TSTP Solution File: SEU177+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n027.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 14:33:27 EDT 2024
% Result : Theorem 10.98s 11.14s
% Output : Proof 10.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n027.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 15:41:30 EDT 2024
% 0.13/0.34 % CPUTime :
% 10.98/11.14 % SZS status Theorem for theBenchmark
% 10.98/11.14 % SZS output start Proof for theBenchmark
% 10.98/11.14
% 10.98/11.14 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 10.98/11.14 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 10.98/11.14
% 10.98/11.14 % Formula: antisymmetry_r2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(antisymmetry_r2_xboole_0-1, axiom, ( ~proper_subset(_u3, _u2) | ~proper_subset(_u2, _u3) )).
% 10.98/11.14
% 10.98/11.14 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u5, _u4) = unordered_pair(_u4, _u5)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u7, _u6) = set_union2(_u6, _u7)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u9, _u8) = set_intersection2(_u8, _u9)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d10_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d10_xboole_0-1, axiom, ( ( _u14 != _u12) | subset(_u14, _u12) )).
% 10.98/11.14 cnf(d10_xboole_0-2, axiom, ( ( _u14 != _u12) | subset(_u12, _u14) )).
% 10.98/11.14 cnf(d10_xboole_0-3, axiom, ( ~subset(_u15, _u13) | ~subset(_u13, _u15) | ( _u15 = _u13) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d1_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d1_setfam_1-1, axiom, ( ( _u34 = empty_set) | ( _u30 != set_meet(_u34)) | ~in(_u24, _u30) | ~in(_u16, _u34) | in(_u24, _u16) )).
% 10.98/11.14 cnf(d1_setfam_1-2, axiom, ( ( _u34 = empty_set) | ( _u30 != set_meet(_u34)) | in(_u25, _u30) | in(skolem1(_u34, _u30, _u25), _u34) )).
% 10.98/11.14 cnf(d1_setfam_1-3, axiom, ( ( _u34 = empty_set) | ( _u30 != set_meet(_u34)) | in(_u25, _u30) | ~in(_u25, skolem1(_u34, _u30, _u25)) )).
% 10.98/11.14 cnf(d1_setfam_1-4, axiom, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | in(skolem2(_u34, _u31), _u31) | ~in(_u20, _u34) | in(skolem4(_u34, _u31), _u20) )).
% 10.98/11.14 cnf(d1_setfam_1-5, axiom, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | in(skolem2(_u34, _u31), _u31) | ~in(skolem4(_u34, _u31), _u31) )).
% 10.98/11.14 cnf(d1_setfam_1-6, axiom, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(_u20, _u34) | in(skolem4(_u34, _u31), _u20) | in(skolem3(_u34, _u31), _u34) )).
% 10.98/11.14 cnf(d1_setfam_1-7, axiom, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(_u20, _u34) | in(skolem4(_u34, _u31), _u20) | ~in(skolem2(_u34, _u31), skolem3(_u34, _u31)) )).
% 10.98/11.14 cnf(d1_setfam_1-8, axiom, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(skolem4(_u34, _u31), _u31) | in(skolem3(_u34, _u31), _u34) )).
% 10.98/11.14 cnf(d1_setfam_1-9, axiom, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(skolem4(_u34, _u31), _u31) | ~in(skolem2(_u34, _u31), skolem3(_u34, _u31)) )).
% 10.98/11.14 cnf(d1_setfam_1-10, axiom, ( ( _u35 != empty_set) | ( _u32 != set_meet(_u35)) | ( _u32 = empty_set) )).
% 10.98/11.14 cnf(d1_setfam_1-11, axiom, ( ( _u35 != empty_set) | ( _u33 != empty_set) | ( _u33 = set_meet(_u35)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d1_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d1_tarski-1, axiom, ( ( _u44 != singleton(_u46)) | ~in(_u40, _u44) | ( _u40 = _u46) )).
% 10.98/11.14 cnf(d1_tarski-2, axiom, ( ( _u44 != singleton(_u46)) | ( _u41 != _u46) | in(_u41, _u44) )).
% 10.98/11.14 cnf(d1_tarski-3, axiom, ( ( _u45 = singleton(_u47)) | in(skolem5(_u47, _u45), _u45) | ( skolem6(_u47, _u45) = _u47) )).
% 10.98/11.14 cnf(d1_tarski-4, axiom, ( ( _u45 = singleton(_u47)) | in(skolem5(_u47, _u45), _u45) | ~in(skolem6(_u47, _u45), _u45) )).
% 10.98/11.14 cnf(d1_tarski-5, axiom, ( ( _u45 = singleton(_u47)) | ( skolem5(_u47, _u45) != _u47) | ( skolem6(_u47, _u45) = _u47) )).
% 10.98/11.14 cnf(d1_tarski-6, axiom, ( ( _u45 = singleton(_u47)) | ( skolem5(_u47, _u45) != _u47) | ~in(skolem6(_u47, _u45), _u45) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d1_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d1_xboole_0-1, axiom, ( ( _u51 != empty_set) | ~in(_u48, _u51) )).
% 10.98/11.14 cnf(d1_xboole_0-2, axiom, ( in(skolem7(_u52), _u52) | ( _u52 = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d1_zfmisc_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d1_zfmisc_1-1, axiom, ( ( _u61 != powerset(_u63)) | ~in(_u57, _u61) | subset(_u57, _u63) )).
% 10.98/11.14 cnf(d1_zfmisc_1-2, axiom, ( ( _u61 != powerset(_u63)) | ~subset(_u58, _u63) | in(_u58, _u61) )).
% 10.98/11.14 cnf(d1_zfmisc_1-3, axiom, ( ( _u62 = powerset(_u64)) | in(skolem8(_u64, _u62), _u62) | subset(skolem9(_u64, _u62), _u64) )).
% 10.98/11.14 cnf(d1_zfmisc_1-4, axiom, ( ( _u62 = powerset(_u64)) | in(skolem8(_u64, _u62), _u62) | ~in(skolem9(_u64, _u62), _u62) )).
% 10.98/11.14 cnf(d1_zfmisc_1-5, axiom, ( ( _u62 = powerset(_u64)) | ~subset(skolem8(_u64, _u62), _u64) | subset(skolem9(_u64, _u62), _u64) )).
% 10.98/11.14 cnf(d1_zfmisc_1-6, axiom, ( ( _u62 = powerset(_u64)) | ~subset(skolem8(_u64, _u62), _u64) | ~in(skolem9(_u64, _u62), _u62) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d2_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d2_subset_1-1, axiom, ( empty(_u73) | ~element(_u69, _u73) | in(_u69, _u73) )).
% 10.98/11.14 cnf(d2_subset_1-2, axiom, ( empty(_u73) | ~in(_u70, _u73) | element(_u70, _u73) )).
% 10.98/11.14 cnf(d2_subset_1-3, axiom, ( ~empty(_u74) | ~element(_u71, _u74) | empty(_u71) )).
% 10.98/11.14 cnf(d2_subset_1-4, axiom, ( ~empty(_u74) | ~empty(_u72) | element(_u72, _u74) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d2_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d2_tarski-1, axiom, ( ( _u84 != unordered_pair(_u88, _u86)) | ~in(_u80, _u84) | ( _u80 = _u88) | ( _u80 = _u86) )).
% 10.98/11.14 cnf(d2_tarski-2, axiom, ( ( _u84 != unordered_pair(_u88, _u86)) | in(_u81, _u84) | ( _u81 != _u88) )).
% 10.98/11.14 cnf(d2_tarski-3, axiom, ( ( _u84 != unordered_pair(_u88, _u86)) | in(_u81, _u84) | ( _u81 != _u86) )).
% 10.98/11.14 cnf(d2_tarski-4, axiom, ( ( _u85 = unordered_pair(_u89, _u87)) | in(skolem10(_u89, _u87, _u85), _u85) | ( skolem11(_u89, _u87, _u85) = _u89) | ( skolem11(_u89, _u87, _u85) = _u87) )).
% 10.98/11.14 cnf(d2_tarski-5, axiom, ( ( _u85 = unordered_pair(_u89, _u87)) | in(skolem10(_u89, _u87, _u85), _u85) | ~in(skolem11(_u89, _u87, _u85), _u85) )).
% 10.98/11.14 cnf(d2_tarski-6, axiom, ( ( _u85 = unordered_pair(_u89, _u87)) | ( skolem11(_u89, _u87, _u85) = _u89) | ( skolem11(_u89, _u87, _u85) = _u87) | ( skolem10(_u89, _u87, _u85) != _u89) )).
% 10.98/11.14 cnf(d2_tarski-7, axiom, ( ( _u85 = unordered_pair(_u89, _u87)) | ( skolem11(_u89, _u87, _u85) = _u89) | ( skolem11(_u89, _u87, _u85) = _u87) | ( skolem10(_u89, _u87, _u85) != _u87) )).
% 10.98/11.14 cnf(d2_tarski-8, axiom, ( ( _u85 = unordered_pair(_u89, _u87)) | ~in(skolem11(_u89, _u87, _u85), _u85) | ( skolem10(_u89, _u87, _u85) != _u89) )).
% 10.98/11.14 cnf(d2_tarski-9, axiom, ( ( _u85 = unordered_pair(_u89, _u87)) | ~in(skolem11(_u89, _u87, _u85), _u85) | ( skolem10(_u89, _u87, _u85) != _u87) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d2_xboole_0-1, axiom, ( ( _u99 != set_union2(_u103, _u101)) | ~in(_u95, _u99) | in(_u95, _u103) | in(_u95, _u101) )).
% 10.98/11.14 cnf(d2_xboole_0-2, axiom, ( ( _u99 != set_union2(_u103, _u101)) | in(_u96, _u99) | ~in(_u96, _u103) )).
% 10.98/11.14 cnf(d2_xboole_0-3, axiom, ( ( _u99 != set_union2(_u103, _u101)) | in(_u96, _u99) | ~in(_u96, _u101) )).
% 10.98/11.14 cnf(d2_xboole_0-4, axiom, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem12(_u104, _u102, _u100), _u100) | in(skolem13(_u104, _u102, _u100), _u104) | in(skolem13(_u104, _u102, _u100), _u102) )).
% 10.98/11.14 cnf(d2_xboole_0-5, axiom, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem12(_u104, _u102, _u100), _u100) | ~in(skolem13(_u104, _u102, _u100), _u100) )).
% 10.98/11.14 cnf(d2_xboole_0-6, axiom, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem13(_u104, _u102, _u100), _u104) | in(skolem13(_u104, _u102, _u100), _u102) | ~in(skolem12(_u104, _u102, _u100), _u104) )).
% 10.98/11.14 cnf(d2_xboole_0-7, axiom, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem13(_u104, _u102, _u100), _u104) | in(skolem13(_u104, _u102, _u100), _u102) | ~in(skolem12(_u104, _u102, _u100), _u102) )).
% 10.98/11.14 cnf(d2_xboole_0-8, axiom, ( ( _u100 = set_union2(_u104, _u102)) | ~in(skolem13(_u104, _u102, _u100), _u100) | ~in(skolem12(_u104, _u102, _u100), _u104) )).
% 10.98/11.14 cnf(d2_xboole_0-9, axiom, ( ( _u100 = set_union2(_u104, _u102)) | ~in(skolem13(_u104, _u102, _u100), _u100) | ~in(skolem12(_u104, _u102, _u100), _u102) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d2_zfmisc_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d2_zfmisc_1-1, axiom, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u118, _u122) | in(skolem14(_u126, _u124, _u122, _u118), _u126) )).
% 10.98/11.14 cnf(d2_zfmisc_1-2, axiom, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u118, _u122) | in(skolem15(_u126, _u124, _u122, _u118), _u124) )).
% 10.98/11.14 cnf(d2_zfmisc_1-3, axiom, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u118, _u122) | ( _u118 = ordered_pair(skolem14(_u126, _u124, _u122, _u118), skolem15(_u126, _u124, _u122, _u118))) )).
% 10.98/11.14 cnf(d2_zfmisc_1-4, axiom, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u108, _u126) | ~in(_u107, _u124) | ( _u119 != ordered_pair(_u108, _u107)) | in(_u119, _u122) )).
% 10.98/11.14 cnf(d2_zfmisc_1-5, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | in(skolem18(_u127, _u125, _u123), _u127) )).
% 10.98/11.14 cnf(d2_zfmisc_1-6, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | in(skolem19(_u127, _u125, _u123), _u125) )).
% 10.98/11.14 cnf(d2_zfmisc_1-7, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | ( skolem17(_u127, _u125, _u123) = ordered_pair(skolem18(_u127, _u125, _u123), skolem19(_u127, _u125, _u123))) )).
% 10.98/11.14 cnf(d2_zfmisc_1-8, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | ~in(skolem17(_u127, _u125, _u123), _u123) )).
% 10.98/11.14 cnf(d2_zfmisc_1-9, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | in(skolem18(_u127, _u125, _u123), _u127) )).
% 10.98/11.14 cnf(d2_zfmisc_1-10, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | in(skolem19(_u127, _u125, _u123), _u125) )).
% 10.98/11.14 cnf(d2_zfmisc_1-11, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | ( skolem17(_u127, _u125, _u123) = ordered_pair(skolem18(_u127, _u125, _u123), skolem19(_u127, _u125, _u123))) )).
% 10.98/11.14 cnf(d2_zfmisc_1-12, axiom, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | ~in(skolem17(_u127, _u125, _u123), _u123) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d3_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d3_tarski-1, axiom, ( ~subset(_u134, _u132) | ~in(_u128, _u134) | in(_u128, _u132) )).
% 10.98/11.14 cnf(d3_tarski-2, axiom, ( subset(_u135, _u133) | in(skolem20(_u135, _u133), _u135) )).
% 10.98/11.14 cnf(d3_tarski-3, axiom, ( subset(_u135, _u133) | ~in(skolem20(_u135, _u133), _u133) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d3_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d3_xboole_0-1, axiom, ( ( _u145 != set_intersection2(_u149, _u147)) | ~in(_u141, _u145) | in(_u141, _u149) )).
% 10.98/11.14 cnf(d3_xboole_0-2, axiom, ( ( _u145 != set_intersection2(_u149, _u147)) | ~in(_u141, _u145) | in(_u141, _u147) )).
% 10.98/11.14 cnf(d3_xboole_0-3, axiom, ( ( _u145 != set_intersection2(_u149, _u147)) | ~in(_u142, _u149) | ~in(_u142, _u147) | in(_u142, _u145) )).
% 10.98/11.14 cnf(d3_xboole_0-4, axiom, ( ( _u146 = set_intersection2(_u150, _u148)) | in(skolem21(_u150, _u148, _u146), _u146) | in(skolem22(_u150, _u148, _u146), _u150) )).
% 10.98/11.14 cnf(d3_xboole_0-5, axiom, ( ( _u146 = set_intersection2(_u150, _u148)) | in(skolem21(_u150, _u148, _u146), _u146) | in(skolem22(_u150, _u148, _u146), _u148) )).
% 10.98/11.14 cnf(d3_xboole_0-6, axiom, ( ( _u146 = set_intersection2(_u150, _u148)) | in(skolem21(_u150, _u148, _u146), _u146) | ~in(skolem22(_u150, _u148, _u146), _u146) )).
% 10.98/11.14 cnf(d3_xboole_0-7, axiom, ( ( _u146 = set_intersection2(_u150, _u148)) | ~in(skolem21(_u150, _u148, _u146), _u150) | ~in(skolem21(_u150, _u148, _u146), _u148) | in(skolem22(_u150, _u148, _u146), _u150) )).
% 10.98/11.14 cnf(d3_xboole_0-8, axiom, ( ( _u146 = set_intersection2(_u150, _u148)) | ~in(skolem21(_u150, _u148, _u146), _u150) | ~in(skolem21(_u150, _u148, _u146), _u148) | in(skolem22(_u150, _u148, _u146), _u148) )).
% 10.98/11.14 cnf(d3_xboole_0-9, axiom, ( ( _u146 = set_intersection2(_u150, _u148)) | ~in(skolem21(_u150, _u148, _u146), _u150) | ~in(skolem21(_u150, _u148, _u146), _u148) | ~in(skolem22(_u150, _u148, _u146), _u146) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d4_relat_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d4_relat_1-1, axiom, ( ~relation(_u158) | ( _u163 != relation_dom(_u158)) | ~in(_u159, _u163) | in(ordered_pair(_u159, skolem23(_u158, _u163, _u159)), _u158) )).
% 10.98/11.14 cnf(d4_relat_1-2, axiom, ( ~relation(_u158) | ( _u163 != relation_dom(_u158)) | ~in(ordered_pair(_u160, _u152), _u158) | in(_u160, _u163) )).
% 10.98/11.14 cnf(d4_relat_1-3, axiom, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | in(skolem24(_u158, _u164), _u164) | in(ordered_pair(skolem25(_u158, _u164), skolem26(_u158, _u164)), _u158) )).
% 10.98/11.14 cnf(d4_relat_1-4, axiom, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | in(skolem24(_u158, _u164), _u164) | ~in(skolem25(_u158, _u164), _u164) )).
% 10.98/11.14 cnf(d4_relat_1-5, axiom, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | ~in(ordered_pair(skolem24(_u158, _u164), _u154), _u158) | in(ordered_pair(skolem25(_u158, _u164), skolem26(_u158, _u164)), _u158) )).
% 10.98/11.14 cnf(d4_relat_1-6, axiom, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | ~in(ordered_pair(skolem24(_u158, _u164), _u154), _u158) | ~in(skolem25(_u158, _u164), _u164) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d4_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d4_subset_1-1, axiom, ( ( cast_to_subset(_u165) = _u165) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d4_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d4_tarski-1, axiom, ( ( _u178 != union(_u180)) | ~in(_u174, _u178) | in(_u174, skolem27(_u180, _u178, _u174)) )).
% 10.98/11.14 cnf(d4_tarski-2, axiom, ( ( _u178 != union(_u180)) | ~in(_u174, _u178) | in(skolem27(_u180, _u178, _u174), _u180) )).
% 10.98/11.14 cnf(d4_tarski-3, axiom, ( ( _u178 != union(_u180)) | ~in(_u175, _u167) | ~in(_u167, _u180) | in(_u175, _u178) )).
% 10.98/11.14 cnf(d4_tarski-4, axiom, ( ( _u179 = union(_u181)) | in(skolem28(_u181, _u179), _u179) | in(skolem29(_u181, _u179), skolem30(_u181, _u179)) )).
% 10.98/11.14 cnf(d4_tarski-5, axiom, ( ( _u179 = union(_u181)) | in(skolem28(_u181, _u179), _u179) | in(skolem30(_u181, _u179), _u181) )).
% 10.98/11.14 cnf(d4_tarski-6, axiom, ( ( _u179 = union(_u181)) | in(skolem28(_u181, _u179), _u179) | ~in(skolem29(_u181, _u179), _u179) )).
% 10.98/11.14 cnf(d4_tarski-7, axiom, ( ( _u179 = union(_u181)) | ~in(skolem28(_u181, _u179), _u169) | ~in(_u169, _u181) | in(skolem29(_u181, _u179), skolem30(_u181, _u179)) )).
% 10.98/11.14 cnf(d4_tarski-8, axiom, ( ( _u179 = union(_u181)) | ~in(skolem28(_u181, _u179), _u169) | ~in(_u169, _u181) | in(skolem30(_u181, _u179), _u181) )).
% 10.98/11.14 cnf(d4_tarski-9, axiom, ( ( _u179 = union(_u181)) | ~in(skolem28(_u181, _u179), _u169) | ~in(_u169, _u181) | ~in(skolem29(_u181, _u179), _u179) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d4_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d4_xboole_0-1, axiom, ( ( _u191 != set_difference(_u195, _u193)) | ~in(_u187, _u191) | in(_u187, _u195) )).
% 10.98/11.14 cnf(d4_xboole_0-2, axiom, ( ( _u191 != set_difference(_u195, _u193)) | ~in(_u187, _u191) | ~in(_u187, _u193) )).
% 10.98/11.14 cnf(d4_xboole_0-3, axiom, ( ( _u191 != set_difference(_u195, _u193)) | ~in(_u188, _u195) | in(_u188, _u193) | in(_u188, _u191) )).
% 10.98/11.14 cnf(d4_xboole_0-4, axiom, ( ( _u192 = set_difference(_u196, _u194)) | in(skolem31(_u196, _u194, _u192), _u192) | in(skolem32(_u196, _u194, _u192), _u196) )).
% 10.98/11.14 cnf(d4_xboole_0-5, axiom, ( ( _u192 = set_difference(_u196, _u194)) | in(skolem31(_u196, _u194, _u192), _u192) | ~in(skolem32(_u196, _u194, _u192), _u194) )).
% 10.98/11.14 cnf(d4_xboole_0-6, axiom, ( ( _u192 = set_difference(_u196, _u194)) | in(skolem31(_u196, _u194, _u192), _u192) | ~in(skolem32(_u196, _u194, _u192), _u192) )).
% 10.98/11.14 cnf(d4_xboole_0-7, axiom, ( ( _u192 = set_difference(_u196, _u194)) | ~in(skolem31(_u196, _u194, _u192), _u196) | in(skolem31(_u196, _u194, _u192), _u194) | in(skolem32(_u196, _u194, _u192), _u196) )).
% 10.98/11.14 cnf(d4_xboole_0-8, axiom, ( ( _u192 = set_difference(_u196, _u194)) | ~in(skolem31(_u196, _u194, _u192), _u196) | in(skolem31(_u196, _u194, _u192), _u194) | ~in(skolem32(_u196, _u194, _u192), _u194) )).
% 10.98/11.14 cnf(d4_xboole_0-9, axiom, ( ( _u192 = set_difference(_u196, _u194)) | ~in(skolem31(_u196, _u194, _u192), _u196) | in(skolem31(_u196, _u194, _u192), _u194) | ~in(skolem32(_u196, _u194, _u192), _u192) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d5_relat_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d5_relat_1-1, axiom, ( ~relation(_u204) | ( _u209 != relation_rng(_u204)) | ~in(_u205, _u209) | in(ordered_pair(skolem33(_u204, _u209, _u205), _u205), _u204) )).
% 10.98/11.14 cnf(d5_relat_1-2, axiom, ( ~relation(_u204) | ( _u209 != relation_rng(_u204)) | ~in(ordered_pair(_u198, _u206), _u204) | in(_u206, _u209) )).
% 10.98/11.14 cnf(d5_relat_1-3, axiom, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | in(skolem34(_u204, _u210), _u210) | in(ordered_pair(skolem36(_u204, _u210), skolem35(_u204, _u210)), _u204) )).
% 10.98/11.14 cnf(d5_relat_1-4, axiom, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | in(skolem34(_u204, _u210), _u210) | ~in(skolem35(_u204, _u210), _u210) )).
% 10.98/11.14 cnf(d5_relat_1-5, axiom, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | ~in(ordered_pair(_u200, skolem34(_u204, _u210)), _u204) | in(ordered_pair(skolem36(_u204, _u210), skolem35(_u204, _u210)), _u204) )).
% 10.98/11.14 cnf(d5_relat_1-6, axiom, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | ~in(ordered_pair(_u200, skolem34(_u204, _u210)), _u204) | ~in(skolem35(_u204, _u210), _u210) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d5_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d5_subset_1-1, axiom, ( ~element(_u211, powerset(_u212)) | ( subset_complement(_u212, _u211) = set_difference(_u212, _u211)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d5_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d5_tarski-1, axiom, ( ( ordered_pair(_u214, _u213) = unordered_pair(unordered_pair(_u214, _u213), singleton(_u214))) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d7_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d7_xboole_0-1, axiom, ( ~disjoint(_u219, _u217) | ( set_intersection2(_u219, _u217) = empty_set) )).
% 10.98/11.14 cnf(d7_xboole_0-2, axiom, ( ( set_intersection2(_u220, _u218) != empty_set) | disjoint(_u220, _u218) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d8_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d8_setfam_1-1, axiom, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 != complements_of_subsets(_u225, _u224)) | ~element(_u221, powerset(_u225)) | ~in(_u221, _u223) | in(subset_complement(_u225, _u221), _u224) )).
% 10.98/11.14 cnf(d8_setfam_1-2, axiom, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 != complements_of_subsets(_u225, _u224)) | ~element(_u221, powerset(_u225)) | ~in(subset_complement(_u225, _u221), _u224) | in(_u221, _u223) )).
% 10.98/11.14 cnf(d8_setfam_1-3, axiom, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 = complements_of_subsets(_u225, _u224)) | element(skolem37(_u225, _u224, _u223), powerset(_u225)) )).
% 10.98/11.14 cnf(d8_setfam_1-4, axiom, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 = complements_of_subsets(_u225, _u224)) | in(skolem37(_u225, _u224, _u223), _u223) | in(subset_complement(_u225, skolem37(_u225, _u224, _u223)), _u224) )).
% 10.98/11.14 cnf(d8_setfam_1-5, axiom, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 = complements_of_subsets(_u225, _u224)) | ~in(subset_complement(_u225, skolem37(_u225, _u224, _u223)), _u224) | ~in(skolem37(_u225, _u224, _u223), _u223) )).
% 10.98/11.14
% 10.98/11.14 % Formula: d8_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(d8_xboole_0-1, axiom, ( ~proper_subset(_u230, _u228) | subset(_u230, _u228) )).
% 10.98/11.14 cnf(d8_xboole_0-2, axiom, ( ~proper_subset(_u230, _u228) | ( _u230 != _u228) )).
% 10.98/11.14 cnf(d8_xboole_0-3, axiom, ( ~subset(_u231, _u229) | ( _u231 = _u229) | proper_subset(_u231, _u229) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k1_relat_1, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k1_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k1_setfam_1, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k1_tarski, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k1_xboole_0, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k1_zfmisc_1, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k2_relat_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k2_relat_1, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k2_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k2_subset_1-1, axiom, ( element(cast_to_subset(_u232), powerset(_u232)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k2_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k2_tarski, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k2_xboole_0, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k2_zfmisc_1, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k3_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k3_subset_1-1, axiom, ( ~element(_u233, powerset(_u234)) | element(subset_complement(_u234, _u233), powerset(_u234)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k3_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k3_tarski, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k3_xboole_0, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k4_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k4_tarski, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k4_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k4_xboole_0, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k5_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k5_setfam_1-1, axiom, ( ~element(_u235, powerset(powerset(_u236))) | element(union_of_subsets(_u236, _u235), powerset(_u236)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k6_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k6_setfam_1-1, axiom, ( ~element(_u237, powerset(powerset(_u238))) | element(meet_of_subsets(_u238, _u237), powerset(_u238)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k6_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k6_subset_1-1, axiom, ( ~element(_u240, powerset(_u241)) | ~element(_u239, powerset(_u241)) | element(subset_difference(_u241, _u240, _u239), powerset(_u241)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_k7_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_k7_setfam_1-1, axiom, ( ~element(_u242, powerset(powerset(_u243))) | element(complements_of_subsets(_u243, _u242), powerset(powerset(_u243))) )).
% 10.98/11.14
% 10.98/11.14 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(dt_m1_subset_1, axiom, $true).
% 10.98/11.14
% 10.98/11.14 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(existence_m1_subset_1-1, axiom, ( element(skolem38(_u245), _u245) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u246)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc1_zfmisc_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc1_zfmisc_1-1, axiom, ( ~empty(ordered_pair(_u248, _u247)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc2_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc2_subset_1-1, axiom, ( ~empty(singleton(_u249)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc2_xboole_0-1, axiom, ( empty(_u251) | ~empty(set_union2(_u251, _u250)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc3_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc3_subset_1-1, axiom, ( ~empty(unordered_pair(_u253, _u252)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: fc3_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(fc3_xboole_0-1, axiom, ( empty(_u255) | ~empty(set_union2(_u254, _u255)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u257, _u257) = _u257) )).
% 10.98/11.14
% 10.98/11.14 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u259, _u259) = _u259) )).
% 10.98/11.14
% 10.98/11.14 % Formula: involutiveness_k3_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(involutiveness_k3_subset_1-1, axiom, ( ~element(_u260, powerset(_u261)) | ( subset_complement(_u261, subset_complement(_u261, _u260)) = _u260) )).
% 10.98/11.14
% 10.98/11.14 % Formula: involutiveness_k7_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(involutiveness_k7_setfam_1-1, axiom, ( ~element(_u262, powerset(powerset(_u263))) | ( complements_of_subsets(_u263, complements_of_subsets(_u263, _u262)) = _u262) )).
% 10.98/11.14
% 10.98/11.14 % Formula: irreflexivity_r2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(irreflexivity_r2_xboole_0-1, axiom, ( ~proper_subset(_u265, _u265) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l1_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l1_zfmisc_1-1, lemma, ( ( singleton(_u266) != empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l23_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l23_zfmisc_1-1, lemma, ( ~in(_u268, _u267) | ( set_union2(singleton(_u268), _u267) = _u267) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l25_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l25_zfmisc_1-1, lemma, ( ~disjoint(singleton(_u270), _u269) | ~in(_u270, _u269) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l28_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l28_zfmisc_1-1, lemma, ( in(_u272, _u271) | disjoint(singleton(_u272), _u271) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l2_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l2_zfmisc_1-1, lemma, ( ~subset(singleton(_u277), _u275) | in(_u277, _u275) )).
% 10.98/11.14 cnf(l2_zfmisc_1-2, lemma, ( ~in(_u278, _u276) | subset(singleton(_u278), _u276) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l32_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l32_xboole_1-1, lemma, ( ( set_difference(_u283, _u281) != empty_set) | subset(_u283, _u281) )).
% 10.98/11.14 cnf(l32_xboole_1-2, lemma, ( ~subset(_u284, _u282) | ( set_difference(_u284, _u282) = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l3_subset_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l3_subset_1-1, lemma, ( ~element(_u286, powerset(_u287)) | ~in(_u285, _u286) | in(_u285, _u287) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l3_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l3_zfmisc_1-1, lemma, ( ~subset(_u290, _u289) | in(_u288, _u290) | subset(_u290, set_difference(_u289, singleton(_u288))) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l4_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l4_zfmisc_1-1, lemma, ( ~subset(_u295, singleton(_u293)) | ( _u295 = empty_set) | ( _u295 = singleton(_u293)) )).
% 10.98/11.14 cnf(l4_zfmisc_1-2, lemma, ( subset(_u296, singleton(_u294)) | ( _u296 != empty_set) )).
% 10.98/11.14 cnf(l4_zfmisc_1-3, lemma, ( subset(_u296, singleton(_u294)) | ( _u296 != singleton(_u294)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l50_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l50_zfmisc_1-1, lemma, ( ~in(_u298, _u297) | subset(_u298, union(_u297)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l55_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l55_zfmisc_1-1, lemma, ( ~in(ordered_pair(_u309, _u307), cartesian_product2(_u305, _u303)) | in(_u309, _u305) )).
% 10.98/11.14 cnf(l55_zfmisc_1-2, lemma, ( ~in(ordered_pair(_u309, _u307), cartesian_product2(_u305, _u303)) | in(_u307, _u303) )).
% 10.98/11.14 cnf(l55_zfmisc_1-3, lemma, ( ~in(_u310, _u306) | ~in(_u308, _u304) | in(ordered_pair(_u310, _u308), cartesian_product2(_u306, _u304)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: l71_subset_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(l71_subset_1-1, lemma, ( element(_u313, powerset(_u312)) | in(skolem39(_u313, _u312), _u313) )).
% 10.98/11.14 cnf(l71_subset_1-2, lemma, ( element(_u313, powerset(_u312)) | ~in(skolem39(_u313, _u312), _u312) )).
% 10.98/11.14
% 10.98/11.14 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(rc1_relat_1-1, axiom, ( empty(skolem40) )).
% 10.98/11.14 cnf(rc1_relat_1-2, axiom, ( relation(skolem40) )).
% 10.98/11.14
% 10.98/11.14 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(rc1_subset_1-1, axiom, ( empty(_u316) | element(skolem41(_u316), powerset(_u316)) )).
% 10.98/11.14 cnf(rc1_subset_1-2, axiom, ( empty(_u316) | ~empty(skolem41(_u316)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(rc1_xboole_0-1, axiom, ( empty(skolem42) )).
% 10.98/11.14
% 10.98/11.14 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(rc2_subset_1-1, axiom, ( element(skolem43(_u319), powerset(_u319)) )).
% 10.98/11.14 cnf(rc2_subset_1-2, axiom, ( empty(skolem43(_u319)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem44) )).
% 10.98/11.14
% 10.98/11.14 % Formula: redefinition_k5_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(redefinition_k5_setfam_1-1, axiom, ( ~element(_u321, powerset(powerset(_u322))) | ( union_of_subsets(_u322, _u321) = union(_u321)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: redefinition_k6_setfam_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(redefinition_k6_setfam_1-1, axiom, ( ~element(_u323, powerset(powerset(_u324))) | ( meet_of_subsets(_u324, _u323) = set_meet(_u323)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: redefinition_k6_subset_1 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(redefinition_k6_subset_1-1, axiom, ( ~element(_u326, powerset(_u327)) | ~element(_u325, powerset(_u327)) | ( subset_difference(_u327, _u326, _u325) = set_difference(_u326, _u325)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u329, _u329) )).
% 10.98/11.14
% 10.98/11.14 % Formula: symmetry_r1_xboole_0 ( axiom ) converted to clauses:
% 10.98/11.14 cnf(symmetry_r1_xboole_0-1, axiom, ( ~disjoint(_u331, _u330) | disjoint(_u330, _u331) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t106_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t106_zfmisc_1-1, lemma, ( ~in(ordered_pair(_u342, _u340), cartesian_product2(_u338, _u336)) | in(_u342, _u338) )).
% 10.98/11.14 cnf(t106_zfmisc_1-2, lemma, ( ~in(ordered_pair(_u342, _u340), cartesian_product2(_u338, _u336)) | in(_u340, _u336) )).
% 10.98/11.14 cnf(t106_zfmisc_1-3, lemma, ( ~in(_u343, _u339) | ~in(_u341, _u337) | in(ordered_pair(_u343, _u341), cartesian_product2(_u339, _u337)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t10_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t10_zfmisc_1-1, lemma, ( ( _u347 = _u345) | ( unordered_pair(_u347, _u346) != unordered_pair(_u345, _u344)) | ( _u347 = _u344) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t118_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t118_zfmisc_1-1, lemma, ( ~subset(_u350, _u349) | subset(cartesian_product2(_u350, _u351), cartesian_product2(_u349, _u351)) )).
% 10.98/11.14 cnf(t118_zfmisc_1-2, lemma, ( ~subset(_u350, _u349) | subset(cartesian_product2(_u352, _u350), cartesian_product2(_u352, _u349)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t119_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t119_zfmisc_1-1, lemma, ( ~subset(_u356, _u355) | ~subset(_u354, _u353) | subset(cartesian_product2(_u356, _u354), cartesian_product2(_u355, _u353)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t12_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t12_xboole_1-1, lemma, ( ~subset(_u358, _u357) | ( set_union2(_u358, _u357) = _u357) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t136_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t136_zfmisc_1-1, lemma, ( in(_u364, skolem45(_u364)) )).
% 10.98/11.14 cnf(t136_zfmisc_1-2, lemma, ( ~in(_u360, skolem45(_u364)) | ~subset(_u359, _u360) | in(_u359, skolem45(_u364)) )).
% 10.98/11.14 cnf(t136_zfmisc_1-3, lemma, ( ~in(_u361, skolem45(_u364)) | in(powerset(_u361), skolem45(_u364)) )).
% 10.98/11.14 cnf(t136_zfmisc_1-4, lemma, ( ~subset(_u362, skolem45(_u364)) | are_equipotent(_u362, skolem45(_u364)) | in(_u362, skolem45(_u364)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t17_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t17_xboole_1-1, lemma, ( subset(set_intersection2(_u366, _u365), _u366) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t19_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t19_xboole_1-1, lemma, ( ~subset(_u369, _u368) | ~subset(_u369, _u367) | subset(_u369, set_intersection2(_u368, _u367)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t1_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t1_boole-1, axiom, ( ( set_union2(_u370, empty_set) = _u370) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t1_subset ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t1_subset-1, axiom, ( ~in(_u372, _u371) | element(_u372, _u371) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t1_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t1_xboole_1-1, lemma, ( ~subset(_u375, _u374) | ~subset(_u374, _u373) | subset(_u375, _u373) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t1_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t1_zfmisc_1-1, lemma, ( ( powerset(empty_set) = singleton(empty_set)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t20_relat_1 ( conjecture ) (definitionally) converted to clauses:
% 10.98/11.14 cnf(t20_relat_1-1, negated_conjecture, ( relation(skolem48) )).
% 10.98/11.14 cnf(t20_relat_1-2, negated_conjecture, ( in(ordered_pair(skolem46, skolem47), skolem48) )).
% 10.98/11.14 cnf(t20_relat_1-3, negated_conjecture, ( ~in(skolem46, relation_dom(skolem48)) | ~in(skolem47, relation_rng(skolem48)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t26_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t26_xboole_1-1, lemma, ( ~subset(_u381, _u380) | subset(set_intersection2(_u381, _u379), set_intersection2(_u380, _u379)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t28_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t28_xboole_1-1, lemma, ( ~subset(_u383, _u382) | ( set_intersection2(_u383, _u382) = _u383) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t2_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t2_boole-1, axiom, ( ( set_intersection2(_u384, empty_set) = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t2_subset ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t2_subset-1, axiom, ( ~element(_u386, _u385) | empty(_u385) | in(_u386, _u385) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t2_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t2_tarski-1, axiom, ( ( _u389 = _u388) | in(skolem49(_u389, _u388), _u389) | in(skolem50(_u389, _u388), _u388) )).
% 10.98/11.14 cnf(t2_tarski-2, axiom, ( ( _u389 = _u388) | in(skolem49(_u389, _u388), _u389) | ~in(skolem50(_u389, _u388), _u389) )).
% 10.98/11.14 cnf(t2_tarski-3, axiom, ( ( _u389 = _u388) | ~in(skolem49(_u389, _u388), _u388) | in(skolem50(_u389, _u388), _u388) )).
% 10.98/11.14 cnf(t2_tarski-4, axiom, ( ( _u389 = _u388) | ~in(skolem49(_u389, _u388), _u388) | ~in(skolem50(_u389, _u388), _u389) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t2_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t2_xboole_1-1, lemma, ( subset(empty_set, _u392) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t33_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t33_xboole_1-1, lemma, ( ~subset(_u395, _u394) | subset(set_difference(_u395, _u393), set_difference(_u394, _u393)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t33_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t33_zfmisc_1-1, lemma, ( ( ordered_pair(_u399, _u398) != ordered_pair(_u397, _u396)) | ( _u399 = _u397) )).
% 10.98/11.14 cnf(t33_zfmisc_1-2, lemma, ( ( ordered_pair(_u399, _u398) != ordered_pair(_u397, _u396)) | ( _u398 = _u396) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t36_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t36_xboole_1-1, lemma, ( subset(set_difference(_u401, _u400), _u401) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t37_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t37_xboole_1-1, lemma, ( ( set_difference(_u406, _u404) != empty_set) | subset(_u406, _u404) )).
% 10.98/11.14 cnf(t37_xboole_1-2, lemma, ( ~subset(_u407, _u405) | ( set_difference(_u407, _u405) = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t37_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t37_zfmisc_1-1, lemma, ( ~subset(singleton(_u412), _u410) | in(_u412, _u410) )).
% 10.98/11.14 cnf(t37_zfmisc_1-2, lemma, ( ~in(_u413, _u411) | subset(singleton(_u413), _u411) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t38_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t38_zfmisc_1-1, lemma, ( ~subset(unordered_pair(_u421, _u419), _u417) | in(_u421, _u417) )).
% 10.98/11.14 cnf(t38_zfmisc_1-2, lemma, ( ~subset(unordered_pair(_u421, _u419), _u417) | in(_u419, _u417) )).
% 10.98/11.14 cnf(t38_zfmisc_1-3, lemma, ( ~in(_u422, _u418) | ~in(_u420, _u418) | subset(unordered_pair(_u422, _u420), _u418) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t39_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t39_xboole_1-1, lemma, ( ( set_union2(_u424, set_difference(_u423, _u424)) = set_union2(_u424, _u423)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t39_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t39_zfmisc_1-1, lemma, ( ~subset(_u429, singleton(_u427)) | ( _u429 = empty_set) | ( _u429 = singleton(_u427)) )).
% 10.98/11.14 cnf(t39_zfmisc_1-2, lemma, ( subset(_u430, singleton(_u428)) | ( _u430 != empty_set) )).
% 10.98/11.14 cnf(t39_zfmisc_1-3, lemma, ( subset(_u430, singleton(_u428)) | ( _u430 != singleton(_u428)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t3_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t3_boole-1, axiom, ( ( set_difference(_u431, empty_set) = _u431) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t3_subset ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t3_subset-1, axiom, ( ~element(_u436, powerset(_u434)) | subset(_u436, _u434) )).
% 10.98/11.14 cnf(t3_subset-2, axiom, ( ~subset(_u437, _u435) | element(_u437, powerset(_u435)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t3_xboole_0 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t3_xboole_0-1, lemma, ( disjoint(_u444, _u442) | in(skolem51(_u444, _u442), _u444) )).
% 10.98/11.14 cnf(t3_xboole_0-2, lemma, ( disjoint(_u444, _u442) | in(skolem51(_u444, _u442), _u442) )).
% 10.98/11.14 cnf(t3_xboole_0-3, lemma, ( ~in(_u439, _u445) | ~in(_u439, _u443) | ~disjoint(_u445, _u443) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t3_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t3_xboole_1-1, lemma, ( ~subset(_u446, empty_set) | ( _u446 = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t40_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t40_xboole_1-1, lemma, ( ( set_difference(set_union2(_u448, _u447), _u447) = set_difference(_u448, _u447)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t43_subset_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t43_subset_1-1, lemma, ( ~element(_u450, powerset(_u451)) | ~element(_u449, powerset(_u451)) | ~disjoint(_u450, _u449) | subset(_u450, subset_complement(_u451, _u449)) )).
% 10.98/11.14 cnf(t43_subset_1-2, lemma, ( ~element(_u450, powerset(_u451)) | ~element(_u449, powerset(_u451)) | ~subset(_u450, subset_complement(_u451, _u449)) | disjoint(_u450, _u449) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t45_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t45_xboole_1-1, lemma, ( ~subset(_u453, _u452) | ( _u452 = set_union2(_u453, set_difference(_u452, _u453))) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t46_setfam_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t46_setfam_1-1, lemma, ( ~element(_u454, powerset(powerset(_u455))) | ( _u454 = empty_set) | ( complements_of_subsets(_u455, _u454) != empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t46_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t46_zfmisc_1-1, lemma, ( ~in(_u457, _u456) | ( set_union2(singleton(_u457), _u456) = _u456) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t47_setfam_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t47_setfam_1-1, lemma, ( ~element(_u458, powerset(powerset(_u459))) | ( _u458 = empty_set) | ( subset_difference(_u459, cast_to_subset(_u459), union_of_subsets(_u459, _u458)) = meet_of_subsets(_u459, complements_of_subsets(_u459, _u458))) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t48_setfam_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t48_setfam_1-1, lemma, ( ~element(_u460, powerset(powerset(_u461))) | ( _u460 = empty_set) | ( union_of_subsets(_u461, complements_of_subsets(_u461, _u460)) = subset_difference(_u461, cast_to_subset(_u461), meet_of_subsets(_u461, _u460))) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t48_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t48_xboole_1-1, lemma, ( ( set_difference(_u463, set_difference(_u463, _u462)) = set_intersection2(_u463, _u462)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t4_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t4_boole-1, axiom, ( ( set_difference(empty_set, _u464) = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t4_subset ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t4_subset-1, axiom, ( ~in(_u467, _u466) | ~element(_u466, powerset(_u465)) | element(_u467, _u465) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t4_xboole_0 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t4_xboole_0-1, lemma, ( disjoint(_u474, _u472) | in(skolem52(_u474, _u472), set_intersection2(_u474, _u472)) )).
% 10.98/11.14 cnf(t4_xboole_0-2, lemma, ( ~in(_u469, set_intersection2(_u475, _u473)) | ~disjoint(_u475, _u473) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t50_subset_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t50_subset_1-1, lemma, ( ( _u478 = empty_set) | ~element(_u477, powerset(_u478)) | ~element(_u476, _u478) | in(_u476, _u477) | in(_u476, subset_complement(_u478, _u477)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t54_subset_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t54_subset_1-1, lemma, ( ~element(_u479, powerset(_u481)) | ~in(_u480, subset_complement(_u481, _u479)) | ~in(_u480, _u479) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t5_subset ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t5_subset-1, axiom, ( ~in(_u484, _u483) | ~element(_u483, powerset(_u482)) | ~empty(_u482) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t60_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t60_xboole_1-1, lemma, ( ~subset(_u486, _u485) | ~proper_subset(_u485, _u486) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t63_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t63_xboole_1-1, lemma, ( ~subset(_u489, _u488) | ~disjoint(_u488, _u487) | disjoint(_u489, _u487) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t65_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t65_zfmisc_1-1, lemma, ( ( set_difference(_u494, singleton(_u492)) != _u494) | ~in(_u492, _u494) )).
% 10.98/11.14 cnf(t65_zfmisc_1-2, lemma, ( in(_u493, _u495) | ( set_difference(_u495, singleton(_u493)) = _u495) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t69_enumset1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t69_enumset1-1, lemma, ( ( unordered_pair(_u496, _u496) = singleton(_u496)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t6_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t6_boole-1, axiom, ( ~empty(_u497) | ( _u497 = empty_set) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t6_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t6_zfmisc_1-1, lemma, ( ~subset(singleton(_u499), singleton(_u498)) | ( _u499 = _u498) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t7_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t7_boole-1, axiom, ( ~in(_u501, _u500) | ~empty(_u500) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t7_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t7_xboole_1-1, lemma, ( subset(_u503, set_union2(_u503, _u502)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t83_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t83_xboole_1-1, lemma, ( ~disjoint(_u508, _u506) | ( set_difference(_u508, _u506) = _u508) )).
% 10.98/11.14 cnf(t83_xboole_1-2, lemma, ( ( set_difference(_u509, _u507) != _u509) | disjoint(_u509, _u507) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t8_boole ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t8_boole-1, axiom, ( ~empty(_u511) | ( _u511 = _u510) | ~empty(_u510) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t8_xboole_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t8_xboole_1-1, lemma, ( ~subset(_u514, _u513) | ~subset(_u512, _u513) | subset(set_union2(_u514, _u512), _u513) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t8_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t8_zfmisc_1-1, lemma, ( ( _u517 = _u516) | ( singleton(_u517) != unordered_pair(_u516, _u515)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t92_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t92_zfmisc_1-1, lemma, ( ~in(_u519, _u518) | subset(_u519, union(_u518)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t99_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t99_zfmisc_1-1, lemma, ( ( union(powerset(_u520)) = _u520) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t9_tarski ( axiom ) converted to clauses:
% 10.98/11.14 cnf(t9_tarski-1, axiom, ( in(_u528, skolem53(_u528)) )).
% 10.98/11.14 cnf(t9_tarski-2, axiom, ( ~in(_u522, skolem53(_u528)) | ~subset(_u521, _u522) | in(_u521, skolem53(_u528)) )).
% 10.98/11.14 cnf(t9_tarski-3, axiom, ( ~in(_u525, skolem53(_u528)) | in(skolem54(_u528, _u525), skolem53(_u528)) )).
% 10.98/11.14 cnf(t9_tarski-4, axiom, ( ~in(_u525, skolem53(_u528)) | ~subset(_u523, _u525) | in(_u523, skolem54(_u528, _u525)) )).
% 10.98/11.14 cnf(t9_tarski-5, axiom, ( ~subset(_u526, skolem53(_u528)) | are_equipotent(_u526, skolem53(_u528)) | in(_u526, skolem53(_u528)) )).
% 10.98/11.14
% 10.98/11.14 % Formula: t9_zfmisc_1 ( lemma ) converted to clauses:
% 10.98/11.14 cnf(t9_zfmisc_1-1, lemma, ( ( singleton(_u531) != unordered_pair(_u530, _u529)) | ( _u530 = _u529) )).
% 10.98/11.14
% 10.98/11.14 % Problem matrix:
% 10.98/11.14 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 10.98/11.14 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 10.98/11.14 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 10.98/11.14 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( set_meet(__eqx_0) = set_meet(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( cast_to_subset(__eqx_0) = cast_to_subset(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( union(__eqx_0) = union(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( relation_rng(__eqx_0) = relation_rng(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( subset_complement(__eqx_0, __eqx_1) = subset_complement(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( complements_of_subsets(__eqx_0, __eqx_1) = complements_of_subsets(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union_of_subsets(__eqx_0, __eqx_1) = union_of_subsets(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( meet_of_subsets(__eqx_0, __eqx_1) = meet_of_subsets(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( subset_difference(__eqx_0, __eqx_1, __eqx_2) = subset_difference(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem10(__eqx_0, __eqx_1, __eqx_2) = skolem10(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem11(__eqx_0, __eqx_1, __eqx_2) = skolem11(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem12(__eqx_0, __eqx_1, __eqx_2) = skolem12(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem13(__eqx_0, __eqx_1, __eqx_2) = skolem13(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 10.98/11.14 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 10.98/11.14 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem16(__eqx_0, __eqx_1, __eqx_2) = skolem16(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem17(__eqx_0, __eqx_1, __eqx_2) = skolem17(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem19(__eqx_0, __eqx_1, __eqx_2) = skolem19(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem20(__eqx_0, __eqx_1) = skolem20(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem21(__eqx_0, __eqx_1, __eqx_2) = skolem21(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem22(__eqx_0, __eqx_1, __eqx_2) = skolem22(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem23(__eqx_0, __eqx_1, __eqx_2) = skolem23(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem24(__eqx_0, __eqx_1) = skolem24(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem25(__eqx_0, __eqx_1) = skolem25(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem27(__eqx_0, __eqx_1, __eqx_2) = skolem27(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem28(__eqx_0, __eqx_1) = skolem28(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem30(__eqx_0, __eqx_1) = skolem30(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem31(__eqx_0, __eqx_1, __eqx_2) = skolem31(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem32(__eqx_0, __eqx_1, __eqx_2) = skolem32(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem33(__eqx_0, __eqx_1, __eqx_2) = skolem33(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem36(__eqx_0, __eqx_1) = skolem36(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem37(__eqx_0, __eqx_1, __eqx_2) = skolem37(__eqy_0, __eqy_1, __eqy_2)) )).
% 10.98/11.14 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( skolem38(__eqx_0) = skolem38(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem39(__eqx_0, __eqx_1) = skolem39(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( skolem41(__eqx_0) = skolem41(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( skolem43(__eqx_0) = skolem43(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( skolem45(__eqx_0) = skolem45(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem49(__eqx_0, __eqx_1) = skolem49(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem50(__eqx_0, __eqx_1) = skolem50(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem51(__eqx_0, __eqx_1) = skolem51(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem52(__eqx_0, __eqx_1) = skolem52(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( skolem53(__eqx_0) = skolem53(__eqy_0)) )).
% 10.98/11.14 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem54(__eqx_0, __eqx_1) = skolem54(__eqy_0, __eqy_1)) )).
% 10.98/11.14 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 10.98/11.14 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~proper_subset(__eqx_0, __eqx_1) | proper_subset(__eqy_0, __eqy_1) )).
% 10.98/11.14 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 10.98/11.14 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 10.98/11.14 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 10.98/11.14 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 10.98/11.14 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 10.98/11.14 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~are_equipotent(__eqx_0, __eqx_1) | are_equipotent(__eqy_0, __eqy_1) )).
% 10.98/11.14 cnf(matrix-77, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 10.98/11.14 cnf(matrix-78, plain, ( ~proper_subset(_u3, _u2) | ~proper_subset(_u2, _u3) )).
% 10.98/11.14 cnf(matrix-79, plain, ( ( unordered_pair(_u5, _u4) = unordered_pair(_u4, _u5)) )).
% 10.98/11.14 cnf(matrix-80, plain, ( ( set_union2(_u7, _u6) = set_union2(_u6, _u7)) )).
% 10.98/11.14 cnf(matrix-81, plain, ( ( set_intersection2(_u9, _u8) = set_intersection2(_u8, _u9)) )).
% 10.98/11.14 cnf(matrix-82, plain, ( ( _u14 != _u12) | subset(_u14, _u12) )).
% 10.98/11.14 cnf(matrix-83, plain, ( ( _u14 != _u12) | subset(_u12, _u14) )).
% 10.98/11.14 cnf(matrix-84, plain, ( ~subset(_u15, _u13) | ~subset(_u13, _u15) | ( _u15 = _u13) )).
% 10.98/11.14 cnf(matrix-85, plain, ( ( _u34 = empty_set) | ( _u30 != set_meet(_u34)) | ~in(_u24, _u30) | ~in(_u16, _u34) | in(_u24, _u16) )).
% 10.98/11.14 cnf(matrix-86, plain, ( ( _u34 = empty_set) | ( _u30 != set_meet(_u34)) | in(_u25, _u30) | in(skolem1(_u34, _u30, _u25), _u34) )).
% 10.98/11.14 cnf(matrix-87, plain, ( ( _u34 = empty_set) | ( _u30 != set_meet(_u34)) | in(_u25, _u30) | ~in(_u25, skolem1(_u34, _u30, _u25)) )).
% 10.98/11.14 cnf(matrix-88, plain, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | in(skolem2(_u34, _u31), _u31) | ~in(_u20, _u34) | in(skolem4(_u34, _u31), _u20) )).
% 10.98/11.14 cnf(matrix-89, plain, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | in(skolem2(_u34, _u31), _u31) | ~in(skolem4(_u34, _u31), _u31) )).
% 10.98/11.14 cnf(matrix-90, plain, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(_u20, _u34) | in(skolem4(_u34, _u31), _u20) | in(skolem3(_u34, _u31), _u34) )).
% 10.98/11.14 cnf(matrix-91, plain, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(_u20, _u34) | in(skolem4(_u34, _u31), _u20) | ~in(skolem2(_u34, _u31), skolem3(_u34, _u31)) )).
% 10.98/11.14 cnf(matrix-92, plain, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(skolem4(_u34, _u31), _u31) | in(skolem3(_u34, _u31), _u34) )).
% 10.98/11.14 cnf(matrix-93, plain, ( ( _u34 = empty_set) | ( _u31 = set_meet(_u34)) | ~in(skolem4(_u34, _u31), _u31) | ~in(skolem2(_u34, _u31), skolem3(_u34, _u31)) )).
% 10.98/11.14 cnf(matrix-94, plain, ( ( _u35 != empty_set) | ( _u32 != set_meet(_u35)) | ( _u32 = empty_set) )).
% 10.98/11.14 cnf(matrix-95, plain, ( ( _u35 != empty_set) | ( _u33 != empty_set) | ( _u33 = set_meet(_u35)) )).
% 10.98/11.14 cnf(matrix-96, plain, ( ( _u44 != singleton(_u46)) | ~in(_u40, _u44) | ( _u40 = _u46) )).
% 10.98/11.14 cnf(matrix-97, plain, ( ( _u44 != singleton(_u46)) | ( _u41 != _u46) | in(_u41, _u44) )).
% 10.98/11.14 cnf(matrix-98, plain, ( ( _u45 = singleton(_u47)) | in(skolem5(_u47, _u45), _u45) | ( skolem6(_u47, _u45) = _u47) )).
% 10.98/11.14 cnf(matrix-99, plain, ( ( _u45 = singleton(_u47)) | in(skolem5(_u47, _u45), _u45) | ~in(skolem6(_u47, _u45), _u45) )).
% 10.98/11.14 cnf(matrix-100, plain, ( ( _u45 = singleton(_u47)) | ( skolem5(_u47, _u45) != _u47) | ( skolem6(_u47, _u45) = _u47) )).
% 10.98/11.14 cnf(matrix-101, plain, ( ( _u45 = singleton(_u47)) | ( skolem5(_u47, _u45) != _u47) | ~in(skolem6(_u47, _u45), _u45) )).
% 10.98/11.14 cnf(matrix-102, plain, ( ( _u51 != empty_set) | ~in(_u48, _u51) )).
% 10.98/11.14 cnf(matrix-103, plain, ( in(skolem7(_u52), _u52) | ( _u52 = empty_set) )).
% 10.98/11.14 cnf(matrix-104, plain, ( ( _u61 != powerset(_u63)) | ~in(_u57, _u61) | subset(_u57, _u63) )).
% 10.98/11.14 cnf(matrix-105, plain, ( ( _u61 != powerset(_u63)) | ~subset(_u58, _u63) | in(_u58, _u61) )).
% 10.98/11.14 cnf(matrix-106, plain, ( ( _u62 = powerset(_u64)) | in(skolem8(_u64, _u62), _u62) | subset(skolem9(_u64, _u62), _u64) )).
% 10.98/11.14 cnf(matrix-107, plain, ( ( _u62 = powerset(_u64)) | in(skolem8(_u64, _u62), _u62) | ~in(skolem9(_u64, _u62), _u62) )).
% 10.98/11.14 cnf(matrix-108, plain, ( ( _u62 = powerset(_u64)) | ~subset(skolem8(_u64, _u62), _u64) | subset(skolem9(_u64, _u62), _u64) )).
% 10.98/11.14 cnf(matrix-109, plain, ( ( _u62 = powerset(_u64)) | ~subset(skolem8(_u64, _u62), _u64) | ~in(skolem9(_u64, _u62), _u62) )).
% 10.98/11.14 cnf(matrix-110, plain, ( empty(_u73) | ~element(_u69, _u73) | in(_u69, _u73) )).
% 10.98/11.14 cnf(matrix-111, plain, ( empty(_u73) | ~in(_u70, _u73) | element(_u70, _u73) )).
% 10.98/11.14 cnf(matrix-112, plain, ( ~empty(_u74) | ~element(_u71, _u74) | empty(_u71) )).
% 10.98/11.14 cnf(matrix-113, plain, ( ~empty(_u74) | ~empty(_u72) | element(_u72, _u74) )).
% 10.98/11.14 cnf(matrix-114, plain, ( ( _u84 != unordered_pair(_u88, _u86)) | ~in(_u80, _u84) | ( _u80 = _u88) | ( _u80 = _u86) )).
% 10.98/11.14 cnf(matrix-115, plain, ( ( _u84 != unordered_pair(_u88, _u86)) | in(_u81, _u84) | ( _u81 != _u88) )).
% 10.98/11.14 cnf(matrix-116, plain, ( ( _u84 != unordered_pair(_u88, _u86)) | in(_u81, _u84) | ( _u81 != _u86) )).
% 10.98/11.14 cnf(matrix-117, plain, ( ( _u85 = unordered_pair(_u89, _u87)) | in(skolem10(_u89, _u87, _u85), _u85) | ( skolem11(_u89, _u87, _u85) = _u89) | ( skolem11(_u89, _u87, _u85) = _u87) )).
% 10.98/11.14 cnf(matrix-118, plain, ( ( _u85 = unordered_pair(_u89, _u87)) | in(skolem10(_u89, _u87, _u85), _u85) | ~in(skolem11(_u89, _u87, _u85), _u85) )).
% 10.98/11.14 cnf(matrix-119, plain, ( ( _u85 = unordered_pair(_u89, _u87)) | ( skolem11(_u89, _u87, _u85) = _u89) | ( skolem11(_u89, _u87, _u85) = _u87) | ( skolem10(_u89, _u87, _u85) != _u89) )).
% 10.98/11.14 cnf(matrix-120, plain, ( ( _u85 = unordered_pair(_u89, _u87)) | ( skolem11(_u89, _u87, _u85) = _u89) | ( skolem11(_u89, _u87, _u85) = _u87) | ( skolem10(_u89, _u87, _u85) != _u87) )).
% 10.98/11.14 cnf(matrix-121, plain, ( ( _u85 = unordered_pair(_u89, _u87)) | ~in(skolem11(_u89, _u87, _u85), _u85) | ( skolem10(_u89, _u87, _u85) != _u89) )).
% 10.98/11.14 cnf(matrix-122, plain, ( ( _u85 = unordered_pair(_u89, _u87)) | ~in(skolem11(_u89, _u87, _u85), _u85) | ( skolem10(_u89, _u87, _u85) != _u87) )).
% 10.98/11.14 cnf(matrix-123, plain, ( ( _u99 != set_union2(_u103, _u101)) | ~in(_u95, _u99) | in(_u95, _u103) | in(_u95, _u101) )).
% 10.98/11.14 cnf(matrix-124, plain, ( ( _u99 != set_union2(_u103, _u101)) | in(_u96, _u99) | ~in(_u96, _u103) )).
% 10.98/11.14 cnf(matrix-125, plain, ( ( _u99 != set_union2(_u103, _u101)) | in(_u96, _u99) | ~in(_u96, _u101) )).
% 10.98/11.14 cnf(matrix-126, plain, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem12(_u104, _u102, _u100), _u100) | in(skolem13(_u104, _u102, _u100), _u104) | in(skolem13(_u104, _u102, _u100), _u102) )).
% 10.98/11.14 cnf(matrix-127, plain, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem12(_u104, _u102, _u100), _u100) | ~in(skolem13(_u104, _u102, _u100), _u100) )).
% 10.98/11.14 cnf(matrix-128, plain, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem13(_u104, _u102, _u100), _u104) | in(skolem13(_u104, _u102, _u100), _u102) | ~in(skolem12(_u104, _u102, _u100), _u104) )).
% 10.98/11.14 cnf(matrix-129, plain, ( ( _u100 = set_union2(_u104, _u102)) | in(skolem13(_u104, _u102, _u100), _u104) | in(skolem13(_u104, _u102, _u100), _u102) | ~in(skolem12(_u104, _u102, _u100), _u102) )).
% 10.98/11.14 cnf(matrix-130, plain, ( ( _u100 = set_union2(_u104, _u102)) | ~in(skolem13(_u104, _u102, _u100), _u100) | ~in(skolem12(_u104, _u102, _u100), _u104) )).
% 10.98/11.14 cnf(matrix-131, plain, ( ( _u100 = set_union2(_u104, _u102)) | ~in(skolem13(_u104, _u102, _u100), _u100) | ~in(skolem12(_u104, _u102, _u100), _u102) )).
% 10.98/11.14 cnf(matrix-132, plain, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u118, _u122) | in(skolem14(_u126, _u124, _u122, _u118), _u126) )).
% 10.98/11.14 cnf(matrix-133, plain, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u118, _u122) | in(skolem15(_u126, _u124, _u122, _u118), _u124) )).
% 10.98/11.14 cnf(matrix-134, plain, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u118, _u122) | ( _u118 = ordered_pair(skolem14(_u126, _u124, _u122, _u118), skolem15(_u126, _u124, _u122, _u118))) )).
% 10.98/11.14 cnf(matrix-135, plain, ( ( _u122 != cartesian_product2(_u126, _u124)) | ~in(_u108, _u126) | ~in(_u107, _u124) | ( _u119 != ordered_pair(_u108, _u107)) | in(_u119, _u122) )).
% 10.98/11.14 cnf(matrix-136, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | in(skolem18(_u127, _u125, _u123), _u127) )).
% 10.98/11.14 cnf(matrix-137, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | in(skolem19(_u127, _u125, _u123), _u125) )).
% 10.98/11.14 cnf(matrix-138, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | ( skolem17(_u127, _u125, _u123) = ordered_pair(skolem18(_u127, _u125, _u123), skolem19(_u127, _u125, _u123))) )).
% 10.98/11.14 cnf(matrix-139, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | in(skolem16(_u127, _u125, _u123), _u123) | ~in(skolem17(_u127, _u125, _u123), _u123) )).
% 10.98/11.14 cnf(matrix-140, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | in(skolem18(_u127, _u125, _u123), _u127) )).
% 10.98/11.14 cnf(matrix-141, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | in(skolem19(_u127, _u125, _u123), _u125) )).
% 10.98/11.14 cnf(matrix-142, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | ( skolem17(_u127, _u125, _u123) = ordered_pair(skolem18(_u127, _u125, _u123), skolem19(_u127, _u125, _u123))) )).
% 10.98/11.14 cnf(matrix-143, plain, ( ( _u123 = cartesian_product2(_u127, _u125)) | ~in(_u111, _u127) | ~in(_u110, _u125) | ( skolem16(_u127, _u125, _u123) != ordered_pair(_u111, _u110)) | ~in(skolem17(_u127, _u125, _u123), _u123) )).
% 10.98/11.14 cnf(matrix-144, plain, ( ~subset(_u134, _u132) | ~in(_u128, _u134) | in(_u128, _u132) )).
% 10.98/11.14 cnf(matrix-145, plain, ( subset(_u135, _u133) | in(skolem20(_u135, _u133), _u135) )).
% 10.98/11.14 cnf(matrix-146, plain, ( subset(_u135, _u133) | ~in(skolem20(_u135, _u133), _u133) )).
% 10.98/11.14 cnf(matrix-147, plain, ( ( _u145 != set_intersection2(_u149, _u147)) | ~in(_u141, _u145) | in(_u141, _u149) )).
% 10.98/11.14 cnf(matrix-148, plain, ( ( _u145 != set_intersection2(_u149, _u147)) | ~in(_u141, _u145) | in(_u141, _u147) )).
% 10.98/11.14 cnf(matrix-149, plain, ( ( _u145 != set_intersection2(_u149, _u147)) | ~in(_u142, _u149) | ~in(_u142, _u147) | in(_u142, _u145) )).
% 10.98/11.14 cnf(matrix-150, plain, ( ( _u146 = set_intersection2(_u150, _u148)) | in(skolem21(_u150, _u148, _u146), _u146) | in(skolem22(_u150, _u148, _u146), _u150) )).
% 10.98/11.14 cnf(matrix-151, plain, ( ( _u146 = set_intersection2(_u150, _u148)) | in(skolem21(_u150, _u148, _u146), _u146) | in(skolem22(_u150, _u148, _u146), _u148) )).
% 10.98/11.14 cnf(matrix-152, plain, ( ( _u146 = set_intersection2(_u150, _u148)) | in(skolem21(_u150, _u148, _u146), _u146) | ~in(skolem22(_u150, _u148, _u146), _u146) )).
% 10.98/11.14 cnf(matrix-153, plain, ( ( _u146 = set_intersection2(_u150, _u148)) | ~in(skolem21(_u150, _u148, _u146), _u150) | ~in(skolem21(_u150, _u148, _u146), _u148) | in(skolem22(_u150, _u148, _u146), _u150) )).
% 10.98/11.14 cnf(matrix-154, plain, ( ( _u146 = set_intersection2(_u150, _u148)) | ~in(skolem21(_u150, _u148, _u146), _u150) | ~in(skolem21(_u150, _u148, _u146), _u148) | in(skolem22(_u150, _u148, _u146), _u148) )).
% 10.98/11.14 cnf(matrix-155, plain, ( ( _u146 = set_intersection2(_u150, _u148)) | ~in(skolem21(_u150, _u148, _u146), _u150) | ~in(skolem21(_u150, _u148, _u146), _u148) | ~in(skolem22(_u150, _u148, _u146), _u146) )).
% 10.98/11.14 cnf(matrix-156, plain, ( ~relation(_u158) | ( _u163 != relation_dom(_u158)) | ~in(_u159, _u163) | in(ordered_pair(_u159, skolem23(_u158, _u163, _u159)), _u158) )).
% 10.98/11.14 cnf(matrix-157, plain, ( ~relation(_u158) | ( _u163 != relation_dom(_u158)) | ~in(ordered_pair(_u160, _u152), _u158) | in(_u160, _u163) )).
% 10.98/11.14 cnf(matrix-158, plain, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | in(skolem24(_u158, _u164), _u164) | in(ordered_pair(skolem25(_u158, _u164), skolem26(_u158, _u164)), _u158) )).
% 10.98/11.14 cnf(matrix-159, plain, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | in(skolem24(_u158, _u164), _u164) | ~in(skolem25(_u158, _u164), _u164) )).
% 10.98/11.14 cnf(matrix-160, plain, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | ~in(ordered_pair(skolem24(_u158, _u164), _u154), _u158) | in(ordered_pair(skolem25(_u158, _u164), skolem26(_u158, _u164)), _u158) )).
% 10.98/11.14 cnf(matrix-161, plain, ( ~relation(_u158) | ( _u164 = relation_dom(_u158)) | ~in(ordered_pair(skolem24(_u158, _u164), _u154), _u158) | ~in(skolem25(_u158, _u164), _u164) )).
% 10.98/11.14 cnf(matrix-162, plain, ( ( cast_to_subset(_u165) = _u165) )).
% 10.98/11.14 cnf(matrix-163, plain, ( ( _u178 != union(_u180)) | ~in(_u174, _u178) | in(_u174, skolem27(_u180, _u178, _u174)) )).
% 10.98/11.14 cnf(matrix-164, plain, ( ( _u178 != union(_u180)) | ~in(_u174, _u178) | in(skolem27(_u180, _u178, _u174), _u180) )).
% 10.98/11.14 cnf(matrix-165, plain, ( ( _u178 != union(_u180)) | ~in(_u175, _u167) | ~in(_u167, _u180) | in(_u175, _u178) )).
% 10.98/11.14 cnf(matrix-166, plain, ( ( _u179 = union(_u181)) | in(skolem28(_u181, _u179), _u179) | in(skolem29(_u181, _u179), skolem30(_u181, _u179)) )).
% 10.98/11.14 cnf(matrix-167, plain, ( ( _u179 = union(_u181)) | in(skolem28(_u181, _u179), _u179) | in(skolem30(_u181, _u179), _u181) )).
% 10.98/11.14 cnf(matrix-168, plain, ( ( _u179 = union(_u181)) | in(skolem28(_u181, _u179), _u179) | ~in(skolem29(_u181, _u179), _u179) )).
% 10.98/11.14 cnf(matrix-169, plain, ( ( _u179 = union(_u181)) | ~in(skolem28(_u181, _u179), _u169) | ~in(_u169, _u181) | in(skolem29(_u181, _u179), skolem30(_u181, _u179)) )).
% 10.98/11.14 cnf(matrix-170, plain, ( ( _u179 = union(_u181)) | ~in(skolem28(_u181, _u179), _u169) | ~in(_u169, _u181) | in(skolem30(_u181, _u179), _u181) )).
% 10.98/11.14 cnf(matrix-171, plain, ( ( _u179 = union(_u181)) | ~in(skolem28(_u181, _u179), _u169) | ~in(_u169, _u181) | ~in(skolem29(_u181, _u179), _u179) )).
% 10.98/11.14 cnf(matrix-172, plain, ( ( _u191 != set_difference(_u195, _u193)) | ~in(_u187, _u191) | in(_u187, _u195) )).
% 10.98/11.14 cnf(matrix-173, plain, ( ( _u191 != set_difference(_u195, _u193)) | ~in(_u187, _u191) | ~in(_u187, _u193) )).
% 10.98/11.14 cnf(matrix-174, plain, ( ( _u191 != set_difference(_u195, _u193)) | ~in(_u188, _u195) | in(_u188, _u193) | in(_u188, _u191) )).
% 10.98/11.14 cnf(matrix-175, plain, ( ( _u192 = set_difference(_u196, _u194)) | in(skolem31(_u196, _u194, _u192), _u192) | in(skolem32(_u196, _u194, _u192), _u196) )).
% 10.98/11.14 cnf(matrix-176, plain, ( ( _u192 = set_difference(_u196, _u194)) | in(skolem31(_u196, _u194, _u192), _u192) | ~in(skolem32(_u196, _u194, _u192), _u194) )).
% 10.98/11.14 cnf(matrix-177, plain, ( ( _u192 = set_difference(_u196, _u194)) | in(skolem31(_u196, _u194, _u192), _u192) | ~in(skolem32(_u196, _u194, _u192), _u192) )).
% 10.98/11.14 cnf(matrix-178, plain, ( ( _u192 = set_difference(_u196, _u194)) | ~in(skolem31(_u196, _u194, _u192), _u196) | in(skolem31(_u196, _u194, _u192), _u194) | in(skolem32(_u196, _u194, _u192), _u196) )).
% 10.98/11.14 cnf(matrix-179, plain, ( ( _u192 = set_difference(_u196, _u194)) | ~in(skolem31(_u196, _u194, _u192), _u196) | in(skolem31(_u196, _u194, _u192), _u194) | ~in(skolem32(_u196, _u194, _u192), _u194) )).
% 10.98/11.14 cnf(matrix-180, plain, ( ( _u192 = set_difference(_u196, _u194)) | ~in(skolem31(_u196, _u194, _u192), _u196) | in(skolem31(_u196, _u194, _u192), _u194) | ~in(skolem32(_u196, _u194, _u192), _u192) )).
% 10.98/11.14 cnf(matrix-181, plain, ( ~relation(_u204) | ( _u209 != relation_rng(_u204)) | ~in(_u205, _u209) | in(ordered_pair(skolem33(_u204, _u209, _u205), _u205), _u204) )).
% 10.98/11.14 cnf(matrix-182, plain, ( ~relation(_u204) | ( _u209 != relation_rng(_u204)) | ~in(ordered_pair(_u198, _u206), _u204) | in(_u206, _u209) )).
% 10.98/11.14 cnf(matrix-183, plain, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | in(skolem34(_u204, _u210), _u210) | in(ordered_pair(skolem36(_u204, _u210), skolem35(_u204, _u210)), _u204) )).
% 10.98/11.14 cnf(matrix-184, plain, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | in(skolem34(_u204, _u210), _u210) | ~in(skolem35(_u204, _u210), _u210) )).
% 10.98/11.14 cnf(matrix-185, plain, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | ~in(ordered_pair(_u200, skolem34(_u204, _u210)), _u204) | in(ordered_pair(skolem36(_u204, _u210), skolem35(_u204, _u210)), _u204) )).
% 10.98/11.14 cnf(matrix-186, plain, ( ~relation(_u204) | ( _u210 = relation_rng(_u204)) | ~in(ordered_pair(_u200, skolem34(_u204, _u210)), _u204) | ~in(skolem35(_u204, _u210), _u210) )).
% 10.98/11.14 cnf(matrix-187, plain, ( ~element(_u211, powerset(_u212)) | ( subset_complement(_u212, _u211) = set_difference(_u212, _u211)) )).
% 10.98/11.14 cnf(matrix-188, plain, ( ( ordered_pair(_u214, _u213) = unordered_pair(unordered_pair(_u214, _u213), singleton(_u214))) )).
% 10.98/11.14 cnf(matrix-189, plain, ( ~disjoint(_u219, _u217) | ( set_intersection2(_u219, _u217) = empty_set) )).
% 10.98/11.14 cnf(matrix-190, plain, ( ( set_intersection2(_u220, _u218) != empty_set) | disjoint(_u220, _u218) )).
% 10.98/11.14 cnf(matrix-191, plain, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 != complements_of_subsets(_u225, _u224)) | ~element(_u221, powerset(_u225)) | ~in(_u221, _u223) | in(subset_complement(_u225, _u221), _u224) )).
% 10.98/11.14 cnf(matrix-192, plain, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 != complements_of_subsets(_u225, _u224)) | ~element(_u221, powerset(_u225)) | ~in(subset_complement(_u225, _u221), _u224) | in(_u221, _u223) )).
% 10.98/11.14 cnf(matrix-193, plain, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 = complements_of_subsets(_u225, _u224)) | element(skolem37(_u225, _u224, _u223), powerset(_u225)) )).
% 10.98/11.14 cnf(matrix-194, plain, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 = complements_of_subsets(_u225, _u224)) | in(skolem37(_u225, _u224, _u223), _u223) | in(subset_complement(_u225, skolem37(_u225, _u224, _u223)), _u224) )).
% 10.98/11.14 cnf(matrix-195, plain, ( ~element(_u224, powerset(powerset(_u225))) | ~element(_u223, powerset(powerset(_u225))) | ( _u223 = complements_of_subsets(_u225, _u224)) | ~in(subset_complement(_u225, skolem37(_u225, _u224, _u223)), _u224) | ~in(skolem37(_u225, _u224, _u223), _u223) )).
% 10.98/11.14 cnf(matrix-196, plain, ( ~proper_subset(_u230, _u228) | subset(_u230, _u228) )).
% 10.98/11.14 cnf(matrix-197, plain, ( ~proper_subset(_u230, _u228) | ( _u230 != _u228) )).
% 10.98/11.14 cnf(matrix-198, plain, ( ~subset(_u231, _u229) | ( _u231 = _u229) | proper_subset(_u231, _u229) )).
% 10.98/11.14 cnf(matrix-199, plain, ( element(cast_to_subset(_u232), powerset(_u232)) )).
% 10.98/11.14 cnf(matrix-200, plain, ( ~element(_u233, powerset(_u234)) | element(subset_complement(_u234, _u233), powerset(_u234)) )).
% 10.98/11.14 cnf(matrix-201, plain, ( ~element(_u235, powerset(powerset(_u236))) | element(union_of_subsets(_u236, _u235), powerset(_u236)) )).
% 10.98/11.14 cnf(matrix-202, plain, ( ~element(_u237, powerset(powerset(_u238))) | element(meet_of_subsets(_u238, _u237), powerset(_u238)) )).
% 10.98/11.14 cnf(matrix-203, plain, ( ~element(_u240, powerset(_u241)) | ~element(_u239, powerset(_u241)) | element(subset_difference(_u241, _u240, _u239), powerset(_u241)) )).
% 10.98/11.14 cnf(matrix-204, plain, ( ~element(_u242, powerset(powerset(_u243))) | element(complements_of_subsets(_u243, _u242), powerset(powerset(_u243))) )).
% 10.98/11.14 cnf(matrix-205, plain, ( element(skolem38(_u245), _u245) )).
% 10.98/11.14 cnf(matrix-206, plain, ( ~empty(powerset(_u246)) )).
% 10.98/11.14 cnf(matrix-207, plain, ( empty(empty_set) )).
% 10.98/11.14 cnf(matrix-208, plain, ( ~empty(ordered_pair(_u248, _u247)) )).
% 10.98/11.14 cnf(matrix-209, plain, ( ~empty(singleton(_u249)) )).
% 10.98/11.14 cnf(matrix-210, plain, ( empty(_u251) | ~empty(set_union2(_u251, _u250)) )).
% 10.98/11.14 cnf(matrix-211, plain, ( ~empty(unordered_pair(_u253, _u252)) )).
% 10.98/11.14 cnf(matrix-212, plain, ( empty(_u255) | ~empty(set_union2(_u254, _u255)) )).
% 10.98/11.14 cnf(matrix-213, plain, ( ( set_union2(_u257, _u257) = _u257) )).
% 10.98/11.14 cnf(matrix-214, plain, ( ( set_intersection2(_u259, _u259) = _u259) )).
% 10.98/11.14 cnf(matrix-215, plain, ( ~element(_u260, powerset(_u261)) | ( subset_complement(_u261, subset_complement(_u261, _u260)) = _u260) )).
% 10.98/11.14 cnf(matrix-216, plain, ( ~element(_u262, powerset(powerset(_u263))) | ( complements_of_subsets(_u263, complements_of_subsets(_u263, _u262)) = _u262) )).
% 10.98/11.14 cnf(matrix-217, plain, ( ~proper_subset(_u265, _u265) )).
% 10.98/11.14 cnf(matrix-218, plain, ( ( singleton(_u266) != empty_set) )).
% 10.98/11.14 cnf(matrix-219, plain, ( ~in(_u268, _u267) | ( set_union2(singleton(_u268), _u267) = _u267) )).
% 10.98/11.14 cnf(matrix-220, plain, ( ~disjoint(singleton(_u270), _u269) | ~in(_u270, _u269) )).
% 10.98/11.14 cnf(matrix-221, plain, ( in(_u272, _u271) | disjoint(singleton(_u272), _u271) )).
% 10.98/11.14 cnf(matrix-222, plain, ( ~subset(singleton(_u277), _u275) | in(_u277, _u275) )).
% 10.98/11.14 cnf(matrix-223, plain, ( ~in(_u278, _u276) | subset(singleton(_u278), _u276) )).
% 10.98/11.14 cnf(matrix-224, plain, ( ( set_difference(_u283, _u281) != empty_set) | subset(_u283, _u281) )).
% 10.98/11.14 cnf(matrix-225, plain, ( ~subset(_u284, _u282) | ( set_difference(_u284, _u282) = empty_set) )).
% 10.98/11.14 cnf(matrix-226, plain, ( ~element(_u286, powerset(_u287)) | ~in(_u285, _u286) | in(_u285, _u287) )).
% 10.98/11.14 cnf(matrix-227, plain, ( ~subset(_u290, _u289) | in(_u288, _u290) | subset(_u290, set_difference(_u289, singleton(_u288))) )).
% 10.98/11.14 cnf(matrix-228, plain, ( ~subset(_u295, singleton(_u293)) | ( _u295 = empty_set) | ( _u295 = singleton(_u293)) )).
% 10.98/11.14 cnf(matrix-229, plain, ( subset(_u296, singleton(_u294)) | ( _u296 != empty_set) )).
% 10.98/11.14 cnf(matrix-230, plain, ( subset(_u296, singleton(_u294)) | ( _u296 != singleton(_u294)) )).
% 10.98/11.14 cnf(matrix-231, plain, ( ~in(_u298, _u297) | subset(_u298, union(_u297)) )).
% 10.98/11.14 cnf(matrix-232, plain, ( ~in(ordered_pair(_u309, _u307), cartesian_product2(_u305, _u303)) | in(_u309, _u305) )).
% 10.98/11.14 cnf(matrix-233, plain, ( ~in(ordered_pair(_u309, _u307), cartesian_product2(_u305, _u303)) | in(_u307, _u303) )).
% 10.98/11.14 cnf(matrix-234, plain, ( ~in(_u310, _u306) | ~in(_u308, _u304) | in(ordered_pair(_u310, _u308), cartesian_product2(_u306, _u304)) )).
% 10.98/11.14 cnf(matrix-235, plain, ( element(_u313, powerset(_u312)) | in(skolem39(_u313, _u312), _u313) )).
% 10.98/11.14 cnf(matrix-236, plain, ( element(_u313, powerset(_u312)) | ~in(skolem39(_u313, _u312), _u312) )).
% 10.98/11.14 cnf(matrix-237, plain, ( empty(skolem40) )).
% 10.98/11.14 cnf(matrix-238, plain, ( relation(skolem40) )).
% 10.98/11.14 cnf(matrix-239, plain, ( empty(_u316) | element(skolem41(_u316), powerset(_u316)) )).
% 10.98/11.14 cnf(matrix-240, plain, ( empty(_u316) | ~empty(skolem41(_u316)) )).
% 10.98/11.14 cnf(matrix-241, plain, ( empty(skolem42) )).
% 10.98/11.14 cnf(matrix-242, plain, ( element(skolem43(_u319), powerset(_u319)) )).
% 10.98/11.14 cnf(matrix-243, plain, ( empty(skolem43(_u319)) )).
% 10.98/11.14 cnf(matrix-244, plain, ( ~empty(skolem44) )).
% 10.98/11.14 cnf(matrix-245, plain, ( ~element(_u321, powerset(powerset(_u322))) | ( union_of_subsets(_u322, _u321) = union(_u321)) )).
% 10.98/11.14 cnf(matrix-246, plain, ( ~element(_u323, powerset(powerset(_u324))) | ( meet_of_subsets(_u324, _u323) = set_meet(_u323)) )).
% 10.98/11.14 cnf(matrix-247, plain, ( ~element(_u326, powerset(_u327)) | ~element(_u325, powerset(_u327)) | ( subset_difference(_u327, _u326, _u325) = set_difference(_u326, _u325)) )).
% 10.98/11.14 cnf(matrix-248, plain, ( subset(_u329, _u329) )).
% 10.98/11.14 cnf(matrix-249, plain, ( ~disjoint(_u331, _u330) | disjoint(_u330, _u331) )).
% 10.98/11.14 cnf(matrix-250, plain, ( ~in(ordered_pair(_u342, _u340), cartesian_product2(_u338, _u336)) | in(_u342, _u338) )).
% 10.98/11.14 cnf(matrix-251, plain, ( ~in(ordered_pair(_u342, _u340), cartesian_product2(_u338, _u336)) | in(_u340, _u336) )).
% 10.98/11.14 cnf(matrix-252, plain, ( ~in(_u343, _u339) | ~in(_u341, _u337) | in(ordered_pair(_u343, _u341), cartesian_product2(_u339, _u337)) )).
% 10.98/11.14 cnf(matrix-253, plain, ( ( _u347 = _u345) | ( unordered_pair(_u347, _u346) != unordered_pair(_u345, _u344)) | ( _u347 = _u344) )).
% 10.98/11.14 cnf(matrix-254, plain, ( ~subset(_u350, _u349) | subset(cartesian_product2(_u350, _u351), cartesian_product2(_u349, _u351)) )).
% 10.98/11.14 cnf(matrix-255, plain, ( ~subset(_u350, _u349) | subset(cartesian_product2(_u352, _u350), cartesian_product2(_u352, _u349)) )).
% 10.98/11.14 cnf(matrix-256, plain, ( ~subset(_u356, _u355) | ~subset(_u354, _u353) | subset(cartesian_product2(_u356, _u354), cartesian_product2(_u355, _u353)) )).
% 10.98/11.14 cnf(matrix-257, plain, ( ~subset(_u358, _u357) | ( set_union2(_u358, _u357) = _u357) )).
% 10.98/11.14 cnf(matrix-258, plain, ( in(_u364, skolem45(_u364)) )).
% 10.98/11.14 cnf(matrix-259, plain, ( ~in(_u360, skolem45(_u364)) | ~subset(_u359, _u360) | in(_u359, skolem45(_u364)) )).
% 10.98/11.14 cnf(matrix-260, plain, ( ~in(_u361, skolem45(_u364)) | in(powerset(_u361), skolem45(_u364)) )).
% 10.98/11.14 cnf(matrix-261, plain, ( ~subset(_u362, skolem45(_u364)) | are_equipotent(_u362, skolem45(_u364)) | in(_u362, skolem45(_u364)) )).
% 10.98/11.14 cnf(matrix-262, plain, ( subset(set_intersection2(_u366, _u365), _u366) )).
% 10.98/11.14 cnf(matrix-263, plain, ( ~subset(_u369, _u368) | ~subset(_u369, _u367) | subset(_u369, set_intersection2(_u368, _u367)) )).
% 10.98/11.14 cnf(matrix-264, plain, ( ( set_union2(_u370, empty_set) = _u370) )).
% 10.98/11.14 cnf(matrix-265, plain, ( ~in(_u372, _u371) | element(_u372, _u371) )).
% 10.98/11.14 cnf(matrix-266, plain, ( ~subset(_u375, _u374) | ~subset(_u374, _u373) | subset(_u375, _u373) )).
% 10.98/11.14 cnf(matrix-267, plain, ( ( powerset(empty_set) = singleton(empty_set)) )).
% 10.98/11.14 cnf(matrix-268, plain, ( relation(skolem48) )).
% 10.98/11.14 cnf(matrix-269, plain, ( in(ordered_pair(skolem46, skolem47), skolem48) )).
% 10.98/11.14 cnf(matrix-270, plain, ( ~in(skolem46, relation_dom(skolem48)) | ~in(skolem47, relation_rng(skolem48)) )).
% 10.98/11.14 cnf(matrix-271, plain, ( ~subset(_u381, _u380) | subset(set_intersection2(_u381, _u379), set_intersection2(_u380, _u379)) )).
% 10.98/11.14 cnf(matrix-272, plain, ( ~subset(_u383, _u382) | ( set_intersection2(_u383, _u382) = _u383) )).
% 10.98/11.14 cnf(matrix-273, plain, ( ( set_intersection2(_u384, empty_set) = empty_set) )).
% 10.98/11.14 cnf(matrix-274, plain, ( ~element(_u386, _u385) | empty(_u385) | in(_u386, _u385) )).
% 10.98/11.14 cnf(matrix-275, plain, ( ( _u389 = _u388) | in(skolem49(_u389, _u388), _u389) | in(skolem50(_u389, _u388), _u388) )).
% 10.98/11.14 cnf(matrix-276, plain, ( ( _u389 = _u388) | in(skolem49(_u389, _u388), _u389) | ~in(skolem50(_u389, _u388), _u389) )).
% 10.98/11.14 cnf(matrix-277, plain, ( ( _u389 = _u388) | ~in(skolem49(_u389, _u388), _u388) | in(skolem50(_u389, _u388), _u388) )).
% 10.98/11.14 cnf(matrix-278, plain, ( ( _u389 = _u388) | ~in(skolem49(_u389, _u388), _u388) | ~in(skolem50(_u389, _u388), _u389) )).
% 10.98/11.14 cnf(matrix-279, plain, ( subset(empty_set, _u392) )).
% 10.98/11.14 cnf(matrix-280, plain, ( ~subset(_u395, _u394) | subset(set_difference(_u395, _u393), set_difference(_u394, _u393)) )).
% 10.98/11.14 cnf(matrix-281, plain, ( ( ordered_pair(_u399, _u398) != ordered_pair(_u397, _u396)) | ( _u399 = _u397) )).
% 10.98/11.14 cnf(matrix-282, plain, ( ( ordered_pair(_u399, _u398) != ordered_pair(_u397, _u396)) | ( _u398 = _u396) )).
% 10.98/11.14 cnf(matrix-283, plain, ( subset(set_difference(_u401, _u400), _u401) )).
% 10.98/11.14 cnf(matrix-284, plain, ( ( set_difference(_u406, _u404) != empty_set) | subset(_u406, _u404) )).
% 10.98/11.14 cnf(matrix-285, plain, ( ~subset(_u407, _u405) | ( set_difference(_u407, _u405) = empty_set) )).
% 10.98/11.14 cnf(matrix-286, plain, ( ~subset(singleton(_u412), _u410) | in(_u412, _u410) )).
% 10.98/11.14 cnf(matrix-287, plain, ( ~in(_u413, _u411) | subset(singleton(_u413), _u411) )).
% 10.98/11.14 cnf(matrix-288, plain, ( ~subset(unordered_pair(_u421, _u419), _u417) | in(_u421, _u417) )).
% 10.98/11.14 cnf(matrix-289, plain, ( ~subset(unordered_pair(_u421, _u419), _u417) | in(_u419, _u417) )).
% 10.98/11.14 cnf(matrix-290, plain, ( ~in(_u422, _u418) | ~in(_u420, _u418) | subset(unordered_pair(_u422, _u420), _u418) )).
% 10.98/11.14 cnf(matrix-291, plain, ( ( set_union2(_u424, set_difference(_u423, _u424)) = set_union2(_u424, _u423)) )).
% 10.98/11.14 cnf(matrix-292, plain, ( ~subset(_u429, singleton(_u427)) | ( _u429 = empty_set) | ( _u429 = singleton(_u427)) )).
% 10.98/11.14 cnf(matrix-293, plain, ( subset(_u430, singleton(_u428)) | ( _u430 != empty_set) )).
% 10.98/11.14 cnf(matrix-294, plain, ( subset(_u430, singleton(_u428)) | ( _u430 != singleton(_u428)) )).
% 10.98/11.14 cnf(matrix-295, plain, ( ( set_difference(_u431, empty_set) = _u431) )).
% 10.98/11.14 cnf(matrix-296, plain, ( ~element(_u436, powerset(_u434)) | subset(_u436, _u434) )).
% 10.98/11.14 cnf(matrix-297, plain, ( ~subset(_u437, _u435) | element(_u437, powerset(_u435)) )).
% 10.98/11.14 cnf(matrix-298, plain, ( disjoint(_u444, _u442) | in(skolem51(_u444, _u442), _u444) )).
% 10.98/11.14 cnf(matrix-299, plain, ( disjoint(_u444, _u442) | in(skolem51(_u444, _u442), _u442) )).
% 10.98/11.14 cnf(matrix-300, plain, ( ~in(_u439, _u445) | ~in(_u439, _u443) | ~disjoint(_u445, _u443) )).
% 10.98/11.14 cnf(matrix-301, plain, ( ~subset(_u446, empty_set) | ( _u446 = empty_set) )).
% 10.98/11.14 cnf(matrix-302, plain, ( ( set_difference(set_union2(_u448, _u447), _u447) = set_difference(_u448, _u447)) )).
% 10.98/11.14 cnf(matrix-303, plain, ( ~element(_u450, powerset(_u451)) | ~element(_u449, powerset(_u451)) | ~disjoint(_u450, _u449) | subset(_u450, subset_complement(_u451, _u449)) )).
% 10.98/11.14 cnf(matrix-304, plain, ( ~element(_u450, powerset(_u451)) | ~element(_u449, powerset(_u451)) | ~subset(_u450, subset_complement(_u451, _u449)) | disjoint(_u450, _u449) )).
% 10.98/11.14 cnf(matrix-305, plain, ( ~subset(_u453, _u452) | ( _u452 = set_union2(_u453, set_difference(_u452, _u453))) )).
% 10.98/11.14 cnf(matrix-306, plain, ( ~element(_u454, powerset(powerset(_u455))) | ( _u454 = empty_set) | ( complements_of_subsets(_u455, _u454) != empty_set) )).
% 10.98/11.14 cnf(matrix-307, plain, ( ~in(_u457, _u456) | ( set_union2(singleton(_u457), _u456) = _u456) )).
% 10.98/11.14 cnf(matrix-308, plain, ( ~element(_u458, powerset(powerset(_u459))) | ( _u458 = empty_set) | ( subset_difference(_u459, cast_to_subset(_u459), union_of_subsets(_u459, _u458)) = meet_of_subsets(_u459, complements_of_subsets(_u459, _u458))) )).
% 10.98/11.14 cnf(matrix-309, plain, ( ~element(_u460, powerset(powerset(_u461))) | ( _u460 = empty_set) | ( union_of_subsets(_u461, complements_of_subsets(_u461, _u460)) = subset_difference(_u461, cast_to_subset(_u461), meet_of_subsets(_u461, _u460))) )).
% 10.98/11.14 cnf(matrix-310, plain, ( ( set_difference(_u463, set_difference(_u463, _u462)) = set_intersection2(_u463, _u462)) )).
% 10.98/11.14 cnf(matrix-311, plain, ( ( set_difference(empty_set, _u464) = empty_set) )).
% 10.98/11.14 cnf(matrix-312, plain, ( ~in(_u467, _u466) | ~element(_u466, powerset(_u465)) | element(_u467, _u465) )).
% 10.98/11.14 cnf(matrix-313, plain, ( disjoint(_u474, _u472) | in(skolem52(_u474, _u472), set_intersection2(_u474, _u472)) )).
% 10.98/11.14 cnf(matrix-314, plain, ( ~in(_u469, set_intersection2(_u475, _u473)) | ~disjoint(_u475, _u473) )).
% 10.98/11.14 cnf(matrix-315, plain, ( ( _u478 = empty_set) | ~element(_u477, powerset(_u478)) | ~element(_u476, _u478) | in(_u476, _u477) | in(_u476, subset_complement(_u478, _u477)) )).
% 10.98/11.14 cnf(matrix-316, plain, ( ~element(_u479, powerset(_u481)) | ~in(_u480, subset_complement(_u481, _u479)) | ~in(_u480, _u479) )).
% 10.98/11.14 cnf(matrix-317, plain, ( ~in(_u484, _u483) | ~element(_u483, powerset(_u482)) | ~empty(_u482) )).
% 10.98/11.14 cnf(matrix-318, plain, ( ~subset(_u486, _u485) | ~proper_subset(_u485, _u486) )).
% 10.98/11.14 cnf(matrix-319, plain, ( ~subset(_u489, _u488) | ~disjoint(_u488, _u487) | disjoint(_u489, _u487) )).
% 10.98/11.14 cnf(matrix-320, plain, ( ( set_difference(_u494, singleton(_u492)) != _u494) | ~in(_u492, _u494) )).
% 10.98/11.14 cnf(matrix-321, plain, ( in(_u493, _u495) | ( set_difference(_u495, singleton(_u493)) = _u495) )).
% 10.98/11.14 cnf(matrix-322, plain, ( ( unordered_pair(_u496, _u496) = singleton(_u496)) )).
% 10.98/11.14 cnf(matrix-323, plain, ( ~empty(_u497) | ( _u497 = empty_set) )).
% 10.98/11.14 cnf(matrix-324, plain, ( ~subset(singleton(_u499), singleton(_u498)) | ( _u499 = _u498) )).
% 10.98/11.14 cnf(matrix-325, plain, ( ~in(_u501, _u500) | ~empty(_u500) )).
% 10.98/11.14 cnf(matrix-326, plain, ( subset(_u503, set_union2(_u503, _u502)) )).
% 10.98/11.14 cnf(matrix-327, plain, ( ~disjoint(_u508, _u506) | ( set_difference(_u508, _u506) = _u508) )).
% 10.98/11.14 cnf(matrix-328, plain, ( ( set_difference(_u509, _u507) != _u509) | disjoint(_u509, _u507) )).
% 10.98/11.14 cnf(matrix-329, plain, ( ~empty(_u511) | ( _u511 = _u510) | ~empty(_u510) )).
% 10.98/11.14 cnf(matrix-330, plain, ( ~subset(_u514, _u513) | ~subset(_u512, _u513) | subset(set_union2(_u514, _u512), _u513) )).
% 10.98/11.14 cnf(matrix-331, plain, ( ( _u517 = _u516) | ( singleton(_u517) != unordered_pair(_u516, _u515)) )).
% 10.98/11.14 cnf(matrix-332, plain, ( ~in(_u519, _u518) | subset(_u519, union(_u518)) )).
% 10.98/11.14 cnf(matrix-333, plain, ( ( union(powerset(_u520)) = _u520) )).
% 10.98/11.14 cnf(matrix-334, plain, ( in(_u528, skolem53(_u528)) )).
% 10.98/11.14 cnf(matrix-335, plain, ( ~in(_u522, skolem53(_u528)) | ~subset(_u521, _u522) | in(_u521, skolem53(_u528)) )).
% 10.98/11.14 cnf(matrix-336, plain, ( ~in(_u525, skolem53(_u528)) | in(skolem54(_u528, _u525), skolem53(_u528)) )).
% 10.98/11.14 cnf(matrix-337, plain, ( ~in(_u525, skolem53(_u528)) | ~subset(_u523, _u525) | in(_u523, skolem54(_u528, _u525)) )).
% 10.98/11.14 cnf(matrix-338, plain, ( ~subset(_u526, skolem53(_u528)) | are_equipotent(_u526, skolem53(_u528)) | in(_u526, skolem53(_u528)) )).
% 10.98/11.14 cnf(matrix-339, plain, ( ( singleton(_u531) != unordered_pair(_u530, _u529)) | ( _u530 = _u529) )).
% 10.98/11.14
% 10.98/11.14 % Proof stack:
% 10.98/11.14 cnf(proof-stack, plain,
% 10.98/11.14 proof_stack(
% 10.98/11.14 start(270),
% 10.98/11.14 left_branch(0, 157, 3, 2),
% 10.98/11.14 left_branch(0, 268, 0, 3),
% 10.98/11.14 right_branch(3),
% 10.98/11.14 left_branch(0, 269, 0, 4),
% 10.98/11.14 right_branch(4),
% 10.98/11.14 left_branch(0, 0, 0, 5),
% 10.98/11.14 right_branch(5),
% 10.98/11.14 right_branch(2),
% 10.98/11.14 left_branch(0, 182, 3, 3),
% 10.98/11.14 left_branch(0, 268, 0, 4),
% 10.98/11.14 right_branch(4),
% 10.98/11.14 left_branch(0, 269, 0, 5),
% 10.98/11.14 right_branch(5),
% 10.98/11.14 left_branch(0, 0, 0, 6),
% 10.98/11.14 right_branch(6),
% 10.98/11.14 right_branch(3)
% 10.98/11.14 )).
% 10.98/11.14 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------