TSTP Solution File: SET573+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET573+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 : n018.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 18:24:57 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 26 ~; 15 |; 24 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 36 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f44,f22]) ).
fof(f22,plain,
disjoint(sK0,sK2),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( disjoint(sK0,sK2)
& member(sK1,sK2)
& member(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f13]) ).
fof(f13,plain,
( ? [X0,X1,X2] :
( disjoint(X0,X2)
& member(X1,X2)
& member(X1,X0) )
=> ( disjoint(sK0,sK2)
& member(sK1,sK2)
& member(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2] :
( disjoint(X0,X2)
& member(X1,X2)
& member(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0,X2,X1] :
( disjoint(X0,X1)
& member(X2,X1)
& member(X2,X0) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X1,X2,X0] :
( member(X2,X1)
& member(X2,X0)
& disjoint(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ! [X1,X2,X0] :
( ( member(X2,X0)
& disjoint(X0,X1) )
=> ~ member(X2,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X2,X0] :
( ( disjoint(X1,X2)
& member(X0,X1) )
=> ~ member(X0,X2) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X2,X0] :
( ( disjoint(X1,X2)
& member(X0,X1) )
=> ~ member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th12) ).
fof(f44,plain,
~ disjoint(sK0,sK2),
inference(resolution,[],[f34,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ intersect(X1,X0)
| ~ disjoint(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ intersect(X1,X0)
| ~ disjoint(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ~ intersect(X0,X1)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( disjoint(X0,X1)
=> ~ intersect(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> ~ intersect(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
fof(f34,plain,
intersect(sK0,sK2),
inference(resolution,[],[f29,f20]) ).
fof(f20,plain,
member(sK1,sK0),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X1] :
( ~ member(sK1,X1)
| intersect(X1,sK2) ),
inference(resolution,[],[f23,f21]) ).
fof(f21,plain,
member(sK1,sK2),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
! [X3,X0,X1] :
( ~ member(X3,X1)
| ~ member(X3,X0)
| intersect(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( ( member(sK3(X0,X1),X0)
& member(sK3(X0,X1),X1) )
| ~ intersect(X0,X1) )
& ( intersect(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| ~ member(X3,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& member(X2,X1) )
=> ( member(sK3(X0,X1),X0)
& member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X2,X0)
& member(X2,X1) )
| ~ intersect(X0,X1) )
& ( intersect(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| ~ member(X3,X1) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X2,X0)
& member(X2,X1) )
| ~ intersect(X0,X1) )
& ( intersect(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& member(X2,X1) )
<=> intersect(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:04:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (21875)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.50 % (21867)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50 % (21875)First to succeed.
% 0.20/0.51 % (21875)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 % (21875)------------------------------
% 0.20/0.51 % (21875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21875)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (21875)Memory used [KB]: 895
% 0.20/0.51 % (21875)Time elapsed: 0.087 s
% 0.20/0.51 % (21875)Instructions burned: 2 (million)
% 0.20/0.51 % (21875)------------------------------
% 0.20/0.51 % (21875)------------------------------
% 0.20/0.51 % (21847)Success in time 0.15 s
%------------------------------------------------------------------------------