TSTP Solution File: SET767+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 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 18:22:10 EDT 2022
% Result : Theorem 1.50s 0.53s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 84 ( 31 ~; 22 |; 21 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 66 ( 54 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(subsumption_resolution,[],[f125,f72]) ).
fof(f72,plain,
~ subset(equivalence_class(sK0,sK1,sK2),sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( equivalence(sK2,sK1)
& ~ subset(equivalence_class(sK0,sK1,sK2),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f38,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2] :
( equivalence(X2,X1)
& ~ subset(equivalence_class(X0,X1,X2),X1) )
=> ( equivalence(sK2,sK1)
& ~ subset(equivalence_class(sK0,sK1,sK2),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1,X2] :
( equivalence(X2,X1)
& ~ subset(equivalence_class(X0,X1,X2),X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X2,X0] :
( equivalence(X0,X2)
& ~ subset(equivalence_class(X1,X2,X0),X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X2,X0,X1] :
( equivalence(X0,X2)
=> subset(equivalence_class(X1,X2,X0),X2) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X6,X0,X3] :
( equivalence(X6,X3)
=> subset(equivalence_class(X0,X3,X6),X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X6,X0,X3] :
( equivalence(X6,X3)
=> subset(equivalence_class(X0,X3,X6),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII03) ).
fof(f125,plain,
subset(equivalence_class(sK0,sK1,sK2),sK1),
inference(resolution,[],[f121,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( member(sK4(X0,X1),X1)
& ~ member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f58,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK4(X0,X1),X1)
& ~ member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f121,plain,
member(sK4(sK1,equivalence_class(sK0,sK1,sK2)),sK1),
inference(resolution,[],[f115,f78]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,equivalence_class(X1,X0,X3))
| member(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ( member(X2,equivalence_class(X1,X0,X3))
| ~ member(X2,X0)
| ~ apply(X3,X1,X2) )
& ( ( member(X2,X0)
& apply(X3,X1,X2) )
| ~ member(X2,equivalence_class(X1,X0,X3)) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X2,X0,X3] :
( ( member(X0,equivalence_class(X2,X1,X3))
| ~ member(X0,X1)
| ~ apply(X3,X2,X0) )
& ( ( member(X0,X1)
& apply(X3,X2,X0) )
| ~ member(X0,equivalence_class(X2,X1,X3)) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0,X3] :
( ( member(X0,equivalence_class(X2,X1,X3))
| ~ member(X0,X1)
| ~ apply(X3,X2,X0) )
& ( ( member(X0,X1)
& apply(X3,X2,X0) )
| ~ member(X0,equivalence_class(X2,X1,X3)) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0,X3] :
( member(X0,equivalence_class(X2,X1,X3))
<=> ( member(X0,X1)
& apply(X3,X2,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X3,X0,X6] :
( member(X2,equivalence_class(X0,X3,X6))
<=> ( apply(X6,X0,X2)
& member(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_class) ).
fof(f115,plain,
member(sK4(sK1,equivalence_class(sK0,sK1,sK2)),equivalence_class(sK0,sK1,sK2)),
inference(resolution,[],[f72,f93]) ).
fof(f93,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:29:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (32457)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)
% 1.33/0.51 % (32469)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)
% 1.33/0.51 % (32459)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)
% 1.33/0.52 % (32470)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)
% 1.33/0.52 % (32454)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)
% 1.33/0.52 % (32447)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.33/0.52 % (32448)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)
% 1.33/0.52 % (32459)First to succeed.
% 1.33/0.52 % (32470)Refutation not found, incomplete strategy% (32470)------------------------------
% 1.33/0.52 % (32470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (32448)Refutation not found, incomplete strategy% (32448)------------------------------
% 1.33/0.52 % (32448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (32448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (32448)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.52
% 1.33/0.52 % (32448)Memory used [KB]: 6012
% 1.33/0.52 % (32448)Time elapsed: 0.124 s
% 1.33/0.52 % (32448)Instructions burned: 2 (million)
% 1.33/0.52 % (32448)------------------------------
% 1.33/0.52 % (32448)------------------------------
% 1.33/0.52 % (32451)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)
% 1.33/0.52 % (32451)Also succeeded, but the first one will report.
% 1.33/0.52 % (32470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (32470)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.52 % (32461)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)
% 1.33/0.52
% 1.33/0.52 % (32470)Memory used [KB]: 1407
% 1.33/0.52 % (32470)Time elapsed: 0.126 s
% 1.33/0.52 % (32470)Instructions burned: 2 (million)
% 1.33/0.52 % (32470)------------------------------
% 1.33/0.52 % (32470)------------------------------
% 1.33/0.52 % (32450)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)
% 1.33/0.52 % (32452)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)
% 1.33/0.52 % (32461)Instruction limit reached!
% 1.33/0.52 % (32461)------------------------------
% 1.33/0.52 % (32461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (32464)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.52 % (32458)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)
% 1.33/0.52 % (32462)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)
% 1.33/0.52 % (32460)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)
% 1.33/0.52 % (32449)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)
% 1.33/0.52 % (32453)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)
% 1.33/0.52 % (32449)Refutation not found, incomplete strategy% (32449)------------------------------
% 1.33/0.52 % (32449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (32449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (32449)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.52
% 1.33/0.52 % (32449)Memory used [KB]: 6012
% 1.33/0.52 % (32449)Time elapsed: 0.124 s
% 1.33/0.52 % (32449)Instructions burned: 2 (million)
% 1.33/0.52 % (32449)------------------------------
% 1.33/0.52 % (32449)------------------------------
% 1.33/0.53 % (32462)Instruction limit reached!
% 1.33/0.53 % (32462)------------------------------
% 1.33/0.53 % (32462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (32462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (32462)Termination reason: Unknown
% 1.33/0.53 % (32462)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (32462)Memory used [KB]: 6140
% 1.33/0.53 % (32462)Time elapsed: 0.126 s
% 1.33/0.53 % (32462)Instructions burned: 8 (million)
% 1.33/0.53 % (32462)------------------------------
% 1.33/0.53 % (32462)------------------------------
% 1.33/0.53 % (32473)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)
% 1.33/0.53 % (32476)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)
% 1.33/0.53 % (32455)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)
% 1.33/0.53 % (32466)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)
% 1.33/0.53 % (32461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (32461)Termination reason: Unknown
% 1.33/0.53 % (32461)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (32461)Memory used [KB]: 6012
% 1.33/0.53 % (32461)Time elapsed: 0.085 s
% 1.33/0.53 % (32461)Instructions burned: 4 (million)
% 1.33/0.53 % (32461)------------------------------
% 1.33/0.53 % (32461)------------------------------
% 1.33/0.53 % (32472)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)
% 1.33/0.53 % (32465)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)
% 1.33/0.53 % (32465)Instruction limit reached!
% 1.33/0.53 % (32465)------------------------------
% 1.33/0.53 % (32465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (32465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (32465)Termination reason: Unknown
% 1.33/0.53 % (32465)Termination phase: Unused predicate definition removal
% 1.33/0.53
% 1.33/0.53 % (32465)Memory used [KB]: 1407
% 1.33/0.53 % (32465)Time elapsed: 0.002 s
% 1.33/0.53 % (32465)Instructions burned: 2 (million)
% 1.33/0.53 % (32465)------------------------------
% 1.33/0.53 % (32465)------------------------------
% 1.33/0.53 % (32468)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)
% 1.33/0.53 % (32463)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)
% 1.33/0.53 % (32474)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)
% 1.33/0.53 % (32471)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)
% 1.50/0.53 % (32459)Refutation found. Thanks to Tanya!
% 1.50/0.53 % SZS status Theorem for theBenchmark
% 1.50/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.53 % (32459)------------------------------
% 1.50/0.53 % (32459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.53 % (32459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.53 % (32459)Termination reason: Refutation
% 1.50/0.53
% 1.50/0.53 % (32459)Memory used [KB]: 1535
% 1.50/0.53 % (32459)Time elapsed: 0.111 s
% 1.50/0.53 % (32459)Instructions burned: 3 (million)
% 1.50/0.53 % (32459)------------------------------
% 1.50/0.53 % (32459)------------------------------
% 1.50/0.53 % (32446)Success in time 0.189 s
%------------------------------------------------------------------------------