TSTP Solution File: GRP648+3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP648+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 17:42:31 EDT 2023
% Result : Theorem 123.31s 20.93s
% Output : CNFRefutation 123.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 23 unt; 0 def)
% Number of atoms : 372 ( 25 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 470 ( 170 ~; 171 |; 74 &)
% ( 7 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t31_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k11_group_4(X1)))
=> ( ( X4 = X2
& X5 = X3 )
=> ( r3_lattices(k11_group_4(X1),X4,X5)
<=> m1_group_6(X2,X1,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',t31_latsubgr) ).
fof(t30_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k11_group_4(X1)))
=> ( ( X4 = X2
& X5 = X3 )
=> ( r3_lattices(k11_group_4(X1),X4,X5)
<=> r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',t30_latsubgr) ).
fof(redefinition_m1_group_6,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',redefinition_m1_group_6) ).
fof(t66_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',t66_group_2) ).
fof(cc1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> v4_group_1(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',cc1_group_2) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',dt_m1_group_2) ).
fof(d9_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k7_group_2(X1,X2) = u1_struct_0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',d9_group_2) ).
fof(dt_k7_group_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> m1_subset_1(k7_group_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',dt_k7_group_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.Om6sQZafJ9/E---3.1_19548.p',t3_subset) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k11_group_4(X1)))
=> ( ( X4 = X2
& X5 = X3 )
=> ( r3_lattices(k11_group_4(X1),X4,X5)
<=> m1_group_6(X2,X1,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t31_latsubgr])]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k11_group_4(X1)))
=> ( ( X4 = X2
& X5 = X3 )
=> ( r3_lattices(k11_group_4(X1),X4,X5)
<=> r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t30_latsubgr]) ).
fof(c_0_11,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_group_6]) ).
fof(c_0_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_group_2(esk2_0,esk1_0)
& m1_group_2(esk3_0,esk1_0)
& m1_subset_1(esk4_0,u1_struct_0(k11_group_4(esk1_0)))
& m1_subset_1(esk5_0,u1_struct_0(k11_group_4(esk1_0)))
& esk4_0 = esk2_0
& esk5_0 = esk3_0
& ( ~ r3_lattices(k11_group_4(esk1_0),esk4_0,esk5_0)
| ~ m1_group_6(esk2_0,esk1_0,esk3_0) )
& ( r3_lattices(k11_group_4(esk1_0),esk4_0,esk5_0)
| m1_group_6(esk2_0,esk1_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t66_group_2]) ).
fof(c_0_14,plain,
! [X108,X109,X110,X111,X112] :
( ( ~ r3_lattices(k11_group_4(X108),X111,X112)
| r1_tarski(u1_struct_0(X109),u1_struct_0(X110))
| X111 != X109
| X112 != X110
| ~ m1_subset_1(X112,u1_struct_0(k11_group_4(X108)))
| ~ m1_subset_1(X111,u1_struct_0(k11_group_4(X108)))
| ~ m1_group_2(X110,X108)
| ~ m1_group_2(X109,X108)
| v3_struct_0(X108)
| ~ v3_group_1(X108)
| ~ v4_group_1(X108)
| ~ l1_group_1(X108) )
& ( ~ r1_tarski(u1_struct_0(X109),u1_struct_0(X110))
| r3_lattices(k11_group_4(X108),X111,X112)
| X111 != X109
| X112 != X110
| ~ m1_subset_1(X112,u1_struct_0(k11_group_4(X108)))
| ~ m1_subset_1(X111,u1_struct_0(k11_group_4(X108)))
| ~ m1_group_2(X110,X108)
| ~ m1_group_2(X109,X108)
| v3_struct_0(X108)
| ~ v3_group_1(X108)
| ~ v4_group_1(X108)
| ~ l1_group_1(X108) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_15,plain,
! [X41,X42,X43] :
( ( ~ m1_group_6(X43,X41,X42)
| m1_group_2(X43,X42)
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41)
| ~ m1_group_2(X42,X41) )
& ( ~ m1_group_2(X43,X42)
| m1_group_6(X43,X41,X42)
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41)
| ~ m1_group_2(X42,X41) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
cnf(c_0_16,negated_conjecture,
( r3_lattices(k11_group_4(esk1_0),esk4_0,esk5_0)
| m1_group_6(esk2_0,esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
esk5_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
esk4_0 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_20,plain,
! [X124,X125,X126] :
( v3_struct_0(X124)
| ~ v3_group_1(X124)
| ~ v4_group_1(X124)
| ~ l1_group_1(X124)
| ~ m1_group_2(X125,X124)
| ~ m1_group_2(X126,X124)
| ~ r1_tarski(u1_struct_0(X125),u1_struct_0(X126))
| m1_group_2(X125,X126) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_21,plain,
( r1_tarski(u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X1)
| ~ r3_lattices(k11_group_4(X1),X2,X3)
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1)))
| ~ m1_group_2(X5,X1)
| ~ m1_group_2(X4,X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( m1_group_2(X1,X3)
| v3_struct_0(X2)
| ~ m1_group_6(X1,X2,X3)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_group_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( m1_group_6(esk2_0,esk1_0,esk5_0)
| r3_lattices(k11_group_4(esk1_0),esk2_0,esk5_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
m1_group_2(esk5_0,esk1_0),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(k11_group_4(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> v4_group_1(X2) ) ),
inference(fof_simplification,[status(thm)],[cc1_group_2]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_32,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k7_group_2(X1,X2) = u1_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[d9_group_2]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ r3_lattices(k11_group_4(X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1))) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]) ).
cnf(c_0_35,negated_conjecture,
( m1_group_2(esk2_0,esk5_0)
| r3_lattices(k11_group_4(esk1_0),esk2_0,esk5_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_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_36,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(k11_group_4(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k11_group_4(esk1_0))),
inference(rw,[status(thm)],[c_0_29,c_0_18]) ).
fof(c_0_39,plain,
! [X115,X116] :
( v3_struct_0(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115)
| ~ m1_group_2(X116,X115)
| v4_group_1(X116) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_40,plain,
! [X127,X128] :
( ( ~ v3_struct_0(X128)
| ~ m1_group_2(X128,X127)
| v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ l1_group_1(X127) )
& ( v3_group_1(X128)
| ~ m1_group_2(X128,X127)
| v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ l1_group_1(X127) )
& ( l1_group_1(X128)
| ~ m1_group_2(X128,X127)
| v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ l1_group_1(X127) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
fof(c_0_41,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> m1_subset_1(k7_group_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k7_group_2]) ).
fof(c_0_42,plain,
! [X1015,X1016] :
( v3_struct_0(X1015)
| ~ v3_group_1(X1015)
| ~ v4_group_1(X1015)
| ~ l1_group_1(X1015)
| ~ m1_group_2(X1016,X1015)
| k7_group_2(X1015,X1016) = u1_struct_0(X1016) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_43,negated_conjecture,
( m1_group_2(X1,esk5_0)
| ~ m1_group_2(X1,esk1_0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(esk5_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_33,c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_44,negated_conjecture,
( m1_group_2(esk2_0,esk5_0)
| r1_tarski(u1_struct_0(esk2_0),u1_struct_0(esk5_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_24]),c_0_36]),c_0_25]),c_0_26]),c_0_27]),c_0_37]),c_0_38])]),c_0_28]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( m1_group_6(X1,X3,X2)
| v3_struct_0(X3)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_group_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_50,plain,
! [X1040,X1041] :
( v3_struct_0(X1040)
| ~ v3_group_1(X1040)
| ~ v4_group_1(X1040)
| ~ l1_group_1(X1040)
| ~ m1_group_2(X1041,X1040)
| m1_subset_1(k7_group_2(X1040,X1041),k1_zfmisc_1(u1_struct_0(X1040))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| k7_group_2(X1,X2) = u1_struct_0(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
m1_group_2(esk2_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_44]) ).
cnf(c_0_53,negated_conjecture,
v4_group_1(esk5_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_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_54,negated_conjecture,
v3_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_55,negated_conjecture,
l1_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_24]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_56,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_24]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_57,plain,
( r3_lattices(k11_group_4(X3),X4,X5)
| v3_struct_0(X3)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| X4 != X1
| X5 != X2
| ~ m1_subset_1(X5,u1_struct_0(k11_group_4(X3)))
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X3)))
| ~ m1_group_2(X2,X3)
| ~ m1_group_2(X1,X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_58,negated_conjecture,
( ~ r3_lattices(k11_group_4(esk1_0),esk4_0,esk5_0)
| ~ m1_group_6(esk2_0,esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_59,negated_conjecture,
( m1_group_6(X1,esk1_0,esk5_0)
| ~ m1_group_2(X1,esk5_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_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
fof(c_0_60,plain,
! [X683,X684] :
( ( ~ m1_subset_1(X683,k1_zfmisc_1(X684))
| r1_tarski(X683,X684) )
& ( ~ r1_tarski(X683,X684)
| m1_subset_1(X683,k1_zfmisc_1(X684)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_group_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,negated_conjecture,
k7_group_2(esk5_0,esk2_0) = u1_struct_0(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_51,c_0_52]),c_0_53]),c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_63,plain,
( r3_lattices(k11_group_4(X1),X2,X3)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1)))
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])]) ).
cnf(c_0_64,negated_conjecture,
( ~ m1_group_6(esk2_0,esk1_0,esk5_0)
| ~ r3_lattices(k11_group_4(esk1_0),esk2_0,esk5_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_17]),c_0_18]) ).
cnf(c_0_65,negated_conjecture,
m1_group_6(esk2_0,esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_59,c_0_52]) ).
cnf(c_0_66,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk5_0))),
inference(rw,[status(thm)],[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_61,c_0_52]),c_0_53]),c_0_54]),c_0_55])]),c_0_56]),c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( r3_lattices(k11_group_4(esk1_0),X1,esk5_0)
| ~ m1_group_2(X1,esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(esk1_0)))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(esk5_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_63,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_37])]),c_0_28]) ).
cnf(c_0_69,negated_conjecture,
~ r3_lattices(k11_group_4(esk1_0),esk2_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_70,negated_conjecture,
r1_tarski(u1_struct_0(esk2_0),u1_struct_0(esk5_0)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_68,c_0_69,c_0_70,c_0_38,c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.44/1.52 % Problem : GRP648+3 : TPTP v8.1.2. Released v3.4.0.
% 1.52/1.53 % Command : run_E %s %d THM
% 1.56/1.74 % Computer : n005.cluster.edu
% 1.56/1.74 % Model : x86_64 x86_64
% 1.56/1.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.56/1.74 % Memory : 8042.1875MB
% 1.56/1.74 % OS : Linux 3.10.0-693.el7.x86_64
% 1.56/1.74 % CPULimit : 2400
% 1.56/1.74 % WCLimit : 300
% 1.56/1.74 % DateTime : Tue Oct 3 02:34:04 EDT 2023
% 1.56/1.74 % CPUTime :
% 4.94/5.12 Running first-order theorem proving
% 4.94/5.12 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.Om6sQZafJ9/E---3.1_19548.p
% 123.31/20.93 # Version: 3.1pre001
% 123.31/20.93 # Preprocessing class: FMLLSMLLSSSNFFN.
% 123.31/20.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 123.31/20.93 # Starting new_bool_3 with 900s (3) cores
% 123.31/20.93 # Starting new_bool_1 with 900s (3) cores
% 123.31/20.93 # Starting sh5l with 300s (1) cores
% 123.31/20.93 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 123.31/20.93 # new_bool_3 with pid 19626 completed with status 0
% 123.31/20.93 # Result found by new_bool_3
% 123.31/20.93 # Preprocessing class: FMLLSMLLSSSNFFN.
% 123.31/20.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 123.31/20.93 # Starting new_bool_3 with 900s (3) cores
% 123.31/20.93 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 123.31/20.93 # Search class: FGHSM-SMLM32-MFFFFFNN
% 123.31/20.93 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 123.31/20.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 123.31/20.93 # Starting new_bool_3 with 91s (1) cores
% 123.31/20.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 123.31/20.93 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 19634 completed with status 0
% 123.31/20.93 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 123.31/20.93 # Preprocessing class: FMLLSMLLSSSNFFN.
% 123.31/20.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 123.31/20.93 # Starting new_bool_3 with 900s (3) cores
% 123.31/20.93 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 123.31/20.93 # Search class: FGHSM-SMLM32-MFFFFFNN
% 123.31/20.93 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 123.31/20.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 123.31/20.93 # Preprocessing time : 0.057 s
% 123.31/20.93 # Presaturation interreduction done
% 123.31/20.93 # SatCheck found unsatisfiable ground set
% 123.31/20.93
% 123.31/20.93 # Proof found!
% 123.31/20.93 # SZS status Theorem
% 123.31/20.93 # SZS output start CNFRefutation
% See solution above
% 123.31/20.93 # Parsed axioms : 13996
% 123.31/20.93 # Removed by relevancy pruning/SinE : 12670
% 123.31/20.93 # Initial clauses : 2777
% 123.31/20.93 # Removed in clause preprocessing : 135
% 123.31/20.93 # Initial clauses in saturation : 2642
% 123.31/20.93 # Processed clauses : 26092
% 123.31/20.93 # ...of these trivial : 818
% 123.31/20.93 # ...subsumed : 10274
% 123.31/20.93 # ...remaining for further processing : 15000
% 123.31/20.93 # Other redundant clauses eliminated : 687
% 123.31/20.93 # Clauses deleted for lack of memory : 0
% 123.31/20.93 # Backward-subsumed : 355
% 123.31/20.93 # Backward-rewritten : 519
% 123.31/20.93 # Generated clauses : 345729
% 123.31/20.93 # ...of the previous two non-redundant : 334037
% 123.31/20.93 # ...aggressively subsumed : 0
% 123.31/20.93 # Contextual simplify-reflections : 123
% 123.31/20.93 # Paramodulations : 344852
% 123.31/20.93 # Factorizations : 12
% 123.31/20.93 # NegExts : 0
% 123.31/20.93 # Equation resolutions : 771
% 123.31/20.93 # Total rewrite steps : 696425
% 123.31/20.93 # Propositional unsat checks : 3
% 123.31/20.93 # Propositional check models : 1
% 123.31/20.93 # Propositional check unsatisfiable : 1
% 123.31/20.93 # Propositional clauses : 323704
% 123.31/20.93 # Propositional clauses after purity: 13283
% 123.31/20.93 # Propositional unsat core size : 5
% 123.31/20.93 # Propositional preprocessing time : 0.000
% 123.31/20.93 # Propositional encoding time : 0.937
% 123.31/20.93 # Propositional solver time : 0.322
% 123.31/20.93 # Success case prop preproc time : 0.000
% 123.31/20.93 # Success case prop encoding time : 0.746
% 123.31/20.93 # Success case prop solver time : 0.071
% 123.31/20.93 # Current number of processed clauses : 11277
% 123.31/20.93 # Positive orientable unit clauses : 4667
% 123.31/20.93 # Positive unorientable unit clauses: 2
% 123.31/20.93 # Negative unit clauses : 2319
% 123.31/20.93 # Non-unit-clauses : 4289
% 123.31/20.93 # Current number of unprocessed clauses: 312427
% 123.31/20.93 # ...number of literals in the above : 918500
% 123.31/20.93 # Current number of archived formulas : 0
% 123.31/20.93 # Current number of archived clauses : 3470
% 123.31/20.93 # Clause-clause subsumption calls (NU) : 7898815
% 123.31/20.93 # Rec. Clause-clause subsumption calls : 951749
% 123.31/20.93 # Non-unit clause-clause subsumptions : 1020
% 123.31/20.93 # Unit Clause-clause subsumption calls : 2219379
% 123.31/20.93 # Rewrite failures with RHS unbound : 0
% 123.31/20.93 # BW rewrite match attempts : 9196
% 123.31/20.93 # BW rewrite match successes : 484
% 123.31/20.93 # Condensation attempts : 0
% 123.31/20.93 # Condensation successes : 0
% 123.31/20.93 # Termbank termtop insertions : 12736066
% 123.31/20.93
% 123.31/20.93 # -------------------------------------------------
% 123.31/20.93 # User time : 14.306 s
% 123.31/20.93 # System time : 0.470 s
% 123.31/20.93 # Total time : 14.776 s
% 123.31/20.93 # Maximum resident set size: 29872 pages
% 123.31/20.93
% 123.31/20.93 # -------------------------------------------------
% 123.31/20.93 # User time : 43.371 s
% 123.31/20.93 # System time : 0.760 s
% 123.31/20.93 # Total time : 44.131 s
% 123.31/20.93 # Maximum resident set size: 20652 pages
% 123.31/20.93 % E---3.1 exiting
% 123.47/20.93 % E---3.1 exiting
%------------------------------------------------------------------------------