%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:40:35 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 405 ( 0 equ)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 550 ( 191 ~; 196 |; 123 &)
% ( 2 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 78 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_vectsp_8,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m3_vectsp_8(X3,X1,X2)
& m4_vectsp_8(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_vectsp_8) ).
fof(dt_m4_vectsp_8,axiom,
! [X1,X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X3] :
( m4_vectsp_8(X3,X1,X2)
=> ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(t37_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(dt_k11_group_4,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& ~ v3_struct_0(k11_group_4(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(t38_latsubgr,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(t36_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_funct_1(X3)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_latsubgr) ).
fof(c_0_6,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m3_vectsp_8(X3,X1,X2)
& m4_vectsp_8(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_vectsp_8]) ).
fof(c_0_7,plain,
! [X1,X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X3] :
( m4_vectsp_8(X3,X1,X2)
=> ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m4_vectsp_8]) ).
fof(c_0_8,plain,
! [X16,X17,X18] :
( ( ~ l3_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| m1_lattice4(X18,X16,X17)
| ~ m3_vectsp_8(X18,X16,X17)
| ~ m4_vectsp_8(X18,X16,X17) )
& ( ~ l3_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| ~ m1_lattice4(X18,X16,X17)
| m3_vectsp_8(X18,X16,X17) )
& ( ~ l3_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| ~ m1_lattice4(X18,X16,X17)
| m4_vectsp_8(X18,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_9,plain,
! [X45,X46,X47] :
( ( ~ l3_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ l3_lattices(X45)
| ~ v10_lattices(X45)
| v3_struct_0(X45)
| ~ m4_vectsp_8(X47,X45,X46)
| m2_relset_1(X47,u1_struct_0(X45),u1_struct_0(X46)) )
& ( ~ l3_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ l3_lattices(X45)
| ~ v10_lattices(X45)
| v3_struct_0(X45)
| ~ m4_vectsp_8(X47,X45,X46)
| v1_funct_2(X47,u1_struct_0(X45),u1_struct_0(X46)) )
& ( ~ l3_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ l3_lattices(X45)
| ~ v10_lattices(X45)
| v3_struct_0(X45)
| ~ m4_vectsp_8(X47,X45,X46)
| v1_funct_1(X47) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_10,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t37_latsubgr]) ).
fof(c_0_11,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& ~ v3_struct_0(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_group_4]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t38_latsubgr]) ).
cnf(c_0_13,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ m4_vectsp_8(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| m1_lattice4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_17,plain,
! [X26,X27,X28] :
( m4_vectsp_8(k3_latsubgr(X26,X27,X28),k11_group_4(X26),k11_group_4(X27))
| ~ m2_relset_1(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_group_6(X28,X26,X27)
| ~ v1_funct_2(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_1(X28)
| ~ l1_group_1(X27)
| ~ v4_group_1(X27)
| ~ v3_group_1(X27)
| v3_struct_0(X27)
| ~ l1_group_1(X26)
| ~ v4_group_1(X26)
| ~ v3_group_1(X26)
| v3_struct_0(X26) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_18,plain,
! [X19] :
( ( ~ l1_group_1(X19)
| ~ v4_group_1(X19)
| ~ v3_group_1(X19)
| v3_struct_0(X19)
| l3_lattices(k11_group_4(X19)) )
& ( ~ l1_group_1(X19)
| ~ v4_group_1(X19)
| ~ v3_group_1(X19)
| v3_struct_0(X19)
| v10_lattices(k11_group_4(X19)) )
& ( ~ l1_group_1(X19)
| ~ v4_group_1(X19)
| ~ v3_group_1(X19)
| v3_struct_0(X19)
| v3_lattices(k11_group_4(X19)) )
& ( ~ l1_group_1(X19)
| ~ v4_group_1(X19)
| ~ v3_group_1(X19)
| v3_struct_0(X19)
| ~ v3_struct_0(k11_group_4(X19)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_funct_1(X3)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_latsubgr]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ m4_vectsp_8(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| m1_lattice4(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]) ).
cnf(c_0_22,plain,
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| l3_lattices(k11_group_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v10_lattices(k11_group_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X23,X24,X25] :
( m3_vectsp_8(k3_latsubgr(X23,X24,X25),k11_group_4(X23),k11_group_4(X24))
| ~ v2_funct_1(X25)
| ~ m2_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_group_6(X25,X23,X24)
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_1(X25)
| ~ l1_group_1(X24)
| ~ v4_group_1(X24)
| ~ v3_group_1(X24)
| v3_struct_0(X24)
| ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_27,negated_conjecture,
( ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0))
& v2_funct_1(esk3_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_group_6(esk3_0,esk1_0,esk2_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk3_0)
& l1_group_1(esk2_0)
& v4_group_1(esk2_0)
& v3_group_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l1_group_1(esk1_0)
& v4_group_1(esk1_0)
& v3_group_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_28,plain,
( ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_23]),c_0_24]),c_0_24]),c_0_25]),c_0_25]) ).
cnf(c_0_29,plain,
( ~ v2_funct_1(X3)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
v2_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
v1_group_6(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
l1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
v4_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,negated_conjecture,
v3_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:28:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44 % Version: 3.5.1
% 0.14/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % Starting sh5l with 300s (1) cores
% 0.14/0.44 % new_bool_3 with pid 1173947 completed with status 0
% 0.14/0.44 % Result found by new_bool_3
% 0.14/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.44 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.44 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.14/0.44 % SubtermCWHack with pid 1173950 completed with status 0
% 0.14/0.44 % Result found by SubtermCWHack
% 0.14/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.44 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.44 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.14/0.44 % Preprocessing time : 0.001 s
% 0.14/0.44
% 0.14/0.44 % Proof found!
% 0.14/0.44 % SZS status Theorem
% 0.14/0.44 % SZS output start CNFRefutation
% See solution above
% 0.14/0.45 % Parsed axioms : 66
% 0.14/0.45 % Removed by relevancy pruning/SinE : 26
% 0.14/0.45 % Initial clauses : 82
% 0.14/0.45 % Removed in clause preprocessing : 0
% 0.14/0.45 % Initial clauses in saturation : 82
% 0.14/0.45 % Processed clauses : 210
% 0.14/0.45 % ...of these trivial : 0
% 0.14/0.45 % ...subsumed : 27
% 0.14/0.45 % ...remaining for further processing : 183
% 0.14/0.45 % Other redundant clauses eliminated : 3
% 0.14/0.45 % Clauses deleted for lack of memory : 0
% 0.14/0.45 % Backward-subsumed : 0
% 0.14/0.45 % Backward-rewritten : 6
% 0.14/0.45 % Generated clauses : 219
% 0.14/0.45 % ...of the previous two non-redundant : 202
% 0.14/0.45 % ...aggressively subsumed : 0
% 0.14/0.45 % Contextual simplify-reflections : 39
% 0.14/0.45 % Paramodulations : 211
% 0.14/0.45 % Factorizations : 0
% 0.14/0.45 % NegExts : 0
% 0.14/0.45 % Equation resolutions : 8
% 0.14/0.45 % Disequality decompositions : 0
% 0.14/0.45 % Total rewrite steps : 74
% 0.14/0.45 % ...of those cached : 45
% 0.14/0.45 % Propositional unsat checks : 0
% 0.14/0.45 % Propositional check models : 0
% 0.14/0.45 % Propositional check unsatisfiable : 0
% 0.14/0.45 % Propositional clauses : 0
% 0.14/0.45 % Propositional clauses after purity: 0
% 0.14/0.45 % Propositional unsat core size : 0
% 0.14/0.45 % Propositional preprocessing time : 0.000
% 0.14/0.45 % Propositional encoding time : 0.000
% 0.14/0.45 % Propositional solver time : 0.000
% 0.14/0.45 % Success case prop preproc time : 0.000
% 0.14/0.45 % Success case prop encoding time : 0.000
% 0.14/0.45 % Success case prop solver time : 0.000
% 0.14/0.45 % Current number of processed clauses : 177
% 0.14/0.45 % Positive orientable unit clauses : 40
% 0.14/0.45 % Positive unorientable unit clauses: 0
% 0.14/0.45 % Negative unit clauses : 7
% 0.14/0.45 % Non-unit-clauses : 130
% 0.14/0.45 % Current number of unprocessed clauses: 69
% 0.14/0.45 % ...number of literals in the above : 551
% 0.14/0.45 % Current number of archived formulas : 0
% 0.14/0.45 % Current number of archived clauses : 6
% 0.14/0.45 % Clause-clause subsumption calls (NU) : 9174
% 0.14/0.45 % Rec. Clause-clause subsumption calls : 420
% 0.14/0.45 % Non-unit clause-clause subsumptions : 66
% 0.14/0.45 % Unit Clause-clause subsumption calls : 87
% 0.14/0.45 % Rewrite failures with RHS unbound : 0
% 0.14/0.45 % BW rewrite match attempts : 6
% 0.14/0.45 % BW rewrite match successes : 4
% 0.14/0.45 % Condensation attempts : 0
% 0.14/0.45 % Condensation successes : 0
% 0.14/0.45 % Termbank termtop insertions : 16799
% 0.14/0.45 % Search garbage collected termcells : 1386
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.019 s
% 0.14/0.45 % System time : 0.005 s
% 0.14/0.45 % Total time : 0.024 s
% 0.14/0.45 % Maximum resident set size: 3964 pages
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.022 s
% 0.14/0.45 % System time : 0.010 s
% 0.14/0.45 % Total time : 0.032 s
% 0.14/0.45 % Maximum resident set size: 4608 pages
% 0.14/0.45 % E exiting
%------------------------------------------------------------------------------