TSTP Solution File: GRP641+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP641+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_sat --cores 0 -t %d %s
% Computer : n011.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 16:23:16 EDT 2022
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 87 ( 16 unt; 0 def)
% Number of atoms : 402 ( 41 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 520 ( 205 ~; 209 |; 83 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 82 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(subsumption_resolution,[],[f538,f395]) ).
fof(f395,plain,
m1_subset_1(k2_group_1(sK8),u1_struct_0(sK9)),
inference(subsumption_resolution,[],[f394,f308]) ).
fof(f308,plain,
~ v3_struct_0(sK9),
inference(subsumption_resolution,[],[f307,f196]) ).
fof(f196,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( v3_group_1(sK8)
& ~ r2_hidden(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),sK9))
& v1_group_1(sK9)
& m1_group_2(sK9,sK8)
& v4_group_1(sK8)
& l1_group_1(sK8)
& ~ v3_struct_0(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f103,f147,f146]) ).
fof(f146,plain,
( ? [X0] :
( v3_group_1(X0)
& ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_group_1(sK8)
& ? [X1] :
( ~ r2_hidden(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),X1))
& v1_group_1(X1)
& m1_group_2(X1,sK8) )
& v4_group_1(sK8)
& l1_group_1(sK8)
& ~ v3_struct_0(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X1] :
( ~ r2_hidden(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),X1))
& v1_group_1(X1)
& m1_group_2(X1,sK8) )
=> ( ~ r2_hidden(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),sK9))
& v1_group_1(sK9)
& m1_group_2(sK9,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0] :
( v3_group_1(X0)
& ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(f307,plain,
( ~ v3_struct_0(sK9)
| v3_struct_0(sK8) ),
inference(subsumption_resolution,[],[f306,f202]) ).
fof(f202,plain,
v3_group_1(sK8),
inference(cnf_transformation,[],[f148]) ).
fof(f306,plain,
( ~ v3_group_1(sK8)
| v3_struct_0(sK8)
| ~ v3_struct_0(sK9) ),
inference(subsumption_resolution,[],[f303,f197]) ).
fof(f197,plain,
l1_group_1(sK8),
inference(cnf_transformation,[],[f148]) ).
fof(f303,plain,
( ~ v3_struct_0(sK9)
| ~ l1_group_1(sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8) ),
inference(resolution,[],[f240,f199]) ).
fof(f199,plain,
m1_group_2(sK9,sK8),
inference(cnf_transformation,[],[f148]) ).
fof(f240,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) ) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ~ m1_group_2(X1,X0)
| ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) ) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f394,plain,
( v3_struct_0(sK9)
| m1_subset_1(k2_group_1(sK8),u1_struct_0(sK9)) ),
inference(subsumption_resolution,[],[f393,f300]) ).
fof(f300,plain,
l1_group_1(sK9),
inference(subsumption_resolution,[],[f299,f197]) ).
fof(f299,plain,
( l1_group_1(sK9)
| ~ l1_group_1(sK8) ),
inference(subsumption_resolution,[],[f298,f196]) ).
fof(f298,plain,
( l1_group_1(sK9)
| v3_struct_0(sK8)
| ~ l1_group_1(sK8) ),
inference(subsumption_resolution,[],[f295,f202]) ).
fof(f295,plain,
( ~ v3_group_1(sK8)
| v3_struct_0(sK8)
| ~ l1_group_1(sK8)
| l1_group_1(sK9) ),
inference(resolution,[],[f239,f199]) ).
fof(f239,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f393,plain,
( m1_subset_1(k2_group_1(sK8),u1_struct_0(sK9))
| ~ l1_group_1(sK9)
| v3_struct_0(sK9) ),
inference(superposition,[],[f176,f392]) ).
fof(f392,plain,
k2_group_1(sK9) = k2_group_1(sK8),
inference(subsumption_resolution,[],[f391,f202]) ).
fof(f391,plain,
( ~ v3_group_1(sK8)
| k2_group_1(sK9) = k2_group_1(sK8) ),
inference(subsumption_resolution,[],[f390,f197]) ).
fof(f390,plain,
( ~ l1_group_1(sK8)
| k2_group_1(sK9) = k2_group_1(sK8)
| ~ v3_group_1(sK8) ),
inference(subsumption_resolution,[],[f389,f196]) ).
fof(f389,plain,
( k2_group_1(sK9) = k2_group_1(sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ l1_group_1(sK8) ),
inference(subsumption_resolution,[],[f386,f198]) ).
fof(f198,plain,
v4_group_1(sK8),
inference(cnf_transformation,[],[f148]) ).
fof(f386,plain,
( ~ v4_group_1(sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| k2_group_1(sK9) = k2_group_1(sK8)
| ~ l1_group_1(sK8) ),
inference(resolution,[],[f226,f199]) ).
fof(f226,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k2_group_1(X0) = k2_group_1(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( k2_group_1(X0) = k2_group_1(X1)
| ~ m1_group_2(X1,X0) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X0) = k2_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k2_group_1(X0) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).
fof(f176,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f538,plain,
~ m1_subset_1(k2_group_1(sK8),u1_struct_0(sK9)),
inference(forward_demodulation,[],[f537,f534]) ).
fof(f534,plain,
k1_funct_1(k1_latsubgr(sK8),sK9) = u1_struct_0(sK9),
inference(subsumption_resolution,[],[f533,f202]) ).
fof(f533,plain,
( k1_funct_1(k1_latsubgr(sK8),sK9) = u1_struct_0(sK9)
| ~ v3_group_1(sK8) ),
inference(subsumption_resolution,[],[f532,f198]) ).
fof(f532,plain,
( k1_funct_1(k1_latsubgr(sK8),sK9) = u1_struct_0(sK9)
| ~ v4_group_1(sK8)
| ~ v3_group_1(sK8) ),
inference(subsumption_resolution,[],[f531,f196]) ).
fof(f531,plain,
( k1_funct_1(k1_latsubgr(sK8),sK9) = u1_struct_0(sK9)
| v3_struct_0(sK8)
| ~ v4_group_1(sK8)
| ~ v3_group_1(sK8) ),
inference(subsumption_resolution,[],[f530,f197]) ).
fof(f530,plain,
( ~ l1_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ v3_group_1(sK8)
| v3_struct_0(sK8)
| k1_funct_1(k1_latsubgr(sK8),sK9) = u1_struct_0(sK9) ),
inference(resolution,[],[f527,f199]) ).
fof(f527,plain,
! [X0] :
( ~ m1_group_2(sK9,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| k1_funct_1(k1_latsubgr(X0),sK9) = u1_struct_0(sK9)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f522,f200]) ).
fof(f200,plain,
v1_group_1(sK9),
inference(cnf_transformation,[],[f148]) ).
fof(f522,plain,
! [X2,X0] :
( ~ v1_group_1(X2)
| ~ l1_group_1(X0)
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2)
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f521,f219]) ).
fof(f219,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_group_1(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f521,plain,
! [X2,X0] :
( u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2)
| ~ v4_group_1(X0)
| ~ v1_group_1(X2)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ v3_group_1(X0) ),
inference(subsumption_resolution,[],[f520,f220]) ).
fof(f220,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f520,plain,
! [X2,X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X2)
| ~ v3_group_1(X0) ),
inference(subsumption_resolution,[],[f246,f218]) ).
fof(f218,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f246,plain,
! [X2,X0] :
( ~ m1_group_2(X2,X0)
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X2) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| k1_latsubgr(X0) != X1
| ~ v1_funct_1(X1)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ! [X2] :
( ~ m1_group_2(X2,X0)
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 )
& ( k1_latsubgr(X0) = X1
| ( m1_group_2(sK11(X0,X1),X0)
& k1_funct_1(X1,sK11(X0,X1)) != u1_struct_0(sK11(X0,X1))
& v1_group_1(sK11(X0,X1)) ) ) )
| ~ v1_funct_1(X1) )
| ~ v3_group_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f155,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ? [X3] :
( m1_group_2(X3,X0)
& k1_funct_1(X1,X3) != u1_struct_0(X3)
& v1_group_1(X3) )
=> ( m1_group_2(sK11(X0,X1),X0)
& k1_funct_1(X1,sK11(X0,X1)) != u1_struct_0(sK11(X0,X1))
& v1_group_1(sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ! [X2] :
( ~ m1_group_2(X2,X0)
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 )
& ( k1_latsubgr(X0) = X1
| ? [X3] :
( m1_group_2(X3,X0)
& k1_funct_1(X1,X3) != u1_struct_0(X3)
& v1_group_1(X3) ) ) )
| ~ v1_funct_1(X1) )
| ~ v3_group_1(X0) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ! [X2] :
( ~ m1_group_2(X2,X0)
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 )
& ( k1_latsubgr(X0) = X1
| ? [X2] :
( m1_group_2(X2,X0)
& k1_funct_1(X1,X2) != u1_struct_0(X2)
& v1_group_1(X2) ) ) )
| ~ v1_funct_1(X1) )
| ~ v3_group_1(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( ! [X2] :
( ~ m1_group_2(X2,X0)
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2) )
<=> k1_latsubgr(X0) = X1 )
| ~ v1_funct_1(X1) )
| ~ v3_group_1(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f537,plain,
~ m1_subset_1(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),sK9)),
inference(subsumption_resolution,[],[f535,f312]) ).
fof(f312,plain,
~ v1_xboole_0(u1_struct_0(sK9)),
inference(subsumption_resolution,[],[f310,f300]) ).
fof(f310,plain,
( ~ l1_group_1(sK9)
| ~ v1_xboole_0(u1_struct_0(sK9)) ),
inference(resolution,[],[f308,f258]) ).
fof(f258,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f190,f242]) ).
fof(f242,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f190,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f535,plain,
( v1_xboole_0(u1_struct_0(sK9))
| ~ m1_subset_1(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),sK9)) ),
inference(backward_demodulation,[],[f265,f534]) ).
fof(f265,plain,
( ~ m1_subset_1(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),sK9))
| v1_xboole_0(k1_funct_1(k1_latsubgr(sK8),sK9)) ),
inference(resolution,[],[f170,f201]) ).
fof(f201,plain,
~ r2_hidden(k2_group_1(sK8),k1_funct_1(k1_latsubgr(sK8),sK9)),
inference(cnf_transformation,[],[f148]) ).
fof(f170,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( m1_subset_1(X1,X0)
=> ( v1_xboole_0(X0)
| r2_hidden(X1,X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 22:36:54 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.15/0.37 % (14750)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.38 % (14750)First to succeed.
% 0.16/0.39 % (14750)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (14750)------------------------------
% 0.16/0.39 % (14750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.39 % (14750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.39 % (14750)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (14750)Memory used [KB]: 1279
% 0.16/0.39 % (14750)Time elapsed: 0.015 s
% 0.16/0.39 % (14750)Instructions burned: 16 (million)
% 0.16/0.39 % (14750)------------------------------
% 0.16/0.39 % (14750)------------------------------
% 0.16/0.39 % (14727)Success in time 0.07 s
%------------------------------------------------------------------------------