TSTP Solution File: SYN966+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN966+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 : n016.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 18:11:15 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 121 ( 40 ~; 48 |; 21 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 42 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(subsumption_resolution,[],[f67,f43]) ).
fof(f43,plain,
a_member_of(sK2(sK1,sK0),sK1),
inference(subsumption_resolution,[],[f41,f14]) ).
fof(f14,plain,
~ eq(sK1,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ~ eq(sK1,sK0)
& eq(sK0,sK1)
& ! [X2,X3] :
( ( eq(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) ) )
| ~ eq(X2,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f7,f6]) ).
fof(f6,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
=> ( ~ eq(sK1,sK0)
& eq(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f7,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(f5,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
& ! [X2,X3] :
( ( eq(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) ) )
| ~ eq(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( ( eq(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) ) )
| ~ eq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f41,plain,
( a_member_of(sK2(sK1,sK0),sK1)
| eq(sK1,sK0) ),
inference(factoring,[],[f34]) ).
fof(f34,plain,
! [X0] :
( a_member_of(sK2(X0,sK0),sK1)
| a_member_of(sK2(X0,sK0),X0)
| eq(X0,sK0) ),
inference(resolution,[],[f16,f13]) ).
fof(f13,plain,
eq(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ eq(X1,X2)
| eq(X0,X1)
| a_member_of(sK2(X0,X1),X2)
| a_member_of(sK2(X0,X1),X0) ),
inference(resolution,[],[f11,f9]) ).
fof(f9,plain,
! [X2,X3,X5] :
( ~ a_member_of(X5,X2)
| a_member_of(X5,X3)
| ~ eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X2,X3] :
( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2)
| eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f67,plain,
~ a_member_of(sK2(sK1,sK0),sK1),
inference(subsumption_resolution,[],[f64,f14]) ).
fof(f64,plain,
( eq(sK1,sK0)
| ~ a_member_of(sK2(sK1,sK0),sK1) ),
inference(resolution,[],[f62,f12]) ).
fof(f12,plain,
! [X2,X3] :
( ~ a_member_of(sK2(X2,X3),X3)
| eq(X2,X3)
| ~ a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f62,plain,
a_member_of(sK2(sK1,sK0),sK0),
inference(subsumption_resolution,[],[f61,f43]) ).
fof(f61,plain,
( a_member_of(sK2(sK1,sK0),sK0)
| ~ a_member_of(sK2(sK1,sK0),sK1) ),
inference(subsumption_resolution,[],[f60,f14]) ).
fof(f60,plain,
( a_member_of(sK2(sK1,sK0),sK0)
| eq(sK1,sK0)
| ~ a_member_of(sK2(sK1,sK0),sK1) ),
inference(duplicate_literal_removal,[],[f52]) ).
fof(f52,plain,
( a_member_of(sK2(sK1,sK0),sK0)
| eq(sK1,sK0)
| eq(sK1,sK0)
| ~ a_member_of(sK2(sK1,sK0),sK1) ),
inference(resolution,[],[f44,f12]) ).
fof(f44,plain,
! [X0] :
( a_member_of(sK2(sK1,X0),sK0)
| a_member_of(sK2(sK1,X0),X0)
| eq(sK1,X0) ),
inference(resolution,[],[f17,f13]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ eq(X2,X0)
| eq(X0,X1)
| a_member_of(sK2(X0,X1),X2)
| a_member_of(sK2(X0,X1),X1) ),
inference(resolution,[],[f11,f10]) ).
fof(f10,plain,
! [X2,X3,X5] :
( ~ a_member_of(X5,X3)
| a_member_of(X5,X2)
| ~ eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN966+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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 02:25:40 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (27679)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (27684)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 TRYING [1,1]
% 0.14/0.36 TRYING [2,1]
% 0.14/0.36 TRYING [2,2]
% 0.14/0.36 TRYING [3,3]
% 0.14/0.36 TRYING [4,4]
% 0.14/0.36 TRYING [5,5]
% 0.14/0.36 TRYING [6,6]
% 0.14/0.36 TRYING [7,7]
% 0.14/0.36 TRYING [8,8]
% 0.14/0.36 TRYING [9,9]
% 0.14/0.36 TRYING [10,10]
% 0.14/0.36 % (27681)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (27682)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (27683)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)
% 0.14/0.36 % (27686)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (27685)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 TRYING [11,11]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [3,3]
% 0.14/0.37 TRYING [12,12]
% 0.14/0.37 TRYING [4,4]
% 0.14/0.37 TRYING [5]
% 0.14/0.37 % (27686)First to succeed.
% 0.14/0.37 % (27688)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)
% 0.14/0.37 TRYING [5,5]
% 0.14/0.37 TRYING [6]
% 0.14/0.37 % (27683)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [6,6]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [13,13]
% 0.14/0.37 TRYING [7]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (27686)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (27686)------------------------------
% 0.14/0.37 % (27686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (27686)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (27686)Memory used [KB]: 754
% 0.14/0.37 % (27686)Time elapsed: 0.004 s
% 0.14/0.37 % (27686)Instructions burned: 5 (million)
% 0.14/0.37 % (27686)------------------------------
% 0.14/0.37 % (27686)------------------------------
% 0.14/0.37 % (27679)Success in time 0.019 s
%------------------------------------------------------------------------------