%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT297+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:04:45 PM UTC 2026
% Result : Theorem 33.94s 5.98s
% Output : CNFRefutation 33.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 91 ( 16 unt; 0 def)
% Number of atoms : 528 ( 11 equ)
% Maximal formula atoms : 70 ( 5 avg)
% Number of connectives : 670 ( 233 ~; 279 |; 80 &)
% ( 14 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 169 ( 3 sgn 107 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_2) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(existence_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',existence_m1_filter_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(d10_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
=> ( r2_hidden(k3_lattices(X1,X3,X4),X2)
& r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_m1_filter_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
fof(idempotence_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',idempotence_k5_subset_1) ).
fof(d1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( m1_filter_0(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d1_filter_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(t9_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( m1_filter_0(X2,X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r3_lattices(X1,X3,X4)
& r2_hidden(X3,X2) )
=> r2_hidden(X4,X2) ) ) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t9_filter_0) ).
fof(dt_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k5_subset_1) ).
fof(t11_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> m2_lattice4(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t11_lattice4) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[t13_filter_2]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_16,plain,
! [X259,X260,X261] :
( k5_subset_1(X259,X260,X261) = k3_xboole_0(X260,X261)
| ~ m1_subset_1(X261,k1_zfmisc_1(X259))
| ~ m1_subset_1(X260,k1_zfmisc_1(X259)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])]) ).
fof(c_0_17,negated_conjecture,
! [X17,X18] :
( ~ m2_lattice4(esk2_0,esk1_0)
& ( ~ m1_subset_1(X17,u1_struct_0(esk1_0))
| ~ m1_subset_1(X18,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X17,X18),esk2_0)
| r2_hidden(X18,esk2_0) )
& ( ~ m1_subset_1(X17,u1_struct_0(esk1_0))
| ~ m1_subset_1(X18,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X17,X18),esk2_0)
| r2_hidden(X17,esk2_0) )
& ( ~ m1_subset_1(X17,u1_struct_0(esk1_0))
| ~ m1_subset_1(X18,u1_struct_0(esk1_0))
| r2_hidden(k4_lattices(esk1_0,X17,X18),esk2_0)
| ~ r2_hidden(X18,esk2_0)
| ~ r2_hidden(X17,esk2_0) )
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
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_15])])])])])]) ).
fof(c_0_18,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
inference(fof_simplification,[status(thm)],[existence_m1_filter_0]) ).
fof(c_0_19,plain,
! [X144,X145] :
( ( m1_subset_1(X144,k1_zfmisc_1(X145))
| ~ r1_tarski(X144,X145) )
& ( r1_tarski(X144,X145)
| ~ m1_subset_1(X144,k1_zfmisc_1(X145)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
fof(c_0_20,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
=> ( r2_hidden(k3_lattices(X1,X3,X4),X2)
& r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d10_lattice4]) ).
cnf(c_0_21,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_24,plain,
! [X183] :
( m1_filter_0(esk33_1(X183),X183)
| ~ l3_lattices(X183)
| ~ v10_lattices(X183)
| v3_struct_0(X183) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_25,plain,
! [X188,X189,X190,X191,X192] :
( ( r1_tarski(X191,X192)
| ~ r2_hidden(esk34_2(X191,X192),X192) )
& ( r1_tarski(X191,X192)
| r2_hidden(esk34_2(X191,X192),X191) )
& ( r2_hidden(X190,X189)
| ~ r2_hidden(X190,X188)
| ~ r1_tarski(X188,X189) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
cnf(c_0_26,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_27,plain,
! [X21,X22,X23,X24] :
( ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| m2_lattice4(X22,X21)
| ~ r2_hidden(k3_lattices(X21,esk4_2(X21,X22),esk5_2(X21,X22)),X22)
| ~ r2_hidden(k4_lattices(X21,esk4_2(X21,X22),esk5_2(X21,X22)),X22) )
& ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| m2_lattice4(X22,X21)
| r2_hidden(esk5_2(X21,X22),X22) )
& ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| m2_lattice4(X22,X21)
| r2_hidden(esk4_2(X21,X22),X22) )
& ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| m2_lattice4(X22,X21)
| m1_subset_1(esk5_2(X21,X22),u1_struct_0(X21)) )
& ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| m2_lattice4(X22,X21)
| m1_subset_1(esk4_2(X21,X22),u1_struct_0(X21)) )
& ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| ~ m2_lattice4(X22,X21)
| ~ m1_subset_1(X23,u1_struct_0(X21))
| ~ m1_subset_1(X24,u1_struct_0(X21))
| ~ r2_hidden(X24,X22)
| ~ r2_hidden(X23,X22)
| r2_hidden(k3_lattices(X21,X23,X24),X22) )
& ( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))
| ~ m2_lattice4(X22,X21)
| ~ m1_subset_1(X23,u1_struct_0(X21))
| ~ m1_subset_1(X24,u1_struct_0(X21))
| ~ r2_hidden(X24,X22)
| ~ r2_hidden(X23,X22)
| r2_hidden(k4_lattices(X21,X23,X24),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_20])])])])])]) ).
fof(c_0_28,plain,
! [X1,X2] :
( epred1_2(X2,X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r3_lattices(X1,X3,X4)
& r2_hidden(X3,X2) )
=> r2_hidden(X4,X2) ) ) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ),
introduced(definition) ).
fof(c_0_29,plain,
! [X256,X257,X258] :
( k5_subset_1(X256,X257,X257) = X257
| ~ m1_subset_1(X258,k1_zfmisc_1(X256))
| ~ m1_subset_1(X257,k1_zfmisc_1(X256)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[idempotence_k5_subset_1])])]) ).
cnf(c_0_30,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| k5_subset_1(u1_struct_0(esk1_0),X1,esk2_0) = k3_xboole_0(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_31,plain,
! [X181,X182] :
( ( ~ l3_lattices(X181)
| ~ v10_lattices(X181)
| v3_struct_0(X181)
| ~ m1_filter_0(X182,X181)
| m1_subset_1(X182,k1_zfmisc_1(u1_struct_0(X181))) )
& ( ~ l3_lattices(X181)
| ~ v10_lattices(X181)
| v3_struct_0(X181)
| ~ m1_filter_0(X182,X181)
| ~ v1_xboole_0(X182) ) ),
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_23])])])])]) ).
cnf(c_0_32,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(esk33_1(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_36,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( m1_filter_0(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_filter_0]) ).
fof(c_0_37,plain,
! [X58,X59] :
( m1_subset_1(X58,X59)
| ~ r2_hidden(X58,X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_38,plain,
( ~ r2_hidden(X3,X1)
| ~ r1_tarski(X1,X2)
| r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,negated_conjecture,
r1_tarski(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
fof(c_0_40,plain,
! [X43,X44] :
( ~ v1_xboole_0(X44)
| ~ r2_hidden(X43,X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_41,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,negated_conjecture,
~ m2_lattice4(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_43,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( m1_filter_0(X2,X1)
<=> epred1_2(X2,X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t9_filter_0]),c_0_28]) ).
cnf(c_0_44,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),esk2_0,esk2_0) = k3_xboole_0(esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_30,c_0_22]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,negated_conjecture,
m1_filter_0(esk33_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_48,plain,
! [X112,X113,X114,X115] :
( ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| m1_filter_0(X113,X112)
| r2_hidden(k4_lattices(X112,esk18_2(X112,X113),esk19_2(X112,X113)),X113)
| r2_hidden(esk19_2(X112,X113),X113) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| m1_filter_0(X113,X112)
| r2_hidden(k4_lattices(X112,esk18_2(X112,X113),esk19_2(X112,X113)),X113)
| r2_hidden(esk18_2(X112,X113),X113) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| m1_filter_0(X113,X112)
| ~ r2_hidden(k4_lattices(X112,esk18_2(X112,X113),esk19_2(X112,X113)),X113)
| ~ r2_hidden(esk19_2(X112,X113),X113)
| ~ r2_hidden(esk18_2(X112,X113),X113) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| m1_filter_0(X113,X112)
| m1_subset_1(esk19_2(X112,X113),u1_struct_0(X112)) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| m1_filter_0(X113,X112)
| m1_subset_1(esk18_2(X112,X113),u1_struct_0(X112)) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| ~ m1_filter_0(X113,X112)
| ~ m1_subset_1(X114,u1_struct_0(X112))
| ~ m1_subset_1(X115,u1_struct_0(X112))
| ~ r2_hidden(k4_lattices(X112,X114,X115),X113)
| r2_hidden(X115,X113) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| ~ m1_filter_0(X113,X112)
| ~ m1_subset_1(X114,u1_struct_0(X112))
| ~ m1_subset_1(X115,u1_struct_0(X112))
| ~ r2_hidden(k4_lattices(X112,X114,X115),X113)
| r2_hidden(X114,X113) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| ~ m1_subset_1(X113,k1_zfmisc_1(u1_struct_0(X112)))
| v1_xboole_0(X113)
| ~ m1_filter_0(X113,X112)
| ~ m1_subset_1(X114,u1_struct_0(X112))
| ~ m1_subset_1(X115,u1_struct_0(X112))
| r2_hidden(k4_lattices(X112,X114,X115),X113)
| ~ r2_hidden(X115,X113)
| ~ r2_hidden(X114,X113) ) ),
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_36])])])])])]) ).
cnf(c_0_49,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,negated_conjecture,
r2_hidden(esk4_2(esk1_0,esk2_0),esk2_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_41,c_0_22]),c_0_33]),c_0_34])]),c_0_42]),c_0_35]) ).
fof(c_0_53,plain,
! [X118,X119] :
( ( ~ l3_lattices(X118)
| ~ v10_lattices(X118)
| v3_struct_0(X118)
| ~ m1_subset_1(X119,k1_zfmisc_1(u1_struct_0(X118)))
| v1_xboole_0(X119)
| m1_filter_0(X119,X118)
| ~ epred1_2(X119,X118) )
& ( ~ l3_lattices(X118)
| ~ v10_lattices(X118)
| v3_struct_0(X118)
| ~ m1_subset_1(X119,k1_zfmisc_1(u1_struct_0(X118)))
| v1_xboole_0(X119)
| epred1_2(X119,X118)
| ~ m1_filter_0(X119,X118) ) ),
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_43])])])])]) ).
fof(c_0_54,plain,
! [X250,X251,X252] :
( m1_subset_1(k5_subset_1(X250,X251,X252),k1_zfmisc_1(X250))
| ~ m1_subset_1(X252,k1_zfmisc_1(X250))
| ~ m1_subset_1(X251,k1_zfmisc_1(X250)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])])]) ).
cnf(c_0_55,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| k3_xboole_0(esk2_0,esk2_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_22])]) ).
cnf(c_0_56,negated_conjecture,
m1_subset_1(esk33_1(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_46,c_0_47]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_57,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_lattices(X1,esk18_2(X1,X2),esk19_2(X1,X2)),X2)
| ~ r2_hidden(esk19_2(X1,X2),X2)
| ~ r2_hidden(esk18_2(X1,X2),X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0)
| r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_59,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| r2_hidden(k4_lattices(X1,esk18_2(X1,X2),esk19_2(X1,X2)),X2)
| r2_hidden(esk19_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| m1_subset_1(esk19_2(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_63,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| m1_subset_1(esk18_2(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_64,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| r2_hidden(k4_lattices(X1,esk18_2(X1,X2),esk19_2(X1,X2)),X2)
| r2_hidden(esk18_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_65,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> m2_lattice4(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t11_lattice4]) ).
cnf(c_0_66,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ epred1_2(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,negated_conjecture,
k3_xboole_0(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_69,plain,
( ~ r2_hidden(esk19_2(X2,X1),X1)
| ~ r2_hidden(esk18_2(X2,X1),X1)
| ~ r2_hidden(k4_lattices(X2,esk18_2(X2,X1),esk19_2(X2,X1)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(csr,[status(thm)],[c_0_57,c_0_51]) ).
cnf(c_0_70,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| ~ r2_hidden(X2,esk2_0)
| r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_58,c_0_59]),c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X2,X1),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_72,negated_conjecture,
( r2_hidden(esk19_2(esk1_0,esk2_0),esk2_0)
| r2_hidden(k4_lattices(esk1_0,esk18_2(esk1_0,esk2_0),esk19_2(esk1_0,esk2_0)),esk2_0)
| m1_filter_0(esk2_0,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_60,c_0_22]),c_0_33]),c_0_34])]),c_0_35]),c_0_61]) ).
cnf(c_0_73,negated_conjecture,
( m1_subset_1(esk19_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_filter_0(esk2_0,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_62,c_0_22]),c_0_33]),c_0_34])]),c_0_35]),c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( m1_subset_1(esk18_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_filter_0(esk2_0,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_63,c_0_22]),c_0_33]),c_0_34])]),c_0_35]),c_0_61]) ).
cnf(c_0_75,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_76,negated_conjecture,
( r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0)
| r2_hidden(k4_lattices(esk1_0,esk18_2(esk1_0,esk2_0),esk19_2(esk1_0,esk2_0)),esk2_0)
| m1_filter_0(esk2_0,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_64,c_0_22]),c_0_33]),c_0_34])]),c_0_35]),c_0_61]) ).
fof(c_0_77,plain,
! [X28,X29] :
( m2_lattice4(X29,X28)
| ~ m1_filter_0(X29,X28)
| ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
cnf(c_0_78,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ epred1_2(k5_subset_1(u1_struct_0(X1),X2,X3),X1)
| v1_xboole_0(k5_subset_1(u1_struct_0(X1),X2,X3))
| v3_struct_0(X1)
| m1_filter_0(k5_subset_1(u1_struct_0(X1),X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),esk2_0,esk2_0) = esk2_0,
inference(rw,[status(thm)],[c_0_45,c_0_68]) ).
cnf(c_0_80,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_81,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_82,negated_conjecture,
( ~ r2_hidden(esk19_2(esk1_0,esk2_0),esk2_0)
| ~ r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0)
| m1_filter_0(esk2_0,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_69,c_0_70]),c_0_33]),c_0_34]),c_0_22])]),c_0_35]) ).
cnf(c_0_83,negated_conjecture,
( r2_hidden(esk19_2(esk1_0,esk2_0),esk2_0)
| m1_filter_0(esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0)
| m1_filter_0(esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_74]),c_0_73]) ).
cnf(c_0_85,plain,
( ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( ~ epred1_2(esk2_0,esk1_0)
| m1_filter_0(esk2_0,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_78,c_0_79]),c_0_33]),c_0_34]),c_0_22])]),c_0_35]),c_0_61]) ).
cnf(c_0_87,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| epred1_2(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_80,c_0_46]),c_0_81]) ).
cnf(c_0_88,negated_conjecture,
m1_filter_0(esk2_0,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_89,negated_conjecture,
~ epred1_2(esk2_0,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_85,c_0_86]),c_0_33]),c_0_34])]),c_0_42]),c_0_35]) ).
cnf(c_0_90,negated_conjecture,
$false,
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_87,c_0_88]),c_0_33]),c_0_34])]),c_0_89]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT297+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 23:30:00 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 33.94/5.98 % Version: 3.5.1
% 33.94/5.98 % Preprocessing class: FMLLSMLLSSSNFFN.
% 33.94/5.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.94/5.98 % Starting new_bool_3 with 900s (3) cores
% 33.94/5.98 % Starting new_bool_1 with 900s (3) cores
% 33.94/5.98 % Starting sh5l with 300s (1) cores
% 33.94/5.98 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 33.94/5.98 % new_bool_1 with pid 3742008 completed with status 0
% 33.94/5.98 % Result found by new_bool_1
% 33.94/5.98 % Preprocessing class: FMLLSMLLSSSNFFN.
% 33.94/5.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.94/5.98 % Starting new_bool_3 with 900s (3) cores
% 33.94/5.98 % Starting new_bool_1 with 900s (3) cores
% 33.94/5.98 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 33.94/5.98 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 33.94/5.98 % Search class: FGHSM-FSLM31-MFFFFFNN
% 33.94/5.98 % Scheduled 8 strats onto 3 cores with 900 seconds (900 total)
% 33.94/5.98 % Starting SubtermCWHack with 82s (1) cores
% 33.94/5.98 % Starting new_bool_1 with 91s (1) cores
% 33.94/5.98 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 82s (1) cores
% 33.94/5.98 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 3742016 completed with status 0
% 33.94/5.98 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 33.94/5.98 % Preprocessing class: FMLLSMLLSSSNFFN.
% 33.94/5.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.94/5.98 % Starting new_bool_3 with 900s (3) cores
% 33.94/5.98 % Starting new_bool_1 with 900s (3) cores
% 33.94/5.98 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 33.94/5.98 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 33.94/5.98 % Search class: FGHSM-FSLM31-MFFFFFNN
% 33.94/5.98 % Scheduled 8 strats onto 3 cores with 900 seconds (900 total)
% 33.94/5.98 % Starting SubtermCWHack with 82s (1) cores
% 33.94/5.98 % Starting new_bool_1 with 91s (1) cores
% 33.94/5.98 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 82s (1) cores
% 33.94/5.98 % Preprocessing time : 0.069 s
% 33.94/5.98 % Presaturation interreduction done
% 33.94/5.98
% 33.94/5.98 % Proof found!
% 33.94/5.98 % SZS status Theorem
% 33.94/5.98 % SZS output start CNFRefutation
% See solution above
% 33.94/5.99 % Parsed axioms : 13588
% 33.94/5.99 % Removed by relevancy pruning/SinE : 13468
% 33.94/5.99 % Initial clauses : 257
% 33.94/5.99 % Removed in clause preprocessing : 8
% 33.94/5.99 % Initial clauses in saturation : 249
% 33.94/5.99 % Processed clauses : 26023
% 33.94/5.99 % ...of these trivial : 100
% 33.94/5.99 % ...subsumed : 19898
% 33.94/5.99 % ...remaining for further processing : 6025
% 33.94/5.99 % Other redundant clauses eliminated : 37
% 33.94/5.99 % Clauses deleted for lack of memory : 0
% 33.94/5.99 % Backward-subsumed : 159
% 33.94/5.99 % Backward-rewritten : 383
% 33.94/5.99 % Generated clauses : 201371
% 33.94/5.99 % ...of the previous two non-redundant : 191455
% 33.94/5.99 % ...aggressively subsumed : 0
% 33.94/5.99 % Contextual simplify-reflections : 120
% 33.94/5.99 % Paramodulations : 201182
% 33.94/5.99 % Factorizations : 148
% 33.94/5.99 % NegExts : 0
% 33.94/5.99 % Equation resolutions : 41
% 33.94/5.99 % Disequality decompositions : 0
% 33.94/5.99 % Total rewrite steps : 63653
% 33.94/5.99 % ...of those cached : 63098
% 33.94/5.99 % Propositional unsat checks : 1
% 33.94/5.99 % Propositional check models : 0
% 33.94/5.99 % Propositional check unsatisfiable : 0
% 33.94/5.99 % Propositional clauses : 0
% 33.94/5.99 % Propositional clauses after purity: 0
% 33.94/5.99 % Propositional unsat core size : 0
% 33.94/5.99 % Propositional preprocessing time : 0.000
% 33.94/5.99 % Propositional encoding time : 0.155
% 33.94/5.99 % Propositional solver time : 0.117
% 33.94/5.99 % Success case prop preproc time : 0.000
% 33.94/5.99 % Success case prop encoding time : 0.000
% 33.94/5.99 % Success case prop solver time : 0.000
% 33.94/5.99 % Current number of processed clauses : 5242
% 33.94/5.99 % Positive orientable unit clauses : 230
% 33.94/5.99 % Positive unorientable unit clauses: 0
% 33.94/5.99 % Negative unit clauses : 405
% 33.94/5.99 % Non-unit-clauses : 4607
% 33.94/5.99 % Current number of unprocessed clauses: 164280
% 33.94/5.99 % ...number of literals in the above : 764055
% 33.94/5.99 % Current number of archived formulas : 0
% 33.94/5.99 % Current number of archived clauses : 774
% 33.94/5.99 % Clause-clause subsumption calls (NU) : 3622813
% 33.94/5.99 % Rec. Clause-clause subsumption calls : 1069105
% 33.94/5.99 % Non-unit clause-clause subsumptions : 5817
% 33.94/5.99 % Unit Clause-clause subsumption calls : 65394
% 33.94/5.99 % Rewrite failures with RHS unbound : 0
% 33.94/5.99 % BW rewrite match attempts : 327
% 33.94/5.99 % BW rewrite match successes : 41
% 33.94/5.99 % Condensation attempts : 0
% 33.94/5.99 % Condensation successes : 0
% 33.94/5.99 % Termbank termtop insertions : 5877971
% 33.94/5.99 % Search garbage collected termcells : 120615
% 33.94/5.99
% 33.94/5.99 % -------------------------------------------------
% 33.94/5.99 % User time : 4.513 s
% 33.94/5.99 % System time : 0.181 s
% 33.94/5.99 % Total time : 4.694 s
% 33.94/5.99 % Maximum resident set size: 27916 pages
% 33.94/5.99
% 33.94/5.99 % -------------------------------------------------
% 33.94/5.99 % User time : 13.935 s
% 33.94/5.99 % System time : 0.529 s
% 33.94/5.99 % Total time : 14.464 s
% 33.94/5.99 % Maximum resident set size: 23040 pages
% 33.94/5.99 % E exiting
%------------------------------------------------------------------------------