TSTP Solution File: SET633+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET633+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_sat --cores 0 -t %d %s
% Computer : n002.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 18:25:10 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 56 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 21 ~; 9 |; 17 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 33 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(subsumption_resolution,[],[f82,f51]) ).
fof(f51,plain,
subset(difference(sK1,sK3),sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( subset(difference(sK3,sK1),sK2)
& subset(difference(sK1,sK3),sK2)
& ~ subset(symmetric_difference(sK1,sK3),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f32,f33]) ).
fof(f33,plain,
( ? [X0,X1,X2] :
( subset(difference(X2,X0),X1)
& subset(difference(X0,X2),X1)
& ~ subset(symmetric_difference(X0,X2),X1) )
=> ( subset(difference(sK3,sK1),sK2)
& subset(difference(sK1,sK3),sK2)
& ~ subset(symmetric_difference(sK1,sK3),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0,X1,X2] :
( subset(difference(X2,X0),X1)
& subset(difference(X0,X2),X1)
& ~ subset(symmetric_difference(X0,X2),X1) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X1,X2,X0] :
( subset(difference(X0,X1),X2)
& subset(difference(X1,X0),X2)
& ~ subset(symmetric_difference(X1,X0),X2) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X1,X0,X2] :
( ~ subset(symmetric_difference(X1,X0),X2)
& subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X0,X2] :
( ( subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) )
=> subset(symmetric_difference(X1,X0),X2) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X1,X0,X2] :
( ( subset(difference(X0,X1),X2)
& subset(difference(X1,X0),X2) )
=> subset(symmetric_difference(X0,X1),X2) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X1,X0,X2] :
( ( subset(difference(X0,X1),X2)
& subset(difference(X1,X0),X2) )
=> subset(symmetric_difference(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th115) ).
fof(f82,plain,
~ subset(difference(sK1,sK3),sK2),
inference(subsumption_resolution,[],[f78,f52]) ).
fof(f52,plain,
subset(difference(sK3,sK1),sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f78,plain,
( ~ subset(difference(sK3,sK1),sK2)
| ~ subset(difference(sK1,sK3),sK2) ),
inference(resolution,[],[f40,f58]) ).
fof(f58,plain,
~ subset(union(difference(sK1,sK3),difference(sK3,sK1)),sK2),
inference(definition_unfolding,[],[f50,f56]) ).
fof(f56,plain,
! [X0,X1] : symmetric_difference(X1,X0) = union(difference(X1,X0),difference(X0,X1)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] : symmetric_difference(X1,X0) = union(difference(X1,X0),difference(X0,X1)),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f50,plain,
~ subset(symmetric_difference(sK1,sK3),sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f40,plain,
! [X2,X0,X1] :
( subset(union(X2,X0),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( subset(union(X2,X0),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( subset(union(X2,X1),X0)
| ~ subset(X1,X0)
| ~ subset(X2,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( subset(union(X2,X1),X0)
| ~ subset(X2,X0)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X1,X0] :
( ( subset(X2,X0)
& subset(X1,X0) )
=> subset(union(X2,X1),X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(union(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.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 14:19:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (26155)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.48 % (26155)First to succeed.
% 0.18/0.49 % (26155)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (26155)------------------------------
% 0.18/0.49 % (26155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26155)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (26155)Memory used [KB]: 5373
% 0.18/0.49 % (26155)Time elapsed: 0.082 s
% 0.18/0.49 % (26155)Instructions burned: 2 (million)
% 0.18/0.49 % (26155)------------------------------
% 0.18/0.49 % (26155)------------------------------
% 0.18/0.49 % (26149)Success in time 0.146 s
%------------------------------------------------------------------------------