TSTP Solution File: TOP023+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP023+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 : n027.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 18:25:17 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 29 unt; 0 def)
% Number of atoms : 304 ( 61 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 342 ( 113 ~; 94 |; 102 &)
% ( 6 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 129 ( 102 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7182,plain,
$false,
inference(subsumption_resolution,[],[f7181,f7126]) ).
fof(f7126,plain,
m1_subset_1(sK13(sK10,sK9),k1_zfmisc_1(u1_struct_0(sK8))),
inference(forward_demodulation,[],[f7118,f5927]) ).
fof(f5927,plain,
u1_struct_0(sK8) = u1_struct_0(sK9),
inference(unit_resulting_resolution,[],[f158,f1839,f231]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2,X3] :
( g1_pre_topc(X0,X1) = g1_pre_topc(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(f1839,plain,
m1_subset_1(u1_pre_topc(sK9),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK9)))),
inference(unit_resulting_resolution,[],[f155,f178]) ).
fof(f178,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(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(f155,plain,
l1_pre_topc(sK9),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ~ v1_tsp_2(sK11,sK9)
& v1_tsp_2(sK10,sK8)
& sK10 = sK11
& g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9))
& m1_subset_1(sK11,k1_zfmisc_1(u1_struct_0(sK9)))
& m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
& l1_pre_topc(sK9)
& l1_pre_topc(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f72,f121,f120,f119,f118]) ).
fof(f118,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& 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) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,sK8)
& X2 = X3
& g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK8))) )
& l1_pre_topc(X1) )
& l1_pre_topc(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,sK8)
& X2 = X3
& g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK8))) )
& l1_pre_topc(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,sK9)
& v1_tsp_2(X2,sK8)
& X2 = X3
& g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK9))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK8))) )
& l1_pre_topc(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,sK9)
& v1_tsp_2(X2,sK8)
& X2 = X3
& g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK9))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK8))) )
=> ( ? [X3] :
( ~ v1_tsp_2(X3,sK9)
& v1_tsp_2(sK10,sK8)
& sK10 = X3
& g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK9))) )
& m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8))) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
( ? [X3] :
( ~ v1_tsp_2(X3,sK9)
& v1_tsp_2(sK10,sK8)
& sK10 = X3
& g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK9))) )
=> ( ~ v1_tsp_2(sK11,sK9)
& v1_tsp_2(sK10,sK8)
& sK10 = sK11
& g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9))
& m1_subset_1(sK11,k1_zfmisc_1(u1_struct_0(sK9))) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& 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(flattening,[],[f71]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& 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)))
=> ( ( v1_tsp_2(X2,X0)
& 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) ) ) ) ) ),
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)))
=> ( ( v1_tsp_2(X2,X0)
& 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) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(f158,plain,
g1_pre_topc(u1_struct_0(sK8),u1_pre_topc(sK8)) = g1_pre_topc(u1_struct_0(sK9),u1_pre_topc(sK9)),
inference(cnf_transformation,[],[f122]) ).
fof(f7118,plain,
m1_subset_1(sK13(sK10,sK9),k1_zfmisc_1(u1_struct_0(sK9))),
inference(unit_resulting_resolution,[],[f7113,f187]) ).
fof(f187,plain,
! [X0,X1] :
( sP1(X0,X1)
| m1_subset_1(sK13(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( sK13(X0,X1) != X0
& r1_tarski(X0,sK13(X0,X1))
& v1_tsp_1(sK13(X0,X1),X1)
& m1_subset_1(sK13(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ! [X3] :
( X0 = X3
| ~ r1_tarski(X0,X3)
| ~ v1_tsp_1(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f132,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( X0 != X2
& r1_tarski(X0,X2)
& v1_tsp_1(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( sK13(X0,X1) != X0
& r1_tarski(X0,sK13(X0,X1))
& v1_tsp_1(sK13(X0,X1),X1)
& m1_subset_1(sK13(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( X0 != X2
& r1_tarski(X0,X2)
& v1_tsp_1(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ! [X3] :
( X0 = X3
| ~ r1_tarski(X0,X3)
| ~ v1_tsp_1(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( X1 != X2
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X2] :
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ! [X2] :
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7113,plain,
~ sP1(sK10,sK9),
inference(unit_resulting_resolution,[],[f3860,f7108,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| sP2(X0,X1)
| ~ v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ~ sP1(X1,X0)
| ~ v1_tsp_1(X1,X0) )
& ( ( sP1(X1,X0)
& v1_tsp_1(X1,X0) )
| ~ sP2(X0,X1) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ~ sP1(X1,X0)
| ~ v1_tsp_1(X1,X0) )
& ( ( sP1(X1,X0)
& v1_tsp_1(X1,X0) )
| ~ sP2(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ( sP1(X1,X0)
& v1_tsp_1(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f7108,plain,
v1_tsp_1(sK10,sK9),
inference(unit_resulting_resolution,[],[f154,f155,f3869,f156,f252,f158,f248]) ).
fof(f248,plain,
! [X3,X0,X1] :
( ~ v1_tsp_1(X3,X0)
| v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( v1_tsp_1(X3,X1)
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ 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(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ 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(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ 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)
& 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(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(f252,plain,
m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK9))),
inference(forward_demodulation,[],[f157,f159]) ).
fof(f159,plain,
sK10 = sK11,
inference(cnf_transformation,[],[f122]) ).
fof(f157,plain,
m1_subset_1(sK11,k1_zfmisc_1(u1_struct_0(sK9))),
inference(cnf_transformation,[],[f122]) ).
fof(f156,plain,
m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8))),
inference(cnf_transformation,[],[f122]) ).
fof(f3869,plain,
v1_tsp_1(sK10,sK8),
inference(unit_resulting_resolution,[],[f3857,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f3857,plain,
sP2(sK8,sK10),
inference(unit_resulting_resolution,[],[f160,f3814,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ~ v1_tsp_2(X0,X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( ( v1_tsp_2(X0,X1)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ v1_tsp_2(X0,X1) ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1,X0] :
( ( ( v1_tsp_2(X1,X0)
| ~ sP2(X0,X1) )
& ( sP2(X0,X1)
| ~ v1_tsp_2(X1,X0) ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ( v1_tsp_2(X1,X0)
<=> sP2(X0,X1) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f3814,plain,
sP3(sK10,sK8),
inference(unit_resulting_resolution,[],[f154,f156,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sP3(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( sP3(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f82,f108,f107,f106]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| ~ 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(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| ~ 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)))
=> ( ( r1_tarski(X1,X2)
& v1_tsp_1(X2,X0) )
=> X1 = X2 ) )
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f160,plain,
v1_tsp_2(sK10,sK8),
inference(cnf_transformation,[],[f122]) ).
fof(f154,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f122]) ).
fof(f3860,plain,
~ sP2(sK9,sK10),
inference(unit_resulting_resolution,[],[f251,f3815,f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ~ sP2(X1,X0)
| v1_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f3815,plain,
sP3(sK10,sK9),
inference(unit_resulting_resolution,[],[f155,f252,f191]) ).
fof(f251,plain,
~ v1_tsp_2(sK10,sK9),
inference(forward_demodulation,[],[f161,f159]) ).
fof(f161,plain,
~ v1_tsp_2(sK11,sK9),
inference(cnf_transformation,[],[f122]) ).
fof(f7181,plain,
~ m1_subset_1(sK13(sK10,sK9),k1_zfmisc_1(u1_struct_0(sK8))),
inference(forward_demodulation,[],[f7179,f5927]) ).
fof(f7179,plain,
~ m1_subset_1(sK13(sK10,sK9),k1_zfmisc_1(u1_struct_0(sK9))),
inference(unit_resulting_resolution,[],[f155,f154,f7121,f7126,f158,f7165,f248]) ).
fof(f7165,plain,
~ v1_tsp_1(sK13(sK10,sK9),sK8),
inference(unit_resulting_resolution,[],[f3868,f7119,f7120,f7126,f186]) ).
fof(f186,plain,
! [X3,X0,X1] :
( ~ sP1(X0,X1)
| ~ r1_tarski(X0,X3)
| ~ v1_tsp_1(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X0 = X3 ),
inference(cnf_transformation,[],[f134]) ).
fof(f7120,plain,
r1_tarski(sK10,sK13(sK10,sK9)),
inference(unit_resulting_resolution,[],[f7113,f189]) ).
fof(f189,plain,
! [X0,X1] :
( sP1(X0,X1)
| r1_tarski(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f7119,plain,
sK10 != sK13(sK10,sK9),
inference(unit_resulting_resolution,[],[f7113,f190]) ).
fof(f190,plain,
! [X0,X1] :
( sK13(X0,X1) != X0
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f3868,plain,
sP1(sK10,sK8),
inference(unit_resulting_resolution,[],[f3857,f184]) ).
fof(f184,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f7121,plain,
v1_tsp_1(sK13(sK10,sK9),sK9),
inference(unit_resulting_resolution,[],[f7113,f188]) ).
fof(f188,plain,
! [X0,X1] :
( sP1(X0,X1)
| v1_tsp_1(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : TOP023+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:28:32 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (24867)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (24869)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (24872)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)
% 0.15/0.38 % (24873)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)
% 0.15/0.38 % (24868)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (24870)WARNING: value z3 for option sas not known
% 0.15/0.39 % (24874)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)
% 0.15/0.39 % (24870)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)
% 0.15/0.39 % (24871)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.41 TRYING [4]
% 0.15/0.41 TRYING [3]
% 0.15/0.43 TRYING [5]
% 0.22/0.44 TRYING [4]
% 0.22/0.47 TRYING [6]
% 0.22/0.47 % (24874)First to succeed.
% 0.22/0.48 % (24874)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (24874)------------------------------
% 0.22/0.48 % (24874)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.48 % (24874)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (24874)Memory used [KB]: 2107
% 0.22/0.48 % (24874)Time elapsed: 0.112 s
% 0.22/0.48 % (24874)Instructions burned: 190 (million)
% 0.22/0.48 % (24874)------------------------------
% 0.22/0.48 % (24874)------------------------------
% 0.22/0.48 % (24867)Success in time 0.108 s
%------------------------------------------------------------------------------