TSTP Solution File: SET575+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET575+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 : 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 18:21:28 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 21 |; 15 &)
% ( 1 <=>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(subsumption_resolution,[],[f25,f20]) ).
fof(f20,plain,
intersect(sK2,sK1),
inference(resolution,[],[f19,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ intersect(X1,X0)
| intersect(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ~ intersect(X1,X0)
| intersect(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
! [X1,X0] :
( ~ intersect(X0,X1)
| intersect(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( intersect(X0,X1)
=> intersect(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_intersect) ).
fof(f19,plain,
intersect(sK1,sK2),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( intersect(sK1,sK2)
& ! [X2] :
( ~ member(X2,sK2)
| ~ member(X2,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f6,f12]) ).
fof(f12,plain,
( ? [X0,X1] :
( intersect(X0,X1)
& ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) )
=> ( intersect(sK1,sK2)
& ! [X2] :
( ~ member(X2,sK2)
| ~ member(X2,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1] :
( intersect(X0,X1)
& ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X1,X0] :
( intersect(X0,X1)
=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X1,X0] :
( intersect(X0,X1)
=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th15) ).
fof(f25,plain,
~ intersect(sK2,sK1),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
( ~ intersect(sK2,sK1)
| ~ intersect(sK2,sK1) ),
inference(resolution,[],[f22,f16]) ).
fof(f16,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| ~ intersect(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( intersect(X1,X0)
| ! [X2] :
( ~ member(X2,X0)
| ~ member(X2,X1) ) )
& ( ( member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) )
| ~ intersect(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0,X1] :
( ( intersect(X1,X0)
| ! [X2] :
( ~ member(X2,X0)
| ~ member(X2,X1) ) )
& ( ? [X3] :
( member(X3,X0)
& member(X3,X1) )
| ~ intersect(X1,X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ( intersect(X0,X1)
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) )
& ( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
| ~ intersect(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( intersect(X0,X1)
<=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
fof(f22,plain,
! [X0] :
( ~ member(sK0(X0,sK2),sK1)
| ~ intersect(sK2,X0) ),
inference(resolution,[],[f18,f15]) ).
fof(f15,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| ~ intersect(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X2] :
( ~ member(X2,sK2)
| ~ member(X2,sK1) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET575+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
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:12:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (31116)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)
% 0.20/0.50 % (31125)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)
% 0.20/0.50 % (31134)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)
% 0.20/0.51 % (31117)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)
% 0.20/0.51 % (31116)First to succeed.
% 0.20/0.51 % (31116)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 % (31116)------------------------------
% 0.20/0.51 % (31116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31116)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (31116)Memory used [KB]: 5884
% 0.20/0.51 % (31116)Time elapsed: 0.094 s
% 0.20/0.51 % (31116)Instructions burned: 1 (million)
% 0.20/0.51 % (31116)------------------------------
% 0.20/0.51 % (31116)------------------------------
% 0.20/0.51 % (31109)Success in time 0.154 s
%------------------------------------------------------------------------------