%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP639+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:40:30 PM UTC 2026
% Result : Theorem 0.22s 5.58s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 249 ( 12 equ)
% Maximal formula atoms : 61 ( 5 avg)
% Number of connectives : 314 ( 110 ~; 105 |; 67 &)
% ( 3 <=>; 29 =>; 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 : 87 ( 2 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_latsubgr,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [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/benchmark/theBenchmark.p',t12_latsubgr) ).
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/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
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/benchmark/theBenchmark.p',dt_m2_relset_1) ).
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/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(d5_group_4,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( ! [X4] :
( ( m1_group_2(X4,X1)
& v1_group_1(X4) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) )
& r1_tarski(X2,u1_struct_0(X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_group_4) ).
fof(dt_k5_group_4,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(k5_group_4(X1,X2),X1)
& v1_group_1(k5_group_4(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [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(assume_negation,[status(cth)],[t12_latsubgr]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [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)],[c_0_8]) ).
fof(c_0_10,plain,
! [X43,X44,X45] :
( ( m2_relset_1(X45,X43,X44)
| ~ m1_relset_1(X45,X43,X44) )
& ( m1_relset_1(X45,X43,X44)
| ~ m2_relset_1(X45,X43,X44) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_11,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))))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk3_0)
& l1_group_1(esk2_0)
& v4_group_1(esk2_0)
& v3_group_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l1_group_1(esk1_0)
& v4_group_1(esk1_0)
& v3_group_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,plain,
! [X16,X17,X18,X19] :
( k2_funct_2(X16,X17,X18,X19) = k9_relat_1(X18,X19)
| ~ m1_relset_1(X18,X16,X17)
| ~ v1_funct_2(X18,X16,X17)
| ~ v1_funct_1(X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])])]) ).
cnf(c_0_13,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,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]) ).
fof(c_0_15,plain,
! [X37,X38,X39] :
( m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(X37,X38)))
| ~ m2_relset_1(X39,X37,X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_16,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_17,plain,
( ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,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_20,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,plain,
! [X66,X67,X68] :
( v1_relat_1(X68)
| ~ m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(X66,X67))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
cnf(c_0_22,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( ! [X4] :
( ( m1_group_2(X4,X1)
& v1_group_1(X4) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) )
& r1_tarski(X2,u1_struct_0(X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_4]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(k5_group_4(X1,X2),X1)
& v1_group_1(k5_group_4(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_group_4]) ).
cnf(c_0_25,negated_conjecture,
~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20])]) ).
fof(c_0_26,plain,
! [X54,X55,X56] :
( r1_tarski(k9_relat_1(X56,X54),k9_relat_1(X56,X55))
| ~ r1_tarski(X54,X55)
| ~ v1_relat_1(X56) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])])]) ).
cnf(c_0_27,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
fof(c_0_29,plain,
! [X23,X24,X25,X26] :
( ( ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ m1_group_2(X25,X23)
| ~ v1_group_1(X25)
| X25 = k5_group_4(X23,X24)
| ~ r1_tarski(X24,u1_struct_0(X25))
| ~ m1_group_2(X25,esk6_3(X23,X24,X25)) )
& ( ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ m1_group_2(X25,X23)
| ~ v1_group_1(X25)
| X25 = k5_group_4(X23,X24)
| ~ r1_tarski(X24,u1_struct_0(X25))
| r1_tarski(X24,u1_struct_0(esk6_3(X23,X24,X25))) )
& ( ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ m1_group_2(X25,X23)
| ~ v1_group_1(X25)
| X25 = k5_group_4(X23,X24)
| ~ r1_tarski(X24,u1_struct_0(X25))
| m1_group_2(esk6_3(X23,X24,X25),X23) )
& ( ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ m1_group_2(X25,X23)
| ~ v1_group_1(X25)
| X25 = k5_group_4(X23,X24)
| ~ r1_tarski(X24,u1_struct_0(X25))
| v1_group_1(esk6_3(X23,X24,X25)) )
& ( ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ m1_group_2(X25,X23)
| ~ v1_group_1(X25)
| X25 != k5_group_4(X23,X24)
| m1_group_2(X25,X26)
| ~ r1_tarski(X24,u1_struct_0(X26))
| ~ m1_group_2(X26,X23)
| ~ v1_group_1(X26) )
& ( ~ l1_group_1(X23)
| ~ v4_group_1(X23)
| ~ v3_group_1(X23)
| v3_struct_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ m1_group_2(X25,X23)
| ~ v1_group_1(X25)
| X25 != k5_group_4(X23,X24)
| r1_tarski(X24,u1_struct_0(X25)) ) ),
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_23])])])])])]) ).
fof(c_0_30,plain,
! [X28,X29] :
( ( ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(X28)))
| ~ l1_group_1(X28)
| ~ v4_group_1(X28)
| ~ v3_group_1(X28)
| v3_struct_0(X28)
| m1_group_2(k5_group_4(X28,X29),X28) )
& ( ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(X28)))
| ~ l1_group_1(X28)
| ~ v4_group_1(X28)
| ~ v3_group_1(X28)
| v3_struct_0(X28)
| v1_group_1(k5_group_4(X28,X29)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_31,negated_conjecture,
~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_32,plain,
( ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_group_2(X2,X3)
| ~ v1_group_1(X2)
| X2 != k5_group_4(X3,X1)
| v3_struct_0(X3)
| r1_tarski(X1,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
~ 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_31,c_0_32]),c_0_33])]) ).
cnf(c_0_38,plain,
( ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_39,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_40,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,negated_conjecture,
$false,
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_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP639+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/5.45 % Computer : n002.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sun Sep 20 20:27:09 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/5.52 Running first-order theorem proving
% 0.22/5.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/5.58 % Version: 3.5.1
% 0.22/5.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/5.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.22/5.58 % Starting new_bool_1 with 300s (1) cores
% 0.22/5.58 % Starting sh5l with 300s (1) cores
% 0.22/5.58 % new_bool_1 with pid 1648556 completed with status 0
% 0.22/5.58 % Result found by new_bool_1
% 0.22/5.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/5.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.22/5.58 % Starting new_bool_1 with 300s (1) cores
% 0.22/5.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/5.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/5.58 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.22/5.58 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.22/5.58 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.22/5.58 % Starting SubtermCWHack with 28s (1) cores
% 0.22/5.58 % SubtermCWHack with pid 1648559 completed with status 0
% 0.22/5.58 % Result found by SubtermCWHack
% 0.22/5.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/5.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.22/5.58 % Starting new_bool_1 with 300s (1) cores
% 0.22/5.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/5.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/5.58 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.22/5.58 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.22/5.58 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.22/5.58 % Starting SubtermCWHack with 28s (1) cores
% 0.22/5.58 % Preprocessing time : 0.003 s
% 0.22/5.58
% 0.22/5.58 % Proof found!
% 0.22/5.58 % SZS status Theorem
% 0.22/5.58 % SZS output start CNFRefutation
% See solution above
% 0.22/5.58 % Parsed axioms : 54
% 0.22/5.58 % Removed by relevancy pruning/SinE : 20
% 0.22/5.58 % Initial clauses : 67
% 0.22/5.58 % Removed in clause preprocessing : 0
% 0.22/5.58 % Initial clauses in saturation : 67
% 0.22/5.58 % Processed clauses : 123
% 0.22/5.58 % ...of these trivial : 0
% 0.22/5.58 % ...subsumed : 6
% 0.22/5.58 % ...remaining for further processing : 117
% 0.22/5.58 % Other redundant clauses eliminated : 4
% 0.22/5.58 % Clauses deleted for lack of memory : 0
% 0.22/5.58 % Backward-subsumed : 0
% 0.22/5.58 % Backward-rewritten : 3
% 0.22/5.58 % Generated clauses : 79
% 0.22/5.58 % ...of the previous two non-redundant : 66
% 0.22/5.58 % ...aggressively subsumed : 0
% 0.22/5.58 % Contextual simplify-reflections : 2
% 0.22/5.58 % Paramodulations : 73
% 0.22/5.58 % Factorizations : 0
% 0.22/5.58 % NegExts : 0
% 0.22/5.58 % Equation resolutions : 6
% 0.22/5.58 % Disequality decompositions : 0
% 0.22/5.58 % Total rewrite steps : 63
% 0.22/5.58 % ...of those cached : 39
% 0.22/5.58 % Propositional unsat checks : 0
% 0.22/5.58 % Propositional check models : 0
% 0.22/5.58 % Propositional check unsatisfiable : 0
% 0.22/5.58 % Propositional clauses : 0
% 0.22/5.58 % Propositional clauses after purity: 0
% 0.22/5.58 % Propositional unsat core size : 0
% 0.22/5.58 % Propositional preprocessing time : 0.000
% 0.22/5.58 % Propositional encoding time : 0.000
% 0.22/5.58 % Propositional solver time : 0.000
% 0.22/5.58 % Success case prop preproc time : 0.000
% 0.22/5.58 % Success case prop encoding time : 0.000
% 0.22/5.58 % Success case prop solver time : 0.000
% 0.22/5.58 % Current number of processed clauses : 112
% 0.22/5.58 % Positive orientable unit clauses : 45
% 0.22/5.58 % Positive unorientable unit clauses: 0
% 0.22/5.58 % Negative unit clauses : 16
% 0.22/5.58 % Non-unit-clauses : 51
% 0.22/5.58 % Current number of unprocessed clauses: 7
% 0.22/5.58 % ...number of literals in the above : 64
% 0.22/5.58 % Current number of archived formulas : 0
% 0.22/5.58 % Current number of archived clauses : 3
% 0.22/5.58 % Clause-clause subsumption calls (NU) : 1643
% 0.22/5.58 % Rec. Clause-clause subsumption calls : 312
% 0.22/5.58 % Non-unit clause-clause subsumptions : 2
% 0.22/5.58 % Unit Clause-clause subsumption calls : 113
% 0.22/5.58 % Rewrite failures with RHS unbound : 0
% 0.22/5.58 % BW rewrite match attempts : 6
% 0.22/5.58 % BW rewrite match successes : 2
% 0.22/5.58 % Condensation attempts : 0
% 0.22/5.58 % Condensation successes : 0
% 0.22/5.58 % Termbank termtop insertions : 6277
% 0.22/5.58 % Search garbage collected termcells : 976
% 0.22/5.58
% 0.22/5.58 % -------------------------------------------------
% 0.22/5.58 % User time : 0.021 s
% 0.22/5.58 % System time : 0.007 s
% 0.22/5.58 % Total time : 0.028 s
% 0.22/5.58 % Maximum resident set size: 3688 pages
% 0.22/5.58
% 0.22/5.58 % -------------------------------------------------
% 0.22/5.58 % User time : 0.025 s
% 0.22/5.58 % System time : 0.012 s
% 0.22/5.58 % Total time : 0.038 s
% 0.22/5.58 % Maximum resident set size: 4608 pages
% 0.22/5.58 % E exiting
%------------------------------------------------------------------------------