TSTP Solution File: LAT300+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 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 : 300s
% DateTime : Mon Mar 25 14:19:04 EDT 2024
% Result : Theorem 19.15s 19.34s
% Output : Proof 19.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 15:31:29 EDT 2024
% 0.13/0.35 % CPUTime :
% 19.15/19.34 % SZS status Theorem for theBenchmark
% 19.15/19.34 % SZS output start Proof for theBenchmark
% 19.15/19.34
% 19.15/19.34 % Formula: t24_filter_2 ( conjecture ) (definitionally) converted to clauses:
% 19.15/19.34 cnf(t24_filter_2-1, negated_conjecture, ( ~v3_struct_0(skolem1) )).
% 19.15/19.34 cnf(t24_filter_2-2, negated_conjecture, ( v10_lattices(skolem1) )).
% 19.15/19.34 cnf(t24_filter_2-3, negated_conjecture, ( l3_lattices(skolem1) )).
% 19.15/19.34 cnf(t24_filter_2-4, negated_conjecture, ( m2_filter_2(skolem2, skolem1) )).
% 19.15/19.34 cnf(t24_filter_2-5, negated_conjecture, ( ~m1_subset_1(_u0, u1_struct_0(skolem1)) | ~r2_hidden(_u0, skolem2) )).
% 19.15/19.34
% 19.15/19.34 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 19.15/19.34 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u4, _u3) | ~r2_hidden(_u3, _u4) )).
% 19.15/19.34
% 19.15/19.34 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(cc1_funct_1-1, axiom, ( ~v1_xboole_0(_u5) | v1_funct_1(_u5) )).
% 19.15/19.34
% 19.15/19.34 % Formula: cc1_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(cc1_lattices-1, axiom, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v4_lattices(_u6) )).
% 19.15/19.34 cnf(cc1_lattices-2, axiom, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v5_lattices(_u6) )).
% 19.15/19.34 cnf(cc1_lattices-3, axiom, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v6_lattices(_u6) )).
% 19.15/19.34 cnf(cc1_lattices-4, axiom, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v7_lattices(_u6) )).
% 19.15/19.34 cnf(cc1_lattices-5, axiom, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v8_lattices(_u6) )).
% 19.15/19.34 cnf(cc1_lattices-6, axiom, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v9_lattices(_u6) )).
% 19.15/19.34
% 19.15/19.34 % Formula: cc2_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(cc2_lattices-1, axiom, ( ~l3_lattices(_u7) | v3_struct_0(_u7) | ~v4_lattices(_u7) | ~v5_lattices(_u7) | ~v6_lattices(_u7) | ~v7_lattices(_u7) | ~v8_lattices(_u7) | ~v9_lattices(_u7) | v10_lattices(_u7) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_k1_xboole_0, axiom, $true).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_k1_zfmisc_1, axiom, $true).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_l1_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_l1_lattices-1, axiom, ( ~l1_lattices(_u8) | l1_struct_0(_u8) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_l1_struct_0, axiom, $true).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_l2_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_l2_lattices-1, axiom, ( ~l2_lattices(_u9) | l1_struct_0(_u9) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_l3_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_l3_lattices-1, axiom, ( ~l3_lattices(_u10) | l1_lattices(_u10) )).
% 19.15/19.34 cnf(dt_l3_lattices-2, axiom, ( ~l3_lattices(_u10) | l2_lattices(_u10) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_m1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_m1_struct_0-1, axiom, ( v3_struct_0(_u13) | ~l1_struct_0(_u13) | v1_xboole_0(_u12) | ~m1_subset_1(_u12, k1_zfmisc_1(u1_struct_0(_u13))) | ~m1_struct_0(_u11, _u13, _u12) | m1_subset_1(_u11, u1_struct_0(_u13)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_m1_subset_1, axiom, $true).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_m2_filter_2 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_m2_filter_2-1, axiom, ( v3_struct_0(_u15) | ~v10_lattices(_u15) | ~l3_lattices(_u15) | ~m2_filter_2(_u14, _u15) | ~v1_xboole_0(_u14) )).
% 19.15/19.34 cnf(dt_m2_filter_2-2, axiom, ( v3_struct_0(_u15) | ~v10_lattices(_u15) | ~l3_lattices(_u15) | ~m2_filter_2(_u14, _u15) | m2_lattice4(_u14, _u15) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_m2_lattice4 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_m2_lattice4-1, axiom, ( v3_struct_0(_u17) | ~v10_lattices(_u17) | ~l3_lattices(_u17) | ~m2_lattice4(_u16, _u17) | m1_subset_1(_u16, k1_zfmisc_1(u1_struct_0(_u17))) )).
% 19.15/19.34
% 19.15/19.34 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(dt_u1_struct_0, axiom, $true).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_l1_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_l1_lattices-1, axiom, ( l1_lattices(skolem3) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem4) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_l2_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_l2_lattices-1, axiom, ( l2_lattices(skolem5) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_l3_lattices ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_l3_lattices-1, axiom, ( l3_lattices(skolem6) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_m1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_m1_struct_0-1, axiom, ( v3_struct_0(_u24) | ~l1_struct_0(_u24) | v1_xboole_0(_u23) | ~m1_subset_1(_u23, k1_zfmisc_1(u1_struct_0(_u24))) | m1_struct_0(skolem7(_u24, _u23), _u24, _u23) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem8(_u26), _u26) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_m2_filter_2 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_m2_filter_2-1, axiom, ( v3_struct_0(_u28) | ~v10_lattices(_u28) | ~l3_lattices(_u28) | m2_filter_2(skolem9(_u28), _u28) )).
% 19.15/19.34
% 19.15/19.34 % Formula: existence_m2_lattice4 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(existence_m2_lattice4-1, axiom, ( v3_struct_0(_u30) | ~v10_lattices(_u30) | ~l3_lattices(_u30) | m2_lattice4(skolem10(_u30), _u30) )).
% 19.15/19.34
% 19.15/19.34 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(fc1_struct_0-1, axiom, ( v3_struct_0(_u31) | ~l1_struct_0(_u31) | ~v1_xboole_0(u1_struct_0(_u31)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u32)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc1_lattice4 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc1_lattice4-1, axiom, ( v3_struct_0(_u34) | ~v10_lattices(_u34) | ~l3_lattices(_u34) | m2_lattice4(skolem11(_u34), _u34) )).
% 19.15/19.34 cnf(rc1_lattice4-2, axiom, ( v3_struct_0(_u34) | ~v10_lattices(_u34) | ~l3_lattices(_u34) | ~v1_xboole_0(skolem11(_u34)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u36) | m1_subset_1(skolem12(_u36), k1_zfmisc_1(_u36)) )).
% 19.15/19.34 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u36) | ~v1_xboole_0(skolem12(_u36)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem13) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem14(_u39), k1_zfmisc_1(_u39)) )).
% 19.15/19.34 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem14(_u39)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem15) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc3_struct_0-1, axiom, ( l1_struct_0(skolem16) )).
% 19.15/19.34 cnf(rc3_struct_0-2, axiom, ( ~v3_struct_0(skolem16) )).
% 19.15/19.34
% 19.15/19.34 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(rc5_struct_0-1, axiom, ( v3_struct_0(_u43) | ~l1_struct_0(_u43) | m1_subset_1(skolem17(_u43), k1_zfmisc_1(u1_struct_0(_u43))) )).
% 19.15/19.34 cnf(rc5_struct_0-2, axiom, ( v3_struct_0(_u43) | ~l1_struct_0(_u43) | ~v1_xboole_0(skolem17(_u43)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: redefinition_m1_struct_0 ( axiom ) converted to clauses:
% 19.15/19.34 cnf(redefinition_m1_struct_0-1, axiom, ( v3_struct_0(_u46) | ~l1_struct_0(_u46) | v1_xboole_0(_u45) | ~m1_subset_1(_u45, k1_zfmisc_1(u1_struct_0(_u46))) | ~m1_struct_0(_u47, _u46, _u45) | m1_subset_1(_u47, _u45) )).
% 19.15/19.34 cnf(redefinition_m1_struct_0-2, axiom, ( v3_struct_0(_u46) | ~l1_struct_0(_u46) | v1_xboole_0(_u45) | ~m1_subset_1(_u45, k1_zfmisc_1(u1_struct_0(_u46))) | ~m1_subset_1(_u48, _u45) | m1_struct_0(_u48, _u46, _u45) )).
% 19.15/19.34
% 19.15/19.34 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 19.15/19.34 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u50, _u50) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t1_subset ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u52, _u51) | m1_subset_1(_u52, _u51) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t2_subset ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u54, _u53) | v1_xboole_0(_u53) | r2_hidden(_u54, _u53) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t3_subset ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u59, k1_zfmisc_1(_u57)) | r1_tarski(_u59, _u57) )).
% 19.15/19.34 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u60, _u58) | m1_subset_1(_u60, k1_zfmisc_1(_u58)) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t4_subset ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u63, _u62) | ~m1_subset_1(_u62, k1_zfmisc_1(_u61)) | m1_subset_1(_u63, _u61) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t5_subset ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u66, _u65) | ~m1_subset_1(_u65, k1_zfmisc_1(_u64)) | ~v1_xboole_0(_u64) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t6_boole ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u67) | ( _u67 = k1_xboole_0) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t7_boole ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u69, _u68) | ~v1_xboole_0(_u68) )).
% 19.15/19.34
% 19.15/19.34 % Formula: t8_boole ( axiom ) converted to clauses:
% 19.15/19.34 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u71) | ( _u71 = _u70) | ~v1_xboole_0(_u70) )).
% 19.15/19.34
% 19.15/19.34 % Problem matrix:
% 19.15/19.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 19.15/19.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 19.15/19.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 19.15/19.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 19.15/19.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 19.15/19.34 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~v3_struct_0(__eqx_0) | v3_struct_0(__eqy_0) )).
% 19.15/19.34 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~v10_lattices(__eqx_0) | v10_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~l3_lattices(__eqx_0) | l3_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m2_filter_2(__eqx_0, __eqx_1) | m2_filter_2(__eqy_0, __eqy_1) )).
% 19.15/19.34 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 19.15/19.34 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 19.15/19.34 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 19.15/19.34 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 19.15/19.34 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v4_lattices(__eqx_0) | v4_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v5_lattices(__eqx_0) | v5_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~v6_lattices(__eqx_0) | v6_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~v7_lattices(__eqx_0) | v7_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~v8_lattices(__eqx_0) | v8_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~v9_lattices(__eqx_0) | v9_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~l1_lattices(__eqx_0) | l1_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 19.15/19.34 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~l2_lattices(__eqx_0) | l2_lattices(__eqy_0) )).
% 19.15/19.34 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m1_struct_0(__eqx_0, __eqx_1, __eqx_2) | m1_struct_0(__eqy_0, __eqy_1, __eqy_2) )).
% 19.15/19.34 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m2_lattice4(__eqx_0, __eqx_1) | m2_lattice4(__eqy_0, __eqy_1) )).
% 19.15/19.34 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 19.15/19.34 cnf(matrix-33, plain, ( ~v3_struct_0(skolem1) )).
% 19.15/19.34 cnf(matrix-34, plain, ( v10_lattices(skolem1) )).
% 19.15/19.34 cnf(matrix-35, plain, ( l3_lattices(skolem1) )).
% 19.15/19.34 cnf(matrix-36, plain, ( m2_filter_2(skolem2, skolem1) )).
% 19.15/19.34 cnf(matrix-37, plain, ( ~m1_subset_1(_u0, u1_struct_0(skolem1)) | ~r2_hidden(_u0, skolem2) )).
% 19.15/19.34 cnf(matrix-38, plain, ( ~r2_hidden(_u4, _u3) | ~r2_hidden(_u3, _u4) )).
% 19.15/19.34 cnf(matrix-39, plain, ( ~v1_xboole_0(_u5) | v1_funct_1(_u5) )).
% 19.15/19.34 cnf(matrix-40, plain, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v4_lattices(_u6) )).
% 19.15/19.34 cnf(matrix-41, plain, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v5_lattices(_u6) )).
% 19.15/19.34 cnf(matrix-42, plain, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v6_lattices(_u6) )).
% 19.15/19.34 cnf(matrix-43, plain, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v7_lattices(_u6) )).
% 19.15/19.34 cnf(matrix-44, plain, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v8_lattices(_u6) )).
% 19.15/19.34 cnf(matrix-45, plain, ( ~l3_lattices(_u6) | v3_struct_0(_u6) | ~v10_lattices(_u6) | v9_lattices(_u6) )).
% 19.15/19.34 cnf(matrix-46, plain, ( ~l3_lattices(_u7) | v3_struct_0(_u7) | ~v4_lattices(_u7) | ~v5_lattices(_u7) | ~v6_lattices(_u7) | ~v7_lattices(_u7) | ~v8_lattices(_u7) | ~v9_lattices(_u7) | v10_lattices(_u7) )).
% 19.15/19.34 cnf(matrix-47, plain, ( ~l1_lattices(_u8) | l1_struct_0(_u8) )).
% 19.15/19.34 cnf(matrix-48, plain, ( ~l2_lattices(_u9) | l1_struct_0(_u9) )).
% 19.15/19.34 cnf(matrix-49, plain, ( ~l3_lattices(_u10) | l1_lattices(_u10) )).
% 19.15/19.34 cnf(matrix-50, plain, ( ~l3_lattices(_u10) | l2_lattices(_u10) )).
% 19.15/19.34 cnf(matrix-51, plain, ( v3_struct_0(_u13) | ~l1_struct_0(_u13) | v1_xboole_0(_u12) | ~m1_subset_1(_u12, k1_zfmisc_1(u1_struct_0(_u13))) | ~m1_struct_0(_u11, _u13, _u12) | m1_subset_1(_u11, u1_struct_0(_u13)) )).
% 19.15/19.34 cnf(matrix-52, plain, ( v3_struct_0(_u15) | ~v10_lattices(_u15) | ~l3_lattices(_u15) | ~m2_filter_2(_u14, _u15) | ~v1_xboole_0(_u14) )).
% 19.15/19.34 cnf(matrix-53, plain, ( v3_struct_0(_u15) | ~v10_lattices(_u15) | ~l3_lattices(_u15) | ~m2_filter_2(_u14, _u15) | m2_lattice4(_u14, _u15) )).
% 19.15/19.34 cnf(matrix-54, plain, ( v3_struct_0(_u17) | ~v10_lattices(_u17) | ~l3_lattices(_u17) | ~m2_lattice4(_u16, _u17) | m1_subset_1(_u16, k1_zfmisc_1(u1_struct_0(_u17))) )).
% 19.15/19.34 cnf(matrix-55, plain, ( l1_lattices(skolem3) )).
% 19.15/19.34 cnf(matrix-56, plain, ( l1_struct_0(skolem4) )).
% 19.15/19.34 cnf(matrix-57, plain, ( l2_lattices(skolem5) )).
% 19.15/19.34 cnf(matrix-58, plain, ( l3_lattices(skolem6) )).
% 19.15/19.34 cnf(matrix-59, plain, ( v3_struct_0(_u24) | ~l1_struct_0(_u24) | v1_xboole_0(_u23) | ~m1_subset_1(_u23, k1_zfmisc_1(u1_struct_0(_u24))) | m1_struct_0(skolem7(_u24, _u23), _u24, _u23) )).
% 19.15/19.34 cnf(matrix-60, plain, ( m1_subset_1(skolem8(_u26), _u26) )).
% 19.15/19.34 cnf(matrix-61, plain, ( v3_struct_0(_u28) | ~v10_lattices(_u28) | ~l3_lattices(_u28) | m2_filter_2(skolem9(_u28), _u28) )).
% 19.15/19.34 cnf(matrix-62, plain, ( v3_struct_0(_u30) | ~v10_lattices(_u30) | ~l3_lattices(_u30) | m2_lattice4(skolem10(_u30), _u30) )).
% 19.15/19.34 cnf(matrix-63, plain, ( v3_struct_0(_u31) | ~l1_struct_0(_u31) | ~v1_xboole_0(u1_struct_0(_u31)) )).
% 19.15/19.34 cnf(matrix-64, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u32)) )).
% 19.15/19.34 cnf(matrix-65, plain, ( v1_xboole_0(k1_xboole_0) )).
% 19.15/19.34 cnf(matrix-66, plain, ( v3_struct_0(_u34) | ~v10_lattices(_u34) | ~l3_lattices(_u34) | m2_lattice4(skolem11(_u34), _u34) )).
% 19.15/19.34 cnf(matrix-67, plain, ( v3_struct_0(_u34) | ~v10_lattices(_u34) | ~l3_lattices(_u34) | ~v1_xboole_0(skolem11(_u34)) )).
% 19.15/19.34 cnf(matrix-68, plain, ( v1_xboole_0(_u36) | m1_subset_1(skolem12(_u36), k1_zfmisc_1(_u36)) )).
% 19.15/19.34 cnf(matrix-69, plain, ( v1_xboole_0(_u36) | ~v1_xboole_0(skolem12(_u36)) )).
% 19.15/19.34 cnf(matrix-70, plain, ( v1_xboole_0(skolem13) )).
% 19.15/19.34 cnf(matrix-71, plain, ( m1_subset_1(skolem14(_u39), k1_zfmisc_1(_u39)) )).
% 19.15/19.34 cnf(matrix-72, plain, ( v1_xboole_0(skolem14(_u39)) )).
% 19.15/19.34 cnf(matrix-73, plain, ( ~v1_xboole_0(skolem15) )).
% 19.15/19.34 cnf(matrix-74, plain, ( l1_struct_0(skolem16) )).
% 19.15/19.34 cnf(matrix-75, plain, ( ~v3_struct_0(skolem16) )).
% 19.15/19.34 cnf(matrix-76, plain, ( v3_struct_0(_u43) | ~l1_struct_0(_u43) | m1_subset_1(skolem17(_u43), k1_zfmisc_1(u1_struct_0(_u43))) )).
% 19.15/19.34 cnf(matrix-77, plain, ( v3_struct_0(_u43) | ~l1_struct_0(_u43) | ~v1_xboole_0(skolem17(_u43)) )).
% 19.15/19.34 cnf(matrix-78, plain, ( v3_struct_0(_u46) | ~l1_struct_0(_u46) | v1_xboole_0(_u45) | ~m1_subset_1(_u45, k1_zfmisc_1(u1_struct_0(_u46))) | ~m1_struct_0(_u47, _u46, _u45) | m1_subset_1(_u47, _u45) )).
% 19.15/19.34 cnf(matrix-79, plain, ( v3_struct_0(_u46) | ~l1_struct_0(_u46) | v1_xboole_0(_u45) | ~m1_subset_1(_u45, k1_zfmisc_1(u1_struct_0(_u46))) | ~m1_subset_1(_u48, _u45) | m1_struct_0(_u48, _u46, _u45) )).
% 19.15/19.34 cnf(matrix-80, plain, ( r1_tarski(_u50, _u50) )).
% 19.15/19.34 cnf(matrix-81, plain, ( ~r2_hidden(_u52, _u51) | m1_subset_1(_u52, _u51) )).
% 19.15/19.34 cnf(matrix-82, plain, ( ~m1_subset_1(_u54, _u53) | v1_xboole_0(_u53) | r2_hidden(_u54, _u53) )).
% 19.15/19.34 cnf(matrix-83, plain, ( ~m1_subset_1(_u59, k1_zfmisc_1(_u57)) | r1_tarski(_u59, _u57) )).
% 19.15/19.34 cnf(matrix-84, plain, ( ~r1_tarski(_u60, _u58) | m1_subset_1(_u60, k1_zfmisc_1(_u58)) )).
% 19.15/19.34 cnf(matrix-85, plain, ( ~r2_hidden(_u63, _u62) | ~m1_subset_1(_u62, k1_zfmisc_1(_u61)) | m1_subset_1(_u63, _u61) )).
% 19.15/19.34 cnf(matrix-86, plain, ( ~r2_hidden(_u66, _u65) | ~m1_subset_1(_u65, k1_zfmisc_1(_u64)) | ~v1_xboole_0(_u64) )).
% 19.15/19.34 cnf(matrix-87, plain, ( ~v1_xboole_0(_u67) | ( _u67 = k1_xboole_0) )).
% 19.15/19.34 cnf(matrix-88, plain, ( ~r2_hidden(_u69, _u68) | ~v1_xboole_0(_u68) )).
% 19.15/19.34 cnf(matrix-89, plain, ( ~v1_xboole_0(_u71) | ( _u71 = _u70) | ~v1_xboole_0(_u70) )).
% 19.15/19.34
% 19.15/19.34 % Proof stack:
% 19.15/19.34 cnf(proof-stack, plain,
% 19.15/19.34 proof_stack(
% 19.15/19.34 start(36),
% 19.15/19.34 left_branch(0, 52, 3, 2),
% 19.15/19.34 left_branch(0, 33, 0, 3),
% 19.15/19.34 right_branch(3),
% 19.15/19.34 left_branch(0, 82, 1, 4),
% 19.15/19.34 left_branch(0, 60, 0, 5),
% 19.15/19.34 right_branch(5),
% 19.15/19.34 left_branch(0, 85, 0, 6),
% 19.15/19.34 left_branch(0, 37, 0, 7),
% 19.15/19.34 reduction(0, 2),
% 19.15/19.34 right_branch(7),
% 19.15/19.34 left_branch(0, 54, 4, 8),
% 19.15/19.34 lemmata(0, 0),
% 19.15/19.34 left_branch(0, 53, 4, 10),
% 19.15/19.34 lemmata(0, 0),
% 19.15/19.34 reduction(0, 0),
% 19.15/19.34 left_branch(0, 35, 0, 13),
% 19.15/19.34 right_branch(13),
% 19.15/19.34 left_branch(0, 34, 0, 14),
% 19.15/19.34 right_branch(14),
% 19.15/19.34 right_branch(10),
% 19.15/19.34 left_branch(0, 35, 0, 11),
% 19.15/19.34 right_branch(11),
% 19.15/19.34 left_branch(0, 34, 0, 12),
% 19.15/19.34 right_branch(12),
% 19.15/19.34 right_branch(8),
% 19.15/19.34 right_branch(6),
% 19.15/19.34 right_branch(4),
% 19.15/19.34 left_branch(0, 35, 0, 5),
% 19.15/19.34 right_branch(5),
% 19.15/19.34 left_branch(0, 34, 0, 6),
% 19.15/19.34 right_branch(6),
% 19.15/19.34 right_branch(2)
% 19.15/19.34 )).
% 19.15/19.34 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------