TSTP Solution File: SET027+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET027+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 18:18:32 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 33 ~; 20 |; 22 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 36 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f42,f19]) ).
fof(f19,plain,
~ subset(sK3,sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( subset(sK3,sK2)
& subset(sK2,sK1)
& ~ subset(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13]) ).
fof(f13,plain,
( ? [X0,X1,X2] :
( subset(X2,X1)
& subset(X1,X0)
& ~ subset(X2,X0) )
=> ( subset(sK3,sK2)
& subset(sK2,sK1)
& ~ subset(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2] :
( subset(X2,X1)
& subset(X1,X0)
& ~ subset(X2,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
? [X2,X1,X0] :
( subset(X0,X1)
& subset(X1,X2)
& ~ subset(X0,X2) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X2,X1,X0] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X2,X1,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X2,X1,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
fof(f42,plain,
subset(sK3,sK1),
inference(resolution,[],[f40,f16]) ).
fof(f16,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
=> ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f40,plain,
~ member(sK0(sK1,sK3),sK3),
inference(subsumption_resolution,[],[f29,f20]) ).
fof(f20,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
( ~ member(sK0(sK1,sK3),sK3)
| ~ subset(sK2,sK1) ),
inference(resolution,[],[f27,f21]) ).
fof(f21,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ member(sK0(sK1,sK3),X1)
| ~ subset(X0,sK1) ),
inference(resolution,[],[f25,f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ subset(X1,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f25,plain,
! [X0] :
( ~ member(sK0(sK1,sK3),X0)
| ~ subset(X0,sK1) ),
inference(resolution,[],[f24,f19]) ).
fof(f24,plain,
! [X2,X0,X1] :
( subset(X2,X1)
| ~ subset(X0,X1)
| ~ member(sK0(X1,X2),X0) ),
inference(resolution,[],[f17,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:59:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.50 % (3244)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)
% 0.21/0.50 % (3244)Refutation not found, incomplete strategy% (3244)------------------------------
% 0.21/0.50 % (3244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (3253)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)
% 0.21/0.50 % (3244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3244)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (3244)Memory used [KB]: 5884
% 0.21/0.51 % (3244)Time elapsed: 0.092 s
% 0.21/0.51 % (3244)Instructions burned: 1 (million)
% 0.21/0.51 % (3244)------------------------------
% 0.21/0.51 % (3244)------------------------------
% 0.21/0.51 % (3253)Refutation not found, incomplete strategy% (3253)------------------------------
% 0.21/0.51 % (3253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (3253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3253)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (3253)Memory used [KB]: 5884
% 0.21/0.51 % (3253)Time elapsed: 0.101 s
% 0.21/0.51 % (3253)Instructions burned: 1 (million)
% 0.21/0.51 % (3253)------------------------------
% 0.21/0.51 % (3253)------------------------------
% 0.21/0.51 % (3257)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)
% 0.21/0.51 % (3274)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)
% 0.21/0.51 % (3257)Refutation not found, incomplete strategy% (3257)------------------------------
% 0.21/0.51 % (3257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (3254)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)
% 0.21/0.51 % (3256)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)
% 0.21/0.51 % (3257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3257)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (3257)Memory used [KB]: 5884
% 0.21/0.51 % (3257)Time elapsed: 0.106 s
% 0.21/0.51 % (3257)Instructions burned: 1 (million)
% 0.21/0.51 % (3257)------------------------------
% 0.21/0.51 % (3257)------------------------------
% 0.21/0.51 % (3256)Refutation not found, incomplete strategy% (3256)------------------------------
% 0.21/0.51 % (3256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (3256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3256)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (3256)Memory used [KB]: 1407
% 0.21/0.51 % (3256)Time elapsed: 0.106 s
% 0.21/0.51 % (3256)Instructions burned: 2 (million)
% 0.21/0.51 % (3256)------------------------------
% 0.21/0.51 % (3256)------------------------------
% 0.21/0.51 % (3274)First to succeed.
% 0.21/0.51 % (3255)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)
% 0.21/0.51 % (3255)Also succeeded, but the first one will report.
% 0.21/0.51 % (3274)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (3274)------------------------------
% 0.21/0.51 % (3274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (3274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3274)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (3274)Memory used [KB]: 5884
% 0.21/0.51 % (3274)Time elapsed: 0.105 s
% 0.21/0.51 % (3274)Instructions burned: 2 (million)
% 0.21/0.51 % (3274)------------------------------
% 0.21/0.51 % (3274)------------------------------
% 0.21/0.51 % (3239)Success in time 0.162 s
%------------------------------------------------------------------------------