TSTP Solution File: GRP653+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP653+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 17:49:53 EDT 2023
% Result : Theorem 1188.28s 157.05s
% Output : CNFRefutation 1188.28s
% 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.SKjPmG36gh/E---3.1_4703.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.SKjPmG36gh/E---3.1_4703.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.SKjPmG36gh/E---3.1_4703.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.SKjPmG36gh/E---3.1_4703.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.SKjPmG36gh/E---3.1_4703.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.SKjPmG36gh/E---3.1_4703.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.SKjPmG36gh/E---3.1_4703.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,
! [X1245,X1246,X1247] :
( ( m4_vectsp_8(X1247,X1245,X1246)
| ~ m1_lattice4(X1247,X1245,X1246)
| ~ v1_funct_1(X1247)
| ~ v1_funct_2(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ m2_relset_1(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| v3_struct_0(X1246)
| ~ v10_lattices(X1246)
| ~ l3_lattices(X1246)
| v3_struct_0(X1245)
| ~ v10_lattices(X1245)
| ~ l3_lattices(X1245) )
& ( m3_vectsp_8(X1247,X1245,X1246)
| ~ m1_lattice4(X1247,X1245,X1246)
| ~ v1_funct_1(X1247)
| ~ v1_funct_2(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ m2_relset_1(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| v3_struct_0(X1246)
| ~ v10_lattices(X1246)
| ~ l3_lattices(X1246)
| v3_struct_0(X1245)
| ~ v10_lattices(X1245)
| ~ l3_lattices(X1245) )
& ( ~ m4_vectsp_8(X1247,X1245,X1246)
| ~ m3_vectsp_8(X1247,X1245,X1246)
| m1_lattice4(X1247,X1245,X1246)
| ~ v1_funct_1(X1247)
| ~ v1_funct_2(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| ~ m2_relset_1(X1247,u1_struct_0(X1245),u1_struct_0(X1246))
| v3_struct_0(X1246)
| ~ v10_lattices(X1246)
| ~ l3_lattices(X1246)
| v3_struct_0(X1245)
| ~ v10_lattices(X1245)
| ~ l3_lattices(X1245) ) ),
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,
! [X6434,X6435,X6436] :
( ( v1_funct_1(X6436)
| ~ m3_vectsp_8(X6436,X6434,X6435)
| v3_struct_0(X6434)
| ~ v10_lattices(X6434)
| ~ l3_lattices(X6434)
| v3_struct_0(X6435)
| ~ v10_lattices(X6435)
| ~ l3_lattices(X6435) )
& ( v1_funct_2(X6436,u1_struct_0(X6434),u1_struct_0(X6435))
| ~ m3_vectsp_8(X6436,X6434,X6435)
| v3_struct_0(X6434)
| ~ v10_lattices(X6434)
| ~ l3_lattices(X6434)
| v3_struct_0(X6435)
| ~ v10_lattices(X6435)
| ~ l3_lattices(X6435) )
& ( m2_relset_1(X6436,u1_struct_0(X6434),u1_struct_0(X6435))
| ~ m3_vectsp_8(X6436,X6434,X6435)
| v3_struct_0(X6434)
| ~ v10_lattices(X6434)
| ~ l3_lattices(X6434)
| v3_struct_0(X6435)
| ~ v10_lattices(X6435)
| ~ l3_lattices(X6435) ) ),
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,
! [X6440,X6441,X6442] :
( v3_struct_0(X6440)
| ~ v3_group_1(X6440)
| ~ v4_group_1(X6440)
| ~ l1_group_1(X6440)
| v3_struct_0(X6441)
| ~ v3_group_1(X6441)
| ~ v4_group_1(X6441)
| ~ l1_group_1(X6441)
| ~ v1_funct_1(X6442)
| ~ v1_funct_2(X6442,u1_struct_0(X6440),u1_struct_0(X6441))
| ~ v1_group_6(X6442,X6440,X6441)
| ~ m2_relset_1(X6442,u1_struct_0(X6440),u1_struct_0(X6441))
| ~ v2_funct_1(X6442)
| m3_vectsp_8(k3_latsubgr(X6440,X6441,X6442),k11_group_4(X6440),k11_group_4(X6441)) ),
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,
! [X125,X126,X127] :
( v3_struct_0(X125)
| ~ v3_group_1(X125)
| ~ v4_group_1(X125)
| ~ l1_group_1(X125)
| v3_struct_0(X126)
| ~ v3_group_1(X126)
| ~ v4_group_1(X126)
| ~ l1_group_1(X126)
| ~ v1_funct_1(X127)
| ~ v1_funct_2(X127,u1_struct_0(X125),u1_struct_0(X126))
| ~ v1_group_6(X127,X125,X126)
| ~ m2_relset_1(X127,u1_struct_0(X125),u1_struct_0(X126))
| m4_vectsp_8(k3_latsubgr(X125,X126,X127),k11_group_4(X125),k11_group_4(X126)) ),
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(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk2_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,
! [X82] :
( ( ~ v3_struct_0(k11_group_4(X82))
| v3_struct_0(X82)
| ~ v3_group_1(X82)
| ~ v4_group_1(X82)
| ~ l1_group_1(X82) )
& ( v3_lattices(k11_group_4(X82))
| v3_struct_0(X82)
| ~ v3_group_1(X82)
| ~ v4_group_1(X82)
| ~ l1_group_1(X82) )
& ( v10_lattices(k11_group_4(X82))
| v3_struct_0(X82)
| ~ v3_group_1(X82)
| ~ v4_group_1(X82)
| ~ l1_group_1(X82) )
& ( l3_lattices(k11_group_4(X82))
| v3_struct_0(X82)
| ~ v3_group_1(X82)
| ~ v4_group_1(X82)
| ~ l1_group_1(X82) ) ),
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(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(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(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(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_34]) ).
fof(c_0_46,plain,
! [X78] :
( ( ~ v3_struct_0(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v3_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v4_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v5_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v6_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v7_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v8_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v9_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v10_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v13_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v14_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) )
& ( v15_lattices(k11_group_4(X78))
| v3_struct_0(X78)
| ~ v3_group_1(X78)
| ~ v4_group_1(X78)
| ~ l1_group_1(X78) ) ),
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(esk2_0))
| v3_struct_0(k11_group_4(esk1_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_33]) ).
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(esk1_0))
| v3_struct_0(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_47,c_0_48]),c_0_24]),c_0_26]),c_0_28])]),c_0_34]) ).
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(esk2_0))
| 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_49,c_0_48]),c_0_25]),c_0_27]),c_0_29])]),c_0_33]) ).
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_34]) ).
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_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP653+4 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 02:32:44 EDT 2023
% 0.11/0.32 % CPUTime :
% 4.75/4.92 Running first-order model finding
% 4.75/4.92 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.SKjPmG36gh/E---3.1_4703.p
% 1188.28/157.05 # Version: 3.1pre001
% 1188.28/157.05 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1188.28/157.05 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1188.28/157.05 # Starting new_bool_3 with 897s (3) cores
% 1188.28/157.05 # Starting new_bool_1 with 897s (3) cores
% 1188.28/157.05 # Starting sh5l with 299s (1) cores
% 1188.28/157.05 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 1188.28/157.05 # new_bool_3 with pid 4780 completed with status 0
% 1188.28/157.05 # Result found by new_bool_3
% 1188.28/157.05 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1188.28/157.05 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1188.28/157.05 # Starting new_bool_3 with 897s (3) cores
% 1188.28/157.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1188.28/157.05 # Search class: FGHSM-SMLM32-DFFFFFNN
% 1188.28/157.05 # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 1188.28/157.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 1188.28/157.05 # Starting new_bool_3 with 90s (1) cores
% 1188.28/157.05 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 1188.28/157.05 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 4787 completed with status 7
% 1188.28/157.05 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 68s (1) cores
% 1188.28/157.05 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 4785 completed with status 7
% 1188.28/157.05 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 68s (1) cores
% 1188.28/157.05 # new_bool_3 with pid 4786 completed with status 7
% 1188.28/157.05 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 68s (1) cores
% 1188.28/157.05 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 4797 completed with status 7
% 1188.28/157.05 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 68s (1) cores
% 1188.28/157.05 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 4800 completed with status 7
% 1188.28/157.05 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 68s (1) cores
% 1188.28/157.05 # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 4814 completed with status 0
% 1188.28/157.05 # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 1188.28/157.05 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1188.28/157.05 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1188.28/157.05 # Starting new_bool_3 with 897s (3) cores
% 1188.28/157.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1188.28/157.05 # Search class: FGHSM-SMLM32-DFFFFFNN
% 1188.28/157.05 # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 1188.28/157.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 1188.28/157.05 # Starting new_bool_3 with 90s (1) cores
% 1188.28/157.05 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 1188.28/157.05 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 4787 completed with status 7
% 1188.28/157.05 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 68s (1) cores
% 1188.28/157.05 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 4785 completed with status 7
% 1188.28/157.05 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 68s (1) cores
% 1188.28/157.05 # new_bool_3 with pid 4786 completed with status 7
% 1188.28/157.05 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 68s (1) cores
% 1188.28/157.05 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 4797 completed with status 7
% 1188.28/157.05 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 68s (1) cores
% 1188.28/157.05 # Preprocessing time : 0.144 s
% 1188.28/157.05
% 1188.28/157.05 # Proof found!
% 1188.28/157.05 # SZS status Theorem
% 1188.28/157.05 # SZS output start CNFRefutation
% See solution above
% 1188.28/157.05 # Parsed axioms : 36530
% 1188.28/157.05 # Removed by relevancy pruning/SinE : 33532
% 1188.28/157.05 # Initial clauses : 6478
% 1188.28/157.05 # Removed in clause preprocessing : 204
% 1188.28/157.05 # Initial clauses in saturation : 6274
% 1188.28/157.05 # Processed clauses : 10411
% 1188.28/157.05 # ...of these trivial : 244
% 1188.28/157.05 # ...subsumed : 2358
% 1188.28/157.05 # ...remaining for further processing : 7809
% 1188.28/157.05 # Other redundant clauses eliminated : 4558
% 1188.28/157.05 # Clauses deleted for lack of memory : 0
% 1188.28/157.05 # Backward-subsumed : 50
% 1188.28/157.05 # Backward-rewritten : 204
% 1188.28/157.05 # Generated clauses : 212026
% 1188.28/157.05 # ...of the previous two non-redundant : 197269
% 1188.28/157.05 # ...aggressively subsumed : 0
% 1188.28/157.05 # Contextual simplify-reflections : 425
% 1188.28/157.05 # Paramodulations : 207260
% 1188.28/157.05 # Factorizations : 44
% 1188.28/157.05 # NegExts : 0
% 1188.28/157.05 # Equation resolutions : 4776
% 1188.28/157.05 # Total rewrite steps : 65665
% 1188.28/157.05 # Propositional unsat checks : 0
% 1188.28/157.05 # Propositional check models : 0
% 1188.28/157.05 # Propositional check unsatisfiable : 0
% 1188.28/157.05 # Propositional clauses : 0
% 1188.28/157.05 # Propositional clauses after purity: 0
% 1188.28/157.05 # Propositional unsat core size : 0
% 1188.28/157.05 # Propositional preprocessing time : 0.000
% 1188.28/157.05 # Propositional encoding time : 0.000
% 1188.28/157.05 # Propositional solver time : 0.000
% 1188.28/157.05 # Success case prop preproc time : 0.000
% 1188.28/157.05 # Success case prop encoding time : 0.000
% 1188.28/157.05 # Success case prop solver time : 0.000
% 1188.28/157.05 # Current number of processed clauses : 7093
% 1188.28/157.05 # Positive orientable unit clauses : 871
% 1188.28/157.05 # Positive unorientable unit clauses: 5
% 1188.28/157.05 # Negative unit clauses : 471
% 1188.28/157.05 # Non-unit-clauses : 5746
% 1188.28/157.05 # Current number of unprocessed clauses: 192780
% 1188.28/157.05 # ...number of literals in the above : 1235231
% 1188.28/157.05 # Current number of archived formulas : 0
% 1188.28/157.05 # Current number of archived clauses : 254
% 1188.28/157.05 # Clause-clause subsumption calls (NU) : 18440783
% 1188.28/157.05 # Rec. Clause-clause subsumption calls : 915341
% 1188.28/157.05 # Non-unit clause-clause subsumptions : 1377
% 1188.28/157.05 # Unit Clause-clause subsumption calls : 982368
% 1188.28/157.05 # Rewrite failures with RHS unbound : 2
% 1188.28/157.05 # BW rewrite match attempts : 326
% 1188.28/157.05 # BW rewrite match successes : 159
% 1188.28/157.05 # Condensation attempts : 0
% 1188.28/157.05 # Condensation successes : 0
% 1188.28/157.05 # Termbank termtop insertions : 6423777
% 1188.28/157.05
% 1188.28/157.05 # -------------------------------------------------
% 1188.28/157.05 # User time : 370.201 s
% 1188.28/157.05 # System time : 4.789 s
% 1188.28/157.05 # Total time : 374.991 s
% 1188.28/157.05 # Maximum resident set size: 77488 pages
% 1188.28/157.05
% 1188.28/157.05 # -------------------------------------------------
% 1188.28/157.05 # User time : 434.551 s
% 1188.28/157.05 # System time : 5.985 s
% 1188.28/157.05 # Total time : 440.536 s
% 1188.28/157.05 # Maximum resident set size: 57052 pages
% 1188.28/157.05 % E---3.1 exiting
%------------------------------------------------------------------------------