TSTP Solution File: GRP628+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 01:00:51 EDT 2023
% Result : Theorem 4.19s 1.12s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 84 ( 24 unt; 0 def)
% Number of atoms : 472 ( 53 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 637 ( 249 ~; 260 |; 100 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn; 71 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
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) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f25,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f67,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_autgroup) ).
fof(f68,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f73,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
fof(f74,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_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( X1 = X3
=> k3_group_1(X0,X1) = k3_group_1(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_2) ).
fof(f82,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(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(f91,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f120,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f121,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f126,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f127,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,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,[],[f74]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,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,[],[f166]) ).
fof(f172,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(sK0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0))) )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(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(f173,plain,
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(sK0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0))) )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
=> ( ? [X2] :
( k3_group_1(k5_autgroup(sK0),X2) != k2_funct_1(sK1)
& sK1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0))) )
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X2] :
( k3_group_1(k5_autgroup(sK0),X2) != k2_funct_1(sK1)
& sK1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0))) )
=> ( k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),sK2)
& sK1 = sK2
& m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),sK2)
& sK1 = sK2
& m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0)))
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(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,sK1,sK2])],[f91,f174,f173,f172]) ).
fof(f226,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f227,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f228,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f229,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f230,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f231,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f175]) ).
fof(f232,plain,
m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0))),
inference(cnf_transformation,[],[f175]) ).
fof(f233,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f175]) ).
fof(f234,plain,
k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),sK2),
inference(cnf_transformation,[],[f175]) ).
fof(f263,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f265,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f266,plain,
! [X0] :
( v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f267,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f271,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f349,plain,
! [X2,X0,X1] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f350,plain,
! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f355,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f356,plain,
! [X2,X3,X0,X1] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,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,[],[f167]) ).
fof(f361,plain,
k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK2),
inference(definition_unfolding,[],[f234,f233]) ).
fof(f362,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(definition_unfolding,[],[f231,f233]) ).
fof(f363,plain,
! [X2,X0] :
( k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f349]) ).
fof(f364,plain,
! [X2,X3,X0] :
( k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f356]) ).
cnf(c_49,negated_conjecture,
k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK2),
inference(cnf_transformation,[],[f361]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0))),
inference(cnf_transformation,[],[f232]) ).
cnf(c_51,negated_conjecture,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f230]) ).
cnf(c_53,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f229]) ).
cnf(c_54,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f228]) ).
cnf(c_55,negated_conjecture,
v1_group_1(sK0),
inference(cnf_transformation,[],[f227]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f226]) ).
cnf(c_77,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_78,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v4_group_1(k3_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_79,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_81,plain,
( ~ v3_struct_0(k3_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_84,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_163,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| k3_group_1(k3_autgroup(X1),X0) = k2_funct_1(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_164,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_169,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_170,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k3_group_1(X1,X0) = k3_group_1(X2,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_232,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_group_1(k3_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_233,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v4_group_1(k3_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_234,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| l1_group_1(k3_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_237,plain,
( ~ v3_struct_0(k3_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_1125,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| k3_group_1(X2,X0) = k3_group_1(X1,X0)
| v3_struct_0(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_170,c_169]) ).
cnf(c_12662,plain,
( ~ m1_group_2(k5_autgroup(sK0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_subset_1(sK2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_50,c_169]) ).
cnf(c_12879,plain,
( ~ l1_group_1(k3_autgroup(sK0))
| ~ v3_group_1(k3_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| v3_struct_0(k3_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_84,c_12662]) ).
cnf(c_12880,plain,
( ~ l1_group_1(k3_autgroup(sK0))
| ~ v3_group_1(k3_autgroup(sK0))
| m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| v3_struct_0(k3_autgroup(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12879,c_56,c_55,c_54,c_53,c_52]) ).
cnf(c_12885,plain,
m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0))),
inference(global_subsumption_just,[status(thm)],[c_12880,c_55,c_54,c_53,c_52,c_56,c_232,c_234,c_237,c_12880]) ).
cnf(c_13434,plain,
( ~ m1_group_2(k5_autgroup(sK0),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(X0,sK2)
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_50,c_1125]) ).
cnf(c_14194,plain,
( ~ l1_group_1(k3_autgroup(sK0))
| ~ v4_group_1(k3_autgroup(sK0))
| ~ v3_group_1(k3_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2)
| v3_struct_0(k3_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_84,c_13434]) ).
cnf(c_14195,plain,
( ~ l1_group_1(k3_autgroup(sK0))
| ~ v4_group_1(k3_autgroup(sK0))
| ~ v3_group_1(k3_autgroup(sK0))
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2)
| v3_struct_0(k3_autgroup(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14194,c_56,c_55,c_54,c_53,c_52]) ).
cnf(c_14201,plain,
k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2),
inference(global_subsumption_just,[status(thm)],[c_14195,c_55,c_54,c_53,c_52,c_56,c_232,c_233,c_234,c_237,c_14195]) ).
cnf(c_14204,plain,
k3_group_1(k3_autgroup(sK0),sK2) != k2_funct_1(sK2),
inference(demodulation,[status(thm)],[c_49,c_14201]) ).
cnf(c_14416,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_51,c_164]) ).
cnf(c_14419,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14416,c_56,c_55,c_54,c_53,c_52]) ).
cnf(c_14490,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| k3_group_1(k3_autgroup(sK0),sK2) = k2_funct_1(sK2)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_14419,c_163]) ).
cnf(c_14494,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14490,c_56,c_14204,c_55,c_54,c_53,c_52,c_12885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 28 21:35:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.19/1.12 % SZS status Started for theBenchmark.p
% 4.19/1.12 % SZS status Theorem for theBenchmark.p
% 4.19/1.12
% 4.19/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.19/1.12
% 4.19/1.12 ------ iProver source info
% 4.19/1.12
% 4.19/1.12 git: date: 2023-05-31 18:12:56 +0000
% 4.19/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.19/1.12 git: non_committed_changes: false
% 4.19/1.12 git: last_make_outside_of_git: false
% 4.19/1.12
% 4.19/1.12 ------ Parsing...
% 4.19/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.19/1.12
% 4.19/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 4.19/1.12
% 4.19/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.19/1.12
% 4.19/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.19/1.12 ------ Proving...
% 4.19/1.12 ------ Problem Properties
% 4.19/1.12
% 4.19/1.12
% 4.19/1.12 clauses 124
% 4.19/1.12 conjectures 8
% 4.19/1.12 EPR 55
% 4.19/1.12 Horn 85
% 4.19/1.12 unary 50
% 4.19/1.12 binary 17
% 4.19/1.12 lits 358
% 4.19/1.12 lits eq 11
% 4.19/1.12 fd_pure 0
% 4.19/1.12 fd_pseudo 0
% 4.19/1.12 fd_cond 1
% 4.19/1.12 fd_pseudo_cond 3
% 4.19/1.12 AC symbols 0
% 4.19/1.12
% 4.19/1.12 ------ Schedule dynamic 5 is on
% 4.19/1.12
% 4.19/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.19/1.12
% 4.19/1.12
% 4.19/1.12 ------
% 4.19/1.12 Current options:
% 4.19/1.12 ------
% 4.19/1.12
% 4.19/1.12
% 4.19/1.12
% 4.19/1.12
% 4.19/1.12 ------ Proving...
% 4.19/1.12
% 4.19/1.12
% 4.19/1.12 % SZS status Theorem for theBenchmark.p
% 4.19/1.12
% 4.19/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.12
% 4.19/1.13
%------------------------------------------------------------------------------