f145]) ).
fof(f174,plain,
neq(sK4,nil),
inference(cnf_transformation,[],[f145]) ).
fof(f250,plain,
( ~ neq(nil,nil)
| ~ spl9_4 ),
inference(backward_demodulation,[],[f209,f239]) ).
fof(f239,plain,
( nil = sK5
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl9_4
<=> nil = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f242,plain,
spl9_4,
inference(avatar_split_clause,[],[f241,f237]) ).
fof(f241,plain,
nil = sK5,
inference(subsumption_resolution,[],[f178,f209]) ).
fof(f178,plain,
( neq(sK5,nil)
| nil = sK5 ),
inference(cnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC208+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 18:33:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (13572)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (13556)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54 % (13572)Instruction limit reached!
% 0.19/0.54 % (13572)------------------------------
% 0.19/0.54 % (13572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (13556)Instruction limit reached!
% 0.19/0.54 % (13556)------------------------------
% 0.19/0.54 % (13556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (13572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (13572)Termination reason: Unknown
% 0.19/0.54 % (13572)Termination phase: Function definition elimination
% 0.19/0.55
% 0.19/0.55 % (13572)Memory used [KB]: 1791
% 0.19/0.55 % (13572)Time elapsed: 0.010 s
% 0.19/0.55 % (13572)Instructions burned: 8 (million)
% 0.19/0.55 % (13572)------------------------------
% 0.19/0.55 % (13572)------------------------------
% 1.31/0.55 % (13556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55 % (13556)Termination reason: Unknown
% 1.31/0.55 % (13556)Termination phase: Saturation
% 1.31/0.55
% 1.31/0.55 % (13556)Memory used [KB]: 2046
% 1.31/0.55 % (13556)Time elapsed: 0.123 s
% 1.31/0.55 % (13556)Instructions burned: 16 (million)
% 1.31/0.55 % (13556)------------------------------
% 1.31/0.55 % (13556)------------------------------
% 1.31/0.56 % (13554)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.59/0.58 % (13546)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)
% 1.59/0.58 % (13546)Instruction limit reached!
% 1.59/0.58 % (13546)------------------------------
% 1.59/0.58 % (13546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (13546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (13546)Termination reason: Unknown
% 1.59/0.58 % (13546)Termination phase: shuffling
% 1.59/0.58
% 1.59/0.58 % (13546)Memory used [KB]: 1535
% 1.59/0.58 % (13546)Time elapsed: 0.003 s
% 1.59/0.58 % (13546)Instructions burned: 3 (million)
% 1.59/0.58 % (13546)------------------------------
% 1.59/0.58 % (13546)------------------------------
% 1.59/0.58 % (13554)Refutation not found, incomplete strategy% (13554)------------------------------
% 1.59/0.58 % (13554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (13554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (13554)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.58
% 1.59/0.58 % (13554)Memory used [KB]: 6140
% 1.59/0.58 % (13554)Time elapsed: 0.154 s
% 1.59/0.58 % (13554)Instructions burned: 5 (million)
% 1.59/0.58 % (13554)------------------------------
% 1.59/0.58 % (13554)------------------------------
% 1.59/0.58 % (13570)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.59/0.58 % (13567)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)
% 1.59/0.59 % (13555)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.59/0.59 % (13555)First to succeed.
% 1.59/0.59 % (13550)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 (2999ds/39Mi)
% 1.59/0.59 % (13549)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)
% 1.59/0.59 % (13548)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)
% 1.59/0.60 % (13544)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.59/0.60 % (13550)Also succeeded, but the first one will report.
% 1.59/0.60 % (13555)Refutation found. Thanks to Tanya!
% 1.59/0.60 % SZS status Theorem for theBenchmark
% 1.59/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.60 % (13555)------------------------------
% 1.59/0.60 % (13555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (13555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (13555)Termination reason: Refutation
% 1.59/0.60
% 1.59/0.60 % (13555)Memory used [KB]: 6140
% 1.59/0.60 % (13555)Time elapsed: 0.006 s
% 1.59/0.60 % (13555)Instructions burned: 4 (million)
% 1.59/0.60 % (13555)------------------------------
% 1.59/0.60 % (13555)------------------------------
% 1.59/0.60 % (13543)Success in time 0.242 s
%------------------------------------------------------------------------------