TSTP Solution File: TOP023+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n021.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 19:52:34 EDT 2022
% Result : Theorem 0.13s 0.49s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 22 unt; 0 def)
% Number of atoms : 328 ( 71 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 406 ( 142 ~; 127 |; 105 &)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 123 ( 95 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(subsumption_resolution,[],[f238,f239]) ).
fof(f239,plain,
~ v1_tsp_1(sK7(sK4,sK5),sK3),
inference(unit_resulting_resolution,[],[f106,f107,f159,f158,f112,f175,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ( ! [X2] :
( ~ v1_tsp_1(X2,X0)
| X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) )
& ( v1_tsp_2(X1,X0)
| ( v1_tsp_1(sK7(X0,X1),X0)
& sK7(X0,X1) != X1
& m1_subset_1(sK7(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,sK7(X0,X1)) )
| ~ v1_tsp_1(X1,X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X3] :
( v1_tsp_1(X3,X0)
& X1 != X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X3) )
=> ( v1_tsp_1(sK7(X0,X1),X0)
& sK7(X0,X1) != X1
& m1_subset_1(sK7(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ( ! [X2] :
( ~ v1_tsp_1(X2,X0)
| X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) )
& ( v1_tsp_2(X1,X0)
| ? [X3] :
( v1_tsp_1(X3,X0)
& X1 != X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X3) )
| ~ v1_tsp_1(X1,X0) ) ) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ( ! [X2] :
( ~ v1_tsp_1(X2,X0)
| X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) )
& ( v1_tsp_2(X1,X0)
| ? [X2] :
( v1_tsp_1(X2,X0)
& X1 != X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2) )
| ~ v1_tsp_1(X1,X0) ) ) ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ( ! [X2] :
( ~ v1_tsp_1(X2,X0)
| X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) )
& ( v1_tsp_2(X1,X0)
| ? [X2] :
( v1_tsp_1(X2,X0)
& X1 != X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2) )
| ~ v1_tsp_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ! [X2] :
( ~ v1_tsp_1(X2,X0)
| X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2) )
& v1_tsp_1(X1,X0) )
<=> v1_tsp_2(X1,X0) ) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> X1 = X2 ) )
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f175,plain,
m1_subset_1(sK7(sK4,sK5),k1_zfmisc_1(u1_struct_0(sK3))),
inference(backward_demodulation,[],[f161,f163]) ).
fof(f163,plain,
u1_struct_0(sK4) = u1_struct_0(sK3),
inference(unit_resulting_resolution,[],[f109,f124,f100]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| X0 = X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ! [X3,X2] :
( ( X0 = X2
& X1 = X3 )
| g1_pre_topc(X1,X0) != g1_pre_topc(X3,X2) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X2,X3] :
( g1_pre_topc(X1,X0) = g1_pre_topc(X3,X2)
=> ( X0 = X2
& X1 = X3 ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3,X2] :
( g1_pre_topc(X0,X1) = g1_pre_topc(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(f124,plain,
m1_subset_1(u1_pre_topc(sK3),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK3)))),
inference(unit_resulting_resolution,[],[f106,f96]) ).
fof(f96,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_pre_topc(X0)
=> m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(f109,plain,
g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4)),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( l1_pre_topc(sK4)
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& sK5 = sK6
& g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& ~ v1_tsp_2(sK6,sK4)
& v1_tsp_2(sK5,sK3)
& l1_pre_topc(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f72,f87,f86,f85,f84]) ).
fof(f84,plain,
( ? [X0] :
( ? [X1] :
( l1_pre_topc(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,X0) ) ) )
& l1_pre_topc(X0) )
=> ( ? [X1] :
( l1_pre_topc(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK3)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& X2 = X3
& g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
& ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,sK3) ) ) )
& l1_pre_topc(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X1] :
( l1_pre_topc(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK3)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& X2 = X3
& g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3))
& ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,sK3) ) ) )
=> ( l1_pre_topc(sK4)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK3)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4)))
& X2 = X3
& g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& ~ v1_tsp_2(X3,sK4)
& v1_tsp_2(X2,sK3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK3)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4)))
& X2 = X3
& g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& ~ v1_tsp_2(X3,sK4)
& v1_tsp_2(X2,sK3) ) )
=> ( m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4)))
& sK5 = X3
& g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& ~ v1_tsp_2(X3,sK4)
& v1_tsp_2(sK5,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4)))
& sK5 = X3
& g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& ~ v1_tsp_2(X3,sK4)
& v1_tsp_2(sK5,sK3) )
=> ( m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& sK5 = sK6
& g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& ~ v1_tsp_2(sK6,sK4)
& v1_tsp_2(sK5,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( l1_pre_topc(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,X0) ) ) )
& l1_pre_topc(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& v1_tsp_2(X2,X0)
& X2 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) )
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& v1_tsp_2(X2,X0)
& X2 = X3 )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& v1_tsp_2(X2,X0)
& X2 = X3 )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(f161,plain,
m1_subset_1(sK7(sK4,sK5),k1_zfmisc_1(u1_struct_0(sK4))),
inference(unit_resulting_resolution,[],[f113,f122,f123,f156,f115]) ).
fof(f115,plain,
! [X0,X1] :
( m1_subset_1(sK7(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f156,plain,
v1_tsp_1(sK5,sK4),
inference(unit_resulting_resolution,[],[f113,f106,f112,f123,f109,f135,f121]) ).
fof(f121,plain,
! [X3,X0,X1] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ v1_tsp_1(X3,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(X3,X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ v1_tsp_1(X2,X0)
| v1_tsp_1(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ v1_tsp_1(X2,X0)
| v1_tsp_1(X3,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) ) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| ~ v1_tsp_1(X2,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_1(X2,X0)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3 )
=> v1_tsp_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(f135,plain,
v1_tsp_1(sK5,sK3),
inference(unit_resulting_resolution,[],[f106,f107,f112,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v1_tsp_1(X1,X0)
| ~ v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f123,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))),
inference(forward_demodulation,[],[f111,f110]) ).
fof(f110,plain,
sK5 = sK6,
inference(cnf_transformation,[],[f88]) ).
fof(f111,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
~ v1_tsp_2(sK5,sK4),
inference(backward_demodulation,[],[f108,f110]) ).
fof(f108,plain,
~ v1_tsp_2(sK6,sK4),
inference(cnf_transformation,[],[f88]) ).
fof(f113,plain,
l1_pre_topc(sK4),
inference(cnf_transformation,[],[f88]) ).
fof(f112,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3))),
inference(cnf_transformation,[],[f88]) ).
fof(f158,plain,
r1_tarski(sK5,sK7(sK4,sK5)),
inference(unit_resulting_resolution,[],[f113,f122,f123,f156,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| r1_tarski(X1,sK7(X0,X1))
| v1_tsp_2(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f159,plain,
sK7(sK4,sK5) != sK5,
inference(unit_resulting_resolution,[],[f113,f122,f123,f156,f116]) ).
fof(f116,plain,
! [X0,X1] :
( sK7(X0,X1) != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f107,plain,
v1_tsp_2(sK5,sK3),
inference(cnf_transformation,[],[f88]) ).
fof(f106,plain,
l1_pre_topc(sK3),
inference(cnf_transformation,[],[f88]) ).
fof(f238,plain,
v1_tsp_1(sK7(sK4,sK5),sK3),
inference(unit_resulting_resolution,[],[f157,f175,f184]) ).
fof(f184,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v1_tsp_1(X0,sK4)
| v1_tsp_1(X0,sK3) ),
inference(subsumption_resolution,[],[f183,f106]) ).
fof(f183,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| v1_tsp_1(X0,sK3)
| ~ v1_tsp_1(X0,sK4) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v1_tsp_1(X0,sK3)
| ~ v1_tsp_1(X0,sK4)
| ~ l1_pre_topc(sK3) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X2,X3] :
( g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| v1_tsp_1(X3,X2)
| ~ v1_tsp_1(X3,sK4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(backward_demodulation,[],[f145,f163]) ).
fof(f145,plain,
! [X2,X3] :
( ~ v1_tsp_1(X3,sK4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_tsp_1(X3,X2)
| ~ l1_pre_topc(X2)
| g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) ),
inference(subsumption_resolution,[],[f137,f113]) ).
fof(f137,plain,
! [X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(sK4)
| ~ l1_pre_topc(X2)
| g1_pre_topc(u1_struct_0(sK3),u1_pre_topc(sK3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| v1_tsp_1(X3,X2)
| ~ v1_tsp_1(X3,sK4) ),
inference(superposition,[],[f121,f109]) ).
fof(f157,plain,
v1_tsp_1(sK7(sK4,sK5),sK4),
inference(unit_resulting_resolution,[],[f113,f122,f123,f156,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK7(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 29 14:29:10 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.45 % (3639)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.45 % (3628)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)
% 0.13/0.45 % (3639)Instruction limit reached!
% 0.13/0.45 % (3639)------------------------------
% 0.13/0.45 % (3639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.45 % (3638)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.46 % (3639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.46 % (3639)Termination reason: Unknown
% 0.13/0.46 % (3639)Termination phase: Saturation
% 0.13/0.46
% 0.13/0.46 % (3639)Memory used [KB]: 1535
% 0.13/0.46 % (3639)Time elapsed: 0.006 s
% 0.13/0.46 % (3639)Instructions burned: 4 (million)
% 0.13/0.46 % (3639)------------------------------
% 0.13/0.46 % (3639)------------------------------
% 0.13/0.47 % (3632)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)
% 0.13/0.47 % (3648)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.13/0.47 % (3640)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.47 % (3631)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.13/0.47 % (3647)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.13/0.48 % (3628)First to succeed.
% 0.13/0.48 % (3637)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.48 % (3640)Instruction limit reached!
% 0.13/0.48 % (3640)------------------------------
% 0.13/0.48 % (3640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.49 % (3628)Refutation found. Thanks to Tanya!
% 0.13/0.49 % SZS status Theorem for theBenchmark
% 0.13/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.49 % (3628)------------------------------
% 0.13/0.49 % (3628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.49 % (3628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.49 % (3628)Termination reason: Refutation
% 0.13/0.49
% 0.13/0.49 % (3628)Memory used [KB]: 6140
% 0.13/0.49 % (3628)Time elapsed: 0.115 s
% 0.13/0.49 % (3628)Instructions burned: 11 (million)
% 0.13/0.49 % (3628)------------------------------
% 0.13/0.49 % (3628)------------------------------
% 0.13/0.49 % (3624)Success in time 0.188 s
%------------------------------------------------------------------------------