%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP641+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 12:44:30 PM UTC 2026
% Result : Theorem 0.23s 0.56s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 17 unt; 0 def)
% Number of atoms : 268 ( 18 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 333 ( 121 ~; 117 |; 65 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_latsubgr,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( l1_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(t53_group_2,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k2_group_1(X2) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_group_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(k1_latsubgr(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(dt_k2_group_1,axiom,
! [X1] :
( ( l1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(X2) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(assume_negation,[status(cth)],[t19_latsubgr]) ).
fof(c_0_10,plain,
! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( l1_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k2_group_1(X2) = k2_group_1(X1) ) ),
inference(fof_simplification,[status(thm)],[t53_group_2]) ).
fof(c_0_13,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_14,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(k1_latsubgr(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(c_0_15,plain,
! [X1] :
( ( l1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k2_group_1]) ).
fof(c_0_16,plain,
! [X31,X32] :
( ( ~ l1_group_1(X31)
| ~ v3_group_1(X31)
| v3_struct_0(X31)
| ~ m1_group_2(X32,X31)
| l1_group_1(X32) )
& ( ~ l1_group_1(X31)
| ~ v3_group_1(X31)
| v3_struct_0(X31)
| ~ m1_group_2(X32,X31)
| v3_group_1(X32) )
& ( ~ l1_group_1(X31)
| ~ v3_group_1(X31)
| v3_struct_0(X31)
| ~ m1_group_2(X32,X31)
| ~ v3_struct_0(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_17,negated_conjecture,
( ~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& m1_group_2(esk2_0,esk1_0)
& v1_group_1(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_11])])])]) ).
fof(c_0_18,plain,
! [X86,X87] :
( k2_group_1(X87) = k2_group_1(X86)
| ~ m1_group_2(X87,X86)
| ~ l1_group_1(X86)
| ~ v4_group_1(X86)
| ~ v3_group_1(X86)
| v3_struct_0(X86) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,plain,
! [X50] :
( ~ v1_xboole_0(u1_struct_0(X50))
| ~ l1_struct_0(X50)
| v3_struct_0(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,plain,
! [X30] :
( l1_struct_0(X30)
| ~ l1_group_1(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])])]) ).
fof(c_0_21,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v1_funct_1(X2) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_22,plain,
! [X28] :
( ( ~ l1_group_1(X28)
| ~ v4_group_1(X28)
| ~ v3_group_1(X28)
| v3_struct_0(X28)
| m2_relset_1(k1_latsubgr(X28),k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28))) )
& ( ~ l1_group_1(X28)
| ~ v4_group_1(X28)
| ~ v3_group_1(X28)
| v3_struct_0(X28)
| v1_funct_2(k1_latsubgr(X28),k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28))) )
& ( ~ l1_group_1(X28)
| ~ v4_group_1(X28)
| ~ v3_group_1(X28)
| v3_struct_0(X28)
| v1_funct_1(k1_latsubgr(X28)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_23,plain,
! [X29] :
( m1_subset_1(k2_group_1(X29),u1_struct_0(X29))
| ~ l1_group_1(X29)
| v3_struct_0(X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_24,plain,
( ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2)
| v3_struct_0(X2)
| l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
( ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
( ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k2_group_1(X2) = k2_group_1(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,plain,
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_34,plain,
! [X22,X23,X24] :
( ( ~ l1_group_1(X22)
| ~ v4_group_1(X22)
| ~ v3_group_1(X22)
| v3_struct_0(X22)
| ~ m2_relset_1(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_2(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_1(X23)
| X23 = k1_latsubgr(X22)
| k1_funct_1(X23,esk3_2(X22,X23)) != u1_struct_0(esk3_2(X22,X23)) )
& ( ~ l1_group_1(X22)
| ~ v4_group_1(X22)
| ~ v3_group_1(X22)
| v3_struct_0(X22)
| ~ m2_relset_1(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_2(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_1(X23)
| X23 = k1_latsubgr(X22)
| m1_group_2(esk3_2(X22,X23),X22) )
& ( ~ l1_group_1(X22)
| ~ v4_group_1(X22)
| ~ v3_group_1(X22)
| v3_struct_0(X22)
| ~ m2_relset_1(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_2(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_1(X23)
| X23 = k1_latsubgr(X22)
| v1_group_1(esk3_2(X22,X23)) )
& ( ~ l1_group_1(X22)
| ~ v4_group_1(X22)
| ~ v3_group_1(X22)
| v3_struct_0(X22)
| ~ m2_relset_1(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_2(X23,k1_group_3(X22),k1_zfmisc_1(u1_struct_0(X22)))
| ~ v1_funct_1(X23)
| k1_funct_1(X23,X24) = u1_struct_0(X24)
| ~ m1_group_2(X24,X22)
| ~ v1_group_1(X24)
| X23 != k1_latsubgr(X22) ) ),
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_21])])])])])]) ).
cnf(c_0_35,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_38,plain,
! [X79,X80] :
( r2_hidden(X79,X80)
| v1_xboole_0(X80)
| ~ m1_subset_1(X79,X80) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_39,plain,
( ~ l1_group_1(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,negated_conjecture,
l1_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_42,negated_conjecture,
k2_group_1(esk2_0) = k2_group_1(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_30,c_0_25]),c_0_26]),c_0_31]),c_0_27])]),c_0_28]) ).
cnf(c_0_43,plain,
( ~ l1_group_1(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_funct_1(X1)
| ~ m1_group_2(X3,X2)
| ~ v1_group_1(X3)
| X1 != k1_latsubgr(X2)
| v3_struct_0(X2)
| k1_funct_1(X1,X3) = u1_struct_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,negated_conjecture,
m2_relset_1(k1_latsubgr(esk1_0),k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_31]),c_0_27])]),c_0_28]) ).
cnf(c_0_46,negated_conjecture,
v1_funct_2(k1_latsubgr(esk1_0),k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_31]),c_0_27])]),c_0_28]) ).
cnf(c_0_47,negated_conjecture,
v1_funct_1(k1_latsubgr(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_26]),c_0_31]),c_0_27])]),c_0_28]) ).
cnf(c_0_48,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_40])]) ).
cnf(c_0_51,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,negated_conjecture,
( ~ v1_group_1(X1)
| ~ m1_group_2(X1,esk1_0)
| k1_funct_1(k1_latsubgr(esk1_0),X1) = u1_struct_0(X1) ),
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(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_26]),c_0_31]),c_0_27])]),c_0_28]) ).
cnf(c_0_53,negated_conjecture,
r2_hidden(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,negated_conjecture,
$false,
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_25]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP641+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n002.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 20:27:16 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.56 % Version: 3.5.1
% 0.23/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.56 % Starting sh5l with 300s (1) cores
% 0.23/0.56 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1648964 completed with status 0
% 0.23/0.56 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.56 % No SInE strategy applied
% 0.23/0.56 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.23/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.23/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.23/0.56 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.23/0.56 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 1648973 completed with status 0
% 0.23/0.56 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 0.23/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.56 % No SInE strategy applied
% 0.23/0.56 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.23/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.23/0.56 % Preprocessing time : 0.003 s
% 0.23/0.56
% 0.23/0.56 % Proof found!
% 0.23/0.56 % SZS status Theorem
% 0.23/0.56 % SZS output start CNFRefutation
% See solution above
% 0.23/0.56 % Parsed axioms : 55
% 0.23/0.56 % Removed by relevancy pruning/SinE : 0
% 0.23/0.56 % Initial clauses : 89
% 0.23/0.56 % Removed in clause preprocessing : 14
% 0.23/0.56 % Initial clauses in saturation : 75
% 0.23/0.56 % Processed clauses : 177
% 0.23/0.56 % ...of these trivial : 0
% 0.23/0.56 % ...subsumed : 13
% 0.23/0.56 % ...remaining for further processing : 164
% 0.23/0.56 % Other redundant clauses eliminated : 0
% 0.23/0.56 % Clauses deleted for lack of memory : 0
% 0.23/0.56 % Backward-subsumed : 0
% 0.23/0.56 % Backward-rewritten : 3
% 0.23/0.56 % Generated clauses : 203
% 0.23/0.56 % ...of the previous two non-redundant : 183
% 0.23/0.56 % ...aggressively subsumed : 0
% 0.23/0.56 % Contextual simplify-reflections : 0
% 0.23/0.56 % Paramodulations : 200
% 0.23/0.56 % Factorizations : 0
% 0.23/0.56 % NegExts : 0
% 0.23/0.56 % Equation resolutions : 3
% 0.23/0.56 % Disequality decompositions : 0
% 0.23/0.56 % Total rewrite steps : 97
% 0.23/0.56 % ...of those cached : 59
% 0.23/0.56 % Propositional unsat checks : 0
% 0.23/0.56 % Propositional check models : 0
% 0.23/0.56 % Propositional check unsatisfiable : 0
% 0.23/0.56 % Propositional clauses : 0
% 0.23/0.56 % Propositional clauses after purity: 0
% 0.23/0.56 % Propositional unsat core size : 0
% 0.23/0.56 % Propositional preprocessing time : 0.000
% 0.23/0.56 % Propositional encoding time : 0.000
% 0.23/0.56 % Propositional solver time : 0.000
% 0.23/0.56 % Success case prop preproc time : 0.000
% 0.23/0.56 % Success case prop encoding time : 0.000
% 0.23/0.56 % Success case prop solver time : 0.000
% 0.23/0.56 % Current number of processed clauses : 161
% 0.23/0.56 % Positive orientable unit clauses : 58
% 0.23/0.56 % Positive unorientable unit clauses: 0
% 0.23/0.56 % Negative unit clauses : 18
% 0.23/0.56 % Non-unit-clauses : 85
% 0.23/0.56 % Current number of unprocessed clauses: 75
% 0.23/0.56 % ...number of literals in the above : 242
% 0.23/0.56 % Current number of archived formulas : 0
% 0.23/0.56 % Current number of archived clauses : 3
% 0.23/0.56 % Clause-clause subsumption calls (NU) : 1357
% 0.23/0.56 % Rec. Clause-clause subsumption calls : 561
% 0.23/0.56 % Non-unit clause-clause subsumptions : 5
% 0.23/0.56 % Unit Clause-clause subsumption calls : 801
% 0.23/0.56 % Rewrite failures with RHS unbound : 0
% 0.23/0.56 % BW rewrite match attempts : 9
% 0.23/0.56 % BW rewrite match successes : 2
% 0.23/0.56 % Condensation attempts : 0
% 0.23/0.56 % Condensation successes : 0
% 0.23/0.56 % Termbank termtop insertions : 8987
% 0.23/0.56 % Search garbage collected termcells : 997
% 0.23/0.56
% 0.23/0.56 % -------------------------------------------------
% 0.23/0.56 % User time : 0.022 s
% 0.23/0.56 % System time : 0.004 s
% 0.23/0.56 % Total time : 0.026 s
% 0.23/0.56 % Maximum resident set size: 3684 pages
% 0.23/0.56
% 0.23/0.56 % -------------------------------------------------
% 0.23/0.56 % User time : 0.072 s
% 0.23/0.56 % System time : 0.022 s
% 0.23/0.56 % Total time : 0.093 s
% 0.23/0.56 % Maximum resident set size: 4608 pages
% 0.23/0.56 % E exiting
%------------------------------------------------------------------------------