TSTP Solution File: SET687+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET687+4 : 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 : n027.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 18:21:53 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 11 ~; 5 |; 4 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(resolution,[],[f26,f24]) ).
fof(f24,plain,
~ subset(sK1,sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
~ subset(sK1,sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f17,f20]) ).
fof(f20,plain,
( ? [X0] : ~ subset(X0,X0)
=> ~ subset(sK1,sK1) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0] : ~ subset(X0,X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : subset(X0,X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI01) ).
fof(f26,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f25]) ).
fof(f25,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f23,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X1,X0)
| ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f23,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET687+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.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 14:29:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (24614)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.50 % (24590)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)
% 0.19/0.50 % (24590)Refutation not found, incomplete strategy% (24590)------------------------------
% 0.19/0.50 % (24590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24590)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (24590)Memory used [KB]: 5884
% 0.19/0.50 % (24590)Time elapsed: 0.125 s
% 0.19/0.50 % (24590)Instructions burned: 2 (million)
% 0.19/0.50 % (24590)------------------------------
% 0.19/0.50 % (24590)------------------------------
% 0.19/0.50 % (24594)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 % (24594)Refutation not found, incomplete strategy% (24594)------------------------------
% 0.19/0.51 % (24594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24594)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (24594)Memory used [KB]: 1407
% 0.19/0.51 % (24594)Time elapsed: 0.124 s
% 0.19/0.51 % (24594)------------------------------
% 0.19/0.51 % (24594)------------------------------
% 0.19/0.51 % (24611)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 % (24598)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)
% 0.19/0.51 % (24602)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)
% 0.19/0.51 % (24614)First to succeed.
% 0.19/0.51 % (24591)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)
% 0.19/0.51 % (24614)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 % (24614)------------------------------
% 0.19/0.51 % (24614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24614)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (24614)Memory used [KB]: 5884
% 0.19/0.51 % (24614)Time elapsed: 0.129 s
% 0.19/0.51 % (24614)Instructions burned: 2 (million)
% 0.19/0.51 % (24614)------------------------------
% 0.19/0.51 % (24614)------------------------------
% 0.19/0.51 % (24588)Success in time 0.172 s
%------------------------------------------------------------------------------