%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP653+4 : 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 : n005.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 72.97s 14.84s
% Output : CNFRefutation 72.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 22 unt; 0 def)
% Number of atoms : 481 ( 0 equ)
% Maximal formula atoms : 60 ( 8 avg)
% Number of connectives : 636 ( 211 ~; 221 |; 162 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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/Axioms/SET007/SET007+432.ax',t11_vectsp_8) ).
fof(dt_m3_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] :
( m3_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/Axioms/SET007/SET007+432.ax',dt_m3_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(fc1_group_4,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( v15_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& ~ v3_struct_0(k11_group_4(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+255.ax',fc1_group_4) ).
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/Axioms/SET007/SET007+255.ax',dt_k11_group_4) ).
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_7,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]) ).
fof(c_0_8,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_9,plain,
! [X1,X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X3] :
( m3_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_m3_vectsp_8]) ).
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,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_7]) ).
fof(c_0_12,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( v15_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& ~ v3_struct_0(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_group_4]) ).
fof(c_0_13,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_14,plain,
! [X1245,X1246,X1247] :
( ( ~ l3_lattices(X1245)
| ~ v10_lattices(X1245)
| v3_struct_0(X1245)
| ~ l3_lattices(X1246)
| ~ v10_lattices(X1246)
| v3_struct_0(X1246)
| ~ m2_relset_1(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ v1_funct_2(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ v1_funct_1(X1247)
| m1_lattice4(X1247,X1245,X1246)
| ~ m3_vectsp_8(X1247,X1245,X1246)
| ~ m4_vectsp_8(X1247,X1245,X1246) )
& ( ~ l3_lattices(X1245)
| ~ v10_lattices(X1245)
| v3_struct_0(X1245)
| ~ l3_lattices(X1246)
| ~ v10_lattices(X1246)
| v3_struct_0(X1246)
| ~ m2_relset_1(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ v1_funct_2(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ v1_funct_1(X1247)
| ~ m1_lattice4(X1247,X1245,X1246)
| m3_vectsp_8(X1247,X1245,X1246) )
& ( ~ l3_lattices(X1245)
| ~ v10_lattices(X1245)
| v3_struct_0(X1245)
| ~ l3_lattices(X1246)
| ~ v10_lattices(X1246)
| v3_struct_0(X1246)
| ~ m2_relset_1(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ v1_funct_2(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ v1_funct_1(X1247)
| ~ m1_lattice4(X1247,X1245,X1246)
| m4_vectsp_8(X1247,X1245,X1246) ) ),
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_8])])])])]) ).
fof(c_0_15,plain,
! [X6434,X6435,X6436] :
( ( ~ l3_lattices(X6435)
| ~ v10_lattices(X6435)
| v3_struct_0(X6435)
| ~ l3_lattices(X6434)
| ~ v10_lattices(X6434)
| v3_struct_0(X6434)
| ~ m3_vectsp_8(X6436,X6434,X6435)
| m2_relset_1(X6436,u1_struct_0(X6434),u1_struct_0(X6435)) )
& ( ~ l3_lattices(X6435)
| ~ v10_lattices(X6435)
| v3_struct_0(X6435)
| ~ l3_lattices(X6434)
| ~ v10_lattices(X6434)
| v3_struct_0(X6434)
| ~ m3_vectsp_8(X6436,X6434,X6435)
| v1_funct_2(X6436,u1_struct_0(X6434),u1_struct_0(X6435)) )
& ( ~ l3_lattices(X6435)
| ~ v10_lattices(X6435)
| v3_struct_0(X6435)
| ~ l3_lattices(X6434)
| ~ v10_lattices(X6434)
| v3_struct_0(X6434)
| ~ m3_vectsp_8(X6436,X6434,X6435)
| v1_funct_1(X6436) ) ),
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_9])])])])]) ).
fof(c_0_16,plain,
! [X125,X126,X127] :
( m4_vectsp_8(k3_latsubgr(X125,X126,X127),k11_group_4(X125),k11_group_4(X126))
| ~ m2_relset_1(X127,u1_struct_0(X125),u1_struct_0(X126))
| ~ v1_group_6(X127,X125,X126)
| ~ v1_funct_2(X127,u1_struct_0(X125),u1_struct_0(X126))
| ~ v1_funct_1(X127)
| ~ l1_group_1(X126)
| ~ v4_group_1(X126)
| ~ v3_group_1(X126)
| v3_struct_0(X126)
| ~ l1_group_1(X125)
| ~ v4_group_1(X125)
| ~ v3_group_1(X125)
| v3_struct_0(X125) ),
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_17,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_11])])])]) ).
fof(c_0_18,plain,
! [X78] :
( ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v15_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v14_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v13_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v10_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v9_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v8_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v7_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v6_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v5_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v4_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| v3_lattices(k11_group_4(X78)) )
& ( ~ l1_group_1(X78)
| ~ v4_group_1(X78)
| ~ v3_group_1(X78)
| v3_struct_0(X78)
| ~ v3_struct_0(k11_group_4(X78)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,plain,
! [X82] :
( ( ~ l1_group_1(X82)
| ~ v4_group_1(X82)
| ~ v3_group_1(X82)
| v3_struct_0(X82)
| l3_lattices(k11_group_4(X82)) )
& ( ~ l1_group_1(X82)
| ~ v4_group_1(X82)
| ~ v3_group_1(X82)
| v3_struct_0(X82)
| v10_lattices(k11_group_4(X82)) )
& ( ~ l1_group_1(X82)
| ~ v4_group_1(X82)
| ~ v3_group_1(X82)
| v3_struct_0(X82)
| v3_lattices(k11_group_4(X82)) )
& ( ~ l1_group_1(X82)
| ~ v4_group_1(X82)
| ~ v3_group_1(X82)
| v3_struct_0(X82)
| ~ v3_struct_0(k11_group_4(X82)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_20,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]) ).
cnf(c_0_21,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_14]) ).
cnf(c_0_22,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m3_vectsp_8(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m3_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_15]) ).
cnf(c_0_24,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m3_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_15]) ).
cnf(c_0_25,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_16]) ).
cnf(c_0_26,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v1_group_6(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
v4_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,negated_conjecture,
v3_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,negated_conjecture,
l1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_33,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38,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_39,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_19]) ).
fof(c_0_40,plain,
! [X6440,X6441,X6442] :
( m3_vectsp_8(k3_latsubgr(X6440,X6441,X6442),k11_group_4(X6440),k11_group_4(X6441))
| ~ v2_funct_1(X6442)
| ~ m2_relset_1(X6442,u1_struct_0(X6440),u1_struct_0(X6441))
| ~ v1_group_6(X6442,X6440,X6441)
| ~ v1_funct_2(X6442,u1_struct_0(X6440),u1_struct_0(X6441))
| ~ v1_funct_1(X6442)
| ~ l1_group_1(X6441)
| ~ v4_group_1(X6441)
| ~ v3_group_1(X6441)
| v3_struct_0(X6441)
| ~ l1_group_1(X6440)
| ~ v4_group_1(X6440)
| ~ v3_group_1(X6440)
| v3_struct_0(X6440) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_41,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_21,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_42,negated_conjecture,
m4_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
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(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_43,negated_conjecture,
v10_lattices(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_30]),c_0_28]),c_0_32])]),c_0_37]) ).
cnf(c_0_44,negated_conjecture,
v10_lattices(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_29]),c_0_33])]),c_0_36]) ).
cnf(c_0_45,negated_conjecture,
l3_lattices(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_30]),c_0_28]),c_0_32])]),c_0_37]) ).
cnf(c_0_46,negated_conjecture,
l3_lattices(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_29]),c_0_33])]),c_0_36]) ).
cnf(c_0_47,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_17]) ).
cnf(c_0_48,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_40]) ).
cnf(c_0_49,negated_conjecture,
v2_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_50,negated_conjecture,
( ~ m3_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0))
| v3_struct_0(k11_group_4(esk1_0))
| v3_struct_0(k11_group_4(esk2_0)) ),
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(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_51,negated_conjecture,
m3_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
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(spm,[status(thm)],[c_0_48,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_49]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_52,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]) ).
cnf(c_0_53,negated_conjecture,
( v3_struct_0(k11_group_4(esk2_0))
| v3_struct_0(k11_group_4(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
v3_struct_0(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_28]),c_0_30]),c_0_32])]),c_0_37]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_29]),c_0_31]),c_0_33])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP653+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n005.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 20:28:37 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 72.97/14.84 % Version: 3.5.1
% 72.97/14.84 % Preprocessing class: FMLLMLLLSSSNFFN.
% 72.97/14.84 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 72.97/14.84 % Starting new_bool_3 with 891s (3) cores
% 72.97/14.84 % Starting new_bool_1 with 891s (3) cores
% 72.97/14.84 % Starting sh5l with 297s (1) cores
% 72.97/14.84 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 72.97/14.84 % new_bool_3 with pid 1717299 completed with status 0
% 72.97/14.84 % Result found by new_bool_3
% 72.97/14.84 % Preprocessing class: FMLLMLLLSSSNFFN.
% 72.97/14.84 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 72.97/14.84 % Starting new_bool_3 with 891s (3) cores
% 72.97/14.84 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 72.97/14.84 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 72.97/14.84 % Search class: FGHSM-SMLM32-DFFFFFNN
% 72.97/14.84 % Scheduled 13 strats onto 3 cores with 890 seconds (890 total)
% 72.97/14.84 % Starting SubtermCWHack with 81s (1) cores
% 72.97/14.84 % Starting new_bool_3 with 90s (1) cores
% 72.97/14.84 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 67s (1) cores
% 72.97/14.84 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1717459 completed with status 0
% 72.97/14.84 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 72.97/14.84 % Preprocessing class: FMLLMLLLSSSNFFN.
% 72.97/14.84 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 72.97/14.84 % Starting new_bool_3 with 891s (3) cores
% 72.97/14.84 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 72.97/14.84 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 72.97/14.84 % Search class: FGHSM-SMLM32-DFFFFFNN
% 72.97/14.84 % Scheduled 13 strats onto 3 cores with 890 seconds (890 total)
% 72.97/14.84 % Starting SubtermCWHack with 81s (1) cores
% 72.97/14.84 % Starting new_bool_3 with 90s (1) cores
% 72.97/14.84 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 67s (1) cores
% 72.97/14.84 % Preprocessing time : 0.201 s
% 72.97/14.84
% 72.97/14.84 % Proof found!
% 72.97/14.84 % SZS status Theorem
% 72.97/14.84 % SZS output start CNFRefutation
% See solution above
% 72.97/14.84 % Parsed axioms : 36530
% 72.97/14.84 % Removed by relevancy pruning/SinE : 33532
% 72.97/14.84 % Initial clauses : 6478
% 72.97/14.84 % Removed in clause preprocessing : 204
% 72.97/14.84 % Initial clauses in saturation : 6274
% 72.97/14.84 % Processed clauses : 6381
% 72.97/14.84 % ...of these trivial : 76
% 72.97/14.84 % ...subsumed : 429
% 72.97/14.84 % ...remaining for further processing : 5876
% 72.97/14.84 % Other redundant clauses eliminated : 1016
% 72.97/14.84 % Clauses deleted for lack of memory : 0
% 72.97/14.84 % Backward-subsumed : 12
% 72.97/14.84 % Backward-rewritten : 49
% 72.97/14.84 % Generated clauses : 72721
% 72.97/14.84 % ...of the previous two non-redundant : 70297
% 72.97/14.84 % ...aggressively subsumed : 0
% 72.97/14.84 % Contextual simplify-reflections : 254
% 72.97/14.84 % Paramodulations : 71561
% 72.97/14.84 % Factorizations : 82
% 72.97/14.84 % NegExts : 0
% 72.97/14.84 % Equation resolutions : 1132
% 72.97/14.84 % Disequality decompositions : 0
% 72.97/14.84 % Total rewrite steps : 21903
% 72.97/14.84 % ...of those cached : 20483
% 72.97/14.84 % Propositional unsat checks : 0
% 72.97/14.84 % Propositional check models : 0
% 72.97/14.84 % Propositional check unsatisfiable : 0
% 72.97/14.84 % Propositional clauses : 0
% 72.97/14.84 % Propositional clauses after purity: 0
% 72.97/14.84 % Propositional unsat core size : 0
% 72.97/14.84 % Propositional preprocessing time : 0.000
% 72.97/14.84 % Propositional encoding time : 0.000
% 72.97/14.84 % Propositional solver time : 0.000
% 72.97/14.84 % Success case prop preproc time : 0.000
% 72.97/14.84 % Success case prop encoding time : 0.000
% 72.97/14.84 % Success case prop solver time : 0.000
% 72.97/14.84 % Current number of processed clauses : 5353
% 72.97/14.84 % Positive orientable unit clauses : 582
% 72.97/14.84 % Positive unorientable unit clauses: 4
% 72.97/14.84 % Negative unit clauses : 78
% 72.97/14.84 % Non-unit-clauses : 4689
% 72.97/14.84 % Current number of unprocessed clauses: 70185
% 72.97/14.84 % ...number of literals in the above : 356434
% 72.97/14.84 % Current number of archived formulas : 0
% 72.97/14.84 % Current number of archived clauses : 61
% 72.97/14.84 % Clause-clause subsumption calls (NU) : 14155747
% 72.97/14.84 % Rec. Clause-clause subsumption calls : 498803
% 72.97/14.84 % Non-unit clause-clause subsumptions : 672
% 72.97/14.84 % Unit Clause-clause subsumption calls : 113426
% 72.97/14.84 % Rewrite failures with RHS unbound : 0
% 72.97/14.84 % BW rewrite match attempts : 88
% 72.97/14.84 % BW rewrite match successes : 52
% 72.97/14.84 % Condensation attempts : 0
% 72.97/14.84 % Condensation successes : 0
% 72.97/14.84 % Termbank termtop insertions : 3155810
% 72.97/14.84 % Search garbage collected termcells : 468100
% 72.97/14.84
% 72.97/14.84 % -------------------------------------------------
% 72.97/14.84 % User time : 10.049 s
% 72.97/14.84 % System time : 0.307 s
% 72.97/14.84 % Total time : 10.356 s
% 72.97/14.84 % Maximum resident set size: 81336 pages
% 72.97/14.84
% 72.97/14.84 % -------------------------------------------------
% 72.97/14.84 % User time : 31.456 s
% 72.97/14.84 % System time : 0.885 s
% 72.97/14.84 % Total time : 32.341 s
% 72.97/14.84 % Maximum resident set size: 60160 pages
% 72.97/14.84 % E exiting
%------------------------------------------------------------------------------