TSTP Solution File: SET899+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n011.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 18:22:41 EDT 2022
% Result : Theorem 1.12s 0.54s
% Output : Refutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 22 ~; 14 |; 12 &)
% ( 0 <=>; 6 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 27 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(subsumption_resolution,[],[f36,f29]) ).
fof(f29,plain,
subset(sK2,sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ~ in(sK1,sK2)
& ~ subset(sK2,set_difference(sK0,singleton(sK1)))
& subset(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1,X2] :
( ~ in(X1,X2)
& ~ subset(X2,set_difference(X0,singleton(X1)))
& subset(X2,X0) )
=> ( ~ in(sK1,sK2)
& ~ subset(sK2,set_difference(sK0,singleton(sK1)))
& subset(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ~ in(X1,X2)
& ~ subset(X2,set_difference(X0,singleton(X1)))
& subset(X2,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
? [X1,X0,X2] :
( ~ in(X0,X2)
& ~ subset(X2,set_difference(X1,singleton(X0)))
& subset(X2,X1) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2] :
( ~ subset(X2,set_difference(X1,singleton(X0)))
& ~ in(X0,X2)
& subset(X2,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X0,X1,X2] :
( subset(X2,X1)
=> ( subset(X2,set_difference(X1,singleton(X0)))
| in(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X2,X1,X0] :
( subset(X0,X1)
=> ( in(X2,X0)
| subset(X0,set_difference(X1,singleton(X2))) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X2,X1,X0] :
( subset(X0,X1)
=> ( in(X2,X0)
| subset(X0,set_difference(X1,singleton(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_zfmisc_1) ).
fof(f36,plain,
~ subset(sK2,sK0),
inference(subsumption_resolution,[],[f35,f31]) ).
fof(f31,plain,
~ in(sK1,sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f35,plain,
( in(sK1,sK2)
| ~ subset(sK2,sK0) ),
inference(resolution,[],[f27,f30]) ).
fof(f30,plain,
~ subset(sK2,set_difference(sK0,singleton(sK1))),
inference(cnf_transformation,[],[f21]) ).
fof(f27,plain,
! [X2,X0,X1] :
( subset(X2,set_difference(X0,singleton(X1)))
| ~ subset(X2,X0)
| in(X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ subset(X2,X0)
| subset(X2,set_difference(X0,singleton(X1)))
| in(X1,X2) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( ~ subset(X2,X1)
| subset(X2,set_difference(X1,singleton(X0)))
| in(X0,X2) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X1,X0,X2] :
( subset(X2,set_difference(X1,singleton(X0)))
| in(X0,X2)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0,X2] :
( subset(X2,X1)
=> ( subset(X2,set_difference(X1,singleton(X0)))
| in(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 30 14:26:10 EDT 2022
% 0.16/0.37 % CPUTime :
% 1.12/0.53 % (30037)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.12/0.53 % (30037)First to succeed.
% 1.12/0.53 % (30034)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)
% 1.12/0.53 % (30045)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)
% 1.12/0.53 % (30028)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)
% 1.12/0.53 % (30028)Also succeeded, but the first one will report.
% 1.12/0.54 % (30037)Refutation found. Thanks to Tanya!
% 1.12/0.54 % SZS status Theorem for theBenchmark
% 1.12/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.12/0.54 % (30037)------------------------------
% 1.12/0.54 % (30037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.12/0.54 % (30037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.12/0.54 % (30037)Termination reason: Refutation
% 1.12/0.54
% 1.12/0.54 % (30037)Memory used [KB]: 5884
% 1.12/0.54 % (30037)Time elapsed: 0.096 s
% 1.12/0.54 % (30037)Instructions burned: 2 (million)
% 1.12/0.54 % (30037)------------------------------
% 1.12/0.54 % (30037)------------------------------
% 1.12/0.54 % (30022)Success in time 0.158 s
%------------------------------------------------------------------------------