%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP644+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 3.57s 0.80s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 33 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 150 ( 58 ~; 56 |; 19 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t22_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))
=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(t22_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))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t22_latsubgr]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l0,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(t60_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_group_2(C,A)
=> ( r1_rlvect_1(C,B)
=> r1_rlvect_1(C,k3_group_1(A,B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
cnf(71,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))
| ~ r1_rlvect_1(X1,X2)
| v3_struct_0(X0)
| r1_rlvect_1(X1,k3_group_1(X0,X2)) ),
inference(cnf,[status(esa)],[t60_group_2]) ).
cnf(l1,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))
| ~ r1_rlvect_1(sK2,sK3)
| v3_struct_0(sK1)
| r1_rlvect_1(sK2,k3_group_1(sK1,sK3)) ),
inference(instantiation,[status(thm)],[71]) ).
cnf(2,plain,
v4_group_1(sK1),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l3,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
l1_group_1(sK1),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l5,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
v3_group_1(sK1),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l6,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
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/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
cnf(64,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(l153,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(k3_group_1(sK1,sK3),u1_struct_0(sK1))
| ~ r1_rlvect_1(sK2,k3_group_1(sK1,sK3))
| r2_hidden(k3_group_1(sK1,sK3),k1_funct_1(k1_latsubgr(sK1),sK2))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(63,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(l169,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)],[63]) ).
cnf(8,plain,
~ r2_hidden(k3_group_1(sK1,sK3),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l161,plain,
~ r2_hidden(k3_group_1(sK1,sK3),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l173,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l175,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l154,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
v1_group_1(sK2),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l170,plain,
v1_group_1(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l155,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
m1_group_2(sK2,sK1),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l181,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l163,plain,
v1_group_1(sK2),
inference(instantiation,[status(thm)],[4]) ).
fof(dt_k3_group_1,plain,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
cnf(21,plain,
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
inference(cnf,[status(esa)],[dt_k3_group_1]) ).
cnf(l171,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| v3_struct_0(sK1)
| m1_subset_1(k3_group_1(sK1,sK3),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(7,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(cnf,[status(esa)],[t22_latsubgr_negated]) ).
cnf(l180,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(instantiation,[status(thm)],[7]) ).
cnf(l162,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l188,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l119,plain,
m1_group_2(sK2,sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l172,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l227,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l239,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l178,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l158,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l196,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,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,l3,l5,l6,l153,l169,l161,l173,l175,l154,l170,l155,l181,l163,l171,l180,l162,l188,l119,l172,l227,l239,l178,l158,l196,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP644+1 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 : Sun Jul 20 16:22:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.45 % launching worker at depth: 11
% 3.57/0.80 % SZS status Theorem for theBenchmark
% 3.57/0.80 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------