TSTP Solution File: SEU158+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU158+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Tue May 21 03:53:30 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 1 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 28 |; 5 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f29,f36,f39]) ).
fof(f39,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f38]) ).
fof(f38,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(subsumption_resolution,[],[f37,f27]) ).
fof(f27,plain,
( ~ in(sK0,sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl2_2
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f37,plain,
( in(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f22,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f22,plain,
( subset(singleton(sK0),sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl2_1
<=> subset(singleton(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f36,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f33,f26]) ).
fof(f26,plain,
( in(sK0,sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f33,plain,
( ~ in(sK0,sK1)
| spl2_1 ),
inference(resolution,[],[f19,f23]) ).
fof(f23,plain,
( ~ subset(singleton(sK0),sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f19,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f14,f25,f21]) ).
fof(f14,plain,
( in(sK0,sK1)
| subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) )
& ( in(sK0,sK1)
| subset(singleton(sK0),sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).
fof(f11,plain,
( ? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) )
=> ( ( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) )
& ( in(sK0,sK1)
| subset(singleton(sK0),sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0,X1] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f28,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f15,f25,f21]) ).
fof(f15,plain,
( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SEU158+1 : TPTP v8.2.0. Released v3.3.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun May 19 16:20:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (17471)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (17478)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.32 % (17477)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.32 % (17472)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.32 % (17475)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 % (17473)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (17476)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (17477)First to succeed.
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [4]
% 0.16/0.33 TRYING [4]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 % (17477)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17471"
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (17476)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [3]
% 0.16/0.33 % (17472)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [4]
% 0.16/0.33 TRYING [5]
% 0.16/0.33 TRYING [4]
% 0.16/0.33 % (17477)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (17477)------------------------------
% 0.16/0.33 % (17477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (17477)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (17477)Memory used [KB]: 757
% 0.16/0.33 % (17477)Time elapsed: 0.003 s
% 0.16/0.33 % (17477)Instructions burned: 3 (million)
% 0.16/0.33 % (17471)Success in time 0.014 s
%------------------------------------------------------------------------------