TSTP Solution File: LAT328+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:29:42 EDT 2022
% Result : Theorem 14.07s 3.38s
% Output : CNFRefutation 14.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of clauses : 83 ( 15 unt; 49 nHn; 76 RR)
% Number of literals : 375 ( 42 equ; 236 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 150 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_39,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_39) ).
cnf(i_0_30,plain,
( v3_struct_0(X1)
| m2_lattice4(k22_filter_2(X1,X2,X3),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_30) ).
cnf(i_0_80,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ v4_lattices(X3)
| ~ l2_lattices(X3)
| ~ r1_lattices(X3,X2,X1)
| ~ r1_lattices(X3,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_80) ).
cnf(i_0_74,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_74) ).
cnf(i_0_36,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_36) ).
cnf(i_0_84,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_84) ).
cnf(i_0_87,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k22_filter_2(X1,X4,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_87) ).
cnf(i_0_23,plain,
( X1 = k1_tarski(X2)
| esk4_2(X2,X1) = X2
| r2_hidden(esk4_2(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_23) ).
cnf(i_0_77,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_77) ).
cnf(i_0_45,plain,
m1_subset_1(esk9_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_45) ).
cnf(i_0_13,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_13) ).
cnf(i_0_11,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_11) ).
cnf(i_0_9,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_9) ).
cnf(i_0_8,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_8) ).
cnf(i_0_88,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,k22_filter_2(X1,X2,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_88) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_5) ).
cnf(i_0_24,plain,
( X1 = k1_tarski(X2)
| esk4_2(X2,X1) != X2
| ~ r2_hidden(esk4_2(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_24) ).
cnf(i_0_86,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k22_filter_2(X1,X3,X4))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X3,X4)
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_86) ).
cnf(i_0_33,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_33) ).
cnf(i_0_37,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_37) ).
cnf(i_0_47,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_47) ).
cnf(i_0_1,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_1) ).
cnf(i_0_70,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_70) ).
cnf(i_0_71,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_71) ).
cnf(i_0_32,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5a0w80wq/input.p',i_0_32) ).
cnf(c_0_117,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_39 ).
cnf(c_0_118,plain,
( v3_struct_0(X1)
| m2_lattice4(k22_filter_2(X1,X2,X3),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_30 ).
cnf(c_0_119,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ v4_lattices(X3)
| ~ l2_lattices(X3)
| ~ r1_lattices(X3,X2,X1)
| ~ r1_lattices(X3,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
i_0_80 ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_74 ).
cnf(c_0_121,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_36 ).
cnf(c_0_122,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_84 ).
cnf(c_0_123,plain,
( v3_struct_0(X1)
| m1_subset_1(k22_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ r1_lattices(X3,X1,X2)
| ~ r3_lattices(X3,X2,X1)
| ~ v9_lattices(X3)
| ~ v8_lattices(X3)
| ~ v6_lattices(X3)
| ~ v4_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ l3_lattices(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_125,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k22_filter_2(X1,X4,X3)) ),
i_0_87 ).
cnf(c_0_126,plain,
( X1 = k1_tarski(X2)
| esk4_2(X2,X1) = X2
| r2_hidden(esk4_2(X2,X1),X1) ),
i_0_23 ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k22_filter_2(X1,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_128,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_77 ).
cnf(c_0_129,plain,
m1_subset_1(esk9_1(X1),X1),
i_0_45 ).
cnf(c_0_130,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ r3_lattices(X3,X2,X1)
| ~ r3_lattices(X3,X1,X2)
| ~ v9_lattices(X3)
| ~ v8_lattices(X3)
| ~ v6_lattices(X3)
| ~ v4_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ l3_lattices(X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_120]) ).
cnf(c_0_131,plain,
( esk4_2(X1,k22_filter_2(X2,X3,X4)) = X1
| k22_filter_2(X2,X3,X4) = k1_tarski(X1)
| r3_lattices(X2,esk4_2(X1,k22_filter_2(X2,X3,X4)),X4)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,X4)
| ~ m1_subset_1(esk4_2(X1,k22_filter_2(X2,X3,X4)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,plain,
( esk4_2(X1,k22_filter_2(X2,X3,X4)) = X1
| k22_filter_2(X2,X3,X4) = k1_tarski(X1)
| v3_struct_0(X2)
| m1_subset_1(esk4_2(X1,k22_filter_2(X2,X3,X4)),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_126]) ).
cnf(c_0_133,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_13 ).
cnf(c_0_134,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_11 ).
cnf(c_0_135,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_9 ).
cnf(c_0_136,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_8 ).
cnf(c_0_137,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,k22_filter_2(X1,X2,X4)) ),
i_0_88 ).
cnf(c_0_138,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_139,plain,
( esk4_2(X1,k22_filter_2(X2,X3,X4)) = X1
| esk4_2(X1,k22_filter_2(X2,X3,X4)) = X4
| k22_filter_2(X2,X3,X4) = k1_tarski(X1)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X4,esk4_2(X1,k22_filter_2(X2,X3,X4)))
| ~ r3_lattices(X2,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_133]),c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_140,plain,
( esk4_2(X1,k22_filter_2(X2,X3,X4)) = X1
| k22_filter_2(X2,X3,X4) = k1_tarski(X1)
| r3_lattices(X2,X3,esk4_2(X1,k22_filter_2(X2,X3,X4)))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,X4)
| ~ m1_subset_1(esk4_2(X1,k22_filter_2(X2,X3,X4)),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_137,c_0_126]) ).
cnf(c_0_141,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_136]),c_0_134]),c_0_135]) ).
cnf(c_0_142,plain,
( esk4_2(X1,k22_filter_2(X2,X3,X3)) = X3
| esk4_2(X1,k22_filter_2(X2,X3,X3)) = X1
| k22_filter_2(X2,X3,X3) = k1_tarski(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(esk4_2(X1,k22_filter_2(X2,X3,X3)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_143,plain,
( esk4_2(X1,k22_filter_2(X2,X3,X3)) = X1
| esk4_2(X1,k22_filter_2(X2,X3,X3)) = X3
| k22_filter_2(X2,X3,X3) = k1_tarski(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_132]) ).
cnf(c_0_144,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_2 ).
cnf(c_0_145,negated_conjecture,
l3_lattices(esk1_0),
i_0_3 ).
cnf(c_0_146,negated_conjecture,
v10_lattices(esk1_0),
i_0_4 ).
cnf(c_0_147,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_5 ).
cnf(c_0_148,plain,
( X1 = k1_tarski(X2)
| esk4_2(X2,X1) != X2
| ~ r2_hidden(esk4_2(X2,X1),X1) ),
i_0_24 ).
cnf(c_0_149,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k22_filter_2(X1,X3,X4))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X3,X4)
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_86 ).
cnf(c_0_150,negated_conjecture,
( esk4_2(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) = esk2_0
| esk4_2(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) = X1
| k22_filter_2(esk1_0,esk2_0,esk2_0) = k1_tarski(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146])]),c_0_147]) ).
cnf(c_0_151,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_33 ).
cnf(c_0_152,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_37 ).
cnf(c_0_153,plain,
( k22_filter_2(X1,X2,X3) = k1_tarski(X4)
| v3_struct_0(X1)
| esk4_2(X4,k22_filter_2(X1,X2,X3)) != X4
| ~ r3_lattices(X1,X2,esk4_2(X4,k22_filter_2(X1,X2,X3)))
| ~ r3_lattices(X1,esk4_2(X4,k22_filter_2(X1,X2,X3)),X3)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(esk4_2(X4,k22_filter_2(X1,X2,X3)),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( esk4_2(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) = X1
| k22_filter_2(esk1_0,esk2_0,esk2_0) = k1_tarski(X1)
| esk2_0 != X1 ),
inference(ef,[status(thm)],[c_0_150]) ).
cnf(c_0_155,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_47 ).
cnf(c_0_156,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
i_0_1 ).
cnf(c_0_158,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
i_0_70 ).
cnf(c_0_159,plain,
( k22_filter_2(esk1_0,esk2_0,esk2_0) = k1_tarski(X1)
| esk2_0 != X1
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,X1)
| ~ r3_lattices(esk1_0,X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_144]),c_0_145]),c_0_146])]),c_0_147]) ).
cnf(c_0_160,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_144])]) ).
cnf(c_0_162,plain,
( k22_filter_2(esk1_0,esk2_0,esk2_0) = k1_tarski(esk2_0)
| ~ r3_lattices(esk1_0,esk2_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_159,c_0_141]),c_0_144]),c_0_145]),c_0_146])]),c_0_147]) ).
cnf(c_0_163,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_145]),c_0_147]) ).
cnf(c_0_164,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_71 ).
cnf(c_0_165,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ r1_filter_2(u1_struct_0(esk1_0),k1_tarski(esk2_0),k1_tarski(esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_166,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_164]) ).
cnf(c_0_167,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
i_0_32 ).
cnf(c_0_168,plain,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_163]) ).
cnf(c_0_169,plain,
( m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_167,c_0_158]) ).
cnf(c_0_170,plain,
~ r3_lattices(esk1_0,esk2_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_144])]),c_0_163]) ).
cnf(c_0_171,plain,
$false,
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_170,c_0_141]),c_0_144]),c_0_145]),c_0_146])]),c_0_147]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 13:43:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 14.07/3.38 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.07/3.38 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 52; version: 991; iters: 150)
% 14.07/3.38 # Preprocessing time : 0.852 s
% 14.07/3.38
% 14.07/3.38 # Proof found!
% 14.07/3.38 # SZS status Theorem
% 14.07/3.38 # SZS output start CNFRefutation
% See solution above
% 14.07/3.38 # Training examples: 0 positive, 0 negative
% 14.07/3.38
% 14.07/3.38 # -------------------------------------------------
% 14.07/3.38 # User time : 0.798 s
% 14.07/3.38 # System time : 0.106 s
% 14.07/3.38 # Total time : 0.904 s
% 14.07/3.38 # ...preprocessing : 0.852 s
% 14.07/3.38 # ...main loop : 0.052 s
% 14.07/3.38 # Maximum resident set size: 167444 pages
% 14.07/3.38
%------------------------------------------------------------------------------