%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP643+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 Jul 24 06:27:44 PM UTC 2025
% Result : Theorem 3.56s 0.81s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 42 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 174 ( 67 ~; 66 |; 21 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_latsubgr,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(t21_latsubgr_negated,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t21_latsubgr]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l0,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(t18_latsubgr,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
<=> r1_rlvect_1(B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).
cnf(66,plain,
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r1_rlvect_1(X1,X2)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| v3_struct_0(X0) ),
inference(cnf,[status(esa)],[t18_latsubgr]) ).
cnf(l1,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(sK2)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(k1_group_1(sK1,sK3,sK4),u1_struct_0(sK1))
| ~ r1_rlvect_1(sK2,k1_group_1(sK1,sK3,sK4))
| r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(1,plain,
v3_group_1(sK1),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l8,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
l1_group_1(sK1),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l6,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
v1_group_1(sK2),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l74,plain,
v1_group_1(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
m1_group_2(sK2,sK1),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l2,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
v4_group_1(sK1),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l3,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
fof(t59_group_2,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_group_2(D,A)
=> ( ( r1_rlvect_1(D,B)
& r1_rlvect_1(D,C) )
=> r1_rlvect_1(D,k1_group_1(A,B,C)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).
cnf(72,plain,
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r1_rlvect_1(X1,X2)
| ~ r1_rlvect_1(X1,X3)
| v3_struct_0(X0)
| r1_rlvect_1(X1,k1_group_1(X0,X2,X3)) ),
inference(cnf,[status(esa)],[t59_group_2]) ).
cnf(l245,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ r1_rlvect_1(sK2,sK3)
| ~ r1_rlvect_1(sK2,sK4)
| v3_struct_0(sK1)
| r1_rlvect_1(sK2,k1_group_1(sK1,sK3,sK4)) ),
inference(instantiation,[status(thm)],[72]) ).
cnf(l387,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l279,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l250,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
fof(dt_k1_group_1,plain,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_group_1(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
cnf(20,plain,
( ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf,[status(esa)],[dt_k1_group_1]) ).
cnf(l248,plain,
( ~ l1_group_1(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| m1_subset_1(k1_group_1(sK1,sK3,sK4),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(65,plain,
( ~ v4_group_1(X0)
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X0),X2))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r1_rlvect_1(X2,X1) ),
inference(cnf,[status(esa)],[t18_latsubgr]) ).
cnf(l398,plain,
( ~ v4_group_1(sK1)
| ~ r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2))
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(sK2)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| r1_rlvect_1(sK2,sK4) ),
inference(instantiation,[status(thm)],[65]) ).
cnf(7,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l419,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[7]) ).
cnf(l246,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l413,plain,
r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l416,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l410,plain,
v1_group_1(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l270,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l420,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l414,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l386,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[7]) ).
cnf(10,plain,
~ r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l373,plain,
~ r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l404,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l396,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l269,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l384,plain,
( ~ v4_group_1(sK1)
| ~ r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2))
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(sK2)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| v3_struct_0(sK1)
| r1_rlvect_1(sK2,sK3) ),
inference(instantiation,[status(thm)],[65]) ).
cnf(l391,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l402,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l405,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l394,plain,
v1_group_1(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l390,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(8,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(cnf,[status(esa)],[t21_latsubgr_negated]) ).
cnf(l385,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l271,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[7]) ).
cnf(l395,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l6,l74,l2,l3,l245,l387,l279,l250,l248,l398,l419,l246,l413,l416,l410,l270,l420,l414,l386,l373,l404,l396,l269,l384,l391,l402,l405,l394,l390,l385,l271,l395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP643+1 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 16:21:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.47 % launching worker at depth: 11
% 3.56/0.81 % SZS status Theorem for theBenchmark
% 3.56/0.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------