TSTP Solution File: SWC328+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC328+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 : n029.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 18:40:28 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 127 ( 42 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 140 ( 38 ~; 22 |; 67 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 12 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f371,plain,
$false,
inference(subsumption_resolution,[],[f365,f193]) ).
fof(f193,plain,
ssList(sK9),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ssList(sK6)
& ssList(sK7)
& ssList(sK8)
& ssList(sK9)
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& sK6 = sK8
& nil = sK8
& sK7 = sK9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f111,f148,f147,f146,f145]) ).
fof(f145,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& X0 = X2
& nil = X2
& X1 = X3 ) ) ) )
=> ( ssList(sK6)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(X1,sK6)
| ~ equalelemsP(sK6) )
& sK6 = X2
& nil = X2
& X1 = X3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(X1,sK6)
| ~ equalelemsP(sK6) )
& sK6 = X2
& nil = X2
& X1 = X3 ) ) )
=> ( ssList(sK7)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& sK6 = X2
& nil = X2
& sK7 = X3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& sK6 = X2
& nil = X2
& sK7 = X3 ) )
=> ( ssList(sK8)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& sK6 = sK8
& nil = sK8
& sK7 = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ssList(X3)
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& sK6 = sK8
& nil = sK8
& sK7 = X3 )
=> ( ssList(sK9)
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& sK6 = sK8
& nil = sK8
& sK7 = sK9 ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& X0 = X2
& nil = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& X0 = X2
& nil = X2
& 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)
=> ( ( equalelemsP(X0)
& segmentP(X1,X0) )
| X0 != X2
| nil != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( equalelemsP(X0)
& segmentP(X1,X0) )
| X0 != X2
| nil != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f365,plain,
~ ssList(sK9),
inference(resolution,[],[f226,f259]) ).
fof(f259,plain,
~ segmentP(sK9,sK8),
inference(subsumption_resolution,[],[f224,f213]) ).
fof(f213,plain,
equalelemsP(sK8),
inference(definition_unfolding,[],[f164,f190]) ).
fof(f190,plain,
nil = sK8,
inference(cnf_transformation,[],[f149]) ).
fof(f164,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f224,plain,
( ~ equalelemsP(sK8)
| ~ segmentP(sK9,sK8) ),
inference(definition_unfolding,[],[f192,f189,f191,f191]) ).
fof(f191,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f149]) ).
fof(f189,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f149]) ).
fof(f192,plain,
( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) ),
inference(cnf_transformation,[],[f149]) ).
fof(f226,plain,
! [X0] :
( segmentP(X0,sK8)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f207,f190]) ).
fof(f207,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC328+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 : n029.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 18:57:27 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (4559)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)
% 0.21/0.52 % (4559)First to succeed.
% 0.21/0.52 % (4556)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)
% 0.21/0.52 % (4555)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)
% 0.21/0.52 % (4565)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)
% 0.21/0.52 % (4557)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)
% 0.21/0.52 % (4564)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)
% 0.21/0.52 % (4573)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (4563)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)
% 0.21/0.52 % (4553)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)
% 0.21/0.52 % (4566)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52 % (4564)Instruction limit reached!
% 0.21/0.52 % (4564)------------------------------
% 0.21/0.52 % (4564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (4564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (4563)Instruction limit reached!
% 0.21/0.52 % (4563)------------------------------
% 0.21/0.52 % (4563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (4564)Termination reason: Unknown
% 0.21/0.52 % (4564)Termination phase: Function definition elimination
% 0.21/0.52
% 0.21/0.52 % (4563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (4563)Termination reason: Unknown
% 0.21/0.52 % (4563)Termination phase: Preprocessing 3
% 0.21/0.52 % (4564)Memory used [KB]: 1791
% 0.21/0.52
% 0.21/0.52 % (4564)Time elapsed: 0.004 s
% 0.21/0.52 % (4564)Instructions burned: 8 (million)
% 0.21/0.52 % (4563)Memory used [KB]: 1535
% 0.21/0.52 % (4564)------------------------------
% 0.21/0.52 % (4564)------------------------------
% 0.21/0.52 % (4563)Time elapsed: 0.003 s
% 0.21/0.52 % (4563)Instructions burned: 3 (million)
% 0.21/0.52 % (4563)------------------------------
% 0.21/0.52 % (4563)------------------------------
% 0.21/0.53 % (4549)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (4578)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)
% 0.21/0.53 % (4567)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (4567)Instruction limit reached!
% 0.21/0.53 % (4567)------------------------------
% 0.21/0.53 % (4567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (4567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (4567)Termination reason: Unknown
% 0.21/0.53 % (4567)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (4567)Memory used [KB]: 1535
% 0.21/0.53 % (4567)Time elapsed: 0.005 s
% 0.21/0.53 % (4567)Instructions burned: 2 (million)
% 0.21/0.53 % (4567)------------------------------
% 0.21/0.53 % (4567)------------------------------
% 0.21/0.53 % (4576)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)
% 0.21/0.53 % (4574)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)
% 0.21/0.53 % (4575)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)
% 0.21/0.53 % (4577)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)
% 0.21/0.53 % (4570)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (4571)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)
% 0.21/0.53 % (4552)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)
% 0.21/0.53 % (4550)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)
% 0.21/0.54 % (4554)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)
% 0.21/0.54 % (4560)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)
% 0.21/0.54 % (4561)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)
% 0.21/0.54 % (4551)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)
% 0.21/0.54 % (4559)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (4559)------------------------------
% 0.21/0.54 % (4559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4559)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (4559)Memory used [KB]: 6140
% 0.21/0.54 % (4559)Time elapsed: 0.114 s
% 0.21/0.54 % (4559)Instructions burned: 5 (million)
% 0.21/0.54 % (4559)------------------------------
% 0.21/0.54 % (4559)------------------------------
% 0.21/0.54 % (4548)Success in time 0.17 s
%------------------------------------------------------------------------------