%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT289+4 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : Tue May 5 04:37:56 PM UTC 2026
% Result : Theorem 102.53s 79.46s
% Output : CNFRefutation 102.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 20 unt; 0 def)
% Number of atoms : 268 ( 10 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 334 ( 121 ~; 111 |; 75 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 67 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(t27_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_lopclset) ).
fof(dt_k9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_lopclset) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t15_filter_0) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_m1_filter_0) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k8_funct_2) ).
fof(t21_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_lopclset) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_lopclset]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t27_lopclset])]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_lopclset]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
fof(c_0_12,plain,
! [X730] :
( v3_struct_0(X730)
| ~ v10_lattices(X730)
| ~ v17_lattices(X730)
| v3_realset2(X730)
| ~ l3_lattices(X730)
| k9_lopclset(X730) = k8_lopclset(X730) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_filter_0(esk3_0,esk1_0)
& v1_filter_0(esk3_0,esk1_0)
& ~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0))
& r2_hidden(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_14,plain,
! [X729] :
( ( v1_funct_1(k9_lopclset(X729))
| v3_struct_0(X729)
| ~ v10_lattices(X729)
| ~ v17_lattices(X729)
| v3_realset2(X729)
| ~ l3_lattices(X729) )
& ( v1_funct_2(k9_lopclset(X729),u1_struct_0(X729),k1_zfmisc_1(k7_lopclset(X729)))
| v3_struct_0(X729)
| ~ v10_lattices(X729)
| ~ v17_lattices(X729)
| v3_realset2(X729)
| ~ l3_lattices(X729) )
& ( m2_relset_1(k9_lopclset(X729),u1_struct_0(X729),k1_zfmisc_1(k7_lopclset(X729)))
| v3_struct_0(X729)
| ~ v10_lattices(X729)
| ~ v17_lattices(X729)
| v3_realset2(X729)
| ~ l3_lattices(X729) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_16,plain,
! [X799] :
( v3_struct_0(X799)
| ~ v10_lattices(X799)
| ~ l3_lattices(X799)
| m1_filter_0(u1_struct_0(X799),X799) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_17,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k9_lopclset(X1) = k8_lopclset(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( v1_funct_1(k9_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_25,plain,
! [X800,X801] :
( ( ~ v1_xboole_0(X801)
| ~ m1_filter_0(X801,X800)
| v3_struct_0(X800)
| ~ v10_lattices(X800)
| ~ l3_lattices(X800) )
& ( m1_subset_1(X801,k1_zfmisc_1(u1_struct_0(X800)))
| ~ m1_filter_0(X801,X800)
| v3_struct_0(X800)
| ~ v10_lattices(X800)
| ~ l3_lattices(X800) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_27,plain,
! [X705,X706,X707,X708] :
( v1_xboole_0(X705)
| ~ v1_funct_1(X707)
| ~ v1_funct_2(X707,X705,X706)
| ~ m1_relset_1(X707,X705,X706)
| ~ m1_subset_1(X708,X705)
| k8_funct_2(X705,X706,X707,X708) = k1_funct_1(X707,X708) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
cnf(c_0_28,plain,
( v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,negated_conjecture,
k9_lopclset(esk1_0) = k8_lopclset(esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_30,negated_conjecture,
v1_funct_1(k9_lopclset(esk1_0)),
inference(sr,[status(thm)],[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_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_31,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21])]),c_0_23]) ).
cnf(c_0_33,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_34,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_2(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_29]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_36,negated_conjecture,
v1_funct_1(k8_lopclset(esk1_0)),
inference(rw,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
~ v1_xboole_0(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_31,c_0_32]),c_0_20]),c_0_21])]),c_0_23]) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t21_lopclset]) ).
cnf(c_0_39,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k8_lopclset(esk1_0),esk2_0)),
inference(rw,[status(thm)],[c_0_33,c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k8_lopclset(esk1_0),X1) = k1_funct_1(k8_lopclset(esk1_0),X1)
| ~ m1_relset_1(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_41,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_42,plain,
! [X822,X823,X824] :
( ( ~ m2_relset_1(X824,X822,X823)
| m1_relset_1(X824,X822,X823) )
& ( ~ m1_relset_1(X824,X822,X823)
| m2_relset_1(X824,X822,X823) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_43,plain,
( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_44,plain,
! [X1111,X1112,X1113] :
( ( v1_filter_0(X1113,X1111)
| ~ r2_hidden(X1113,k1_funct_1(k8_lopclset(X1111),X1112))
| ~ m1_filter_0(X1113,X1111)
| ~ m1_subset_1(X1112,u1_struct_0(X1111))
| v3_struct_0(X1111)
| ~ v10_lattices(X1111)
| ~ v17_lattices(X1111)
| v3_realset2(X1111)
| ~ l3_lattices(X1111) )
& ( r2_hidden(X1112,X1113)
| ~ r2_hidden(X1113,k1_funct_1(k8_lopclset(X1111),X1112))
| ~ m1_filter_0(X1113,X1111)
| ~ m1_subset_1(X1112,u1_struct_0(X1111))
| v3_struct_0(X1111)
| ~ v10_lattices(X1111)
| ~ v17_lattices(X1111)
| v3_realset2(X1111)
| ~ l3_lattices(X1111) )
& ( ~ v1_filter_0(X1113,X1111)
| ~ r2_hidden(X1112,X1113)
| r2_hidden(X1113,k1_funct_1(k8_lopclset(X1111),X1112))
| ~ m1_filter_0(X1113,X1111)
| ~ m1_subset_1(X1112,u1_struct_0(X1111))
| v3_struct_0(X1111)
| ~ v10_lattices(X1111)
| ~ v17_lattices(X1111)
| v3_realset2(X1111)
| ~ l3_lattices(X1111) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ m1_relset_1(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[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(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_19]),c_0_29]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_48,plain,
( r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3))
| v3_struct_0(X2)
| v3_realset2(X2)
| ~ v1_filter_0(X1,X2)
| ~ r2_hidden(X3,X1)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
~ r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_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,
( r2_hidden(X1,k1_funct_1(k8_lopclset(esk1_0),esk2_0))
| ~ v1_filter_0(X1,esk1_0)
| ~ m1_filter_0(X1,esk1_0)
| ~ r2_hidden(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_51,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_53,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_54,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_49,c_0_50]),c_0_51]),c_0_52]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT289+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n007.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 21:00:58 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 102.53/79.46 % Version : CSE_E---1.7
% 102.53/79.46 % Problem : theBenchmark.p
% 102.53/79.46 % SZS status Theorem for theBenchmark.p
% 102.53/79.46 % SZS output start CNFRefutation
% See solution above
% 102.73/79.64 % Total time : 72.461s
%------------------------------------------------------------------------------