TSTP Solution File: SET788+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 Apr 30 15:13:12 EDT 2024
% Result : Theorem 0.11s 0.37s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 1 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 180 ( 66 ~; 75 |; 20 &)
% ( 13 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 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; 0-2 aty)
% Number of variables : 68 ( 57 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f25,f150,f158]) ).
fof(f158,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(resolution,[],[f152,f19]) ).
fof(f19,plain,
( equalish(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl3_1
<=> equalish(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f152,plain,
( ~ equalish(sK0,sK1)
| spl3_2 ),
inference(resolution,[],[f22,f138]) ).
fof(f138,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0)
| equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f114,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ a_member_of(sK2(X0,X1),X0)
| equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(factoring,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ a_member_of(sK2(X0,X1),X2)
| ~ a_member_of(sK2(X0,X1),X0)
| equalish(X0,X1)
| ~ equalish(X1,X2) ),
inference(resolution,[],[f13,f11]) ).
fof(f11,plain,
! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ a_member_of(X5,X3)
| ~ equalish(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) )
& ( equalish(sK1,sK0)
| equalish(sK0,sK1) )
& ! [X2,X3] :
( ( equalish(X2,X3)
| ( ( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) )
& ( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ equalish(X2,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0,X1] :
( ( ~ equalish(X1,X0)
| ~ equalish(X0,X1) )
& ( equalish(X1,X0)
| equalish(X0,X1) ) )
=> ( ( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) )
& ( equalish(sK1,sK0)
| equalish(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) )
=> ( ( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) )
& ( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0,X1] :
( ( ~ equalish(X1,X0)
| ~ equalish(X0,X1) )
& ( equalish(X1,X0)
| equalish(X0,X1) ) )
& ! [X2,X3] :
( ( equalish(X2,X3)
| ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ equalish(X2,X3) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X3,X4] :
( ( ~ equalish(X4,X3)
| ~ equalish(X3,X4) )
& ( equalish(X4,X3)
| equalish(X3,X4) ) )
& ! [X0,X1] :
( ( equalish(X0,X1)
| ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) ) )
& ( ! [X2] :
( ( a_member_of(X2,X0)
| ~ a_member_of(X2,X1) )
& ( a_member_of(X2,X1)
| ~ a_member_of(X2,X0) ) )
| ~ equalish(X0,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X3,X4] :
( equalish(X3,X4)
<~> equalish(X4,X3) )
& ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( equalish(X3,X4)
<=> equalish(X4,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X0,X1] :
( equalish(X0,X1)
<=> equalish(X1,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X0,X1] :
( equalish(X0,X1)
<=> equalish(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f13,plain,
! [X2,X3] :
( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2)
| equalish(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( a_member_of(sK2(X0,X1),X0)
| ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0)
| equalish(X0,X1)
| a_member_of(sK2(X0,X1),X0) ),
inference(resolution,[],[f104,f12]) ).
fof(f12,plain,
! [X2,X3] :
( a_member_of(sK2(X2,X3),X3)
| equalish(X2,X3)
| a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f104,plain,
! [X0,X1] :
( ~ a_member_of(sK2(X0,X1),X1)
| equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(factoring,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ a_member_of(sK2(X0,X1),X2)
| ~ a_member_of(sK2(X0,X1),X1)
| equalish(X0,X1)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f13,f10]) ).
fof(f10,plain,
! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ a_member_of(X5,X2)
| ~ equalish(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
( ~ equalish(sK1,sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl3_2
<=> equalish(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f150,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f146,plain,
( $false
| spl3_1
| ~ spl3_2 ),
inference(resolution,[],[f144,f23]) ).
fof(f23,plain,
( equalish(sK1,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f144,plain,
( ~ equalish(sK1,sK0)
| spl3_1 ),
inference(resolution,[],[f138,f18]) ).
fof(f18,plain,
( ~ equalish(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f25,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f15,f21,f17]) ).
fof(f15,plain,
( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f14,f21,f17]) ).
fof(f14,plain,
( equalish(sK1,sK0)
| equalish(sK0,sK1) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Tue Apr 30 01:38:02 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % (17500)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36 % (17504)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.36 % (17506)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.36 % (17501)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36 % (17505)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36 % (17507)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)
% 0.11/0.36 % (17503)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.36 % (17502)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [1,1]
% 0.11/0.36 TRYING [2,1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [1,1]
% 0.11/0.36 TRYING [2,2]
% 0.11/0.36 TRYING [2,1]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [2,2]
% 0.11/0.37 TRYING [3,3]
% 0.11/0.37 TRYING [3,3]
% 0.11/0.37 TRYING [4]
% 0.11/0.37 TRYING [4,4]
% 0.11/0.37 TRYING [4]
% 0.11/0.37 % (17503)First to succeed.
% 0.11/0.37 TRYING [4,4]
% 0.11/0.37 TRYING [5]
% 0.11/0.37 TRYING [5,5]
% 0.11/0.37 TRYING [5]
% 0.11/0.37 TRYING [5,5]
% 0.11/0.37 % (17505)Also succeeded, but the first one will report.
% 0.11/0.37 TRYING [6,6]
% 0.11/0.37 TRYING [6]
% 0.11/0.37 TRYING [6]
% 0.11/0.37 TRYING [6,6]
% 0.11/0.37 % (17506)Also succeeded, but the first one will report.
% 0.11/0.37 % (17503)Refutation found. Thanks to Tanya!
% 0.11/0.37 % SZS status Theorem for theBenchmark
% 0.11/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.37 % (17503)------------------------------
% 0.11/0.37 % (17503)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.37 % (17503)Termination reason: Refutation
% 0.11/0.37
% 0.11/0.37 % (17503)Memory used [KB]: 775
% 0.11/0.37 % (17503)Time elapsed: 0.005 s
% 0.11/0.37 % (17503)Instructions burned: 6 (million)
% 0.11/0.37 % (17503)------------------------------
% 0.11/0.37 % (17503)------------------------------
% 0.11/0.37 % (17500)Success in time 0.018 s
%------------------------------------------------------------------------------