TSTP Solution File: GRP643+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 01:01:00 EDT 2023
% Result : Theorem 3.00s 1.06s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 84 ( 26 unt; 0 def)
% Number of atoms : 446 ( 11 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 608 ( 246 ~; 238 |; 98 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 143 ( 0 sgn; 54 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(f47,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f52,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( ( r1_rlvect_1(X3,X2)
& r1_rlvect_1(X3,X1) )
=> r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f105]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& m1_group_2(sK1,sK0)
& v1_group_1(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f63,f114,f113,f112,f111]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f146,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f147,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f148,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f149,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f150,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f151,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f152,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f115]) ).
fof(f153,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f115]) ).
fof(f154,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f155,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f156,plain,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f170,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f213,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f214,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_49,negated_conjecture,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f156]) ).
cnf(c_50,negated_conjecture,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f155]) ).
cnf(c_51,negated_conjecture,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f154]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f153]) ).
cnf(c_53,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f152]) ).
cnf(c_54,negated_conjecture,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f151]) ).
cnf(c_55,negated_conjecture,
v1_group_1(sK1),
inference(cnf_transformation,[],[f150]) ).
cnf(c_56,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f149]) ).
cnf(c_57,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f148]) ).
cnf(c_58,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f147]) ).
cnf(c_59,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f146]) ).
cnf(c_68,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| m1_subset_1(k1_group_1(X1,X0,X2),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_111,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,X0)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(X1),X2))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_112,plain,
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(X1),X2))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| r1_rlvect_1(X2,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_117,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X0)
| ~ r1_rlvect_1(X3,X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| r1_rlvect_1(X3,k1_group_1(X1,X0,X2))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_1199,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X3,X0)
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_117]) ).
cnf(c_1200,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r1_rlvect_1(X2,X0)
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(X2,k1_group_1(sK0,X0,X1))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1199]) ).
cnf(c_1202,plain,
( r1_rlvect_1(X2,k1_group_1(sK0,X0,X1))
| ~ m1_group_2(X2,sK0)
| ~ r1_rlvect_1(X2,X1)
| ~ r1_rlvect_1(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1200,c_58,c_56,c_59,c_1200]) ).
cnf(c_1203,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r1_rlvect_1(X2,X0)
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,sK0)
| r1_rlvect_1(X2,k1_group_1(sK0,X0,X1)) ),
inference(renaming,[status(thm)],[c_1202]) ).
cnf(c_1223,plain,
( X0 != sK0
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X0),X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r1_rlvect_1(X2,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_112]) ).
cnf(c_1224,plain,
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(X1,X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1223]) ).
cnf(c_1226,plain,
( r1_rlvect_1(X1,X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1224,c_58,c_56,c_59,c_1224]) ).
cnf(c_1227,plain,
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| r1_rlvect_1(X1,X0) ),
inference(renaming,[status(thm)],[c_1226]) ).
cnf(c_1244,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X2,X0)
| ~ r1_rlvect_1(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(X0),X2))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_111]) ).
cnf(c_1245,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(X1,X0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),X1))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1244]) ).
cnf(c_1247,plain,
( r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),X1))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK0)
| ~ r1_rlvect_1(X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1245,c_58,c_56,c_59,c_1245]) ).
cnf(c_1248,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(X1,X0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),X1)) ),
inference(renaming,[status(thm)],[c_1247]) ).
cnf(c_1293,plain,
( X0 != sK1
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r1_rlvect_1(X0,X1)
| ~ m1_group_2(X0,sK0)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0),X0)) ),
inference(resolution_lifted,[status(thm)],[c_55,c_1248]) ).
cnf(c_1294,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X0)
| ~ m1_group_2(sK1,sK0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(unflattening,[status(thm)],[c_1293]) ).
cnf(c_1308,plain,
( X0 != sK1
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0),X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_group_2(X0,sK0)
| r1_rlvect_1(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_55,c_1227]) ).
cnf(c_1309,plain,
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| r1_rlvect_1(sK1,X0) ),
inference(unflattening,[status(thm)],[c_1308]) ).
cnf(c_2161,plain,
( X0 != sK1
| sK0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ r1_rlvect_1(X0,X1)
| ~ r1_rlvect_1(X0,X2)
| r1_rlvect_1(X0,k1_group_1(sK0,X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_1203]) ).
cnf(c_2162,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X0)
| ~ r1_rlvect_1(sK1,X1)
| r1_rlvect_1(sK1,k1_group_1(sK0,X0,X1)) ),
inference(unflattening,[status(thm)],[c_2161]) ).
cnf(c_2179,plain,
( X0 != sK1
| sK0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r1_rlvect_1(X0,X1)
| ~ v1_group_1(X0)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0),X0)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_1248]) ).
cnf(c_2180,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X0)
| ~ v1_group_1(sK1)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(unflattening,[status(thm)],[c_2179]) ).
cnf(c_2181,plain,
( ~ r1_rlvect_1(sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_2180,c_54,c_1294]) ).
cnf(c_2182,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(renaming,[status(thm)],[c_2181]) ).
cnf(c_2192,plain,
( X0 != sK1
| sK0 != sK0
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0),X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v1_group_1(X0)
| r1_rlvect_1(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_54,c_1227]) ).
cnf(c_2193,plain,
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_group_1(sK1)
| r1_rlvect_1(sK1,X0) ),
inference(unflattening,[status(thm)],[c_2192]) ).
cnf(c_2194,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| r1_rlvect_1(sK1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2193,c_54,c_1309]) ).
cnf(c_2195,plain,
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,X0) ),
inference(renaming,[status(thm)],[c_2194]) ).
cnf(c_4044,plain,
( ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)) ),
inference(superposition,[status(thm)],[c_2182,c_49]) ).
cnf(c_4053,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| r1_rlvect_1(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50,c_2195]) ).
cnf(c_4054,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| r1_rlvect_1(sK1,sK2) ),
inference(superposition,[status(thm)],[c_51,c_2195]) ).
cnf(c_4056,plain,
r1_rlvect_1(sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_4054,c_53]) ).
cnf(c_4057,plain,
r1_rlvect_1(sK1,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_4053,c_52]) ).
cnf(c_4477,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_68,c_4044]) ).
cnf(c_4478,plain,
~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_4477,c_59,c_56,c_52,c_53]) ).
cnf(c_4525,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,sK2)
| ~ r1_rlvect_1(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2162,c_4478]) ).
cnf(c_4526,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4525,c_4057,c_4056,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Aug 28 22:23:01 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.00/1.06 % SZS status Started for theBenchmark.p
% 3.00/1.06 % SZS status Theorem for theBenchmark.p
% 3.00/1.06
% 3.00/1.06 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.00/1.06
% 3.00/1.06 ------ iProver source info
% 3.00/1.06
% 3.00/1.06 git: date: 2023-05-31 18:12:56 +0000
% 3.00/1.06 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.00/1.06 git: non_committed_changes: false
% 3.00/1.06 git: last_make_outside_of_git: false
% 3.00/1.06
% 3.00/1.06 ------ Parsing...
% 3.00/1.06 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.00/1.06
% 3.00/1.06 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e
% 3.00/1.06
% 3.00/1.06 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.00/1.06
% 3.00/1.06 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.00/1.06 ------ Proving...
% 3.00/1.06 ------ Problem Properties
% 3.00/1.06
% 3.00/1.06
% 3.00/1.06 clauses 82
% 3.00/1.06 conjectures 9
% 3.00/1.06 EPR 18
% 3.00/1.06 Horn 72
% 3.00/1.06 unary 36
% 3.00/1.06 binary 15
% 3.00/1.06 lits 173
% 3.00/1.06 lits eq 24
% 3.00/1.06 fd_pure 0
% 3.00/1.06 fd_pseudo 0
% 3.00/1.06 fd_cond 3
% 3.00/1.06 fd_pseudo_cond 5
% 3.00/1.06 AC symbols 0
% 3.00/1.06
% 3.00/1.06 ------ Schedule dynamic 5 is on
% 3.00/1.06
% 3.00/1.06 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.00/1.06
% 3.00/1.06
% 3.00/1.06 ------
% 3.00/1.06 Current options:
% 3.00/1.06 ------
% 3.00/1.06
% 3.00/1.06
% 3.00/1.06
% 3.00/1.06
% 3.00/1.06 ------ Proving...
% 3.00/1.06
% 3.00/1.06
% 3.00/1.06 % SZS status Theorem for theBenchmark.p
% 3.00/1.06
% 3.00/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.00/1.06
% 3.00/1.06
%------------------------------------------------------------------------------