TSTP Solution File: GRP642+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 3.29s 1.17s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 83 ( 22 unt; 0 def)
% Number of atoms : 397 ( 57 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 525 ( 211 ~; 217 |; 79 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn; 52 !; 11 ?)
% 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) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_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) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f9,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f17,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f32,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(f34,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& 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(f61,plain,
? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& 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,[],[f60]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f76,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f86,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f87,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f86]) ).
fof(f105,plain,
( ? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& 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] :
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),X1)
& 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(f106,plain,
( ? [X1] :
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),X1)
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
& 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])],[f61,f106,f105]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f72]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
& m1_group_2(sK2(X0,X1),X0)
& v1_group_1(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
& m1_group_2(sK2(X0,X1),X0)
& v1_group_1(sK2(X0,X1)) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f109,f110]) ).
fof(f141,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f142,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f143,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f144,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f145,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f146,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f147,plain,
k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f159,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_latsubgr(X0) != X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f165,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f166,plain,
! [X0] :
( v1_funct_2(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,[],[f76]) ).
fof(f167,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,[],[f76]) ).
fof(f168,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f169,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f171,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f183,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f185,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f34]) ).
fof(f215,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f159]) ).
cnf(c_49,negated_conjecture,
k1_funct_1(k1_latsubgr(sK0),sK1) = k1_xboole_0,
inference(cnf_transformation,[],[f147]) ).
cnf(c_50,negated_conjecture,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f146]) ).
cnf(c_51,negated_conjecture,
v1_group_1(sK1),
inference(cnf_transformation,[],[f145]) ).
cnf(c_52,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f144]) ).
cnf(c_53,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f143]) ).
cnf(c_54,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f142]) ).
cnf(c_55,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f141]) ).
cnf(c_65,plain,
( ~ 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)))
| ~ m1_group_2(X1,X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_68,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_69,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_70,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v1_funct_1(k1_latsubgr(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_71,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_72,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| l1_group_1(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_74,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_86,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_88,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f185]) ).
cnf(c_167,plain,
( ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_70,c_69,c_68,c_65]) ).
cnf(c_168,plain,
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k1_funct_1(k1_latsubgr(X1),X0) = u1_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_167]) ).
cnf(c_174,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_1078,plain,
( X0 != X1
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_174,c_86]) ).
cnf(c_1079,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_1078]) ).
cnf(c_1153,plain,
( X0 != sK1
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k1_funct_1(k1_latsubgr(X1),X0) = u1_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_168]) ).
cnf(c_1154,plain,
( ~ m1_group_2(sK1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k1_funct_1(k1_latsubgr(X0),sK1) = u1_struct_0(sK1)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_1153]) ).
cnf(c_1155,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_1154]) ).
cnf(c_1367,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_168]) ).
cnf(c_1368,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1367]) ).
cnf(c_1370,plain,
( k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1368,c_54,c_52,c_55,c_1368]) ).
cnf(c_1371,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) ),
inference(renaming,[status(thm)],[c_1370]) ).
cnf(c_1883,plain,
( X0 != sK0
| X1 != sK1
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_74]) ).
cnf(c_1884,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1883]) ).
cnf(c_1885,plain,
~ v3_struct_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_1884,c_54,c_52,c_55,c_1884]) ).
cnf(c_1897,plain,
( X0 != sK0
| X1 != sK1
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| l1_group_1(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_72]) ).
cnf(c_1898,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| l1_group_1(sK1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1897]) ).
cnf(c_1899,plain,
l1_group_1(sK1),
inference(global_subsumption_just,[status(thm)],[c_1898,c_54,c_52,c_55,c_1898]) ).
cnf(c_1904,plain,
( X0 != sK1
| sK0 != sK0
| ~ v1_group_1(X0)
| k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_1371]) ).
cnf(c_1905,plain,
( ~ v1_group_1(sK1)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1904]) ).
cnf(c_1906,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_1905,c_54,c_53,c_52,c_55,c_50,c_1155]) ).
cnf(c_5439,plain,
u1_struct_0(sK1) = k1_xboole_0,
inference(demodulation,[status(thm)],[c_1906,c_49]) ).
cnf(c_5964,plain,
( ~ l1_group_1(sK1)
| ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_5439,c_1079]) ).
cnf(c_5965,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5964,c_1885,c_88,c_1899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 22:20:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.29/1.17 % SZS status Started for theBenchmark.p
% 3.29/1.17 % SZS status Theorem for theBenchmark.p
% 3.29/1.17
% 3.29/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.29/1.17
% 3.29/1.17 ------ iProver source info
% 3.29/1.17
% 3.29/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.29/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.29/1.17 git: non_committed_changes: false
% 3.29/1.17 git: last_make_outside_of_git: false
% 3.29/1.17
% 3.29/1.17 ------ Parsing...
% 3.29/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.29/1.17
% 3.29/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 3.29/1.17
% 3.29/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.29/1.17
% 3.29/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.29/1.17 ------ Proving...
% 3.29/1.17 ------ Problem Properties
% 3.29/1.17
% 3.29/1.17
% 3.29/1.17 clauses 72
% 3.29/1.17 conjectures 5
% 3.29/1.17 EPR 21
% 3.29/1.17 Horn 60
% 3.29/1.17 unary 33
% 3.29/1.17 binary 16
% 3.29/1.17 lits 158
% 3.29/1.17 lits eq 18
% 3.29/1.17 fd_pure 0
% 3.29/1.17 fd_pseudo 0
% 3.29/1.17 fd_cond 7
% 3.29/1.17 fd_pseudo_cond 3
% 3.29/1.17 AC symbols 0
% 3.29/1.17
% 3.29/1.17 ------ Schedule dynamic 5 is on
% 3.29/1.17
% 3.29/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.29/1.17
% 3.29/1.17
% 3.29/1.17 ------
% 3.29/1.17 Current options:
% 3.29/1.17 ------
% 3.29/1.17
% 3.29/1.17
% 3.29/1.17
% 3.29/1.17
% 3.29/1.17 ------ Proving...
% 3.29/1.17
% 3.29/1.17
% 3.29/1.17 % SZS status Theorem for theBenchmark.p
% 3.29/1.17
% 3.29/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.29/1.17
% 3.29/1.17
%------------------------------------------------------------------------------