TSTP Solution File: GRP653+3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP653+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:42:33 EDT 2023
% Result : Theorem 109.45s 17.94s
% Output : CNFRefutation 109.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 18 unt; 0 def)
% Number of atoms : 478 ( 0 equ)
% Maximal formula atoms : 60 ( 8 avg)
% Number of connectives : 641 ( 217 ~; 233 |; 153 &)
% ( 2 <=>; 36 =>; 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 : 72 ( 0 sgn; 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_vectsp_8,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',t11_vectsp_8) ).
fof(dt_m3_vectsp_8,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m3_vectsp_8(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',dt_m3_vectsp_8) ).
fof(t36_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( 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)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',t36_latsubgr) ).
fof(t38_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( 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)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',t38_latsubgr) ).
fof(t37_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( 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)) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',t37_latsubgr) ).
fof(dt_k11_group_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',dt_k11_group_4) ).
fof(fc1_group_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v15_lattices(k11_group_4(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p',fc1_group_4) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_vectsp_8]) ).
fof(c_0_8,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m3_vectsp_8(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m3_vectsp_8]) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( 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)
=> 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_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( 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)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t38_latsubgr])]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( 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)) )
=> 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_12,plain,
! [X1023,X1024,X1025] :
( ( m4_vectsp_8(X1025,X1023,X1024)
| ~ m1_lattice4(X1025,X1023,X1024)
| ~ v1_funct_1(X1025)
| ~ v1_funct_2(X1025,u1_struct_0(X1023),u1_struct_0(X1024))
| ~ m2_relset_1(X1025,u1_struct_0(X1023),u1_struct_0(X1024))
| v3_struct_0(X1024)
| ~ v10_lattices(X1024)
| ~ l3_lattices(X1024)
| v3_struct_0(X1023)
| ~ v10_lattices(X1023)
| ~ l3_lattices(X1023) )
& ( m3_vectsp_8(X1025,X1023,X1024)
| ~ m1_lattice4(X1025,X1023,X1024)
| ~ v1_funct_1(X1025)
| ~ v1_funct_2(X1025,u1_struct_0(X1023),u1_struct_0(X1024))
| ~ m2_relset_1(X1025,u1_struct_0(X1023),u1_struct_0(X1024))
| v3_struct_0(X1024)
| ~ v10_lattices(X1024)
| ~ l3_lattices(X1024)
| v3_struct_0(X1023)
| ~ v10_lattices(X1023)
| ~ l3_lattices(X1023) )
& ( ~ m4_vectsp_8(X1025,X1023,X1024)
| ~ m3_vectsp_8(X1025,X1023,X1024)
| m1_lattice4(X1025,X1023,X1024)
| ~ v1_funct_1(X1025)
| ~ v1_funct_2(X1025,u1_struct_0(X1023),u1_struct_0(X1024))
| ~ m2_relset_1(X1025,u1_struct_0(X1023),u1_struct_0(X1024))
| v3_struct_0(X1024)
| ~ v10_lattices(X1024)
| ~ l3_lattices(X1024)
| v3_struct_0(X1023)
| ~ v10_lattices(X1023)
| ~ l3_lattices(X1023) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_13,plain,
! [X4335,X4336,X4337] :
( ( v1_funct_1(X4337)
| ~ m3_vectsp_8(X4337,X4335,X4336)
| v3_struct_0(X4335)
| ~ v10_lattices(X4335)
| ~ l3_lattices(X4335)
| v3_struct_0(X4336)
| ~ v10_lattices(X4336)
| ~ l3_lattices(X4336) )
& ( v1_funct_2(X4337,u1_struct_0(X4335),u1_struct_0(X4336))
| ~ m3_vectsp_8(X4337,X4335,X4336)
| v3_struct_0(X4335)
| ~ v10_lattices(X4335)
| ~ l3_lattices(X4335)
| v3_struct_0(X4336)
| ~ v10_lattices(X4336)
| ~ l3_lattices(X4336) )
& ( m2_relset_1(X4337,u1_struct_0(X4335),u1_struct_0(X4336))
| ~ m3_vectsp_8(X4337,X4335,X4336)
| v3_struct_0(X4335)
| ~ v10_lattices(X4335)
| ~ l3_lattices(X4335)
| v3_struct_0(X4336)
| ~ v10_lattices(X4336)
| ~ l3_lattices(X4336) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_14,plain,
! [X4341,X4342,X4343] :
( v3_struct_0(X4341)
| ~ v3_group_1(X4341)
| ~ v4_group_1(X4341)
| ~ l1_group_1(X4341)
| v3_struct_0(X4342)
| ~ v3_group_1(X4342)
| ~ v4_group_1(X4342)
| ~ l1_group_1(X4342)
| ~ v1_funct_1(X4343)
| ~ v1_funct_2(X4343,u1_struct_0(X4341),u1_struct_0(X4342))
| ~ v1_group_6(X4343,X4341,X4342)
| ~ m2_relset_1(X4343,u1_struct_0(X4341),u1_struct_0(X4342))
| ~ v2_funct_1(X4343)
| m3_vectsp_8(k3_latsubgr(X4341,X4342,X4343),k11_group_4(X4341),k11_group_4(X4342)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_group_6(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v2_funct_1(esk3_0)
& ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_16,plain,
! [X88,X89,X90] :
( v3_struct_0(X88)
| ~ v3_group_1(X88)
| ~ v4_group_1(X88)
| ~ l1_group_1(X88)
| v3_struct_0(X89)
| ~ v3_group_1(X89)
| ~ v4_group_1(X89)
| ~ l1_group_1(X89)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X88),u1_struct_0(X89))
| ~ v1_group_6(X90,X88,X89)
| ~ m2_relset_1(X90,u1_struct_0(X88),u1_struct_0(X89))
| m4_vectsp_8(k3_latsubgr(X88,X89,X90),k11_group_4(X88),k11_group_4(X89)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_17,plain,
( m1_lattice4(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
v1_group_6(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
v4_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,negated_conjecture,
v3_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
l1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,negated_conjecture,
v2_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_36,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_group_4]) ).
cnf(c_0_37,plain,
( m1_lattice4(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_38,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_21,c_0_22]),c_0_23]),c_0_24]),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]) ).
cnf(c_0_39,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_35,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_40,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_15]) ).
fof(c_0_41,plain,
! [X45] :
( ( ~ v3_struct_0(k11_group_4(X45))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45) )
& ( v3_lattices(k11_group_4(X45))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45) )
& ( v10_lattices(k11_group_4(X45))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45) )
& ( l3_lattices(k11_group_4(X45))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_42,negated_conjecture,
( v3_struct_0(k11_group_4(esk1_0))
| v3_struct_0(k11_group_4(esk2_0))
| ~ v10_lattices(k11_group_4(esk2_0))
| ~ v10_lattices(k11_group_4(esk1_0))
| ~ l3_lattices(k11_group_4(esk2_0))
| ~ l3_lattices(k11_group_4(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_43,plain,
( l3_lattices(k11_group_4(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_44,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v15_lattices(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_group_4]) ).
cnf(c_0_45,negated_conjecture,
( v3_struct_0(k11_group_4(esk2_0))
| v3_struct_0(k11_group_4(esk1_0))
| ~ v10_lattices(k11_group_4(esk2_0))
| ~ v10_lattices(k11_group_4(esk1_0))
| ~ l3_lattices(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_42,c_0_43]),c_0_24]),c_0_26]),c_0_28])]),c_0_33]) ).
fof(c_0_46,plain,
! [X41] :
( ( ~ v3_struct_0(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v3_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v4_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v5_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v6_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v7_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v8_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v9_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v10_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v13_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v14_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( v15_lattices(k11_group_4(X41))
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_47,negated_conjecture,
( v3_struct_0(k11_group_4(esk1_0))
| v3_struct_0(k11_group_4(esk2_0))
| ~ v10_lattices(k11_group_4(esk2_0))
| ~ v10_lattices(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_45,c_0_43]),c_0_25]),c_0_27]),c_0_29])]),c_0_34]) ).
cnf(c_0_48,plain,
( v10_lattices(k11_group_4(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( v3_struct_0(k11_group_4(esk2_0))
| v3_struct_0(k11_group_4(esk1_0))
| ~ v10_lattices(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_47,c_0_48]),c_0_24]),c_0_26]),c_0_28])]),c_0_33]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( 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(spm,[status(thm)],[c_0_49,c_0_48]),c_0_25]),c_0_27]),c_0_29])]),c_0_34]) ).
cnf(c_0_52,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_50,c_0_51]),c_0_24]),c_0_26]),c_0_28])]),c_0_33]) ).
cnf(c_0_53,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_50,c_0_52]),c_0_25]),c_0_27]),c_0_29])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.99/1.00 % Problem : GRP653+3 : TPTP v8.1.2. Released v3.4.0.
% 0.99/1.01 % Command : run_E %s %d THM
% 1.05/1.22 % Computer : n028.cluster.edu
% 1.05/1.22 % Model : x86_64 x86_64
% 1.05/1.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.05/1.22 % Memory : 8042.1875MB
% 1.05/1.22 % OS : Linux 3.10.0-693.el7.x86_64
% 1.05/1.22 % CPULimit : 2400
% 1.05/1.22 % WCLimit : 300
% 1.05/1.22 % DateTime : Tue Oct 3 03:11:54 EDT 2023
% 1.05/1.23 % CPUTime :
% 3.64/3.85 Running first-order theorem proving
% 3.64/3.85 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/tmp/tmp.yBc9TvW6y6/E---3.1_4535.p
% 109.45/17.94 # Version: 3.1pre001
% 109.45/17.94 # Preprocessing class: FMLLSMLLSSSNFFN.
% 109.45/17.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.45/17.94 # Starting new_bool_3 with 900s (3) cores
% 109.45/17.94 # Starting new_bool_1 with 900s (3) cores
% 109.45/17.94 # Starting sh5l with 300s (1) cores
% 109.45/17.94 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 109.45/17.94 # new_bool_3 with pid 4613 completed with status 0
% 109.45/17.94 # Result found by new_bool_3
% 109.45/17.94 # Preprocessing class: FMLLSMLLSSSNFFN.
% 109.45/17.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.45/17.94 # Starting new_bool_3 with 900s (3) cores
% 109.45/17.94 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 109.45/17.94 # Search class: FGHSM-SMLM32-MFFFFFNN
% 109.45/17.94 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 109.45/17.94 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 109.45/17.94 # Starting new_bool_3 with 91s (1) cores
% 109.45/17.94 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 109.45/17.94 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 4621 completed with status 0
% 109.45/17.94 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 109.45/17.94 # Preprocessing class: FMLLSMLLSSSNFFN.
% 109.45/17.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.45/17.94 # Starting new_bool_3 with 900s (3) cores
% 109.45/17.94 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 109.45/17.94 # Search class: FGHSM-SMLM32-MFFFFFNN
% 109.45/17.94 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 109.45/17.94 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 109.45/17.94 # Preprocessing time : 0.055 s
% 109.45/17.94 # Presaturation interreduction done
% 109.45/17.94
% 109.45/17.94 # Proof found!
% 109.45/17.94 # SZS status Theorem
% 109.45/17.94 # SZS output start CNFRefutation
% See solution above
% 109.45/17.94 # Parsed axioms : 14004
% 109.45/17.94 # Removed by relevancy pruning/SinE : 12299
% 109.45/17.94 # Initial clauses : 3750
% 109.45/17.94 # Removed in clause preprocessing : 150
% 109.45/17.94 # Initial clauses in saturation : 3600
% 109.45/17.94 # Processed clauses : 30958
% 109.45/17.94 # ...of these trivial : 623
% 109.45/17.94 # ...subsumed : 14165
% 109.45/17.94 # ...remaining for further processing : 16170
% 109.45/17.94 # Other redundant clauses eliminated : 739
% 109.45/17.94 # Clauses deleted for lack of memory : 0
% 109.45/17.94 # Backward-subsumed : 86
% 109.45/17.94 # Backward-rewritten : 251
% 109.45/17.94 # Generated clauses : 218180
% 109.45/17.94 # ...of the previous two non-redundant : 204371
% 109.45/17.94 # ...aggressively subsumed : 0
% 109.45/17.94 # Contextual simplify-reflections : 577
% 109.45/17.94 # Paramodulations : 217396
% 109.45/17.94 # Factorizations : 15
% 109.45/17.94 # NegExts : 0
% 109.45/17.94 # Equation resolutions : 806
% 109.45/17.94 # Total rewrite steps : 97145
% 109.45/17.94 # Propositional unsat checks : 3
% 109.45/17.94 # Propositional check models : 1
% 109.45/17.94 # Propositional check unsatisfiable : 0
% 109.45/17.94 # Propositional clauses : 0
% 109.45/17.94 # Propositional clauses after purity: 0
% 109.45/17.94 # Propositional unsat core size : 0
% 109.45/17.94 # Propositional preprocessing time : 0.000
% 109.45/17.94 # Propositional encoding time : 0.420
% 109.45/17.94 # Propositional solver time : 0.304
% 109.45/17.94 # Success case prop preproc time : 0.000
% 109.45/17.94 # Success case prop encoding time : 0.000
% 109.45/17.94 # Success case prop solver time : 0.000
% 109.45/17.94 # Current number of processed clauses : 12226
% 109.45/17.94 # Positive orientable unit clauses : 3419
% 109.45/17.94 # Positive unorientable unit clauses: 3
% 109.45/17.94 # Negative unit clauses : 2364
% 109.45/17.94 # Non-unit-clauses : 6440
% 109.45/17.94 # Current number of unprocessed clauses: 180125
% 109.45/17.94 # ...number of literals in the above : 526734
% 109.45/17.94 # Current number of archived formulas : 0
% 109.45/17.94 # Current number of archived clauses : 3643
% 109.45/17.94 # Clause-clause subsumption calls (NU) : 15395072
% 109.45/17.94 # Rec. Clause-clause subsumption calls : 2366209
% 109.45/17.94 # Non-unit clause-clause subsumptions : 2251
% 109.45/17.94 # Unit Clause-clause subsumption calls : 4186677
% 109.45/17.94 # Rewrite failures with RHS unbound : 16
% 109.45/17.94 # BW rewrite match attempts : 22093
% 109.45/17.94 # BW rewrite match successes : 283
% 109.45/17.94 # Condensation attempts : 0
% 109.45/17.94 # Condensation successes : 0
% 109.45/17.94 # Termbank termtop insertions : 5037389
% 109.45/17.94
% 109.45/17.94 # -------------------------------------------------
% 109.45/17.94 # User time : 12.768 s
% 109.45/17.94 # System time : 0.280 s
% 109.45/17.94 # Total time : 13.048 s
% 109.45/17.94 # Maximum resident set size: 31564 pages
% 109.45/17.94
% 109.45/17.94 # -------------------------------------------------
% 109.45/17.94 # User time : 38.820 s
% 109.45/17.94 # System time : 0.562 s
% 109.45/17.94 # Total time : 39.382 s
% 109.45/17.94 # Maximum resident set size: 20668 pages
% 109.45/17.94 % E---3.1 exiting
% 109.45/17.94 % E---3.1 exiting
%------------------------------------------------------------------------------