TSTP Solution File: SET585+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET585+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 : n016.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 98 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 40 ~; 31 |; 20 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,plain,
$false,
inference(subsumption_resolution,[],[f121,f111]) ).
fof(f111,plain,
~ member(sK0(intersection(sK1,sK2),union(sK2,sK3)),sK2),
inference(unit_resulting_resolution,[],[f65,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( member(X1,union(X0,X2))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f65,plain,
~ member(sK0(intersection(sK1,sK2),union(sK2,sK3)),union(sK2,sK3)),
inference(unit_resulting_resolution,[],[f64,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f64,plain,
~ subset(intersection(sK1,sK2),union(sK2,sK3)),
inference(forward_demodulation,[],[f50,f52]) ).
fof(f52,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f50,plain,
~ subset(intersection(sK2,sK1),union(sK2,sK3)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
~ subset(intersection(sK2,sK1),union(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f32,f33]) ).
fof(f33,plain,
( ? [X0,X1,X2] : ~ subset(intersection(X1,X0),union(X1,X2))
=> ~ subset(intersection(sK2,sK1),union(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0,X1,X2] : ~ subset(intersection(X1,X0),union(X1,X2)),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X0,X2] : ~ subset(intersection(X0,X1),union(X0,X2)),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X2,X1,X0] : subset(intersection(X0,X1),union(X0,X2)),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X2,X1,X0] : subset(intersection(X0,X1),union(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_subset_of_union) ).
fof(f121,plain,
member(sK0(intersection(sK1,sK2),union(sK2,sK3)),sK2),
inference(unit_resulting_resolution,[],[f72,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,X0)
& member(X2,X1) )
<=> member(X2,intersection(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f72,plain,
member(sK0(intersection(sK1,sK2),union(sK2,sK3)),intersection(sK1,sK2)),
inference(unit_resulting_resolution,[],[f64,f47]) ).
fof(f47,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:25:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (26117)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)
% 0.20/0.50 % (26124)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)
% 0.20/0.51 % (26124)First to succeed.
% 0.20/0.51 % (26117)Instruction limit reached!
% 0.20/0.51 % (26117)------------------------------
% 0.20/0.51 % (26117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26126)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)
% 0.20/0.51 % (26124)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (26124)------------------------------
% 0.20/0.51 % (26124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26124)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (26124)Memory used [KB]: 6012
% 0.20/0.51 % (26124)Time elapsed: 0.106 s
% 0.20/0.51 % (26124)Instructions burned: 4 (million)
% 0.20/0.51 % (26124)------------------------------
% 0.20/0.51 % (26124)------------------------------
% 0.20/0.51 % (26114)Success in time 0.159 s
%------------------------------------------------------------------------------