TSTP Solution File: ALG223+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 04:29:19 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 11 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 342 ( 133 ~; 114 |; 73 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 146 ( 112 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2818,plain,
$false,
inference(subsumption_resolution,[],[f2816,f1272]) ).
fof(f1272,plain,
r2_hidden(sK12(sK5,sK3),sK3),
inference(subsumption_resolution,[],[f1264,f136]) ).
fof(f136,plain,
~ r1_closure3(sK1,sK2,sK5,sK3),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ~ r1_closure3(sK1,sK2,sK5,sK3)
& r1_closure3(sK1,sK2,sK5,sK4)
& r1_closure3(sK1,sK2,sK4,sK3)
& m1_subset_1(sK5,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& m1_pboole(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f57,f90,f89,f88,f87]) ).
fof(f87,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK1,sK2,X4,X2)
& r1_closure3(sK1,sK2,X4,X3)
& r1_closure3(sK1,sK2,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_pboole(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK1,sK2,X4,X2)
& r1_closure3(sK1,sK2,X4,X3)
& r1_closure3(sK1,sK2,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
=> ( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,X4,X3)
& r1_closure3(sK1,sK2,X3,sK3)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,X4,X3)
& r1_closure3(sK1,sK2,X3,sK3)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
=> ( ? [X4] :
( ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,X4,sK4)
& r1_closure3(sK1,sK2,sK4,sK3)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X4] :
( ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,X4,sK4)
& r1_closure3(sK1,sK2,sK4,sK3)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
=> ( ~ r1_closure3(sK1,sK2,sK5,sK3)
& r1_closure3(sK1,sK2,sK5,sK4)
& r1_closure3(sK1,sK2,sK4,sK3)
& m1_subset_1(sK5,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_closure3) ).
fof(f1264,plain,
( r1_closure3(sK1,sK2,sK5,sK3)
| r2_hidden(sK12(sK5,sK3),sK3) ),
inference(resolution,[],[f605,f133]) ).
fof(f133,plain,
m1_subset_1(sK5,k1_zfmisc_1(k1_closure2(sK1,sK2))),
inference(cnf_transformation,[],[f91]) ).
fof(f605,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| r1_closure3(sK1,sK2,X0,sK3)
| r2_hidden(sK12(X0,sK3),sK3) ),
inference(subsumption_resolution,[],[f593,f130]) ).
fof(f130,plain,
m1_pboole(sK2,sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f593,plain,
! [X0] :
( r2_hidden(sK12(X0,sK3),sK3)
| r1_closure3(sK1,sK2,X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f165,f131]) ).
fof(f131,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK1,sK2))),
inference(cnf_transformation,[],[f91]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK12(X2,X3),X3)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ( ! [X5] :
( ~ r1_tarski(sK12(X2,X3),X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(sK12(X2,X3),X3) ) )
& ( ! [X6] :
( ( r1_tarski(X6,sK13(X2,X6))
& r2_hidden(sK13(X2,X6),X2) )
| ~ r2_hidden(X6,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f105,f107,f106]) ).
fof(f106,plain,
! [X2,X3] :
( ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) )
=> ( ! [X5] :
( ~ r1_tarski(sK12(X2,X3),X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(sK12(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X2,X6] :
( ? [X7] :
( r1_tarski(X6,X7)
& r2_hidden(X7,X2) )
=> ( r1_tarski(X6,sK13(X2,X6))
& r2_hidden(sK13(X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) )
& ( ! [X6] :
( ? [X7] :
( r1_tarski(X6,X7)
& r2_hidden(X7,X2) )
| ~ r2_hidden(X6,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) )
& ( ! [X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
~ ( ! [X5] :
~ ( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_closure3) ).
fof(f2816,plain,
~ r2_hidden(sK12(sK5,sK3),sK3),
inference(resolution,[],[f2810,f1624]) ).
fof(f1624,plain,
! [X0] :
( r2_hidden(sK13(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f1611,f134]) ).
fof(f134,plain,
r1_closure3(sK1,sK2,sK4,sK3),
inference(cnf_transformation,[],[f91]) ).
fof(f1611,plain,
! [X0] :
( ~ r1_closure3(sK1,sK2,sK4,sK3)
| r2_hidden(sK13(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f651,f132]) ).
fof(f132,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK1,sK2))),
inference(cnf_transformation,[],[f91]) ).
fof(f651,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X1,sK3)
| r2_hidden(sK13(X1,X0),X1)
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f640,f130]) ).
fof(f640,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3)
| ~ r1_closure3(sK1,sK2,X1,sK3)
| r2_hidden(sK13(X1,X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f163,f131]) ).
fof(f163,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X6,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| r2_hidden(sK13(X2,X6),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f2810,plain,
~ r2_hidden(sK13(sK4,sK12(sK5,sK3)),sK4),
inference(subsumption_resolution,[],[f2801,f1272]) ).
fof(f2801,plain,
( ~ r2_hidden(sK13(sK4,sK12(sK5,sK3)),sK4)
| ~ r2_hidden(sK12(sK5,sK3),sK3) ),
inference(resolution,[],[f2791,f1858]) ).
fof(f1858,plain,
! [X0] :
( r1_tarski(X0,sK13(sK4,X0))
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f1848,f134]) ).
fof(f1848,plain,
! [X0] :
( ~ r1_closure3(sK1,sK2,sK4,sK3)
| r1_tarski(X0,sK13(sK4,X0))
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f695,f132]) ).
fof(f695,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X1,sK3)
| r1_tarski(X0,sK13(X1,X0))
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f684,f130]) ).
fof(f684,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3)
| ~ r1_closure3(sK1,sK2,X1,sK3)
| r1_tarski(X0,sK13(X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f164,f131]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X6,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| r1_tarski(X6,sK13(X2,X6))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f2791,plain,
! [X0] :
( ~ r1_tarski(sK12(sK5,sK3),X0)
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f2790,f1683]) ).
fof(f1683,plain,
! [X0] :
( r2_hidden(sK13(sK5,X0),sK5)
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f1671,f135]) ).
fof(f135,plain,
r1_closure3(sK1,sK2,sK5,sK4),
inference(cnf_transformation,[],[f91]) ).
fof(f1671,plain,
! [X0] :
( ~ r1_closure3(sK1,sK2,sK5,sK4)
| r2_hidden(sK13(sK5,X0),sK5)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f652,f133]) ).
fof(f652,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X1,sK4)
| r2_hidden(sK13(X1,X0),X1)
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f641,f130]) ).
fof(f641,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| ~ r1_closure3(sK1,sK2,X1,sK4)
| r2_hidden(sK13(X1,X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f163,f132]) ).
fof(f2790,plain,
! [X0] :
( ~ r2_hidden(X0,sK4)
| ~ r1_tarski(sK12(sK5,sK3),X0)
| ~ r2_hidden(sK13(sK5,X0),sK5) ),
inference(resolution,[],[f1984,f1997]) ).
fof(f1997,plain,
! [X0] :
( ~ r1_tarski(sK12(sK5,sK3),X0)
| ~ r2_hidden(X0,sK5) ),
inference(subsumption_resolution,[],[f1989,f136]) ).
fof(f1989,plain,
! [X0] :
( ~ r2_hidden(X0,sK5)
| r1_closure3(sK1,sK2,sK5,sK3)
| ~ r1_tarski(sK12(sK5,sK3),X0) ),
inference(resolution,[],[f732,f133]) ).
fof(f732,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r2_hidden(X1,X0)
| r1_closure3(sK1,sK2,X0,sK3)
| ~ r1_tarski(sK12(X0,sK3),X1) ),
inference(subsumption_resolution,[],[f721,f130]) ).
fof(f721,plain,
! [X0,X1] :
( ~ r1_tarski(sK12(X0,sK3),X1)
| ~ r2_hidden(X1,X0)
| r1_closure3(sK1,sK2,X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f166,f131]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_tarski(sK12(X2,X3),X5)
| ~ r2_hidden(X5,X2)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f1984,plain,
! [X0,X1] :
( r1_tarski(X1,sK13(sK5,X0))
| ~ r2_hidden(X0,sK4)
| ~ r1_tarski(X1,X0) ),
inference(resolution,[],[f1893,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f1893,plain,
! [X0] :
( r1_tarski(X0,sK13(sK5,X0))
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f1883,f135]) ).
fof(f1883,plain,
! [X0] :
( ~ r1_closure3(sK1,sK2,sK5,sK4)
| r1_tarski(X0,sK13(sK5,X0))
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f696,f133]) ).
fof(f696,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X1,sK4)
| r1_tarski(X0,sK13(X1,X0))
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f685,f130]) ).
fof(f685,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| ~ r1_closure3(sK1,sK2,X1,sK4)
| r1_tarski(X0,sK13(X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f164,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:55:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28304)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (28307)WARNING: value z3 for option sas not known
% 0.14/0.37 % (28308)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (28305)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (28306)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (28310)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (28309)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (28307)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (28311)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [5]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [6]
% 0.21/0.46 TRYING [7]
% 0.21/0.46 TRYING [4]
% 0.21/0.49 % (28307)First to succeed.
% 0.21/0.49 % (28307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28304"
% 0.21/0.49 % (28307)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (28307)------------------------------
% 0.21/0.50 % (28307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.50 % (28307)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (28307)Memory used [KB]: 2705
% 0.21/0.50 % (28307)Time elapsed: 0.126 s
% 0.21/0.50 % (28307)Instructions burned: 215 (million)
% 0.21/0.50 % (28304)Success in time 0.14 s
%------------------------------------------------------------------------------