TSTP Solution File: GRP618+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP618+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 : 600s
% DateTime : Sat Jul 16 10:44:11 EDT 2022
% Result : Theorem 214.80s 214.96s
% Output : CNFRefutation 214.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 1 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 212 ( 62 ~; 48 |; 63 &)
% ( 4 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-3 aty)
% Number of variables : 63 ( 0 sgn 51 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l1_autgroup,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
=> v1_group_3(B,A) ) ) ) ).
fof(l2_autgroup,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( v1_group_3(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ) ) ) ).
fof(t1_autgroup,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
<=> v1_group_3(B,A) ) ) ) ).
fof(definition_0,definition,
! [A] :
( definitionFOFtoCNF_55(A)
<=> ( ~ v3_struct_0(A)
& l1_group_1(A)
& v3_group_1(A)
& v4_group_1(A) ) ) ).
fof(subgoal_0,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) )
=> v1_group_3(B,A) ) ),
inference(strip,[],[t1_autgroup]) ).
fof(subgoal_1,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_3(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( ( m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(D,u1_struct_0(B)) )
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ),
inference(strip,[],[t1_autgroup]) ).
fof(negate_0_0,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) )
=> v1_group_3(B,A) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_group_1(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& ? [B] :
( ~ v1_group_3(B,A)
& m1_group_2(B,A)
& ! [C] :
( ~ m1_subset_1(C,u1_struct_0(A))
| ! [D] :
( ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(D,u1_struct_0(B))
| r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [A] :
( ~ l1_group_1(A)
| ~ v1_group_1(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A)
| ! [B] :
( ~ m1_group_2(B,A)
| v1_group_3(B,A)
| ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(D,u1_struct_0(B)) ) ) ) ),
inference(canonicalize,[],[l1_autgroup]) ).
fof(normalize_0_2,plain,
! [A] :
( ~ definitionFOFtoCNF_55(A)
<=> ( ~ l1_group_1(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_3,plain,
! [A] :
( ~ definitionFOFtoCNF_55(A)
| ~ v1_group_1(A)
| ! [B] :
( ~ m1_group_2(B,A)
| v1_group_3(B,A)
| ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(D,u1_struct_0(B)) ) ) ) ),
inference(simplify,[],[normalize_0_1,normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] :
( ~ definitionFOFtoCNF_55(A)
| ~ v1_group_1(A)
| ! [B] :
( ~ m1_group_2(B,A)
| v1_group_3(B,A)
| ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(D,u1_struct_0(B)) ) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_4,normalize_0_2]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_5]) ).
fof(negate_1_0,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_3(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( ( m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(D,u1_struct_0(B)) )
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_group_1(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& ? [B] :
( m1_group_2(B,A)
& v1_group_3(B,A)
& ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(D,u1_struct_0(B)) ) ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
! [A] :
( ~ l1_group_1(A)
| ~ v1_group_1(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A)
| ! [B] :
( ~ m1_group_2(B,A)
| ~ v1_group_3(B,A)
| ! [C] :
( ~ m1_subset_1(C,u1_struct_0(A))
| ! [D] :
( ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(D,u1_struct_0(B))
| r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ),
inference(canonicalize,[],[l2_autgroup]) ).
fof(normalize_1_2,plain,
! [A] :
( ~ definitionFOFtoCNF_55(A)
<=> ( ~ l1_group_1(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_3,plain,
! [A] :
( ~ definitionFOFtoCNF_55(A)
| ~ v1_group_1(A)
| ! [B] :
( ~ m1_group_2(B,A)
| ~ v1_group_3(B,A)
| ! [C] :
( ~ m1_subset_1(C,u1_struct_0(A))
| ! [D] :
( ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(D,u1_struct_0(B))
| r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ),
inference(simplify,[],[normalize_1_1,normalize_1_2]) ).
fof(normalize_1_4,plain,
! [A] :
( ~ definitionFOFtoCNF_55(A)
| ~ v1_group_1(A)
| ! [B] :
( ~ m1_group_2(B,A)
| ~ v1_group_3(B,A)
| ! [C] :
( ~ m1_subset_1(C,u1_struct_0(A))
| ! [D] :
( ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(D,u1_struct_0(B))
| r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
$false,
inference(simplify,[],[normalize_1_0,normalize_1_4,normalize_1_2]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP618+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 17:24:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 214.80/214.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 214.80/214.96
% 214.80/214.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 214.80/214.97
%------------------------------------------------------------------------------