TSTP Solution File: SEU152+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU152+2 : TPTP v8.1.0. Released v3.3.0.
% 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 18:26:56 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 37 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 15 ~; 8 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,plain,
$false,
inference(subsumption_resolution,[],[f579,f561]) ).
fof(f561,plain,
subset(singleton(sK8),sK9),
inference(unit_resulting_resolution,[],[f302,f250]) ).
fof(f250,plain,
! [X0,X1] :
( subset(singleton(X1),X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( in(X1,X0)
| ~ subset(singleton(X1),X0) )
& ( subset(singleton(X1),X0)
| ~ in(X1,X0) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X1,X0] :
( ( in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( subset(singleton(X0),X1)
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f302,plain,
in(sK8,sK9),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( in(sK8,sK9)
& sK9 != set_union2(singleton(sK8),sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f128,f203]) ).
fof(f203,plain,
( ? [X0,X1] :
( in(X0,X1)
& set_union2(singleton(X0),X1) != X1 )
=> ( in(sK8,sK9)
& sK9 != set_union2(singleton(sK8),sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
? [X0,X1] :
( in(X0,X1)
& set_union2(singleton(X0),X1) != X1 ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f579,plain,
~ subset(singleton(sK8),sK9),
inference(unit_resulting_resolution,[],[f301,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| set_union2(X1,X0) = X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( set_union2(X1,X0) = X0
| ~ subset(X1,X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X1,X0] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f301,plain,
sK9 != set_union2(singleton(sK8),sK9),
inference(cnf_transformation,[],[f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU152+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:56:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % (23403)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.45 % (23399)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.46 % (23399)First to succeed.
% 0.19/0.47 % (23413)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.47 % (23413)Instruction limit reached!
% 0.19/0.47 % (23413)------------------------------
% 0.19/0.47 % (23413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (23399)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (23399)------------------------------
% 0.19/0.47 % (23399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (23399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (23399)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (23399)Memory used [KB]: 6268
% 0.19/0.47 % (23399)Time elapsed: 0.080 s
% 0.19/0.47 % (23399)Instructions burned: 13 (million)
% 0.19/0.47 % (23399)------------------------------
% 0.19/0.47 % (23399)------------------------------
% 0.19/0.47 % (23395)Success in time 0.122 s
%------------------------------------------------------------------------------