TSTP Solution File: SWC134+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC134+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 18:39:02 EDT 2022
% Result : Theorem 1.37s 0.54s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 143 ( 37 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 159 ( 51 ~; 24 |; 66 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 16 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f755,plain,
$false,
inference(avatar_sat_refutation,[],[f610,f746,f754]) ).
fof(f754,plain,
~ spl57_8,
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl57_8 ),
inference(subsumption_resolution,[],[f751,f425]) ).
fof(f425,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f751,plain,
( ~ cyclefreeP(nil)
| ~ spl57_8 ),
inference(backward_demodulation,[],[f417,f670]) ).
fof(f670,plain,
( nil = sK28
| ~ spl57_8 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl57_8
<=> nil = sK28 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_8])]) ).
fof(f417,plain,
~ cyclefreeP(sK28),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ssList(sK28)
& ~ neq(sK30,nil)
& sK29 = sK27
& sK30 = sK28
& ~ cyclefreeP(sK28)
& ssList(sK30)
& ssList(sK29)
& ssList(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f143,f277,f276,f275,f274]) ).
fof(f274,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& X0 = X2
& X1 = X3
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& sK27 = X2
& X1 = X3
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) ) )
& ssList(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& sK27 = X2
& X1 = X3
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) ) )
=> ( ssList(sK28)
& ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& sK27 = X2
& sK28 = X3
& ~ cyclefreeP(sK28)
& ssList(X3) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& sK27 = X2
& sK28 = X3
& ~ cyclefreeP(sK28)
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ~ neq(X3,nil)
& sK29 = sK27
& sK28 = X3
& ~ cyclefreeP(sK28)
& ssList(X3) )
& ssList(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
( ? [X3] :
( ~ neq(X3,nil)
& sK29 = sK27
& sK28 = X3
& ~ cyclefreeP(sK28)
& ssList(X3) )
=> ( ~ neq(sK30,nil)
& sK29 = sK27
& sK30 = sK28
& ~ cyclefreeP(sK28)
& ssList(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& X0 = X2
& X1 = X3
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(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)
=> ( X0 != X2
| neq(X3,nil)
| cyclefreeP(X1)
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| neq(X3,nil)
| cyclefreeP(X1)
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f746,plain,
( spl57_8
| ~ spl57_1 ),
inference(avatar_split_clause,[],[f745,f593,f668]) ).
fof(f593,plain,
( spl57_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_1])]) ).
fof(f745,plain,
( nil = sK28
| ~ spl57_1 ),
inference(subsumption_resolution,[],[f744,f594]) ).
fof(f594,plain,
( ssList(nil)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f744,plain,
( ~ ssList(nil)
| nil = sK28 ),
inference(subsumption_resolution,[],[f739,f421]) ).
fof(f421,plain,
ssList(sK28),
inference(cnf_transformation,[],[f278]) ).
fof(f739,plain,
( ~ ssList(sK28)
| ~ ssList(nil)
| nil = sK28 ),
inference(resolution,[],[f532,f555]) ).
fof(f555,plain,
~ neq(sK28,nil),
inference(definition_unfolding,[],[f420,f418]) ).
fof(f418,plain,
sK30 = sK28,
inference(cnf_transformation,[],[f278]) ).
fof(f420,plain,
~ neq(sK30,nil),
inference(cnf_transformation,[],[f278]) ).
fof(f532,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,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(f610,plain,
spl57_1,
inference(avatar_split_clause,[],[f520,f593]) ).
fof(f520,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC134+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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:23:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.52 % (16713)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 (2999ds/33Mi)
% 1.20/0.52 % (16704)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.20/0.53 % (16711)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)
% 1.20/0.53 % (16719)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)
% 1.20/0.53 % (16729)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 (2999ds/95Mi)
% 1.20/0.53 % (16706)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)
% 1.20/0.53 % (16719)Instruction limit reached!
% 1.20/0.53 % (16719)------------------------------
% 1.20/0.53 % (16719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.53 % (16706)Instruction limit reached!
% 1.20/0.53 % (16706)------------------------------
% 1.20/0.53 % (16706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.53 % (16706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.53 % (16706)Termination reason: Unknown
% 1.20/0.53 % (16706)Termination phase: Preprocessing 3
% 1.20/0.53
% 1.20/0.53 % (16706)Memory used [KB]: 1535
% 1.20/0.53 % (16706)Time elapsed: 0.002 s
% 1.20/0.53 % (16706)Instructions burned: 3 (million)
% 1.20/0.53 % (16706)------------------------------
% 1.20/0.53 % (16706)------------------------------
% 1.20/0.53 % (16719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.53 % (16719)Termination reason: Unknown
% 1.20/0.53 % (16719)Termination phase: Function definition elimination
% 1.20/0.53
% 1.20/0.53 % (16719)Memory used [KB]: 1791
% 1.20/0.53 % (16719)Time elapsed: 0.006 s
% 1.20/0.53 % (16719)Instructions burned: 7 (million)
% 1.20/0.53 % (16719)------------------------------
% 1.20/0.53 % (16719)------------------------------
% 1.20/0.54 % (16708)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)
% 1.20/0.54 % (16712)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.37/0.54 % (16714)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)
% 1.37/0.54 % (16704)First to succeed.
% 1.37/0.54 % (16704)Refutation found. Thanks to Tanya!
% 1.37/0.54 % SZS status Theorem for theBenchmark
% 1.37/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.54 % (16704)------------------------------
% 1.37/0.54 % (16704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (16704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (16704)Termination reason: Refutation
% 1.37/0.54
% 1.37/0.54 % (16704)Memory used [KB]: 6396
% 1.37/0.54 % (16704)Time elapsed: 0.107 s
% 1.37/0.54 % (16704)Instructions burned: 18 (million)
% 1.37/0.54 % (16704)------------------------------
% 1.37/0.54 % (16704)------------------------------
% 1.37/0.54 % (16703)Success in time 0.176 s
%------------------------------------------------------------------------------