%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT295+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:37:57 PM UTC 2026
% Result : Theorem 2.38s 2.05s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 103 ( 15 unt; 0 def)
% Number of atoms : 457 ( 108 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 602 ( 248 ~; 235 |; 67 &)
% ( 3 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 196 ( 24 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
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(t8_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_filter_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
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(d2_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattices) ).
fof(redefinition_k2_binop_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& m1_subset_1(X5,X1)
& m1_subset_1(X6,X2) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(d1_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(d3_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(c_0_13,plain,
! [X239,X240,X241] :
( ( ~ m2_relset_1(X241,X239,X240)
| m1_relset_1(X241,X239,X240) )
& ( ~ m1_relset_1(X241,X239,X240)
| m2_relset_1(X241,X239,X240) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_14,plain,
! [X187] :
( ( v1_funct_1(u2_lattices(X187))
| ~ l2_lattices(X187) )
& ( v1_funct_2(u2_lattices(X187),k2_zfmisc_1(u1_struct_0(X187),u1_struct_0(X187)),u1_struct_0(X187))
| ~ l2_lattices(X187) )
& ( m2_relset_1(u2_lattices(X187),k2_zfmisc_1(u1_struct_0(X187),u1_struct_0(X187)),u1_struct_0(X187))
| ~ l2_lattices(X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_15,plain,
! [X186] :
( ( v1_funct_1(u1_lattices(X186))
| ~ l1_lattices(X186) )
& ( v1_funct_2(u1_lattices(X186),k2_zfmisc_1(u1_struct_0(X186),u1_struct_0(X186)),u1_struct_0(X186))
| ~ l1_lattices(X186) )
& ( m2_relset_1(u1_lattices(X186),k2_zfmisc_1(u1_struct_0(X186),u1_struct_0(X186)),u1_struct_0(X186))
| ~ l1_lattices(X186) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
fof(c_0_16,plain,
! [X211,X212,X213,X214,X215,X216] :
( ( X211 = X214
| g3_lattices(X211,X212,X213) != g3_lattices(X214,X215,X216)
| ~ v1_funct_1(X212)
| ~ v1_funct_2(X212,k2_zfmisc_1(X211,X211),X211)
| ~ m1_relset_1(X212,k2_zfmisc_1(X211,X211),X211)
| ~ v1_funct_1(X213)
| ~ v1_funct_2(X213,k2_zfmisc_1(X211,X211),X211)
| ~ m1_relset_1(X213,k2_zfmisc_1(X211,X211),X211) )
& ( X212 = X215
| g3_lattices(X211,X212,X213) != g3_lattices(X214,X215,X216)
| ~ v1_funct_1(X212)
| ~ v1_funct_2(X212,k2_zfmisc_1(X211,X211),X211)
| ~ m1_relset_1(X212,k2_zfmisc_1(X211,X211),X211)
| ~ v1_funct_1(X213)
| ~ v1_funct_2(X213,k2_zfmisc_1(X211,X211),X211)
| ~ m1_relset_1(X213,k2_zfmisc_1(X211,X211),X211) )
& ( X213 = X216
| g3_lattices(X211,X212,X213) != g3_lattices(X214,X215,X216)
| ~ v1_funct_1(X212)
| ~ v1_funct_2(X212,k2_zfmisc_1(X211,X211),X211)
| ~ m1_relset_1(X212,k2_zfmisc_1(X211,X211),X211)
| ~ v1_funct_1(X213)
| ~ v1_funct_2(X213,k2_zfmisc_1(X211,X211),X211)
| ~ m1_relset_1(X213,k2_zfmisc_1(X211,X211),X211) ) ),
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_17,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_filter_2])]) ).
cnf(c_0_20,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_22,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_16]) ).
cnf(c_0_23,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_26,plain,
! [X182] :
( ( l1_lattices(X182)
| ~ l3_lattices(X182) )
& ( l2_lattices(X182)
| ~ l3_lattices(X182) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_27,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(esk2_0)
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk5_0,u1_struct_0(esk2_0))
& m1_subset_1(esk6_0,u1_struct_0(esk2_0))
& esk3_0 = esk5_0
& esk4_0 = esk6_0
& ( r1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_28,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_16]) ).
cnf(c_0_29,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
fof(c_0_32,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[d2_lattices]) ).
fof(c_0_33,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& m1_subset_1(X5,X1)
& m1_subset_1(X6,X2) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_binop_1]) ).
fof(c_0_34,plain,
! [X200] :
( v3_struct_0(X200)
| ~ l1_struct_0(X200)
| ~ v1_xboole_0(u1_struct_0(X200)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_35,plain,
! [X180] :
( ~ l1_lattices(X180)
| l1_struct_0(X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_36,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ l2_lattices(X3)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_37,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).
fof(c_0_40,plain,
! [X157,X158,X159] :
( v3_struct_0(X157)
| ~ l1_lattices(X157)
| ~ m1_subset_1(X158,u1_struct_0(X157))
| ~ m1_subset_1(X159,u1_struct_0(X157))
| k2_lattices(X157,X158,X159) = k2_binop_1(u1_struct_0(X157),u1_struct_0(X157),u1_struct_0(X157),u1_lattices(X157),X158,X159) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_41,plain,
! [X233,X234,X235,X236,X237,X238] :
( v1_xboole_0(X233)
| v1_xboole_0(X234)
| ~ v1_funct_1(X236)
| ~ v1_funct_2(X236,k2_zfmisc_1(X233,X234),X235)
| ~ m1_relset_1(X236,k2_zfmisc_1(X233,X234),X235)
| ~ m1_subset_1(X237,X233)
| ~ m1_subset_1(X238,X234)
| k2_binop_1(X233,X234,X235,X236,X237,X238) = k1_binop_1(X236,X237,X238) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_45,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_46,negated_conjecture,
l2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| k2_binop_1(X1,X2,X4,X3,X5,X6) = k1_binop_1(X3,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_52,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X1,X2,X3)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_46])]) ).
cnf(c_0_53,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_16]) ).
cnf(c_0_54,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_30]),c_0_29]),c_0_31]),c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( u1_lattices(esk2_0) = u1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_57,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[d1_lattices]) ).
fof(c_0_60,plain,
! [X181] :
( ~ l2_lattices(X181)
| l1_struct_0(X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])]) ).
cnf(c_0_61,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),X1,u1_lattices(X3)) != g3_lattices(X4,X2,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ l1_lattices(X3)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_62,negated_conjecture,
( k1_binop_1(u1_lattices(esk1_0),X1,X2) = k2_lattices(esk2_0,X1,X2)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_63,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_38])]) ).
fof(c_0_64,plain,
! [X154,X155,X156] :
( v3_struct_0(X154)
| ~ l2_lattices(X154)
| ~ m1_subset_1(X155,u1_struct_0(X154))
| ~ m1_subset_1(X156,u1_struct_0(X154))
| k1_lattices(X154,X155,X156) = k2_binop_1(u1_struct_0(X154),u1_struct_0(X154),u1_struct_0(X154),u2_lattices(X154),X155,X156) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
cnf(c_0_65,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_67,negated_conjecture,
( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_68,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_69,negated_conjecture,
esk4_0 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_70,negated_conjecture,
( k1_binop_1(u1_lattices(esk1_0),X1,X2) = k2_lattices(esk2_0,X1,X2)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_63]) ).
cnf(c_0_71,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_72,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_73,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_lattices]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
( u2_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_45]),c_0_46])]) ).
cnf(c_0_77,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_68]),c_0_69]),c_0_69]),c_0_68]) ).
cnf(c_0_78,negated_conjecture,
( k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_70]),c_0_71]) ).
cnf(c_0_79,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_72,c_0_69]) ).
cnf(c_0_80,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_81,plain,
! [X160,X161,X162] :
( ( ~ r1_lattices(X160,X161,X162)
| k1_lattices(X160,X161,X162) = X162
| ~ m1_subset_1(X162,u1_struct_0(X160))
| ~ m1_subset_1(X161,u1_struct_0(X160))
| v3_struct_0(X160)
| ~ l2_lattices(X160) )
& ( k1_lattices(X160,X161,X162) != X162
| r1_lattices(X160,X161,X162)
| ~ m1_subset_1(X162,u1_struct_0(X160))
| ~ m1_subset_1(X161,u1_struct_0(X160))
| v3_struct_0(X160)
| ~ l2_lattices(X160) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
cnf(c_0_82,plain,
( k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_49]),c_0_24]),c_0_23]),c_0_25]),c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( r1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_85,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]) ).
cnf(c_0_86,plain,
( r1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| k1_lattices(X1,X2,X3) != X3
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_88,negated_conjecture,
( k1_binop_1(u2_lattices(esk1_0),X1,X2) = k1_lattices(esk2_0,X1,X2)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_46])]),c_0_56]) ).
cnf(c_0_89,negated_conjecture,
( r1_lattices(esk2_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_69]),c_0_68]),c_0_68]),c_0_69]),c_0_68]),c_0_69]) ).
cnf(c_0_90,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_46]),c_0_63]),c_0_79]),c_0_63]),c_0_80])]),c_0_56]) ).
cnf(c_0_91,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_37,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( k1_binop_1(u2_lattices(esk1_0),X1,X2) = k1_lattices(esk2_0,X1,X2)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_63]),c_0_63]) ).
cnf(c_0_93,plain,
( k1_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_94,negated_conjecture,
( r1_lattices(esk2_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_78]),c_0_79]),c_0_80])]) ).
cnf(c_0_95,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(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_90,c_0_86]),c_0_91]),c_0_79]),c_0_80])]),c_0_71]) ).
cnf(c_0_96,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_92]),c_0_91])]),c_0_71]) ).
cnf(c_0_97,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_46]),c_0_63]),c_0_79]),c_0_63]),c_0_80])]),c_0_56]) ).
cnf(c_0_98,negated_conjecture,
( k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_79]),c_0_80])]) ).
cnf(c_0_99,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(csr,[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_93,c_0_97]),c_0_91]),c_0_79]),c_0_80])]),c_0_71]),c_0_98]) ).
cnf(c_0_100,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_96]),c_0_79]),c_0_80])]),c_0_98]) ).
cnf(c_0_101,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_58]),c_0_38])]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_58]),c_0_87])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT295+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
% 0.16/0.33 % Computer : n013.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 21:03:41 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 2.38/2.05 % Version : CSE_E---1.7
% 2.38/2.05 % Problem : theBenchmark.p
% 2.38/2.05 % SZS status Theorem for theBenchmark.p
% 2.38/2.05 % SZS output start CNFRefutation
% See solution above
% 2.38/2.06 % Total time : 1.372s
%------------------------------------------------------------------------------