TSTP Solution File: SWC408+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC408+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 : n003.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 18:41:01 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 184 ( 43 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 207 ( 53 ~; 39 |; 95 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 63 ( 28 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(subsumption_resolution,[],[f270,f191]) ).
fof(f191,plain,
~ memberP(sK2,sK4),
inference(definition_unfolding,[],[f154,f151]) ).
fof(f151,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ssList(sK0)
& ssList(sK1)
& ssList(sK2)
& app(sK3,sK3) = sK2
& ~ memberP(sK0,sK4)
& memberP(sK1,sK4)
& ssItem(sK4)
& sK0 = sK2
& ssList(sK3)
& sK3 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f113,f128,f127,f126,f125,f124]) ).
fof(f124,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( app(X3,X3) = X2
& ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& X0 = X2
& ssList(X3)
& X1 = X3 ) ) ) )
=> ( ssList(sK0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( app(X3,X3) = X2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& sK0 = X2
& ssList(X3)
& X1 = X3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( app(X3,X3) = X2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& sK0 = X2
& ssList(X3)
& X1 = X3 ) ) )
=> ( ssList(sK1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( app(X3,X3) = X2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(sK1,X4)
& ssItem(X4) )
& sK0 = X2
& ssList(X3)
& sK1 = X3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( app(X3,X3) = X2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(sK1,X4)
& ssItem(X4) )
& sK0 = X2
& ssList(X3)
& sK1 = X3 ) )
=> ( ssList(sK2)
& ? [X3] :
( app(X3,X3) = sK2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(sK1,X4)
& ssItem(X4) )
& sK0 = sK2
& ssList(X3)
& sK1 = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X3] :
( app(X3,X3) = sK2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(sK1,X4)
& ssItem(X4) )
& sK0 = sK2
& ssList(X3)
& sK1 = X3 )
=> ( app(sK3,sK3) = sK2
& ? [X4] :
( ~ memberP(sK0,X4)
& memberP(sK1,X4)
& ssItem(X4) )
& sK0 = sK2
& ssList(sK3)
& sK3 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X4] :
( ~ memberP(sK0,X4)
& memberP(sK1,X4)
& ssItem(X4) )
=> ( ~ memberP(sK0,sK4)
& memberP(sK1,sK4)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( app(X3,X3) = X2
& ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& X0 = X2
& ssList(X3)
& X1 = X3 ) ) ) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( app(X3,X3) = X2
& X0 = X2
& ? [X4] :
( memberP(X1,X4)
& ~ memberP(X0,X4)
& ssItem(X4) )
& 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)
=> ( app(X3,X3) != X2
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X1,X4)
| memberP(X0,X4) ) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X3) != X2
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X1,X4)
| memberP(X0,X4) ) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f154,plain,
~ memberP(sK0,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f270,plain,
memberP(sK2,sK4),
inference(subsumption_resolution,[],[f268,f152]) ).
fof(f152,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f268,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4) ),
inference(resolution,[],[f267,f153]) ).
fof(f153,plain,
memberP(sK1,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f267,plain,
! [X8] :
( ~ memberP(sK1,X8)
| memberP(sK2,X8)
| ~ ssItem(X8) ),
inference(subsumption_resolution,[],[f266,f157]) ).
fof(f157,plain,
ssList(sK1),
inference(cnf_transformation,[],[f129]) ).
fof(f266,plain,
! [X8] :
( ~ ssList(sK1)
| memberP(sK2,X8)
| ~ ssItem(X8)
| ~ memberP(sK1,X8) ),
inference(duplicate_literal_removal,[],[f261]) ).
fof(f261,plain,
! [X8] :
( ~ ssItem(X8)
| memberP(sK2,X8)
| ~ ssList(sK1)
| ~ ssList(sK1)
| ~ memberP(sK1,X8) ),
inference(superposition,[],[f163,f190]) ).
fof(f190,plain,
app(sK1,sK1) = sK2,
inference(definition_unfolding,[],[f155,f149,f149]) ).
fof(f149,plain,
sK3 = sK1,
inference(cnf_transformation,[],[f129]) ).
fof(f155,plain,
app(sK3,sK3) = sK2,
inference(cnf_transformation,[],[f129]) ).
fof(f163,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC408+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
% 0.13/0.35 % Computer : n003.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 18:54:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (21287)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)
% 0.20/0.52 % (21295)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (21284)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)
% 0.20/0.53 % (21279)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (21285)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)
% 0.20/0.54 % (21282)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 % (21301)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 % (21298)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (21288)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)
% 0.20/0.54 % (21302)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 % (21308)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 % (21294)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)
% 0.20/0.54 % (21285)First to succeed.
% 0.20/0.54 % (21293)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 % (21293)Instruction limit reached!
% 0.20/0.54 % (21293)------------------------------
% 0.20/0.54 % (21293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21293)Termination reason: Unknown
% 0.20/0.54 % (21293)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (21293)Memory used [KB]: 1535
% 0.20/0.54 % (21293)Time elapsed: 0.003 s
% 0.20/0.54 % (21293)Instructions burned: 3 (million)
% 0.20/0.54 % (21293)------------------------------
% 0.20/0.54 % (21293)------------------------------
% 0.20/0.54 % (21299)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 (2999ds/30Mi)
% 0.20/0.54 % (21284)Also succeeded, but the first one will report.
% 0.20/0.55 % (21306)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)
% 0.20/0.55 % (21285)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 % (21285)------------------------------
% 0.20/0.55 % (21285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (21285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (21285)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (21285)Memory used [KB]: 6140
% 0.20/0.55 % (21285)Time elapsed: 0.121 s
% 0.20/0.55 % (21285)Instructions burned: 6 (million)
% 0.20/0.55 % (21285)------------------------------
% 0.20/0.55 % (21285)------------------------------
% 0.20/0.55 % (21278)Success in time 0.19 s
%------------------------------------------------------------------------------