%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT338+1 : 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 : n017.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 04:38:11 PM UTC 2026
% Result : Theorem 82.10s 51.28s
% Output : CNFRefutation 82.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 133 ( 37 unt; 0 def)
% Number of atoms : 444 ( 48 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 506 ( 195 ~; 201 |; 78 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 175 ( 31 sgn 80 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k10_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k10_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(t4_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_conlat_2) ).
fof(dt_k9_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k9_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
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/theBenchmark.p',redefinition_m2_relset_1) ).
fof(d23_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(dt_k15_lattice3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(dt_k16_lattice3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(t35_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( r2_hidden(X2,k8_conlat_1(X1))
<=> ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_conlat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k10_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k10_conlat_1]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_conlat_2])]) ).
fof(c_0_21,plain,
! [X211] :
( ( v1_funct_1(k10_conlat_1(X211))
| v3_conlat_1(X211)
| ~ l2_conlat_1(X211) )
& ( v1_funct_2(k10_conlat_1(X211),k2_zfmisc_1(k8_conlat_1(X211),k8_conlat_1(X211)),k8_conlat_1(X211))
| v3_conlat_1(X211)
| ~ l2_conlat_1(X211) )
& ( m2_relset_1(k10_conlat_1(X211),k2_zfmisc_1(k8_conlat_1(X211),k8_conlat_1(X211)),k8_conlat_1(X211))
| v3_conlat_1(X211)
| ~ l2_conlat_1(X211) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_22,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k11_conlat_1(esk1_0))))
& ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k9_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_1]) ).
fof(c_0_24,plain,
! [X322,X323,X324] :
( ( ~ m2_relset_1(X324,X322,X323)
| m1_relset_1(X324,X322,X323) )
& ( ~ m1_relset_1(X324,X322,X323)
| m2_relset_1(X324,X322,X323) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_25,plain,
( m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
inference(fof_simplification,[status(thm)],[d23_conlat_1]) ).
fof(c_0_29,plain,
! [X219] :
( ( v1_funct_1(k9_conlat_1(X219))
| v3_conlat_1(X219)
| ~ l2_conlat_1(X219) )
& ( v1_funct_2(k9_conlat_1(X219),k2_zfmisc_1(k8_conlat_1(X219),k8_conlat_1(X219)),k8_conlat_1(X219))
| v3_conlat_1(X219)
| ~ l2_conlat_1(X219) )
& ( m2_relset_1(k9_conlat_1(X219),k2_zfmisc_1(k8_conlat_1(X219),k8_conlat_1(X219)),k8_conlat_1(X219))
| v3_conlat_1(X219)
| ~ l2_conlat_1(X219) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_30,plain,
! [X282,X283,X284,X285,X286,X287] :
( ( X282 = X285
| g3_lattices(X282,X283,X284) != g3_lattices(X285,X286,X287)
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,k2_zfmisc_1(X282,X282),X282)
| ~ m1_relset_1(X283,k2_zfmisc_1(X282,X282),X282)
| ~ v1_funct_1(X284)
| ~ v1_funct_2(X284,k2_zfmisc_1(X282,X282),X282)
| ~ m1_relset_1(X284,k2_zfmisc_1(X282,X282),X282) )
& ( X283 = X286
| g3_lattices(X282,X283,X284) != g3_lattices(X285,X286,X287)
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,k2_zfmisc_1(X282,X282),X282)
| ~ m1_relset_1(X283,k2_zfmisc_1(X282,X282),X282)
| ~ v1_funct_1(X284)
| ~ v1_funct_2(X284,k2_zfmisc_1(X282,X282),X282)
| ~ m1_relset_1(X284,k2_zfmisc_1(X282,X282),X282) )
& ( X284 = X287
| g3_lattices(X282,X283,X284) != g3_lattices(X285,X286,X287)
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,k2_zfmisc_1(X282,X282),X282)
| ~ m1_relset_1(X283,k2_zfmisc_1(X282,X282),X282)
| ~ v1_funct_1(X284)
| ~ v1_funct_2(X284,k2_zfmisc_1(X282,X282),X282)
| ~ m1_relset_1(X284,k2_zfmisc_1(X282,X282),X282) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
cnf(c_0_31,plain,
( v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( v1_funct_1(k10_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
m2_relset_1(k10_conlat_1(esk1_0),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
fof(c_0_35,plain,
! [X204] :
( v3_conlat_1(X204)
| ~ l2_conlat_1(X204)
| k11_conlat_1(X204) = g3_lattices(k8_conlat_1(X204),k10_conlat_1(X204),k9_conlat_1(X204)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
cnf(c_0_36,plain,
( m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_37,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_conlat_1]) ).
cnf(c_0_38,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
v1_funct_2(k10_conlat_1(esk1_0),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_27]) ).
cnf(c_0_40,negated_conjecture,
v1_funct_1(k10_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_27]) ).
cnf(c_0_41,negated_conjecture,
m1_relset_1(k10_conlat_1(esk1_0),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
( v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
( v3_conlat_1(X1)
| k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( v1_funct_1(k9_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,negated_conjecture,
m2_relset_1(k9_conlat_1(esk1_0),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_27]) ).
fof(c_0_46,plain,
! [X212] :
( ( ~ v3_struct_0(k11_conlat_1(X212))
| v3_conlat_1(X212)
| ~ l2_conlat_1(X212) )
& ( v3_lattices(k11_conlat_1(X212))
| v3_conlat_1(X212)
| ~ l2_conlat_1(X212) )
& ( l3_lattices(k11_conlat_1(X212))
| v3_conlat_1(X212)
| ~ l2_conlat_1(X212) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_47,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
cnf(c_0_48,negated_conjecture,
( X1 = X2
| g3_lattices(k8_conlat_1(esk1_0),k10_conlat_1(esk1_0),X1) != g3_lattices(X3,X4,X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),c_0_41])]) ).
cnf(c_0_49,negated_conjecture,
v1_funct_2(k9_conlat_1(esk1_0),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_26]),c_0_27]) ).
cnf(c_0_50,negated_conjecture,
g3_lattices(k8_conlat_1(esk1_0),k10_conlat_1(esk1_0),k9_conlat_1(esk1_0)) = k11_conlat_1(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_27]) ).
cnf(c_0_51,negated_conjecture,
v1_funct_1(k9_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_26]),c_0_27]) ).
cnf(c_0_52,negated_conjecture,
m1_relset_1(k9_conlat_1(esk1_0),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
fof(c_0_53,plain,
! [X179] :
( ~ l3_lattices(X179)
| ~ v3_lattices(X179)
| X179 = g3_lattices(u1_struct_0(X179),u2_lattices(X179),u1_lattices(X179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_54,plain,
( v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
( l3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_56,plain,
! [X313] :
( ( m1_subset_1(esk29_1(X313),k1_zfmisc_1(u1_struct_0(X313)))
| v3_struct_0(X313)
| ~ l1_struct_0(X313) )
& ( ~ v1_xboole_0(esk29_1(X313))
| v3_struct_0(X313)
| ~ l1_struct_0(X313) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_57,plain,
! [X220] :
( ~ l1_lattices(X220)
| l1_struct_0(X220) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_58,negated_conjecture,
( k9_conlat_1(esk1_0) = X1
| k11_conlat_1(esk1_0) != g3_lattices(X2,X3,X1) ),
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_49]),c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_59,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
v3_lattices(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_26]),c_0_27]) ).
cnf(c_0_61,negated_conjecture,
l3_lattices(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_26]),c_0_27]) ).
cnf(c_0_62,plain,
( m1_subset_1(esk29_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_64,plain,
! [X223] :
( ( l1_lattices(X223)
| ~ l3_lattices(X223) )
& ( l2_lattices(X223)
| ~ l3_lattices(X223) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_65,negated_conjecture,
k9_conlat_1(esk1_0) = u1_lattices(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59])]),c_0_60]),c_0_61])]) ).
cnf(c_0_66,plain,
( v3_struct_0(X1)
| m1_subset_1(esk29_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
( v3_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_69,plain,
! [X344,X345] :
( ~ r2_hidden(X344,X345)
| ~ v1_xboole_0(X345) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_70,plain,
! [X330,X331] :
( ( ~ r2_hidden(esk34_2(X330,X331),X330)
| ~ r2_hidden(esk34_2(X330,X331),X331)
| X330 = X331 )
& ( r2_hidden(esk34_2(X330,X331),X330)
| r2_hidden(esk34_2(X330,X331),X331)
| X330 = X331 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(c_0_71,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_72,negated_conjecture,
v1_funct_2(u1_lattices(k11_conlat_1(esk1_0)),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_49,c_0_65]) ).
cnf(c_0_73,negated_conjecture,
v1_funct_1(u1_lattices(k11_conlat_1(esk1_0))),
inference(rw,[status(thm)],[c_0_51,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
m1_relset_1(u1_lattices(k11_conlat_1(esk1_0)),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_52,c_0_65]) ).
fof(c_0_75,plain,
! [X340,X341,X342] :
( ~ r2_hidden(X340,X341)
| ~ m1_subset_1(X341,k1_zfmisc_1(X342))
| ~ v1_xboole_0(X342) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| m1_subset_1(esk29_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
~ v3_struct_0(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_68]),c_0_26])]) ).
cnf(c_0_78,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
( r2_hidden(esk34_2(X1,X2),X1)
| r2_hidden(esk34_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_80,negated_conjecture,
( X1 = X2
| g3_lattices(k8_conlat_1(esk1_0),X1,u1_lattices(k11_conlat_1(esk1_0))) != g3_lattices(X3,X2,X4)
| ~ v1_funct_2(X1,k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]) ).
cnf(c_0_81,negated_conjecture,
g3_lattices(k8_conlat_1(esk1_0),k10_conlat_1(esk1_0),u1_lattices(k11_conlat_1(esk1_0))) = k11_conlat_1(esk1_0),
inference(rw,[status(thm)],[c_0_50,c_0_65]) ).
cnf(c_0_82,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
m1_subset_1(esk29_1(k11_conlat_1(esk1_0)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_61]),c_0_77]) ).
cnf(c_0_84,plain,
( X1 = X2
| r2_hidden(esk34_2(X1,X2),X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_86,negated_conjecture,
( k10_conlat_1(esk1_0) = X1
| k11_conlat_1(esk1_0) != g3_lattices(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_39]),c_0_81]),c_0_40]),c_0_41])]) ).
fof(c_0_87,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_lattice3]) ).
cnf(c_0_88,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| ~ r2_hidden(X1,esk29_1(k11_conlat_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
( k1_xboole_0 = X1
| r2_hidden(esk34_2(k1_xboole_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_90,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k16_lattice3]) ).
cnf(c_0_91,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_92,negated_conjecture,
k10_conlat_1(esk1_0) = u2_lattices(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_59])]),c_0_60]),c_0_61])]) ).
fof(c_0_93,plain,
! [X213,X214] :
( v3_struct_0(X213)
| ~ l3_lattices(X213)
| m1_subset_1(k15_lattice3(X213,X214),u1_struct_0(X213)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).
cnf(c_0_94,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk29_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_95,negated_conjecture,
( esk29_1(k11_conlat_1(esk1_0)) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_96,plain,
! [X215,X216] :
( v3_struct_0(X215)
| ~ l3_lattices(X215)
| m1_subset_1(k16_lattice3(X215,X216),u1_struct_0(X215)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])]) ).
fof(c_0_97,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( r2_hidden(X2,k8_conlat_1(X1))
<=> ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t35_conlat_1]) ).
cnf(c_0_98,negated_conjecture,
( k8_conlat_1(esk1_0) = X1
| g3_lattices(k8_conlat_1(esk1_0),X2,u1_lattices(k11_conlat_1(esk1_0))) != g3_lattices(X1,X3,X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_72]),c_0_73]),c_0_74])]) ).
cnf(c_0_99,negated_conjecture,
v1_funct_2(u2_lattices(k11_conlat_1(esk1_0)),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_39,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
g3_lattices(k8_conlat_1(esk1_0),u2_lattices(k11_conlat_1(esk1_0)),u1_lattices(k11_conlat_1(esk1_0))) = k11_conlat_1(esk1_0),
inference(rw,[status(thm)],[c_0_81,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
v1_funct_1(u2_lattices(k11_conlat_1(esk1_0))),
inference(rw,[status(thm)],[c_0_40,c_0_92]) ).
cnf(c_0_102,negated_conjecture,
m1_relset_1(u2_lattices(k11_conlat_1(esk1_0)),k2_zfmisc_1(k8_conlat_1(esk1_0),k8_conlat_1(esk1_0)),k8_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_41,c_0_92]) ).
fof(c_0_103,plain,
! [X328,X329] :
( ~ m1_subset_1(X328,X329)
| v1_xboole_0(X329)
| r2_hidden(X328,X329) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_104,plain,
( v3_struct_0(X1)
| m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_105,negated_conjecture,
( ~ l1_struct_0(k11_conlat_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_85])]),c_0_77]) ).
cnf(c_0_106,plain,
( v3_struct_0(X1)
| m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_107,plain,
! [X333,X334] :
( ( v6_conlat_1(X334,X333)
| ~ r2_hidden(X334,k8_conlat_1(X333))
| v3_conlat_1(X333)
| ~ l2_conlat_1(X333) )
& ( ~ v7_conlat_1(X334,X333)
| ~ r2_hidden(X334,k8_conlat_1(X333))
| v3_conlat_1(X333)
| ~ l2_conlat_1(X333) )
& ( v9_conlat_1(X334,X333)
| ~ r2_hidden(X334,k8_conlat_1(X333))
| v3_conlat_1(X333)
| ~ l2_conlat_1(X333) )
& ( l3_conlat_1(X334,X333)
| ~ r2_hidden(X334,k8_conlat_1(X333))
| v3_conlat_1(X333)
| ~ l2_conlat_1(X333) )
& ( ~ v6_conlat_1(X334,X333)
| v7_conlat_1(X334,X333)
| ~ v9_conlat_1(X334,X333)
| ~ l3_conlat_1(X334,X333)
| r2_hidden(X334,k8_conlat_1(X333))
| v3_conlat_1(X333)
| ~ l2_conlat_1(X333) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])]) ).
cnf(c_0_108,negated_conjecture,
( k8_conlat_1(esk1_0) = X1
| k11_conlat_1(esk1_0) != g3_lattices(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_109,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_110,negated_conjecture,
m1_subset_1(k15_lattice3(k11_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_61]),c_0_77]) ).
cnf(c_0_111,negated_conjecture,
( ~ l1_lattices(k11_conlat_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_105,c_0_63]) ).
cnf(c_0_112,negated_conjecture,
m1_subset_1(k16_lattice3(k11_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_61]),c_0_77]) ).
cnf(c_0_113,plain,
( l3_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_114,negated_conjecture,
k8_conlat_1(esk1_0) = u1_struct_0(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_59])]),c_0_60]),c_0_61])]) ).
cnf(c_0_115,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_67]),c_0_61])]) ).
cnf(c_0_117,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_109,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( l3_conlat_1(X1,esk1_0)
| ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_26])]),c_0_27]) ).
cnf(c_0_119,negated_conjecture,
r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[c_0_117,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_122,negated_conjecture,
l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),X1),esk1_0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),X1),esk1_0),
inference(spm,[status(thm)],[c_0_118,c_0_120]) ).
cnf(c_0_124,plain,
( v9_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_125,negated_conjecture,
( v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]),c_0_123])]) ).
cnf(c_0_126,negated_conjecture,
( v9_conlat_1(X1,esk1_0)
| ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_114]),c_0_26])]),c_0_27]) ).
cnf(c_0_127,plain,
( v3_conlat_1(X2)
| ~ v7_conlat_1(X1,X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_128,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_120])]) ).
cnf(c_0_129,negated_conjecture,
( ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v7_conlat_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_114]),c_0_26])]),c_0_27]) ).
cnf(c_0_130,negated_conjecture,
( v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_119])]) ).
cnf(c_0_131,negated_conjecture,
v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_119])]) ).
cnf(c_0_132,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_131]),c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT338+1 : 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
% 0.15/0.32 % Computer : n017.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 21:23:42 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 82.10/51.28 % Version : CSE_E---1.7
% 82.10/51.28 % Problem : theBenchmark.p
% 82.10/51.28 % SZS status Theorem for theBenchmark.p
% 82.10/51.28 % SZS output start CNFRefutation
% See solution above
% 82.41/51.54 % Total time : 41.258s
%------------------------------------------------------------------------------