TSTP Solution File: GRP639+4 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP639+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:53:34 EDT 2024
% Result : Theorem 200.65s 39.39s
% Output : CNFRefutation 200.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 264 ( 12 equ)
% Maximal formula atoms : 61 ( 5 avg)
% Number of connectives : 339 ( 126 ~; 122 |; 60 &)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 103 ( 5 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_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))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',t12_latsubgr) ).
fof(redefinition_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',redefinition_k2_funct_2) ).
fof(t158_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ! [X4] :
( v1_relat_1(X4)
=> ( ( r1_tarski(X3,X4)
& r1_tarski(X1,X2) )
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X4,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',t158_relat_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',t3_relat_1) ).
fof(d5_group_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',d5_group_4) ).
fof(dt_k5_group_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',dt_k5_group_4) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',reflexivity_r1_tarski) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',dt_m2_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.j9f4EJLFCq/E---3.1_6943.p',redefinition_m2_relset_1) ).
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))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_latsubgr])]) ).
fof(c_0_11,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))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_12,plain,
! [X182,X183,X184,X185] :
( ~ v1_funct_1(X184)
| ~ v1_funct_2(X184,X182,X183)
| ~ m1_relset_1(X184,X182,X183)
| k2_funct_2(X182,X183,X184,X185) = k9_relat_1(X184,X185) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])])]) ).
cnf(c_0_13,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X871,X872,X873,X874] :
( ~ v1_relat_1(X873)
| ~ v1_relat_1(X874)
| ~ r1_tarski(X873,X874)
| ~ r1_tarski(X871,X872)
| r1_tarski(k9_relat_1(X873,X871),k9_relat_1(X874,X872)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_relat_1])])])]) ).
fof(c_0_18,plain,
! [X110,X111] :
( ~ v1_relat_1(X111)
| ~ r1_tarski(X110,X111)
| v1_relat_1(X110) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_4]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_group_4]) ).
cnf(c_0_21,negated_conjecture,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_22,plain,
( r1_tarski(k9_relat_1(X1,X3),k9_relat_1(X2,X4))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X62] : r1_tarski(X62,X62),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_25,plain,
! [X253,X254,X255,X256] :
( ( r1_tarski(X254,u1_struct_0(X255))
| X255 != k5_group_4(X253,X254)
| ~ v1_group_1(X255)
| ~ m1_group_2(X255,X253)
| ~ m1_subset_1(X254,k1_zfmisc_1(u1_struct_0(X253)))
| v3_struct_0(X253)
| ~ v3_group_1(X253)
| ~ v4_group_1(X253)
| ~ l1_group_1(X253) )
& ( ~ v1_group_1(X256)
| ~ m1_group_2(X256,X253)
| ~ r1_tarski(X254,u1_struct_0(X256))
| m1_group_2(X255,X256)
| X255 != k5_group_4(X253,X254)
| ~ v1_group_1(X255)
| ~ m1_group_2(X255,X253)
| ~ m1_subset_1(X254,k1_zfmisc_1(u1_struct_0(X253)))
| v3_struct_0(X253)
| ~ v3_group_1(X253)
| ~ v4_group_1(X253)
| ~ l1_group_1(X253) )
& ( v1_group_1(esk14_3(X253,X254,X255))
| ~ r1_tarski(X254,u1_struct_0(X255))
| X255 = k5_group_4(X253,X254)
| ~ v1_group_1(X255)
| ~ m1_group_2(X255,X253)
| ~ m1_subset_1(X254,k1_zfmisc_1(u1_struct_0(X253)))
| v3_struct_0(X253)
| ~ v3_group_1(X253)
| ~ v4_group_1(X253)
| ~ l1_group_1(X253) )
& ( m1_group_2(esk14_3(X253,X254,X255),X253)
| ~ r1_tarski(X254,u1_struct_0(X255))
| X255 = k5_group_4(X253,X254)
| ~ v1_group_1(X255)
| ~ m1_group_2(X255,X253)
| ~ m1_subset_1(X254,k1_zfmisc_1(u1_struct_0(X253)))
| v3_struct_0(X253)
| ~ v3_group_1(X253)
| ~ v4_group_1(X253)
| ~ l1_group_1(X253) )
& ( r1_tarski(X254,u1_struct_0(esk14_3(X253,X254,X255)))
| ~ r1_tarski(X254,u1_struct_0(X255))
| X255 = k5_group_4(X253,X254)
| ~ v1_group_1(X255)
| ~ m1_group_2(X255,X253)
| ~ m1_subset_1(X254,k1_zfmisc_1(u1_struct_0(X253)))
| v3_struct_0(X253)
| ~ v3_group_1(X253)
| ~ v4_group_1(X253)
| ~ l1_group_1(X253) )
& ( ~ m1_group_2(X255,esk14_3(X253,X254,X255))
| ~ r1_tarski(X254,u1_struct_0(X255))
| X255 = k5_group_4(X253,X254)
| ~ v1_group_1(X255)
| ~ m1_group_2(X255,X253)
| ~ m1_subset_1(X254,k1_zfmisc_1(u1_struct_0(X253)))
| v3_struct_0(X253)
| ~ v3_group_1(X253)
| ~ v4_group_1(X253)
| ~ l1_group_1(X253) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])]) ).
fof(c_0_26,plain,
! [X275,X276] :
( ( v1_group_1(k5_group_4(X275,X276))
| v3_struct_0(X275)
| ~ v3_group_1(X275)
| ~ v4_group_1(X275)
| ~ l1_group_1(X275)
| ~ m1_subset_1(X276,k1_zfmisc_1(u1_struct_0(X275))) )
& ( m1_group_2(k5_group_4(X275,X276),X275)
| v3_struct_0(X275)
| ~ v3_group_1(X275)
| ~ v4_group_1(X275)
| ~ l1_group_1(X275)
| ~ m1_subset_1(X276,k1_zfmisc_1(u1_struct_0(X275))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_27,negated_conjecture,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k9_relat_1(esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_28,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X3,X4))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3) ),
inference(csr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( r1_tarski(X1,u1_struct_0(X2))
| v3_struct_0(X3)
| X2 != k5_group_4(X3,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( v1_group_1(k5_group_4(X1,X2))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( m1_group_2(k5_group_4(X1,X2),X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X477,X478,X479] :
( ~ m1_subset_1(X479,k1_zfmisc_1(k2_zfmisc_1(X477,X478)))
| v1_relat_1(X479) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_34,plain,
! [X480,X481,X482] :
( ~ m2_relset_1(X482,X480,X481)
| m1_subset_1(X482,k1_zfmisc_1(k2_zfmisc_1(X480,X481))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_relat_1(esk3_0)
| ~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(k5_group_4(X1,X2)))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_37,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_42,plain,
! [X793,X794,X795] :
( ( ~ m2_relset_1(X795,X793,X794)
| m1_relset_1(X795,X793,X794) )
& ( ~ m1_relset_1(X795,X793,X794)
| m2_relset_1(X795,X793,X794) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_43,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_relat_1(esk3_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_35,c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_46,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
~ v1_relat_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.47/2.50 % Problem : GRP639+4 : TPTP v8.1.2. Released v3.4.0.
% 2.47/2.52 % Command : run_E %s %d THM
% 2.52/2.73 % Computer : n027.cluster.edu
% 2.52/2.73 % Model : x86_64 x86_64
% 2.52/2.73 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.52/2.73 % Memory : 8042.1875MB
% 2.52/2.73 % OS : Linux 3.10.0-693.el7.x86_64
% 2.52/2.73 % CPULimit : 300
% 2.52/2.73 % WCLimit : 300
% 2.52/2.73 % DateTime : Fri May 3 15:52:29 EDT 2024
% 2.52/2.73 % CPUTime :
% 14.39/14.64 Running first-order theorem proving
% 14.39/14.64 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.j9f4EJLFCq/E---3.1_6943.p
% 200.65/39.39 # Version: 3.1.0
% 200.65/39.39 # Preprocessing class: FMLLMLLLSSSNFFN.
% 200.65/39.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.65/39.39 # Starting new_bool_3 with 900s (3) cores
% 200.65/39.39 # Starting new_bool_1 with 900s (3) cores
% 200.65/39.39 # Starting sh5l with 300s (1) cores
% 200.65/39.39 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 200.65/39.39 # new_bool_3 with pid 7021 completed with status 0
% 200.65/39.39 # Result found by new_bool_3
% 200.65/39.39 # Preprocessing class: FMLLMLLLSSSNFFN.
% 200.65/39.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.65/39.39 # Starting new_bool_3 with 900s (3) cores
% 200.65/39.39 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 200.65/39.39 # Search class: FGHSM-SMLM32-DFFFFFNN
% 200.65/39.39 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 200.65/39.39 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 200.65/39.39 # Starting new_bool_3 with 91s (1) cores
% 200.65/39.39 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 200.65/39.39 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 7026 completed with status 0
% 200.65/39.39 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 200.65/39.39 # Preprocessing class: FMLLMLLLSSSNFFN.
% 200.65/39.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.65/39.39 # Starting new_bool_3 with 900s (3) cores
% 200.65/39.39 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 200.65/39.39 # Search class: FGHSM-SMLM32-DFFFFFNN
% 200.65/39.39 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 200.65/39.39 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 200.65/39.39 # Preprocessing time : 0.177 s
% 200.65/39.39 # Presaturation interreduction done
% 200.65/39.39
% 200.65/39.39 # Proof found!
% 200.65/39.39 # SZS status Theorem
% 200.65/39.39 # SZS output start CNFRefutation
% See solution above
% 200.65/39.39 # Parsed axioms : 36501
% 200.65/39.39 # Removed by relevancy pruning/SinE : 33297
% 200.65/39.39 # Initial clauses : 6235
% 200.65/39.39 # Removed in clause preprocessing : 146
% 200.65/39.39 # Initial clauses in saturation : 6089
% 200.65/39.39 # Processed clauses : 42202
% 200.65/39.39 # ...of these trivial : 552
% 200.65/39.39 # ...subsumed : 22409
% 200.65/39.39 # ...remaining for further processing : 19241
% 200.65/39.39 # Other redundant clauses eliminated : 2734
% 200.65/39.39 # Clauses deleted for lack of memory : 0
% 200.65/39.39 # Backward-subsumed : 468
% 200.65/39.39 # Backward-rewritten : 302
% 200.65/39.39 # Generated clauses : 428363
% 200.65/39.39 # ...of the previous two non-redundant : 400878
% 200.65/39.39 # ...aggressively subsumed : 0
% 200.65/39.39 # Contextual simplify-reflections : 511
% 200.65/39.39 # Paramodulations : 425521
% 200.65/39.39 # Factorizations : 29
% 200.65/39.39 # NegExts : 0
% 200.65/39.39 # Equation resolutions : 2838
% 200.65/39.39 # Disequality decompositions : 0
% 200.65/39.39 # Total rewrite steps : 102224
% 200.65/39.39 # ...of those cached : 95733
% 200.65/39.39 # Propositional unsat checks : 4
% 200.65/39.39 # Propositional check models : 2
% 200.65/39.39 # Propositional check unsatisfiable : 0
% 200.65/39.39 # Propositional clauses : 0
% 200.65/39.39 # Propositional clauses after purity: 0
% 200.65/39.39 # Propositional unsat core size : 0
% 200.65/39.39 # Propositional preprocessing time : 0.000
% 200.65/39.39 # Propositional encoding time : 0.884
% 200.65/39.39 # Propositional solver time : 0.559
% 200.65/39.39 # Success case prop preproc time : 0.000
% 200.65/39.39 # Success case prop encoding time : 0.000
% 200.65/39.39 # Success case prop solver time : 0.000
% 200.65/39.39 # Current number of processed clauses : 12465
% 200.65/39.39 # Positive orientable unit clauses : 1553
% 200.65/39.39 # Positive unorientable unit clauses: 8
% 200.65/39.39 # Negative unit clauses : 2217
% 200.65/39.39 # Non-unit-clauses : 8687
% 200.65/39.39 # Current number of unprocessed clauses: 369345
% 200.65/39.39 # ...number of literals in the above : 2199185
% 200.65/39.39 # Current number of archived formulas : 0
% 200.65/39.39 # Current number of archived clauses : 6329
% 200.65/39.39 # Clause-clause subsumption calls (NU) : 28880527
% 200.65/39.39 # Rec. Clause-clause subsumption calls : 3094853
% 200.65/39.39 # Non-unit clause-clause subsumptions : 5654
% 200.65/39.39 # Unit Clause-clause subsumption calls : 2447695
% 200.65/39.39 # Rewrite failures with RHS unbound : 0
% 200.65/39.39 # BW rewrite match attempts : 793
% 200.65/39.39 # BW rewrite match successes : 272
% 200.65/39.39 # Condensation attempts : 0
% 200.65/39.39 # Condensation successes : 0
% 200.65/39.39 # Termbank termtop insertions : 14133933
% 200.65/39.39 # Search garbage collected termcells : 464527
% 200.65/39.39
% 200.65/39.39 # -------------------------------------------------
% 200.65/39.39 # User time : 23.091 s
% 200.65/39.39 # System time : 0.473 s
% 200.65/39.39 # Total time : 23.564 s
% 200.65/39.39 # Maximum resident set size: 78576 pages
% 200.65/39.39
% 200.65/39.39 # -------------------------------------------------
% 200.65/39.39 # User time : 69.058 s
% 200.65/39.39 # System time : 0.942 s
% 200.65/39.39 # Total time : 70.001 s
% 200.65/39.39 # Maximum resident set size: 57080 pages
% 200.65/39.39 % E---3.1 exiting
% 200.65/39.39 % E exiting
%------------------------------------------------------------------------------