TSTP Solution File: SET586+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET586+3 : 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 : n024.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 18:21:30 EDT 2022
% Result : Theorem 1.43s 0.57s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 38 ~; 30 |; 20 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 62 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(subsumption_resolution,[],[f278,f41]) ).
fof(f41,plain,
~ subset(intersection(sK3,sK4),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( ~ subset(intersection(sK3,sK4),intersection(sK2,sK4))
& subset(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f13,f26]) ).
fof(f26,plain,
( ? [X0,X1,X2] :
( ~ subset(intersection(X1,X2),intersection(X0,X2))
& subset(X1,X0) )
=> ( ~ subset(intersection(sK3,sK4),intersection(sK2,sK4))
& subset(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1,X2] :
( ~ subset(intersection(X1,X2),intersection(X0,X2))
& subset(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ! [X0,X2,X1] :
( subset(X1,X0)
=> subset(intersection(X1,X2),intersection(X0,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X1,X0,X2] :
( subset(X0,X1)
=> subset(intersection(X0,X2),intersection(X1,X2)) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X1,X0,X2] :
( subset(X0,X1)
=> subset(intersection(X0,X2),intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_of_subset) ).
fof(f278,plain,
subset(intersection(sK3,sK4),intersection(sK2,sK4)),
inference(subsumption_resolution,[],[f271,f51]) ).
fof(f51,plain,
member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),sK4),
inference(resolution,[],[f45,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X1,X0)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,X2] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f45,plain,
member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),intersection(sK3,sK4)),
inference(resolution,[],[f41,f34]) ).
fof(f34,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f271,plain,
( ~ member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),sK4)
| subset(intersection(sK3,sK4),intersection(sK2,sK4)) ),
inference(resolution,[],[f74,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f74,plain,
! [X0] :
( member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),intersection(sK2,X0))
| ~ member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),X0) ),
inference(resolution,[],[f54,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| member(X0,intersection(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),sK2),
inference(resolution,[],[f50,f44]) ).
fof(f44,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sK2) ),
inference(resolution,[],[f40,f33]) ).
fof(f33,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
member(sK1(intersection(sK3,sK4),intersection(sK2,sK4)),sK3),
inference(resolution,[],[f45,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % 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 : n024.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 14:05:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (2113)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)
% 0.19/0.49 % (2113)Refutation not found, incomplete strategy% (2113)------------------------------
% 0.19/0.49 % (2113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2113)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (2113)Memory used [KB]: 5884
% 0.19/0.50 % (2113)Time elapsed: 0.104 s
% 0.19/0.50 % (2113)Instructions burned: 2 (million)
% 0.19/0.50 % (2113)------------------------------
% 0.19/0.50 % (2113)------------------------------
% 0.19/0.52 % (2128)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)
% 0.19/0.53 % (2124)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)
% 0.19/0.53 % (2126)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)
% 0.19/0.54 % (2126)Instruction limit reached!
% 0.19/0.54 % (2126)------------------------------
% 0.19/0.54 % (2126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2126)Termination reason: Unknown
% 0.19/0.54 % (2126)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (2126)Memory used [KB]: 5884
% 0.19/0.54 % (2126)Time elapsed: 0.124 s
% 0.19/0.54 % (2126)Instructions burned: 3 (million)
% 0.19/0.54 % (2126)------------------------------
% 0.19/0.54 % (2126)------------------------------
% 0.19/0.54 % (2118)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)
% 0.19/0.54 % (2128)First to succeed.
% 0.19/0.55 % (2116)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)
% 1.43/0.55 % (2124)Refutation not found, incomplete strategy% (2124)------------------------------
% 1.43/0.55 % (2124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (2124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (2124)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.55
% 1.43/0.55 % (2124)Memory used [KB]: 1407
% 1.43/0.55 % (2124)Time elapsed: 0.139 s
% 1.43/0.55 % (2124)Instructions burned: 2 (million)
% 1.43/0.55 % (2124)------------------------------
% 1.43/0.55 % (2124)------------------------------
% 1.43/0.55 % (2114)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)
% 1.43/0.55 % (2120)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)
% 1.43/0.56 % (2132)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)
% 1.43/0.56 % (2134)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)
% 1.43/0.56 % (2116)Instruction limit reached!
% 1.43/0.56 % (2116)------------------------------
% 1.43/0.56 % (2116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56 % (2116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56 % (2116)Termination reason: Unknown
% 1.43/0.56 % (2116)Termination phase: Saturation
% 1.43/0.56
% 1.43/0.56 % (2116)Memory used [KB]: 6140
% 1.43/0.56 % (2116)Time elapsed: 0.146 s
% 1.43/0.56 % (2116)Instructions burned: 13 (million)
% 1.43/0.56 % (2116)------------------------------
% 1.43/0.56 % (2116)------------------------------
% 1.43/0.57 % (2120)Also succeeded, but the first one will report.
% 1.43/0.57 % (2128)Refutation found. Thanks to Tanya!
% 1.43/0.57 % SZS status Theorem for theBenchmark
% 1.43/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.57 % (2128)------------------------------
% 1.43/0.57 % (2128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57 % (2128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.57 % (2128)Termination reason: Refutation
% 1.43/0.57
% 1.43/0.57 % (2128)Memory used [KB]: 6140
% 1.43/0.57 % (2128)Time elapsed: 0.145 s
% 1.43/0.57 % (2128)Instructions burned: 10 (million)
% 1.43/0.57 % (2128)------------------------------
% 1.43/0.57 % (2128)------------------------------
% 1.43/0.57 % (2111)Success in time 0.223 s
%------------------------------------------------------------------------------