TSTP Solution File: SET590+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET590+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 : n021.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 18:21:31 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 32 ~; 22 |; 16 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 46 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(unit_resulting_resolution,[],[f28,f27,f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X2,X0))
| member(X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X2,X0))
| member(X1,X0)
| ~ member(X1,X2) )
& ( ( ~ member(X1,X0)
& member(X1,X2) )
| ~ member(X1,difference(X2,X0)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X2,X1] :
( ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) )
& ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X2,X1] :
( ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) )
& ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X2,X1] :
( member(X2,difference(X1,X0))
<=> ( ~ member(X2,X0)
& member(X2,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f27,plain,
member(sK2(sK0,difference(sK0,sK1)),difference(sK0,sK1)),
inference(unit_resulting_resolution,[],[f20,f25]) ).
fof(f25,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f16,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f20,plain,
~ subset(difference(sK0,sK1),sK0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
~ subset(difference(sK0,sK1),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10]) ).
fof(f10,plain,
( ? [X0,X1] : ~ subset(difference(X0,X1),X0)
=> ~ subset(difference(sK0,sK1),sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0,X1] : ~ subset(difference(X0,X1),X0),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] : subset(difference(X0,X1),X0),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0,X1] : subset(difference(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th49) ).
fof(f28,plain,
~ member(sK2(sK0,difference(sK0,sK1)),sK0),
inference(unit_resulting_resolution,[],[f20,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % 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 : n021.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 13:59:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1254)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (1266)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)
% 0.19/0.50 % (1267)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)
% 0.19/0.50 % (1267)First to succeed.
% 0.19/0.50 % (1274)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51 % (1276)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (1259)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (1267)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (1267)------------------------------
% 0.19/0.51 % (1267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1267)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (1267)Memory used [KB]: 5884
% 0.19/0.51 % (1267)Time elapsed: 0.107 s
% 0.19/0.51 % (1267)Instructions burned: 1 (million)
% 0.19/0.51 % (1267)------------------------------
% 0.19/0.51 % (1267)------------------------------
% 0.19/0.51 % (1253)Success in time 0.166 s
%------------------------------------------------------------------------------