TSTP Solution File: GRP622+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP622+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Thu Aug 31 01:26:13 EDT 2023
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 16 unt; 0 def)
% Number of atoms : 284 ( 4 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 318 ( 121 ~; 114 |; 61 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 131 (; 125 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2614,plain,
$false,
inference(subsumption_resolution,[],[f2612,f312]) ).
fof(f312,plain,
~ r2_hidden(sK3(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),
inference(resolution,[],[f188,f232]) ).
fof(f232,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK3(X0,X1),X1)
& r2_hidden(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f139,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
=> ( ~ r2_hidden(sK3(X0,X1),X1)
& r2_hidden(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',d3_tarski) ).
fof(f188,plain,
~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0)))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f132]) ).
fof(f132,plain,
( ? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0)))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',t12_autgroup) ).
fof(f2612,plain,
r2_hidden(sK3(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),
inference(resolution,[],[f1039,f413]) ).
fof(f413,plain,
m1_subset_1(sK3(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),k4_autgroup(sK0)),
inference(resolution,[],[f311,f217]) ).
fof(f217,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',t1_subset) ).
fof(f311,plain,
r2_hidden(sK3(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),k4_autgroup(sK0)),
inference(resolution,[],[f188,f231]) ).
fof(f231,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1039,plain,
! [X3] :
( ~ m1_subset_1(X3,k4_autgroup(sK0))
| r2_hidden(X3,k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))) ),
inference(forward_demodulation,[],[f1038,f422]) ).
fof(f422,plain,
! [X2] : k1_fraenkel(X2,u1_struct_0(sK0)) = k1_funct_2(X2,u1_struct_0(sK0)),
inference(resolution,[],[f318,f212]) ).
fof(f212,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',redefinition_k1_fraenkel) ).
fof(f318,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f315,f183]) ).
fof(f183,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f315,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolution,[],[f309,f201]) ).
fof(f201,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',fc1_struct_0) ).
fof(f309,plain,
l1_struct_0(sK0),
inference(resolution,[],[f187,f193]) ).
fof(f193,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',dt_l1_group_1) ).
fof(f187,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f1038,plain,
! [X3] :
( ~ m1_subset_1(X3,k4_autgroup(sK0))
| r2_hidden(X3,k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f1037,f593]) ).
fof(f593,plain,
! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(subsumption_resolution,[],[f592,f318]) ).
fof(f592,plain,
! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f590,f298]) ).
fof(f298,plain,
m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f297,f184]) ).
fof(f184,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f297,plain,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_group_1(sK0) ),
inference(subsumption_resolution,[],[f296,f185]) ).
fof(f185,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f296,plain,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(subsumption_resolution,[],[f295,f186]) ).
fof(f186,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f295,plain,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(subsumption_resolution,[],[f291,f187]) ).
fof(f291,plain,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(resolution,[],[f183,f204]) ).
fof(f204,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',dt_k4_autgroup) ).
fof(f590,plain,
! [X0] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f340,f257]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',redefinition_m2_fraenkel) ).
fof(f340,plain,
! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f334,f318]) ).
fof(f334,plain,
! [X2] :
( m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f298,f255]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',dt_m2_fraenkel) ).
fof(f1037,plain,
! [X3] :
( ~ m1_subset_1(X3,k4_autgroup(sK0))
| r2_hidden(X3,k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ m2_relset_1(X3,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f1030,f461]) ).
fof(f461,plain,
! [X1] :
( ~ m1_subset_1(X1,k4_autgroup(sK0))
| v1_funct_1(X1) ),
inference(resolution,[],[f331,f192]) ).
fof(f192,plain,
! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',cc1_fraenkel) ).
fof(f331,plain,
v1_fraenkel(k4_autgroup(sK0)),
inference(resolution,[],[f298,f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',dt_m1_fraenkel) ).
fof(f1030,plain,
! [X3] :
( ~ m1_subset_1(X3,k4_autgroup(sK0))
| r2_hidden(X3,k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ m2_relset_1(X3,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(X3) ),
inference(resolution,[],[f587,f225]) ).
fof(f225,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_funct_2(X1,X0,X0)
& v1_funct_1(X1) )
=> r2_hidden(X1,k1_funct_2(X0,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010',t12_funct_2) ).
fof(f587,plain,
! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(subsumption_resolution,[],[f586,f318]) ).
fof(f586,plain,
! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f584,f298]) ).
fof(f584,plain,
! [X0] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f339,f257]) ).
fof(f339,plain,
! [X1] :
( ~ m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f333,f318]) ).
fof(f333,plain,
! [X1] :
( v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f298,f254]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP622+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % 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 : Tue Aug 29 01:01:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.9ba9z3iy3J/Vampire---4.8_3010
% 0.10/0.31 % (3121)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (3122)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.16/0.37 % (3128)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.16/0.37 % (3123)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.16/0.37 % (3129)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.16/0.37 % (3125)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.16/0.37 % (3124)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.16/0.37 % (3127)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.46 % (3124)First to succeed.
% 0.16/0.46 % (3124)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for Vampire---4
% 0.16/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.46 % (3124)------------------------------
% 0.16/0.46 % (3124)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.46 % (3124)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.46 % (3124)Termination reason: Refutation
% 0.16/0.46
% 0.16/0.46 % (3124)Memory used [KB]: 12920
% 0.16/0.46 % (3124)Time elapsed: 0.091 s
% 0.16/0.46 % (3124)------------------------------
% 0.16/0.46 % (3124)------------------------------
% 0.16/0.46 % (3121)Success in time 0.149 s
% 0.16/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------