%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP653+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 : n032.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 06:27:47 PM UTC 2025
% Result : Theorem 16.92s 2.45s
% Output : CNFRefutation 16.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 199 ( 149 unt; 0 def)
% Number of atoms : 556 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 608 ( 251 ~; 241 |; 89 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t38_latsubgr,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_group_1(B)
& v4_group_1(B)
& l1_group_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_group_6(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v2_funct_1(C)
=> m1_lattice4(k3_latsubgr(A,B,C),k11_group_4(A),k11_group_4(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(t38_latsubgr_negated,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_group_1(B)
& v4_group_1(B)
& l1_group_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_group_6(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v2_funct_1(C)
=> m1_lattice4(k3_latsubgr(A,B,C),k11_group_4(A),k11_group_4(B)) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t38_latsubgr]) ).
cnf(13,plain,
~ m1_lattice4(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2)),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l0,plain,
~ m1_lattice4(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2)),
inference(instantiation,[status(thm)],[13]) ).
fof(t11_vectsp_8,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( m1_lattice4(C,A,B)
<=> ( m4_vectsp_8(C,A,B)
& m3_vectsp_8(C,A,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_vectsp_8) ).
cnf(107,plain,
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X0,X1,X2)
| ~ m3_vectsp_8(X0,X1,X2)
| m1_lattice4(X0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf,[status(esa)],[t11_vectsp_8]) ).
cnf(l1,plain,
( ~ v1_funct_1(k3_latsubgr(sK1,sK2,sK3))
| ~ v1_funct_2(k3_latsubgr(sK1,sK2,sK3),u1_struct_0(k11_group_4(sK1)),u1_struct_0(k11_group_4(sK2)))
| ~ m2_relset_1(k3_latsubgr(sK1,sK2,sK3),u1_struct_0(k11_group_4(sK1)),u1_struct_0(k11_group_4(sK2)))
| ~ l3_lattices(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK2))
| ~ v10_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK2))
| ~ m4_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2))
| m1_lattice4(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2))
| v3_struct_0(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[107]) ).
fof(t37_latsubgr,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_group_1(B)
& v4_group_1(B)
& l1_group_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_group_6(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> m4_vectsp_8(k3_latsubgr(A,B,C),k11_group_4(A),k11_group_4(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_latsubgr) ).
cnf(111,plain,
( ~ v4_group_1(X0)
| ~ v4_group_1(X1)
| ~ l1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X0)
| ~ v3_group_1(X1)
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ),
inference(cnf,[status(esa)],[t37_latsubgr]) ).
cnf(l165,plain,
( ~ v4_group_1(sK1)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK2)
| ~ v1_group_6(sK3,sK1,sK2)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| m4_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[111]) ).
cnf(7,plain,
l1_group_1(sK2),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l479,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
v1_funct_1(sK3),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l508,plain,
v1_funct_1(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
v3_group_1(sK2),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l509,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(11,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l514,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[11]) ).
fof(fc1_group_4,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( ~ v3_struct_0(k11_group_4(A))
& v3_lattices(k11_group_4(A))
& v4_lattices(k11_group_4(A))
& v5_lattices(k11_group_4(A))
& v6_lattices(k11_group_4(A))
& v7_lattices(k11_group_4(A))
& v8_lattices(k11_group_4(A))
& v9_lattices(k11_group_4(A))
& v10_lattices(k11_group_4(A))
& v13_lattices(k11_group_4(A))
& v14_lattices(k11_group_4(A))
& v15_lattices(k11_group_4(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_4) ).
cnf(70,plain,
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v10_lattices(k11_group_4(X0)) ),
inference(cnf,[status(esa)],[fc1_group_4]) ).
cnf(l202,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| v10_lattices(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(1,plain,
v3_group_1(sK1),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l511,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l564,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l239,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(10,plain,
v1_group_6(sK3,sK1,sK2),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l555,plain,
v1_group_6(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(62,plain,
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_struct_0(k11_group_4(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf,[status(esa)],[fc1_group_4]) ).
cnf(l709,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_struct_0(k11_group_4(sK1))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(6,plain,
v4_group_1(sK2),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l221,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
v4_group_1(sK1),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l333,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
fof(dt_m4_vectsp_8,plain,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ! [C] :
( m4_vectsp_8(C,A,B)
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
cnf(44,plain,
( ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf,[status(esa)],[dt_m4_vectsp_8]) ).
cnf(l2,plain,
( ~ l3_lattices(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK2))
| ~ v10_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK2))
| ~ m4_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2))
| v3_struct_0(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK2))
| m2_relset_1(k3_latsubgr(sK1,sK2,sK3),u1_struct_0(k11_group_4(sK1)),u1_struct_0(k11_group_4(sK2))) ),
inference(instantiation,[status(thm)],[44]) ).
fof(dt_k11_group_4,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( ~ v3_struct_0(k11_group_4(A))
& v3_lattices(k11_group_4(A))
& v10_lattices(k11_group_4(A))
& l3_lattices(k11_group_4(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_group_4) ).
cnf(26,plain,
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l3_lattices(k11_group_4(X0)) ),
inference(cnf,[status(esa)],[dt_k11_group_4]) ).
cnf(l171,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| l3_lattices(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l855,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
fof(dt_m3_vectsp_8,plain,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ! [C] :
( m3_vectsp_8(C,A,B)
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m3_vectsp_8) ).
cnf(39,plain,
( ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ m3_vectsp_8(X2,X0,X1)
| v1_funct_1(X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf,[status(esa)],[dt_m3_vectsp_8]) ).
cnf(l52,plain,
( ~ l3_lattices(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK2))
| ~ v10_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2))
| v1_funct_1(k3_latsubgr(sK1,sK2,sK3))
| v3_struct_0(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l164,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| v10_lattices(k11_group_4(sK1)) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(3,plain,
l1_group_1(sK1),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l729,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l281,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(25,plain,
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v10_lattices(k11_group_4(X0)) ),
inference(cnf,[status(esa)],[dt_k11_group_4]) ).
cnf(l17,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| v10_lattices(k11_group_4(sK1)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l6,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_struct_0(k11_group_4(sK1))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l181,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l208,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
~ v3_struct_0(sK2),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l1622,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l570,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| v10_lattices(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(l740,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l656,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l46,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l574,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_struct_0(k11_group_4(sK2))
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l21,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| l3_lattices(k11_group_4(sK1)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l503,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| v10_lattices(k11_group_4(sK1)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l197,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(23,plain,
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_struct_0(k11_group_4(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf,[status(esa)],[dt_k11_group_4]) ).
cnf(l504,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_struct_0(k11_group_4(sK1))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l67,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l187,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l396,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_struct_0(k11_group_4(sK2))
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l657,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l425,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l20,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| v10_lattices(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(l61,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l611,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l64,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| l3_lattices(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l35,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l308,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l170,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l610,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l532,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l604,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l581,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l722,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| l3_lattices(k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l397,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
fof(t36_latsubgr,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_group_1(B)
& v4_group_1(B)
& l1_group_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_group_6(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v2_funct_1(C)
=> m3_vectsp_8(k3_latsubgr(A,B,C),k11_group_4(A),k11_group_4(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_latsubgr) ).
cnf(110,plain,
( ~ v4_group_1(X0)
| ~ v4_group_1(X1)
| ~ l1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X0)
| ~ v3_group_1(X1)
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_funct_1(X2)
| v3_struct_0(X0)
| v3_struct_0(X1)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ),
inference(cnf,[status(esa)],[t36_latsubgr]) ).
cnf(l576,plain,
( ~ v4_group_1(sK1)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK2)
| ~ v1_group_6(sK3,sK1,sK2)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_funct_1(sK3)
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| m3_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[110]) ).
cnf(l683,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l688,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l609,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l114,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l42,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l515,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1645,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l36,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| l3_lattices(k11_group_4(sK1)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l23,plain,
( ~ v4_group_1(sK1)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK2)
| ~ v1_group_6(sK3,sK1,sK2)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| m4_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[111]) ).
cnf(l685,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l40,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l591,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l582,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l110,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l702,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_struct_0(k11_group_4(sK2))
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l402,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1642,plain,
v1_group_6(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l618,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l631,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l77,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l106,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l97,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l47,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(12,plain,
v2_funct_1(sK3),
inference(cnf,[status(esa)],[t38_latsubgr_negated]) ).
cnf(l1644,plain,
v2_funct_1(sK3),
inference(instantiation,[status(thm)],[12]) ).
cnf(l738,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l27,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l16,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l53,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l630,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l572,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l660,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l39,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l658,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l105,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l60,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| l3_lattices(k11_group_4(sK1)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l12,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l686,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l575,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l700,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l588,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l78,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l168,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l80,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l568,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l59,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l669,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l573,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l689,plain,
v1_funct_1(sK3),
inference(instantiation,[status(thm)],[8]) ).
fof(dt_k3_latsubgr,plain,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& ~ v3_struct_0(B)
& v3_group_1(B)
& v4_group_1(B)
& l1_group_1(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k3_latsubgr(A,B,C))
& v1_funct_2(k3_latsubgr(A,B,C),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B)))
& m2_relset_1(k3_latsubgr(A,B,C),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
cnf(28,plain,
( ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| v1_funct_2(k3_latsubgr(X1,X2,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(X2)))
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf,[status(esa)],[dt_k3_latsubgr]) ).
cnf(l7,plain,
( ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v4_group_1(sK1)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK2)
| v1_funct_2(k3_latsubgr(sK1,sK2,sK3),u1_struct_0(k11_group_4(sK1)),u1_struct_0(k11_group_4(sK2)))
| v3_struct_0(sK1)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l549,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l63,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l100,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l480,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l34,plain,
v1_funct_1(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l15,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l72,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l560,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1369,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l733,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l74,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1643,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l99,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l159,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l617,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l684,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l659,plain,
v1_group_6(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l558,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l510,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l111,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l687,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l57,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l483,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l31,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l481,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l486,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l91,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l56,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l66,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1646,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l1058,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l79,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
fof(redefinition_m2_relset_1,plain,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(102,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(l22,plain,
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[102]) ).
cnf(l1014,plain,
v1_funct_1(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1020,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l117,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l166,plain,
( ~ v4_group_1(sK1)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK2)
| ~ v1_group_6(sK3,sK1,sK2)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_funct_1(sK3)
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| m3_vectsp_8(k3_latsubgr(sK1,sK2,sK3),k11_group_4(sK1),k11_group_4(sK2)) ),
inference(instantiation,[status(thm)],[110]) ).
cnf(l1638,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l93,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l720,plain,
v1_group_6(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1633,plain,
v2_funct_1(sK3),
inference(instantiation,[status(thm)],[12]) ).
cnf(l487,plain,
v1_funct_1(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l178,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l161,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l488,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l502,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l190,plain,
l1_group_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l167,plain,
v4_group_1(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1639,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l484,plain,
v3_group_1(sK2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l169,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l174,plain,
l1_group_1(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l426,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l489,plain,
v3_group_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l165,l479,l508,l509,l514,l202,l511,l564,l239,l555,l709,l221,l333,l2,l171,l855,l52,l164,l729,l281,l17,l6,l181,l208,l1622,l570,l740,l656,l46,l574,l21,l3,l503,l197,l504,l67,l187,l396,l657,l425,l20,l61,l611,l64,l35,l308,l170,l610,l532,l604,l581,l722,l9,l397,l576,l683,l688,l609,l114,l42,l515,l1645,l36,l23,l685,l40,l591,l582,l110,l702,l19,l402,l1642,l618,l631,l77,l106,l97,l47,l1644,l738,l27,l16,l53,l630,l572,l660,l39,l658,l105,l60,l12,l686,l575,l700,l588,l78,l168,l80,l568,l59,l669,l573,l689,l7,l549,l63,l100,l480,l34,l15,l72,l560,l1369,l733,l74,l1643,l99,l159,l617,l684,l659,l558,l510,l111,l687,l57,l483,l31,l481,l486,l91,l56,l66,l1646,l1058,l79,l22,l1014,l1020,l117,l166,l1638,l93,l720,l1633,l487,l178,l161,l488,l502,l190,l167,l1639,l484,l169,l174,l426,l489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP653+1 : TPTP v9.0.0. Released v3.4.0.
% 0.02/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun Jul 20 16:31:19 EDT 2025
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % launching worker at depth: 1
% 0.11/0.30 % launching worker at depth: 2
% 0.11/0.30 % launching worker at depth: 7
% 0.11/0.30 % launching worker at depth: 3
% 0.11/0.30 % launching worker at depth: 5
% 0.11/0.30 % launching worker at depth: 6
% 0.11/0.30 % launching worker at depth: 8
% 0.11/0.30 % launching worker at depth: 4
% 0.11/0.31 % launching worker at depth: 9
% 0.16/0.33 % launching worker at depth: 10
% 0.16/0.41 % launching worker at depth: 11
% 16.92/2.45 % SZS status Theorem for theBenchmark
% 16.92/2.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------