%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT309+1 : 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 : n006.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 01:04:50 PM UTC 2026
% Result : Theorem 3.82s 1.06s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 105 ( 13 unt; 0 def)
% Number of atoms : 552 ( 47 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 682 ( 235 ~; 250 |; 139 &)
% ( 4 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_filter_2(X1,X3)
& r2_hidden(X2,X3) ) )
& X2 != k6_lattices(X1)
& v14_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_filter_2) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(t24_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
& X2 != k5_lattices(X1)
& l3_lattices(X1)
& v13_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_0) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(t79_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v14_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_lattice2) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
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/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_filter_2(X1,X3)
& r2_hidden(X2,X3) ) )
& X2 != k6_lattices(X1)
& v14_lattices(X1) ) ) ),
inference(assume_negation,[status(cth)],[t36_filter_2]) ).
fof(c_0_18,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_filter_2(X1,X3)
& r2_hidden(X2,X3) ) )
& X2 != k6_lattices(X1)
& v14_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
& X2 != k5_lattices(X1)
& l3_lattices(X1)
& v13_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t24_filter_0]) ).
fof(c_0_21,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_22,plain,
! [X23,X24] :
( k5_filter_2(X23,X24) = X24
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l3_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_23,negated_conjecture,
! [X9] :
( ( ~ r2_filter_2(esk1_0,X9)
| ~ r2_hidden(esk2_0,X9)
| ~ m2_filter_2(X9,esk1_0) )
& esk2_0 != k6_lattices(esk1_0)
& v14_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
fof(c_0_24,plain,
! [X1] :
( ( l3_lattices(X1)
& v14_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[t79_lattice2]) ).
fof(c_0_25,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
fof(c_0_26,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_27,plain,
! [X134,X135] :
( ( ~ l3_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| X135 = k5_lattices(X134)
| ~ l3_lattices(X134)
| ~ v13_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| v1_filter_0(esk28_2(X134,X135),X134) )
& ( ~ l3_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| X135 = k5_lattices(X134)
| ~ l3_lattices(X134)
| ~ v13_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| r2_hidden(X135,esk28_2(X134,X135)) )
& ( ~ l3_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| X135 = k5_lattices(X134)
| ~ l3_lattices(X134)
| ~ v13_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| m1_filter_0(esk28_2(X134,X135),X134) ) ),
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,
! [X37,X38] :
( m1_subset_1(k5_filter_2(X37,X38),u1_struct_0(k1_lattice2(X37)))
| ~ m1_subset_1(X38,u1_struct_0(X37))
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_29,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_34,plain,
! [X151] :
( k6_lattices(X151) = k5_lattices(k1_lattice2(X151))
| ~ l3_lattices(X151)
| ~ v14_lattices(X151)
| ~ v10_lattices(X151)
| v3_struct_0(X151) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_35,plain,
! [X149] :
( ( ~ l3_lattices(X149)
| ~ v10_lattices(X149)
| v3_struct_0(X149)
| v14_lattices(X149)
| ~ v13_lattices(k1_lattice2(X149)) )
& ( ~ l3_lattices(X149)
| ~ v10_lattices(X149)
| v3_struct_0(X149)
| v13_lattices(k1_lattice2(X149))
| ~ v14_lattices(X149) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_36,plain,
! [X97] :
( ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v10_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v9_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v8_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v7_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v6_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v5_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v4_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| v3_lattices(k1_lattice2(X97)) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| ~ v3_struct_0(k1_lattice2(X97)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_37,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(esk28_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
k5_filter_2(esk1_0,esk2_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_30]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_40,plain,
( ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| k6_lattices(X1) = k5_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_42,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,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]) ).
cnf(c_0_45,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(esk28_2(X1,X2),X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1) ),
inference(cn,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(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_38,c_0_30]),c_0_39]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_47,negated_conjecture,
k5_lattices(k1_lattice2(esk1_0)) = k6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_48,negated_conjecture,
v13_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_49,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_50,negated_conjecture,
esk2_0 != k6_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_51,plain,
! [X36] :
( ( ~ l3_lattices(X36)
| l3_lattices(k1_lattice2(X36)) )
& ( ~ l3_lattices(X36)
| v3_lattices(k1_lattice2(X36)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
fof(c_0_52,plain,
! [X48,X49] :
( ( ~ l3_lattices(X48)
| ~ v10_lattices(X48)
| v3_struct_0(X48)
| ~ m1_filter_0(X49,X48)
| m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48))) )
& ( ~ l3_lattices(X48)
| ~ v10_lattices(X48)
| v3_struct_0(X48)
| ~ m1_filter_0(X49,X48)
| ~ v1_xboole_0(X49) ) ),
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_44])])])])]) ).
cnf(c_0_53,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(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_45,c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_54,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_55,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
cnf(c_0_56,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_52]) ).
cnf(c_0_57,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_31])]) ).
fof(c_0_58,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
fof(c_0_59,plain,
! [X43,X44] :
( m1_subset_1(k8_filter_2(X43,X44),k1_zfmisc_1(u1_struct_0(X43)))
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| ~ l3_lattices(X43)
| ~ v10_lattices(X43)
| v3_struct_0(X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
cnf(c_0_60,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_49])]) ).
fof(c_0_61,plain,
! [X27,X28] :
( k8_filter_2(X27,X28) = X28
| ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
| ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_62,plain,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_63,plain,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
fof(c_0_64,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
cnf(c_0_65,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_31])]) ).
cnf(c_0_67,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_68,plain,
! [X32,X33] :
( m2_filter_2(k14_filter_2(X32,X33),X32)
| ~ m1_filter_0(X33,k1_lattice2(X32))
| ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
fof(c_0_69,plain,
! [X122,X123] :
( k14_filter_2(X122,X123) = k8_filter_2(X122,X123)
| ~ m1_filter_0(X123,k1_lattice2(X122))
| ~ l3_lattices(X122)
| ~ v10_lattices(X122)
| v3_struct_0(X122) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_70,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_71,plain,
! [X25,X26] :
( k7_filter_2(X25,X26) = X26
| ~ m1_subset_1(X26,k1_zfmisc_1(u1_struct_0(X25)))
| ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).
cnf(c_0_72,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_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_65,c_0_66]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_73,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_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_67,c_0_66]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_74,plain,
( ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_76,plain,
! [X124,X125] :
( k15_filter_2(X124,X125) = k7_filter_2(X124,X125)
| ~ m2_filter_2(X125,X124)
| ~ l3_lattices(X124)
| ~ v10_lattices(X124)
| v3_struct_0(X124) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).
cnf(c_0_77,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m2_filter_2(k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_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_74,c_0_57]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_80,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_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_75,c_0_57]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_81,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1)
| v3_struct_0(X1)
| v1_filter_0(esk28_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_82,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
cnf(c_0_83,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k7_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_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_77,c_0_78]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_85,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m2_filter_2(k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v1_filter_0(esk28_2(X1,X2),X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1) ),
inference(cn,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| X1 = k5_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(X1,esk28_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_88,plain,
! [X139,X140] :
( ( ~ l3_lattices(X139)
| ~ v10_lattices(X139)
| v3_struct_0(X139)
| ~ m2_filter_2(X140,X139)
| r2_filter_2(X139,X140)
| ~ v1_filter_0(k15_filter_2(X139,X140),k1_lattice2(X139)) )
& ( ~ l3_lattices(X139)
| ~ v10_lattices(X139)
| v3_struct_0(X139)
| ~ m2_filter_2(X140,X139)
| v1_filter_0(k15_filter_2(X139,X140),k1_lattice2(X139))
| ~ r2_filter_2(X139,X140) ) ),
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_82])])])])]) ).
cnf(c_0_89,negated_conjecture,
( ~ m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_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_83,c_0_84]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_90,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_73]) ).
cnf(c_0_91,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(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_86,c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_92,plain,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| r2_hidden(X1,esk28_2(X2,X1))
| v3_struct_0(X2)
| X1 = k5_lattices(X2) ),
inference(cn,[status(thm)],[c_0_87]) ).
fof(c_0_93,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_94,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| r2_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_54]),c_0_31])]) ).
cnf(c_0_97,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_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_92,c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]) ).
fof(c_0_98,plain,
! [X83] :
( ( ~ l3_lattices(X83)
| v3_struct_0(X83)
| v3_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| v3_struct_0(X83)
| ~ v3_struct_0(k1_lattice2(X83)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
cnf(c_0_99,negated_conjecture,
( ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk2_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_100,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_31]),c_0_32])]),c_0_33]),c_0_90]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_54]),c_0_31])]) ).
cnf(c_0_102,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_103,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_90]),c_0_101]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_31])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT309+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n006.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 23:32:42 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 3.82/1.06 % Version: 3.5.1
% 3.82/1.06 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.82/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.82/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.82/1.06 % Starting new_bool_3 with 300s (1) cores
% 3.82/1.06 % Starting new_bool_1 with 300s (1) cores
% 3.82/1.06 % Starting sh5l with 300s (1) cores
% 3.82/1.06 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1500547 completed with status 0
% 3.82/1.06 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.82/1.06 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.82/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.82/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.82/1.06 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.82/1.06 % No SInE strategy applied
% 3.82/1.06 % Search class: FGHSM-FSLM31-MFFFFFNN
% 3.82/1.06 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 3.82/1.06 % Starting SubtermCWHack with 136s (1) cores
% 3.82/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.82/1.06 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 3.82/1.06 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 3.82/1.06 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.82/1.06 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 1500556 completed with status 0
% 3.82/1.06 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 3.82/1.06 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.82/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.82/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.82/1.06 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.82/1.06 % No SInE strategy applied
% 3.82/1.06 % Search class: FGHSM-FSLM31-MFFFFFNN
% 3.82/1.06 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 3.82/1.06 % Starting SubtermCWHack with 136s (1) cores
% 3.82/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.82/1.06 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 3.82/1.06 % Preprocessing time : 0.003 s
% 3.82/1.06 % Presaturation interreduction done
% 3.82/1.06
% 3.82/1.06 % Proof found!
% 3.82/1.06 % SZS status Theorem
% 3.82/1.06 % SZS output start CNFRefutation
% See solution above
% 3.82/1.06 % Parsed axioms : 96
% 3.82/1.06 % Removed by relevancy pruning/SinE : 0
% 3.82/1.06 % Initial clauses : 193
% 3.82/1.06 % Removed in clause preprocessing : 13
% 3.82/1.06 % Initial clauses in saturation : 180
% 3.82/1.06 % Processed clauses : 4898
% 3.82/1.06 % ...of these trivial : 129
% 3.82/1.06 % ...subsumed : 1444
% 3.82/1.06 % ...remaining for further processing : 3325
% 3.82/1.06 % Other redundant clauses eliminated : 0
% 3.82/1.06 % Clauses deleted for lack of memory : 0
% 3.82/1.06 % Backward-subsumed : 364
% 3.82/1.06 % Backward-rewritten : 650
% 3.82/1.06 % Generated clauses : 7296
% 3.82/1.06 % ...of the previous two non-redundant : 6612
% 3.82/1.06 % ...aggressively subsumed : 0
% 3.82/1.06 % Contextual simplify-reflections : 97
% 3.82/1.06 % Paramodulations : 7287
% 3.82/1.06 % Factorizations : 2
% 3.82/1.06 % NegExts : 0
% 3.82/1.06 % Equation resolutions : 0
% 3.82/1.06 % Disequality decompositions : 0
% 3.82/1.06 % Total rewrite steps : 6402
% 3.82/1.06 % ...of those cached : 5924
% 3.82/1.06 % Propositional unsat checks : 0
% 3.82/1.06 % Propositional check models : 0
% 3.82/1.06 % Propositional check unsatisfiable : 0
% 3.82/1.06 % Propositional clauses : 0
% 3.82/1.06 % Propositional clauses after purity: 0
% 3.82/1.06 % Propositional unsat core size : 0
% 3.82/1.06 % Propositional preprocessing time : 0.000
% 3.82/1.06 % Propositional encoding time : 0.000
% 3.82/1.06 % Propositional solver time : 0.000
% 3.82/1.06 % Success case prop preproc time : 0.000
% 3.82/1.06 % Success case prop encoding time : 0.000
% 3.82/1.06 % Success case prop solver time : 0.000
% 3.82/1.06 % Current number of processed clauses : 2136
% 3.82/1.06 % Positive orientable unit clauses : 619
% 3.82/1.06 % Positive unorientable unit clauses: 0
% 3.82/1.06 % Negative unit clauses : 200
% 3.82/1.06 % Non-unit-clauses : 1317
% 3.82/1.06 % Current number of unprocessed clauses: 2034
% 3.82/1.06 % ...number of literals in the above : 7314
% 3.82/1.06 % Current number of archived formulas : 0
% 3.82/1.06 % Current number of archived clauses : 1189
% 3.82/1.06 % Clause-clause subsumption calls (NU) : 346409
% 3.82/1.06 % Rec. Clause-clause subsumption calls : 196832
% 3.82/1.06 % Non-unit clause-clause subsumptions : 1197
% 3.82/1.06 % Unit Clause-clause subsumption calls : 42275
% 3.82/1.06 % Rewrite failures with RHS unbound : 0
% 3.82/1.06 % BW rewrite match attempts : 1273
% 3.82/1.06 % BW rewrite match successes : 112
% 3.82/1.06 % Condensation attempts : 0
% 3.82/1.06 % Condensation successes : 0
% 3.82/1.06 % Termbank termtop insertions : 156801
% 3.82/1.06 % Search garbage collected termcells : 2087
% 3.82/1.06
% 3.82/1.06 % -------------------------------------------------
% 3.82/1.06 % User time : 0.484 s
% 3.82/1.06 % System time : 0.023 s
% 3.82/1.06 % Total time : 0.507 s
% 3.82/1.06 % Maximum resident set size: 4244 pages
% 3.82/1.06
% 3.82/1.06 % -------------------------------------------------
% 3.82/1.06 % User time : 2.416 s
% 3.82/1.06 % System time : 0.084 s
% 3.82/1.06 % Total time : 2.500 s
% 3.82/1.06 % Maximum resident set size: 4864 pages
% 3.82/1.06 % E exiting
%------------------------------------------------------------------------------