TSTP Solution File: SEU169+2 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU169+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 : n008.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 14:33:26 EDT 2024
% Result : Theorem 79.75s 79.91s
% Output : Proof 79.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU169+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n008.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 14:22:13 EDT 2024
% 0.13/0.34 % CPUTime :
% 79.75/79.91 % SZS status Theorem for theBenchmark
% 79.75/79.91 % SZS output start Proof for theBenchmark
% 79.75/79.91
% 79.75/79.91 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 79.75/79.91 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 79.75/79.91
% 79.75/79.91 % Formula: antisymmetry_r2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(antisymmetry_r2_xboole_0-1, axiom, ( ~proper_subset(_u3, _u2) | ~proper_subset(_u2, _u3) )).
% 79.75/79.91
% 79.75/79.91 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u5, _u4) = unordered_pair(_u4, _u5)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u7, _u6) = set_union2(_u6, _u7)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u9, _u8) = set_intersection2(_u8, _u9)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d10_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d10_xboole_0-1, axiom, ( ( _u14 != _u12) | subset(_u14, _u12) )).
% 79.75/79.91 cnf(d10_xboole_0-2, axiom, ( ( _u14 != _u12) | subset(_u12, _u14) )).
% 79.75/79.91 cnf(d10_xboole_0-3, axiom, ( ~subset(_u15, _u13) | ~subset(_u13, _u15) | ( _u15 = _u13) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d1_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d1_tarski-1, axiom, ( ( _u24 != singleton(_u26)) | ~in(_u20, _u24) | ( _u20 = _u26) )).
% 79.75/79.91 cnf(d1_tarski-2, axiom, ( ( _u24 != singleton(_u26)) | ( _u21 != _u26) | in(_u21, _u24) )).
% 79.75/79.91 cnf(d1_tarski-3, axiom, ( ( _u25 = singleton(_u27)) | in(skolem1(_u27, _u25), _u25) | ( skolem2(_u27, _u25) = _u27) )).
% 79.75/79.91 cnf(d1_tarski-4, axiom, ( ( _u25 = singleton(_u27)) | in(skolem1(_u27, _u25), _u25) | ~in(skolem2(_u27, _u25), _u25) )).
% 79.75/79.91 cnf(d1_tarski-5, axiom, ( ( _u25 = singleton(_u27)) | ( skolem1(_u27, _u25) != _u27) | ( skolem2(_u27, _u25) = _u27) )).
% 79.75/79.91 cnf(d1_tarski-6, axiom, ( ( _u25 = singleton(_u27)) | ( skolem1(_u27, _u25) != _u27) | ~in(skolem2(_u27, _u25), _u25) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d1_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d1_xboole_0-1, axiom, ( ( _u31 != empty_set) | ~in(_u28, _u31) )).
% 79.75/79.91 cnf(d1_xboole_0-2, axiom, ( in(skolem3(_u32), _u32) | ( _u32 = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d1_zfmisc_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d1_zfmisc_1-1, axiom, ( ( _u41 != powerset(_u43)) | ~in(_u37, _u41) | subset(_u37, _u43) )).
% 79.75/79.91 cnf(d1_zfmisc_1-2, axiom, ( ( _u41 != powerset(_u43)) | ~subset(_u38, _u43) | in(_u38, _u41) )).
% 79.75/79.91 cnf(d1_zfmisc_1-3, axiom, ( ( _u42 = powerset(_u44)) | in(skolem4(_u44, _u42), _u42) | subset(skolem5(_u44, _u42), _u44) )).
% 79.75/79.91 cnf(d1_zfmisc_1-4, axiom, ( ( _u42 = powerset(_u44)) | in(skolem4(_u44, _u42), _u42) | ~in(skolem5(_u44, _u42), _u42) )).
% 79.75/79.91 cnf(d1_zfmisc_1-5, axiom, ( ( _u42 = powerset(_u44)) | ~subset(skolem4(_u44, _u42), _u44) | subset(skolem5(_u44, _u42), _u44) )).
% 79.75/79.91 cnf(d1_zfmisc_1-6, axiom, ( ( _u42 = powerset(_u44)) | ~subset(skolem4(_u44, _u42), _u44) | ~in(skolem5(_u44, _u42), _u42) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d2_subset_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d2_subset_1-1, axiom, ( empty(_u53) | ~element(_u49, _u53) | in(_u49, _u53) )).
% 79.75/79.91 cnf(d2_subset_1-2, axiom, ( empty(_u53) | ~in(_u50, _u53) | element(_u50, _u53) )).
% 79.75/79.91 cnf(d2_subset_1-3, axiom, ( ~empty(_u54) | ~element(_u51, _u54) | empty(_u51) )).
% 79.75/79.91 cnf(d2_subset_1-4, axiom, ( ~empty(_u54) | ~empty(_u52) | element(_u52, _u54) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d2_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d2_tarski-1, axiom, ( ( _u64 != unordered_pair(_u68, _u66)) | ~in(_u60, _u64) | ( _u60 = _u68) | ( _u60 = _u66) )).
% 79.75/79.91 cnf(d2_tarski-2, axiom, ( ( _u64 != unordered_pair(_u68, _u66)) | in(_u61, _u64) | ( _u61 != _u68) )).
% 79.75/79.91 cnf(d2_tarski-3, axiom, ( ( _u64 != unordered_pair(_u68, _u66)) | in(_u61, _u64) | ( _u61 != _u66) )).
% 79.75/79.91 cnf(d2_tarski-4, axiom, ( ( _u65 = unordered_pair(_u69, _u67)) | in(skolem6(_u69, _u67, _u65), _u65) | ( skolem7(_u69, _u67, _u65) = _u69) | ( skolem7(_u69, _u67, _u65) = _u67) )).
% 79.75/79.91 cnf(d2_tarski-5, axiom, ( ( _u65 = unordered_pair(_u69, _u67)) | in(skolem6(_u69, _u67, _u65), _u65) | ~in(skolem7(_u69, _u67, _u65), _u65) )).
% 79.75/79.91 cnf(d2_tarski-6, axiom, ( ( _u65 = unordered_pair(_u69, _u67)) | ( skolem7(_u69, _u67, _u65) = _u69) | ( skolem7(_u69, _u67, _u65) = _u67) | ( skolem6(_u69, _u67, _u65) != _u69) )).
% 79.75/79.91 cnf(d2_tarski-7, axiom, ( ( _u65 = unordered_pair(_u69, _u67)) | ( skolem7(_u69, _u67, _u65) = _u69) | ( skolem7(_u69, _u67, _u65) = _u67) | ( skolem6(_u69, _u67, _u65) != _u67) )).
% 79.75/79.91 cnf(d2_tarski-8, axiom, ( ( _u65 = unordered_pair(_u69, _u67)) | ~in(skolem7(_u69, _u67, _u65), _u65) | ( skolem6(_u69, _u67, _u65) != _u69) )).
% 79.75/79.91 cnf(d2_tarski-9, axiom, ( ( _u65 = unordered_pair(_u69, _u67)) | ~in(skolem7(_u69, _u67, _u65), _u65) | ( skolem6(_u69, _u67, _u65) != _u67) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d2_xboole_0-1, axiom, ( ( _u79 != set_union2(_u83, _u81)) | ~in(_u75, _u79) | in(_u75, _u83) | in(_u75, _u81) )).
% 79.75/79.91 cnf(d2_xboole_0-2, axiom, ( ( _u79 != set_union2(_u83, _u81)) | in(_u76, _u79) | ~in(_u76, _u83) )).
% 79.75/79.91 cnf(d2_xboole_0-3, axiom, ( ( _u79 != set_union2(_u83, _u81)) | in(_u76, _u79) | ~in(_u76, _u81) )).
% 79.75/79.91 cnf(d2_xboole_0-4, axiom, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem8(_u84, _u82, _u80), _u80) | in(skolem9(_u84, _u82, _u80), _u84) | in(skolem9(_u84, _u82, _u80), _u82) )).
% 79.75/79.91 cnf(d2_xboole_0-5, axiom, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem8(_u84, _u82, _u80), _u80) | ~in(skolem9(_u84, _u82, _u80), _u80) )).
% 79.75/79.91 cnf(d2_xboole_0-6, axiom, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem9(_u84, _u82, _u80), _u84) | in(skolem9(_u84, _u82, _u80), _u82) | ~in(skolem8(_u84, _u82, _u80), _u84) )).
% 79.75/79.91 cnf(d2_xboole_0-7, axiom, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem9(_u84, _u82, _u80), _u84) | in(skolem9(_u84, _u82, _u80), _u82) | ~in(skolem8(_u84, _u82, _u80), _u82) )).
% 79.75/79.91 cnf(d2_xboole_0-8, axiom, ( ( _u80 = set_union2(_u84, _u82)) | ~in(skolem9(_u84, _u82, _u80), _u80) | ~in(skolem8(_u84, _u82, _u80), _u84) )).
% 79.75/79.91 cnf(d2_xboole_0-9, axiom, ( ( _u80 = set_union2(_u84, _u82)) | ~in(skolem9(_u84, _u82, _u80), _u80) | ~in(skolem8(_u84, _u82, _u80), _u82) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d2_zfmisc_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d2_zfmisc_1-1, axiom, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u98, _u102) | in(skolem10(_u106, _u104, _u102, _u98), _u106) )).
% 79.75/79.91 cnf(d2_zfmisc_1-2, axiom, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u98, _u102) | in(skolem11(_u106, _u104, _u102, _u98), _u104) )).
% 79.75/79.91 cnf(d2_zfmisc_1-3, axiom, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u98, _u102) | ( _u98 = ordered_pair(skolem10(_u106, _u104, _u102, _u98), skolem11(_u106, _u104, _u102, _u98))) )).
% 79.75/79.91 cnf(d2_zfmisc_1-4, axiom, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u88, _u106) | ~in(_u87, _u104) | ( _u99 != ordered_pair(_u88, _u87)) | in(_u99, _u102) )).
% 79.75/79.91 cnf(d2_zfmisc_1-5, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | in(skolem14(_u107, _u105, _u103), _u107) )).
% 79.75/79.91 cnf(d2_zfmisc_1-6, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | in(skolem15(_u107, _u105, _u103), _u105) )).
% 79.75/79.91 cnf(d2_zfmisc_1-7, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | ( skolem13(_u107, _u105, _u103) = ordered_pair(skolem14(_u107, _u105, _u103), skolem15(_u107, _u105, _u103))) )).
% 79.75/79.91 cnf(d2_zfmisc_1-8, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | ~in(skolem13(_u107, _u105, _u103), _u103) )).
% 79.75/79.91 cnf(d2_zfmisc_1-9, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | in(skolem14(_u107, _u105, _u103), _u107) )).
% 79.75/79.91 cnf(d2_zfmisc_1-10, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | in(skolem15(_u107, _u105, _u103), _u105) )).
% 79.75/79.91 cnf(d2_zfmisc_1-11, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | ( skolem13(_u107, _u105, _u103) = ordered_pair(skolem14(_u107, _u105, _u103), skolem15(_u107, _u105, _u103))) )).
% 79.75/79.91 cnf(d2_zfmisc_1-12, axiom, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | ~in(skolem13(_u107, _u105, _u103), _u103) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d3_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d3_tarski-1, axiom, ( ~subset(_u114, _u112) | ~in(_u108, _u114) | in(_u108, _u112) )).
% 79.75/79.91 cnf(d3_tarski-2, axiom, ( subset(_u115, _u113) | in(skolem16(_u115, _u113), _u115) )).
% 79.75/79.91 cnf(d3_tarski-3, axiom, ( subset(_u115, _u113) | ~in(skolem16(_u115, _u113), _u113) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d3_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d3_xboole_0-1, axiom, ( ( _u125 != set_intersection2(_u129, _u127)) | ~in(_u121, _u125) | in(_u121, _u129) )).
% 79.75/79.91 cnf(d3_xboole_0-2, axiom, ( ( _u125 != set_intersection2(_u129, _u127)) | ~in(_u121, _u125) | in(_u121, _u127) )).
% 79.75/79.91 cnf(d3_xboole_0-3, axiom, ( ( _u125 != set_intersection2(_u129, _u127)) | ~in(_u122, _u129) | ~in(_u122, _u127) | in(_u122, _u125) )).
% 79.75/79.91 cnf(d3_xboole_0-4, axiom, ( ( _u126 = set_intersection2(_u130, _u128)) | in(skolem17(_u130, _u128, _u126), _u126) | in(skolem18(_u130, _u128, _u126), _u130) )).
% 79.75/79.91 cnf(d3_xboole_0-5, axiom, ( ( _u126 = set_intersection2(_u130, _u128)) | in(skolem17(_u130, _u128, _u126), _u126) | in(skolem18(_u130, _u128, _u126), _u128) )).
% 79.75/79.91 cnf(d3_xboole_0-6, axiom, ( ( _u126 = set_intersection2(_u130, _u128)) | in(skolem17(_u130, _u128, _u126), _u126) | ~in(skolem18(_u130, _u128, _u126), _u126) )).
% 79.75/79.91 cnf(d3_xboole_0-7, axiom, ( ( _u126 = set_intersection2(_u130, _u128)) | ~in(skolem17(_u130, _u128, _u126), _u130) | ~in(skolem17(_u130, _u128, _u126), _u128) | in(skolem18(_u130, _u128, _u126), _u130) )).
% 79.75/79.91 cnf(d3_xboole_0-8, axiom, ( ( _u126 = set_intersection2(_u130, _u128)) | ~in(skolem17(_u130, _u128, _u126), _u130) | ~in(skolem17(_u130, _u128, _u126), _u128) | in(skolem18(_u130, _u128, _u126), _u128) )).
% 79.75/79.91 cnf(d3_xboole_0-9, axiom, ( ( _u126 = set_intersection2(_u130, _u128)) | ~in(skolem17(_u130, _u128, _u126), _u130) | ~in(skolem17(_u130, _u128, _u126), _u128) | ~in(skolem18(_u130, _u128, _u126), _u126) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d4_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d4_tarski-1, axiom, ( ( _u143 != union(_u145)) | ~in(_u139, _u143) | in(_u139, skolem19(_u145, _u143, _u139)) )).
% 79.75/79.91 cnf(d4_tarski-2, axiom, ( ( _u143 != union(_u145)) | ~in(_u139, _u143) | in(skolem19(_u145, _u143, _u139), _u145) )).
% 79.75/79.91 cnf(d4_tarski-3, axiom, ( ( _u143 != union(_u145)) | ~in(_u140, _u132) | ~in(_u132, _u145) | in(_u140, _u143) )).
% 79.75/79.91 cnf(d4_tarski-4, axiom, ( ( _u144 = union(_u146)) | in(skolem20(_u146, _u144), _u144) | in(skolem21(_u146, _u144), skolem22(_u146, _u144)) )).
% 79.75/79.91 cnf(d4_tarski-5, axiom, ( ( _u144 = union(_u146)) | in(skolem20(_u146, _u144), _u144) | in(skolem22(_u146, _u144), _u146) )).
% 79.75/79.91 cnf(d4_tarski-6, axiom, ( ( _u144 = union(_u146)) | in(skolem20(_u146, _u144), _u144) | ~in(skolem21(_u146, _u144), _u144) )).
% 79.75/79.91 cnf(d4_tarski-7, axiom, ( ( _u144 = union(_u146)) | ~in(skolem20(_u146, _u144), _u134) | ~in(_u134, _u146) | in(skolem21(_u146, _u144), skolem22(_u146, _u144)) )).
% 79.75/79.91 cnf(d4_tarski-8, axiom, ( ( _u144 = union(_u146)) | ~in(skolem20(_u146, _u144), _u134) | ~in(_u134, _u146) | in(skolem22(_u146, _u144), _u146) )).
% 79.75/79.91 cnf(d4_tarski-9, axiom, ( ( _u144 = union(_u146)) | ~in(skolem20(_u146, _u144), _u134) | ~in(_u134, _u146) | ~in(skolem21(_u146, _u144), _u144) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d4_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d4_xboole_0-1, axiom, ( ( _u156 != set_difference(_u160, _u158)) | ~in(_u152, _u156) | in(_u152, _u160) )).
% 79.75/79.91 cnf(d4_xboole_0-2, axiom, ( ( _u156 != set_difference(_u160, _u158)) | ~in(_u152, _u156) | ~in(_u152, _u158) )).
% 79.75/79.91 cnf(d4_xboole_0-3, axiom, ( ( _u156 != set_difference(_u160, _u158)) | ~in(_u153, _u160) | in(_u153, _u158) | in(_u153, _u156) )).
% 79.75/79.91 cnf(d4_xboole_0-4, axiom, ( ( _u157 = set_difference(_u161, _u159)) | in(skolem23(_u161, _u159, _u157), _u157) | in(skolem24(_u161, _u159, _u157), _u161) )).
% 79.75/79.91 cnf(d4_xboole_0-5, axiom, ( ( _u157 = set_difference(_u161, _u159)) | in(skolem23(_u161, _u159, _u157), _u157) | ~in(skolem24(_u161, _u159, _u157), _u159) )).
% 79.75/79.91 cnf(d4_xboole_0-6, axiom, ( ( _u157 = set_difference(_u161, _u159)) | in(skolem23(_u161, _u159, _u157), _u157) | ~in(skolem24(_u161, _u159, _u157), _u157) )).
% 79.75/79.91 cnf(d4_xboole_0-7, axiom, ( ( _u157 = set_difference(_u161, _u159)) | ~in(skolem23(_u161, _u159, _u157), _u161) | in(skolem23(_u161, _u159, _u157), _u159) | in(skolem24(_u161, _u159, _u157), _u161) )).
% 79.75/79.91 cnf(d4_xboole_0-8, axiom, ( ( _u157 = set_difference(_u161, _u159)) | ~in(skolem23(_u161, _u159, _u157), _u161) | in(skolem23(_u161, _u159, _u157), _u159) | ~in(skolem24(_u161, _u159, _u157), _u159) )).
% 79.75/79.91 cnf(d4_xboole_0-9, axiom, ( ( _u157 = set_difference(_u161, _u159)) | ~in(skolem23(_u161, _u159, _u157), _u161) | in(skolem23(_u161, _u159, _u157), _u159) | ~in(skolem24(_u161, _u159, _u157), _u157) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d5_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d5_tarski-1, axiom, ( ( ordered_pair(_u163, _u162) = unordered_pair(unordered_pair(_u163, _u162), singleton(_u163))) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d7_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d7_xboole_0-1, axiom, ( ~disjoint(_u168, _u166) | ( set_intersection2(_u168, _u166) = empty_set) )).
% 79.75/79.91 cnf(d7_xboole_0-2, axiom, ( ( set_intersection2(_u169, _u167) != empty_set) | disjoint(_u169, _u167) )).
% 79.75/79.91
% 79.75/79.91 % Formula: d8_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(d8_xboole_0-1, axiom, ( ~proper_subset(_u174, _u172) | subset(_u174, _u172) )).
% 79.75/79.91 cnf(d8_xboole_0-2, axiom, ( ~proper_subset(_u174, _u172) | ( _u174 != _u172) )).
% 79.75/79.91 cnf(d8_xboole_0-3, axiom, ( ~subset(_u175, _u173) | ( _u175 = _u173) | proper_subset(_u175, _u173) )).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k1_tarski, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k1_xboole_0, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k1_zfmisc_1, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k2_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k2_tarski, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k2_xboole_0, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k2_zfmisc_1, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k3_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k3_tarski, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k3_xboole_0, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k4_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k4_tarski, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_k4_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_k4_xboole_0, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(dt_m1_subset_1, axiom, $true).
% 79.75/79.91
% 79.75/79.91 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(existence_m1_subset_1-1, axiom, ( element(skolem25(_u177), _u177) )).
% 79.75/79.91
% 79.75/79.91 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u178)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: fc1_zfmisc_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(fc1_zfmisc_1-1, axiom, ( ~empty(ordered_pair(_u180, _u179)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: fc2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(fc2_xboole_0-1, axiom, ( empty(_u182) | ~empty(set_union2(_u182, _u181)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: fc3_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(fc3_xboole_0-1, axiom, ( empty(_u184) | ~empty(set_union2(_u183, _u184)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u186, _u186) = _u186) )).
% 79.75/79.91
% 79.75/79.91 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u188, _u188) = _u188) )).
% 79.75/79.91
% 79.75/79.91 % Formula: irreflexivity_r2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(irreflexivity_r2_xboole_0-1, axiom, ( ~proper_subset(_u190, _u190) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l1_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l1_zfmisc_1-1, lemma, ( ( singleton(_u191) != empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l23_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l23_zfmisc_1-1, lemma, ( ~in(_u193, _u192) | ( set_union2(singleton(_u193), _u192) = _u192) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l25_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l25_zfmisc_1-1, lemma, ( ~disjoint(singleton(_u195), _u194) | ~in(_u195, _u194) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l28_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l28_zfmisc_1-1, lemma, ( in(_u197, _u196) | disjoint(singleton(_u197), _u196) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l2_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l2_zfmisc_1-1, lemma, ( ~subset(singleton(_u202), _u200) | in(_u202, _u200) )).
% 79.75/79.91 cnf(l2_zfmisc_1-2, lemma, ( ~in(_u203, _u201) | subset(singleton(_u203), _u201) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l32_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l32_xboole_1-1, lemma, ( ( set_difference(_u208, _u206) != empty_set) | subset(_u208, _u206) )).
% 79.75/79.91 cnf(l32_xboole_1-2, lemma, ( ~subset(_u209, _u207) | ( set_difference(_u209, _u207) = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l3_subset_1 ( conjecture ) (definitionally) converted to clauses:
% 79.75/79.91 cnf(l3_subset_1-1, negated_conjecture, ( element(skolem27, powerset(skolem26)) )).
% 79.75/79.91 cnf(l3_subset_1-2, negated_conjecture, ( in(skolem28, skolem27) )).
% 79.75/79.91 cnf(l3_subset_1-3, negated_conjecture, ( ~in(skolem28, skolem26) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l3_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l3_zfmisc_1-1, lemma, ( ~subset(_u215, _u214) | in(_u213, _u215) | subset(_u215, set_difference(_u214, singleton(_u213))) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l4_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l4_zfmisc_1-1, lemma, ( ~subset(_u220, singleton(_u218)) | ( _u220 = empty_set) | ( _u220 = singleton(_u218)) )).
% 79.75/79.91 cnf(l4_zfmisc_1-2, lemma, ( subset(_u221, singleton(_u219)) | ( _u221 != empty_set) )).
% 79.75/79.91 cnf(l4_zfmisc_1-3, lemma, ( subset(_u221, singleton(_u219)) | ( _u221 != singleton(_u219)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l50_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l50_zfmisc_1-1, lemma, ( ~in(_u223, _u222) | subset(_u223, union(_u222)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: l55_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(l55_zfmisc_1-1, lemma, ( ~in(ordered_pair(_u234, _u232), cartesian_product2(_u230, _u228)) | in(_u234, _u230) )).
% 79.75/79.91 cnf(l55_zfmisc_1-2, lemma, ( ~in(ordered_pair(_u234, _u232), cartesian_product2(_u230, _u228)) | in(_u232, _u228) )).
% 79.75/79.91 cnf(l55_zfmisc_1-3, lemma, ( ~in(_u235, _u231) | ~in(_u233, _u229) | in(ordered_pair(_u235, _u233), cartesian_product2(_u231, _u229)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(rc1_subset_1-1, axiom, ( empty(_u237) | element(skolem29(_u237), powerset(_u237)) )).
% 79.75/79.91 cnf(rc1_subset_1-2, axiom, ( empty(_u237) | ~empty(skolem29(_u237)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(rc1_xboole_0-1, axiom, ( empty(skolem30) )).
% 79.75/79.91
% 79.75/79.91 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem31) )).
% 79.75/79.91
% 79.75/79.91 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u241, _u241) )).
% 79.75/79.91
% 79.75/79.91 % Formula: symmetry_r1_xboole_0 ( axiom ) converted to clauses:
% 79.75/79.91 cnf(symmetry_r1_xboole_0-1, axiom, ( ~disjoint(_u243, _u242) | disjoint(_u242, _u243) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t106_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t106_zfmisc_1-1, lemma, ( ~in(ordered_pair(_u254, _u252), cartesian_product2(_u250, _u248)) | in(_u254, _u250) )).
% 79.75/79.91 cnf(t106_zfmisc_1-2, lemma, ( ~in(ordered_pair(_u254, _u252), cartesian_product2(_u250, _u248)) | in(_u252, _u248) )).
% 79.75/79.91 cnf(t106_zfmisc_1-3, lemma, ( ~in(_u255, _u251) | ~in(_u253, _u249) | in(ordered_pair(_u255, _u253), cartesian_product2(_u251, _u249)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t10_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t10_zfmisc_1-1, lemma, ( ( _u259 = _u257) | ( unordered_pair(_u259, _u258) != unordered_pair(_u257, _u256)) | ( _u259 = _u256) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t118_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t118_zfmisc_1-1, lemma, ( ~subset(_u262, _u261) | subset(cartesian_product2(_u262, _u263), cartesian_product2(_u261, _u263)) )).
% 79.75/79.91 cnf(t118_zfmisc_1-2, lemma, ( ~subset(_u262, _u261) | subset(cartesian_product2(_u264, _u262), cartesian_product2(_u264, _u261)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t119_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t119_zfmisc_1-1, lemma, ( ~subset(_u268, _u267) | ~subset(_u266, _u265) | subset(cartesian_product2(_u268, _u266), cartesian_product2(_u267, _u265)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t12_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t12_xboole_1-1, lemma, ( ~subset(_u270, _u269) | ( set_union2(_u270, _u269) = _u269) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t136_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t136_zfmisc_1-1, lemma, ( in(_u276, skolem32(_u276)) )).
% 79.75/79.91 cnf(t136_zfmisc_1-2, lemma, ( ~in(_u272, skolem32(_u276)) | ~subset(_u271, _u272) | in(_u271, skolem32(_u276)) )).
% 79.75/79.91 cnf(t136_zfmisc_1-3, lemma, ( ~in(_u273, skolem32(_u276)) | in(powerset(_u273), skolem32(_u276)) )).
% 79.75/79.91 cnf(t136_zfmisc_1-4, lemma, ( ~subset(_u274, skolem32(_u276)) | are_equipotent(_u274, skolem32(_u276)) | in(_u274, skolem32(_u276)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t17_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t17_xboole_1-1, lemma, ( subset(set_intersection2(_u278, _u277), _u278) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t19_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t19_xboole_1-1, lemma, ( ~subset(_u281, _u280) | ~subset(_u281, _u279) | subset(_u281, set_intersection2(_u280, _u279)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t1_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t1_boole-1, axiom, ( ( set_union2(_u282, empty_set) = _u282) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t1_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t1_xboole_1-1, lemma, ( ~subset(_u285, _u284) | ~subset(_u284, _u283) | subset(_u285, _u283) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t1_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t1_zfmisc_1-1, lemma, ( ( powerset(empty_set) = singleton(empty_set)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t26_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t26_xboole_1-1, lemma, ( ~subset(_u288, _u287) | subset(set_intersection2(_u288, _u286), set_intersection2(_u287, _u286)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t28_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t28_xboole_1-1, lemma, ( ~subset(_u290, _u289) | ( set_intersection2(_u290, _u289) = _u290) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t2_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t2_boole-1, axiom, ( ( set_intersection2(_u291, empty_set) = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t2_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t2_tarski-1, axiom, ( ( _u294 = _u293) | in(skolem33(_u294, _u293), _u294) | in(skolem34(_u294, _u293), _u293) )).
% 79.75/79.91 cnf(t2_tarski-2, axiom, ( ( _u294 = _u293) | in(skolem33(_u294, _u293), _u294) | ~in(skolem34(_u294, _u293), _u294) )).
% 79.75/79.91 cnf(t2_tarski-3, axiom, ( ( _u294 = _u293) | ~in(skolem33(_u294, _u293), _u293) | in(skolem34(_u294, _u293), _u293) )).
% 79.75/79.91 cnf(t2_tarski-4, axiom, ( ( _u294 = _u293) | ~in(skolem33(_u294, _u293), _u293) | ~in(skolem34(_u294, _u293), _u294) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t2_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t2_xboole_1-1, lemma, ( subset(empty_set, _u297) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t33_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t33_xboole_1-1, lemma, ( ~subset(_u300, _u299) | subset(set_difference(_u300, _u298), set_difference(_u299, _u298)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t33_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t33_zfmisc_1-1, lemma, ( ( ordered_pair(_u304, _u303) != ordered_pair(_u302, _u301)) | ( _u304 = _u302) )).
% 79.75/79.91 cnf(t33_zfmisc_1-2, lemma, ( ( ordered_pair(_u304, _u303) != ordered_pair(_u302, _u301)) | ( _u303 = _u301) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t36_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t36_xboole_1-1, lemma, ( subset(set_difference(_u306, _u305), _u306) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t37_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t37_xboole_1-1, lemma, ( ( set_difference(_u311, _u309) != empty_set) | subset(_u311, _u309) )).
% 79.75/79.91 cnf(t37_xboole_1-2, lemma, ( ~subset(_u312, _u310) | ( set_difference(_u312, _u310) = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t37_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t37_zfmisc_1-1, lemma, ( ~subset(singleton(_u317), _u315) | in(_u317, _u315) )).
% 79.75/79.91 cnf(t37_zfmisc_1-2, lemma, ( ~in(_u318, _u316) | subset(singleton(_u318), _u316) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t38_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t38_zfmisc_1-1, lemma, ( ~subset(unordered_pair(_u326, _u324), _u322) | in(_u326, _u322) )).
% 79.75/79.91 cnf(t38_zfmisc_1-2, lemma, ( ~subset(unordered_pair(_u326, _u324), _u322) | in(_u324, _u322) )).
% 79.75/79.91 cnf(t38_zfmisc_1-3, lemma, ( ~in(_u327, _u323) | ~in(_u325, _u323) | subset(unordered_pair(_u327, _u325), _u323) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t39_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t39_xboole_1-1, lemma, ( ( set_union2(_u329, set_difference(_u328, _u329)) = set_union2(_u329, _u328)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t39_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t39_zfmisc_1-1, lemma, ( ~subset(_u334, singleton(_u332)) | ( _u334 = empty_set) | ( _u334 = singleton(_u332)) )).
% 79.75/79.91 cnf(t39_zfmisc_1-2, lemma, ( subset(_u335, singleton(_u333)) | ( _u335 != empty_set) )).
% 79.75/79.91 cnf(t39_zfmisc_1-3, lemma, ( subset(_u335, singleton(_u333)) | ( _u335 != singleton(_u333)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t3_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t3_boole-1, axiom, ( ( set_difference(_u336, empty_set) = _u336) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t3_xboole_0 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t3_xboole_0-1, lemma, ( disjoint(_u343, _u341) | in(skolem35(_u343, _u341), _u343) )).
% 79.75/79.91 cnf(t3_xboole_0-2, lemma, ( disjoint(_u343, _u341) | in(skolem35(_u343, _u341), _u341) )).
% 79.75/79.91 cnf(t3_xboole_0-3, lemma, ( ~in(_u338, _u344) | ~in(_u338, _u342) | ~disjoint(_u344, _u342) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t3_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t3_xboole_1-1, lemma, ( ~subset(_u345, empty_set) | ( _u345 = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t40_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t40_xboole_1-1, lemma, ( ( set_difference(set_union2(_u347, _u346), _u346) = set_difference(_u347, _u346)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t45_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t45_xboole_1-1, lemma, ( ~subset(_u349, _u348) | ( _u348 = set_union2(_u349, set_difference(_u348, _u349))) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t46_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t46_zfmisc_1-1, lemma, ( ~in(_u351, _u350) | ( set_union2(singleton(_u351), _u350) = _u350) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t48_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t48_xboole_1-1, lemma, ( ( set_difference(_u353, set_difference(_u353, _u352)) = set_intersection2(_u353, _u352)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t4_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t4_boole-1, axiom, ( ( set_difference(empty_set, _u354) = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t4_xboole_0 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t4_xboole_0-1, lemma, ( disjoint(_u361, _u359) | in(skolem36(_u361, _u359), set_intersection2(_u361, _u359)) )).
% 79.75/79.91 cnf(t4_xboole_0-2, lemma, ( ~in(_u356, set_intersection2(_u362, _u360)) | ~disjoint(_u362, _u360) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t60_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t60_xboole_1-1, lemma, ( ~subset(_u364, _u363) | ~proper_subset(_u363, _u364) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t63_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t63_xboole_1-1, lemma, ( ~subset(_u367, _u366) | ~disjoint(_u366, _u365) | disjoint(_u367, _u365) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t65_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t65_zfmisc_1-1, lemma, ( ( set_difference(_u372, singleton(_u370)) != _u372) | ~in(_u370, _u372) )).
% 79.75/79.91 cnf(t65_zfmisc_1-2, lemma, ( in(_u371, _u373) | ( set_difference(_u373, singleton(_u371)) = _u373) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t69_enumset1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t69_enumset1-1, lemma, ( ( unordered_pair(_u374, _u374) = singleton(_u374)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t6_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t6_boole-1, axiom, ( ~empty(_u375) | ( _u375 = empty_set) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t6_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t6_zfmisc_1-1, lemma, ( ~subset(singleton(_u377), singleton(_u376)) | ( _u377 = _u376) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t7_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t7_boole-1, axiom, ( ~in(_u379, _u378) | ~empty(_u378) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t7_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t7_xboole_1-1, lemma, ( subset(_u381, set_union2(_u381, _u380)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t83_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t83_xboole_1-1, lemma, ( ~disjoint(_u386, _u384) | ( set_difference(_u386, _u384) = _u386) )).
% 79.75/79.91 cnf(t83_xboole_1-2, lemma, ( ( set_difference(_u387, _u385) != _u387) | disjoint(_u387, _u385) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t8_boole ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t8_boole-1, axiom, ( ~empty(_u389) | ( _u389 = _u388) | ~empty(_u388) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t8_xboole_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t8_xboole_1-1, lemma, ( ~subset(_u392, _u391) | ~subset(_u390, _u391) | subset(set_union2(_u392, _u390), _u391) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t8_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t8_zfmisc_1-1, lemma, ( ( _u395 = _u394) | ( singleton(_u395) != unordered_pair(_u394, _u393)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t92_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t92_zfmisc_1-1, lemma, ( ~in(_u397, _u396) | subset(_u397, union(_u396)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t99_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t99_zfmisc_1-1, lemma, ( ( union(powerset(_u398)) = _u398) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t9_tarski ( axiom ) converted to clauses:
% 79.75/79.91 cnf(t9_tarski-1, axiom, ( in(_u406, skolem37(_u406)) )).
% 79.75/79.91 cnf(t9_tarski-2, axiom, ( ~in(_u400, skolem37(_u406)) | ~subset(_u399, _u400) | in(_u399, skolem37(_u406)) )).
% 79.75/79.91 cnf(t9_tarski-3, axiom, ( ~in(_u403, skolem37(_u406)) | in(skolem38(_u406, _u403), skolem37(_u406)) )).
% 79.75/79.91 cnf(t9_tarski-4, axiom, ( ~in(_u403, skolem37(_u406)) | ~subset(_u401, _u403) | in(_u401, skolem38(_u406, _u403)) )).
% 79.75/79.91 cnf(t9_tarski-5, axiom, ( ~subset(_u404, skolem37(_u406)) | are_equipotent(_u404, skolem37(_u406)) | in(_u404, skolem37(_u406)) )).
% 79.75/79.91
% 79.75/79.91 % Formula: t9_zfmisc_1 ( lemma ) converted to clauses:
% 79.75/79.91 cnf(t9_zfmisc_1-1, lemma, ( ( singleton(_u409) != unordered_pair(_u408, _u407)) | ( _u408 = _u407) )).
% 79.75/79.91
% 79.75/79.91 % Problem matrix:
% 79.75/79.91 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 79.75/79.91 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 79.75/79.91 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 79.75/79.91 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( union(__eqx_0) = union(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 79.75/79.91 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 79.75/79.91 cnf(matrix-23, 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)) )).
% 79.75/79.91 cnf(matrix-24, 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)) )).
% 79.75/79.91 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem14(__eqx_0, __eqx_1, __eqx_2) = skolem14(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-28, 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)) )).
% 79.75/79.91 cnf(matrix-29, 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)) )).
% 79.75/79.91 cnf(matrix-30, 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)) )).
% 79.75/79.91 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem20(__eqx_0, __eqx_1) = skolem20(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem21(__eqx_0, __eqx_1) = skolem21(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem22(__eqx_0, __eqx_1) = skolem22(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-34, 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)) )).
% 79.75/79.91 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem24(__eqx_0, __eqx_1, __eqx_2) = skolem24(__eqy_0, __eqy_1, __eqy_2)) )).
% 79.75/79.91 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( skolem25(__eqx_0) = skolem25(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( skolem29(__eqx_0) = skolem29(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( skolem32(__eqx_0) = skolem32(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem33(__eqx_0, __eqx_1) = skolem33(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem36(__eqx_0, __eqx_1) = skolem36(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( skolem37(__eqx_0) = skolem37(__eqy_0)) )).
% 79.75/79.91 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem38(__eqx_0, __eqx_1) = skolem38(__eqy_0, __eqy_1)) )).
% 79.75/79.91 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 79.75/79.91 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~proper_subset(__eqx_0, __eqx_1) | proper_subset(__eqy_0, __eqy_1) )).
% 79.75/79.91 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 79.75/79.91 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 79.75/79.91 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 79.75/79.91 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 79.75/79.91 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~are_equipotent(__eqx_0, __eqx_1) | are_equipotent(__eqy_0, __eqy_1) )).
% 79.75/79.91 cnf(matrix-52, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 79.75/79.91 cnf(matrix-53, plain, ( ~proper_subset(_u3, _u2) | ~proper_subset(_u2, _u3) )).
% 79.75/79.91 cnf(matrix-54, plain, ( ( unordered_pair(_u5, _u4) = unordered_pair(_u4, _u5)) )).
% 79.75/79.91 cnf(matrix-55, plain, ( ( set_union2(_u7, _u6) = set_union2(_u6, _u7)) )).
% 79.75/79.91 cnf(matrix-56, plain, ( ( set_intersection2(_u9, _u8) = set_intersection2(_u8, _u9)) )).
% 79.75/79.91 cnf(matrix-57, plain, ( ( _u14 != _u12) | subset(_u14, _u12) )).
% 79.75/79.91 cnf(matrix-58, plain, ( ( _u14 != _u12) | subset(_u12, _u14) )).
% 79.75/79.91 cnf(matrix-59, plain, ( ~subset(_u15, _u13) | ~subset(_u13, _u15) | ( _u15 = _u13) )).
% 79.75/79.91 cnf(matrix-60, plain, ( ( _u24 != singleton(_u26)) | ~in(_u20, _u24) | ( _u20 = _u26) )).
% 79.75/79.91 cnf(matrix-61, plain, ( ( _u24 != singleton(_u26)) | ( _u21 != _u26) | in(_u21, _u24) )).
% 79.75/79.91 cnf(matrix-62, plain, ( ( _u25 = singleton(_u27)) | in(skolem1(_u27, _u25), _u25) | ( skolem2(_u27, _u25) = _u27) )).
% 79.75/79.91 cnf(matrix-63, plain, ( ( _u25 = singleton(_u27)) | in(skolem1(_u27, _u25), _u25) | ~in(skolem2(_u27, _u25), _u25) )).
% 79.75/79.91 cnf(matrix-64, plain, ( ( _u25 = singleton(_u27)) | ( skolem1(_u27, _u25) != _u27) | ( skolem2(_u27, _u25) = _u27) )).
% 79.75/79.91 cnf(matrix-65, plain, ( ( _u25 = singleton(_u27)) | ( skolem1(_u27, _u25) != _u27) | ~in(skolem2(_u27, _u25), _u25) )).
% 79.75/79.91 cnf(matrix-66, plain, ( ( _u31 != empty_set) | ~in(_u28, _u31) )).
% 79.75/79.91 cnf(matrix-67, plain, ( in(skolem3(_u32), _u32) | ( _u32 = empty_set) )).
% 79.75/79.91 cnf(matrix-68, plain, ( ( _u41 != powerset(_u43)) | ~in(_u37, _u41) | subset(_u37, _u43) )).
% 79.75/79.91 cnf(matrix-69, plain, ( ( _u41 != powerset(_u43)) | ~subset(_u38, _u43) | in(_u38, _u41) )).
% 79.75/79.91 cnf(matrix-70, plain, ( ( _u42 = powerset(_u44)) | in(skolem4(_u44, _u42), _u42) | subset(skolem5(_u44, _u42), _u44) )).
% 79.75/79.91 cnf(matrix-71, plain, ( ( _u42 = powerset(_u44)) | in(skolem4(_u44, _u42), _u42) | ~in(skolem5(_u44, _u42), _u42) )).
% 79.75/79.91 cnf(matrix-72, plain, ( ( _u42 = powerset(_u44)) | ~subset(skolem4(_u44, _u42), _u44) | subset(skolem5(_u44, _u42), _u44) )).
% 79.75/79.91 cnf(matrix-73, plain, ( ( _u42 = powerset(_u44)) | ~subset(skolem4(_u44, _u42), _u44) | ~in(skolem5(_u44, _u42), _u42) )).
% 79.75/79.91 cnf(matrix-74, plain, ( empty(_u53) | ~element(_u49, _u53) | in(_u49, _u53) )).
% 79.75/79.91 cnf(matrix-75, plain, ( empty(_u53) | ~in(_u50, _u53) | element(_u50, _u53) )).
% 79.75/79.91 cnf(matrix-76, plain, ( ~empty(_u54) | ~element(_u51, _u54) | empty(_u51) )).
% 79.75/79.91 cnf(matrix-77, plain, ( ~empty(_u54) | ~empty(_u52) | element(_u52, _u54) )).
% 79.75/79.91 cnf(matrix-78, plain, ( ( _u64 != unordered_pair(_u68, _u66)) | ~in(_u60, _u64) | ( _u60 = _u68) | ( _u60 = _u66) )).
% 79.75/79.91 cnf(matrix-79, plain, ( ( _u64 != unordered_pair(_u68, _u66)) | in(_u61, _u64) | ( _u61 != _u68) )).
% 79.75/79.91 cnf(matrix-80, plain, ( ( _u64 != unordered_pair(_u68, _u66)) | in(_u61, _u64) | ( _u61 != _u66) )).
% 79.75/79.91 cnf(matrix-81, plain, ( ( _u65 = unordered_pair(_u69, _u67)) | in(skolem6(_u69, _u67, _u65), _u65) | ( skolem7(_u69, _u67, _u65) = _u69) | ( skolem7(_u69, _u67, _u65) = _u67) )).
% 79.75/79.91 cnf(matrix-82, plain, ( ( _u65 = unordered_pair(_u69, _u67)) | in(skolem6(_u69, _u67, _u65), _u65) | ~in(skolem7(_u69, _u67, _u65), _u65) )).
% 79.75/79.91 cnf(matrix-83, plain, ( ( _u65 = unordered_pair(_u69, _u67)) | ( skolem7(_u69, _u67, _u65) = _u69) | ( skolem7(_u69, _u67, _u65) = _u67) | ( skolem6(_u69, _u67, _u65) != _u69) )).
% 79.75/79.91 cnf(matrix-84, plain, ( ( _u65 = unordered_pair(_u69, _u67)) | ( skolem7(_u69, _u67, _u65) = _u69) | ( skolem7(_u69, _u67, _u65) = _u67) | ( skolem6(_u69, _u67, _u65) != _u67) )).
% 79.75/79.91 cnf(matrix-85, plain, ( ( _u65 = unordered_pair(_u69, _u67)) | ~in(skolem7(_u69, _u67, _u65), _u65) | ( skolem6(_u69, _u67, _u65) != _u69) )).
% 79.75/79.91 cnf(matrix-86, plain, ( ( _u65 = unordered_pair(_u69, _u67)) | ~in(skolem7(_u69, _u67, _u65), _u65) | ( skolem6(_u69, _u67, _u65) != _u67) )).
% 79.75/79.91 cnf(matrix-87, plain, ( ( _u79 != set_union2(_u83, _u81)) | ~in(_u75, _u79) | in(_u75, _u83) | in(_u75, _u81) )).
% 79.75/79.91 cnf(matrix-88, plain, ( ( _u79 != set_union2(_u83, _u81)) | in(_u76, _u79) | ~in(_u76, _u83) )).
% 79.75/79.91 cnf(matrix-89, plain, ( ( _u79 != set_union2(_u83, _u81)) | in(_u76, _u79) | ~in(_u76, _u81) )).
% 79.75/79.91 cnf(matrix-90, plain, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem8(_u84, _u82, _u80), _u80) | in(skolem9(_u84, _u82, _u80), _u84) | in(skolem9(_u84, _u82, _u80), _u82) )).
% 79.75/79.91 cnf(matrix-91, plain, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem8(_u84, _u82, _u80), _u80) | ~in(skolem9(_u84, _u82, _u80), _u80) )).
% 79.75/79.91 cnf(matrix-92, plain, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem9(_u84, _u82, _u80), _u84) | in(skolem9(_u84, _u82, _u80), _u82) | ~in(skolem8(_u84, _u82, _u80), _u84) )).
% 79.75/79.91 cnf(matrix-93, plain, ( ( _u80 = set_union2(_u84, _u82)) | in(skolem9(_u84, _u82, _u80), _u84) | in(skolem9(_u84, _u82, _u80), _u82) | ~in(skolem8(_u84, _u82, _u80), _u82) )).
% 79.75/79.91 cnf(matrix-94, plain, ( ( _u80 = set_union2(_u84, _u82)) | ~in(skolem9(_u84, _u82, _u80), _u80) | ~in(skolem8(_u84, _u82, _u80), _u84) )).
% 79.75/79.91 cnf(matrix-95, plain, ( ( _u80 = set_union2(_u84, _u82)) | ~in(skolem9(_u84, _u82, _u80), _u80) | ~in(skolem8(_u84, _u82, _u80), _u82) )).
% 79.75/79.91 cnf(matrix-96, plain, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u98, _u102) | in(skolem10(_u106, _u104, _u102, _u98), _u106) )).
% 79.75/79.91 cnf(matrix-97, plain, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u98, _u102) | in(skolem11(_u106, _u104, _u102, _u98), _u104) )).
% 79.75/79.91 cnf(matrix-98, plain, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u98, _u102) | ( _u98 = ordered_pair(skolem10(_u106, _u104, _u102, _u98), skolem11(_u106, _u104, _u102, _u98))) )).
% 79.75/79.91 cnf(matrix-99, plain, ( ( _u102 != cartesian_product2(_u106, _u104)) | ~in(_u88, _u106) | ~in(_u87, _u104) | ( _u99 != ordered_pair(_u88, _u87)) | in(_u99, _u102) )).
% 79.75/79.91 cnf(matrix-100, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | in(skolem14(_u107, _u105, _u103), _u107) )).
% 79.75/79.91 cnf(matrix-101, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | in(skolem15(_u107, _u105, _u103), _u105) )).
% 79.75/79.91 cnf(matrix-102, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | ( skolem13(_u107, _u105, _u103) = ordered_pair(skolem14(_u107, _u105, _u103), skolem15(_u107, _u105, _u103))) )).
% 79.75/79.91 cnf(matrix-103, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | in(skolem12(_u107, _u105, _u103), _u103) | ~in(skolem13(_u107, _u105, _u103), _u103) )).
% 79.75/79.91 cnf(matrix-104, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | in(skolem14(_u107, _u105, _u103), _u107) )).
% 79.75/79.91 cnf(matrix-105, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | in(skolem15(_u107, _u105, _u103), _u105) )).
% 79.75/79.91 cnf(matrix-106, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | ( skolem13(_u107, _u105, _u103) = ordered_pair(skolem14(_u107, _u105, _u103), skolem15(_u107, _u105, _u103))) )).
% 79.75/79.91 cnf(matrix-107, plain, ( ( _u103 = cartesian_product2(_u107, _u105)) | ~in(_u91, _u107) | ~in(_u90, _u105) | ( skolem12(_u107, _u105, _u103) != ordered_pair(_u91, _u90)) | ~in(skolem13(_u107, _u105, _u103), _u103) )).
% 79.75/79.91 cnf(matrix-108, plain, ( ~subset(_u114, _u112) | ~in(_u108, _u114) | in(_u108, _u112) )).
% 79.75/79.91 cnf(matrix-109, plain, ( subset(_u115, _u113) | in(skolem16(_u115, _u113), _u115) )).
% 79.75/79.91 cnf(matrix-110, plain, ( subset(_u115, _u113) | ~in(skolem16(_u115, _u113), _u113) )).
% 79.75/79.91 cnf(matrix-111, plain, ( ( _u125 != set_intersection2(_u129, _u127)) | ~in(_u121, _u125) | in(_u121, _u129) )).
% 79.75/79.91 cnf(matrix-112, plain, ( ( _u125 != set_intersection2(_u129, _u127)) | ~in(_u121, _u125) | in(_u121, _u127) )).
% 79.75/79.91 cnf(matrix-113, plain, ( ( _u125 != set_intersection2(_u129, _u127)) | ~in(_u122, _u129) | ~in(_u122, _u127) | in(_u122, _u125) )).
% 79.75/79.91 cnf(matrix-114, plain, ( ( _u126 = set_intersection2(_u130, _u128)) | in(skolem17(_u130, _u128, _u126), _u126) | in(skolem18(_u130, _u128, _u126), _u130) )).
% 79.75/79.91 cnf(matrix-115, plain, ( ( _u126 = set_intersection2(_u130, _u128)) | in(skolem17(_u130, _u128, _u126), _u126) | in(skolem18(_u130, _u128, _u126), _u128) )).
% 79.75/79.91 cnf(matrix-116, plain, ( ( _u126 = set_intersection2(_u130, _u128)) | in(skolem17(_u130, _u128, _u126), _u126) | ~in(skolem18(_u130, _u128, _u126), _u126) )).
% 79.75/79.91 cnf(matrix-117, plain, ( ( _u126 = set_intersection2(_u130, _u128)) | ~in(skolem17(_u130, _u128, _u126), _u130) | ~in(skolem17(_u130, _u128, _u126), _u128) | in(skolem18(_u130, _u128, _u126), _u130) )).
% 79.75/79.91 cnf(matrix-118, plain, ( ( _u126 = set_intersection2(_u130, _u128)) | ~in(skolem17(_u130, _u128, _u126), _u130) | ~in(skolem17(_u130, _u128, _u126), _u128) | in(skolem18(_u130, _u128, _u126), _u128) )).
% 79.75/79.91 cnf(matrix-119, plain, ( ( _u126 = set_intersection2(_u130, _u128)) | ~in(skolem17(_u130, _u128, _u126), _u130) | ~in(skolem17(_u130, _u128, _u126), _u128) | ~in(skolem18(_u130, _u128, _u126), _u126) )).
% 79.75/79.91 cnf(matrix-120, plain, ( ( _u143 != union(_u145)) | ~in(_u139, _u143) | in(_u139, skolem19(_u145, _u143, _u139)) )).
% 79.75/79.91 cnf(matrix-121, plain, ( ( _u143 != union(_u145)) | ~in(_u139, _u143) | in(skolem19(_u145, _u143, _u139), _u145) )).
% 79.75/79.91 cnf(matrix-122, plain, ( ( _u143 != union(_u145)) | ~in(_u140, _u132) | ~in(_u132, _u145) | in(_u140, _u143) )).
% 79.75/79.91 cnf(matrix-123, plain, ( ( _u144 = union(_u146)) | in(skolem20(_u146, _u144), _u144) | in(skolem21(_u146, _u144), skolem22(_u146, _u144)) )).
% 79.75/79.91 cnf(matrix-124, plain, ( ( _u144 = union(_u146)) | in(skolem20(_u146, _u144), _u144) | in(skolem22(_u146, _u144), _u146) )).
% 79.75/79.91 cnf(matrix-125, plain, ( ( _u144 = union(_u146)) | in(skolem20(_u146, _u144), _u144) | ~in(skolem21(_u146, _u144), _u144) )).
% 79.75/79.91 cnf(matrix-126, plain, ( ( _u144 = union(_u146)) | ~in(skolem20(_u146, _u144), _u134) | ~in(_u134, _u146) | in(skolem21(_u146, _u144), skolem22(_u146, _u144)) )).
% 79.75/79.91 cnf(matrix-127, plain, ( ( _u144 = union(_u146)) | ~in(skolem20(_u146, _u144), _u134) | ~in(_u134, _u146) | in(skolem22(_u146, _u144), _u146) )).
% 79.75/79.91 cnf(matrix-128, plain, ( ( _u144 = union(_u146)) | ~in(skolem20(_u146, _u144), _u134) | ~in(_u134, _u146) | ~in(skolem21(_u146, _u144), _u144) )).
% 79.75/79.91 cnf(matrix-129, plain, ( ( _u156 != set_difference(_u160, _u158)) | ~in(_u152, _u156) | in(_u152, _u160) )).
% 79.75/79.91 cnf(matrix-130, plain, ( ( _u156 != set_difference(_u160, _u158)) | ~in(_u152, _u156) | ~in(_u152, _u158) )).
% 79.75/79.91 cnf(matrix-131, plain, ( ( _u156 != set_difference(_u160, _u158)) | ~in(_u153, _u160) | in(_u153, _u158) | in(_u153, _u156) )).
% 79.75/79.91 cnf(matrix-132, plain, ( ( _u157 = set_difference(_u161, _u159)) | in(skolem23(_u161, _u159, _u157), _u157) | in(skolem24(_u161, _u159, _u157), _u161) )).
% 79.75/79.91 cnf(matrix-133, plain, ( ( _u157 = set_difference(_u161, _u159)) | in(skolem23(_u161, _u159, _u157), _u157) | ~in(skolem24(_u161, _u159, _u157), _u159) )).
% 79.75/79.91 cnf(matrix-134, plain, ( ( _u157 = set_difference(_u161, _u159)) | in(skolem23(_u161, _u159, _u157), _u157) | ~in(skolem24(_u161, _u159, _u157), _u157) )).
% 79.75/79.91 cnf(matrix-135, plain, ( ( _u157 = set_difference(_u161, _u159)) | ~in(skolem23(_u161, _u159, _u157), _u161) | in(skolem23(_u161, _u159, _u157), _u159) | in(skolem24(_u161, _u159, _u157), _u161) )).
% 79.75/79.91 cnf(matrix-136, plain, ( ( _u157 = set_difference(_u161, _u159)) | ~in(skolem23(_u161, _u159, _u157), _u161) | in(skolem23(_u161, _u159, _u157), _u159) | ~in(skolem24(_u161, _u159, _u157), _u159) )).
% 79.75/79.91 cnf(matrix-137, plain, ( ( _u157 = set_difference(_u161, _u159)) | ~in(skolem23(_u161, _u159, _u157), _u161) | in(skolem23(_u161, _u159, _u157), _u159) | ~in(skolem24(_u161, _u159, _u157), _u157) )).
% 79.75/79.91 cnf(matrix-138, plain, ( ( ordered_pair(_u163, _u162) = unordered_pair(unordered_pair(_u163, _u162), singleton(_u163))) )).
% 79.75/79.91 cnf(matrix-139, plain, ( ~disjoint(_u168, _u166) | ( set_intersection2(_u168, _u166) = empty_set) )).
% 79.75/79.91 cnf(matrix-140, plain, ( ( set_intersection2(_u169, _u167) != empty_set) | disjoint(_u169, _u167) )).
% 79.75/79.91 cnf(matrix-141, plain, ( ~proper_subset(_u174, _u172) | subset(_u174, _u172) )).
% 79.75/79.91 cnf(matrix-142, plain, ( ~proper_subset(_u174, _u172) | ( _u174 != _u172) )).
% 79.75/79.91 cnf(matrix-143, plain, ( ~subset(_u175, _u173) | ( _u175 = _u173) | proper_subset(_u175, _u173) )).
% 79.75/79.91 cnf(matrix-144, plain, ( element(skolem25(_u177), _u177) )).
% 79.75/79.91 cnf(matrix-145, plain, ( ~empty(powerset(_u178)) )).
% 79.75/79.91 cnf(matrix-146, plain, ( empty(empty_set) )).
% 79.75/79.91 cnf(matrix-147, plain, ( ~empty(ordered_pair(_u180, _u179)) )).
% 79.75/79.91 cnf(matrix-148, plain, ( empty(_u182) | ~empty(set_union2(_u182, _u181)) )).
% 79.75/79.91 cnf(matrix-149, plain, ( empty(_u184) | ~empty(set_union2(_u183, _u184)) )).
% 79.75/79.91 cnf(matrix-150, plain, ( ( set_union2(_u186, _u186) = _u186) )).
% 79.75/79.91 cnf(matrix-151, plain, ( ( set_intersection2(_u188, _u188) = _u188) )).
% 79.75/79.91 cnf(matrix-152, plain, ( ~proper_subset(_u190, _u190) )).
% 79.75/79.91 cnf(matrix-153, plain, ( ( singleton(_u191) != empty_set) )).
% 79.75/79.91 cnf(matrix-154, plain, ( ~in(_u193, _u192) | ( set_union2(singleton(_u193), _u192) = _u192) )).
% 79.75/79.91 cnf(matrix-155, plain, ( ~disjoint(singleton(_u195), _u194) | ~in(_u195, _u194) )).
% 79.75/79.91 cnf(matrix-156, plain, ( in(_u197, _u196) | disjoint(singleton(_u197), _u196) )).
% 79.75/79.91 cnf(matrix-157, plain, ( ~subset(singleton(_u202), _u200) | in(_u202, _u200) )).
% 79.75/79.91 cnf(matrix-158, plain, ( ~in(_u203, _u201) | subset(singleton(_u203), _u201) )).
% 79.75/79.91 cnf(matrix-159, plain, ( ( set_difference(_u208, _u206) != empty_set) | subset(_u208, _u206) )).
% 79.75/79.91 cnf(matrix-160, plain, ( ~subset(_u209, _u207) | ( set_difference(_u209, _u207) = empty_set) )).
% 79.75/79.91 cnf(matrix-161, plain, ( element(skolem27, powerset(skolem26)) )).
% 79.75/79.91 cnf(matrix-162, plain, ( in(skolem28, skolem27) )).
% 79.75/79.91 cnf(matrix-163, plain, ( ~in(skolem28, skolem26) )).
% 79.75/79.91 cnf(matrix-164, plain, ( ~subset(_u215, _u214) | in(_u213, _u215) | subset(_u215, set_difference(_u214, singleton(_u213))) )).
% 79.75/79.91 cnf(matrix-165, plain, ( ~subset(_u220, singleton(_u218)) | ( _u220 = empty_set) | ( _u220 = singleton(_u218)) )).
% 79.75/79.91 cnf(matrix-166, plain, ( subset(_u221, singleton(_u219)) | ( _u221 != empty_set) )).
% 79.75/79.91 cnf(matrix-167, plain, ( subset(_u221, singleton(_u219)) | ( _u221 != singleton(_u219)) )).
% 79.75/79.91 cnf(matrix-168, plain, ( ~in(_u223, _u222) | subset(_u223, union(_u222)) )).
% 79.75/79.91 cnf(matrix-169, plain, ( ~in(ordered_pair(_u234, _u232), cartesian_product2(_u230, _u228)) | in(_u234, _u230) )).
% 79.75/79.91 cnf(matrix-170, plain, ( ~in(ordered_pair(_u234, _u232), cartesian_product2(_u230, _u228)) | in(_u232, _u228) )).
% 79.75/79.91 cnf(matrix-171, plain, ( ~in(_u235, _u231) | ~in(_u233, _u229) | in(ordered_pair(_u235, _u233), cartesian_product2(_u231, _u229)) )).
% 79.75/79.91 cnf(matrix-172, plain, ( empty(_u237) | element(skolem29(_u237), powerset(_u237)) )).
% 79.75/79.91 cnf(matrix-173, plain, ( empty(_u237) | ~empty(skolem29(_u237)) )).
% 79.75/79.91 cnf(matrix-174, plain, ( empty(skolem30) )).
% 79.75/79.91 cnf(matrix-175, plain, ( ~empty(skolem31) )).
% 79.75/79.91 cnf(matrix-176, plain, ( subset(_u241, _u241) )).
% 79.75/79.91 cnf(matrix-177, plain, ( ~disjoint(_u243, _u242) | disjoint(_u242, _u243) )).
% 79.75/79.91 cnf(matrix-178, plain, ( ~in(ordered_pair(_u254, _u252), cartesian_product2(_u250, _u248)) | in(_u254, _u250) )).
% 79.75/79.91 cnf(matrix-179, plain, ( ~in(ordered_pair(_u254, _u252), cartesian_product2(_u250, _u248)) | in(_u252, _u248) )).
% 79.75/79.91 cnf(matrix-180, plain, ( ~in(_u255, _u251) | ~in(_u253, _u249) | in(ordered_pair(_u255, _u253), cartesian_product2(_u251, _u249)) )).
% 79.75/79.91 cnf(matrix-181, plain, ( ( _u259 = _u257) | ( unordered_pair(_u259, _u258) != unordered_pair(_u257, _u256)) | ( _u259 = _u256) )).
% 79.75/79.91 cnf(matrix-182, plain, ( ~subset(_u262, _u261) | subset(cartesian_product2(_u262, _u263), cartesian_product2(_u261, _u263)) )).
% 79.75/79.91 cnf(matrix-183, plain, ( ~subset(_u262, _u261) | subset(cartesian_product2(_u264, _u262), cartesian_product2(_u264, _u261)) )).
% 79.75/79.91 cnf(matrix-184, plain, ( ~subset(_u268, _u267) | ~subset(_u266, _u265) | subset(cartesian_product2(_u268, _u266), cartesian_product2(_u267, _u265)) )).
% 79.75/79.91 cnf(matrix-185, plain, ( ~subset(_u270, _u269) | ( set_union2(_u270, _u269) = _u269) )).
% 79.75/79.91 cnf(matrix-186, plain, ( in(_u276, skolem32(_u276)) )).
% 79.75/79.91 cnf(matrix-187, plain, ( ~in(_u272, skolem32(_u276)) | ~subset(_u271, _u272) | in(_u271, skolem32(_u276)) )).
% 79.75/79.91 cnf(matrix-188, plain, ( ~in(_u273, skolem32(_u276)) | in(powerset(_u273), skolem32(_u276)) )).
% 79.75/79.91 cnf(matrix-189, plain, ( ~subset(_u274, skolem32(_u276)) | are_equipotent(_u274, skolem32(_u276)) | in(_u274, skolem32(_u276)) )).
% 79.75/79.91 cnf(matrix-190, plain, ( subset(set_intersection2(_u278, _u277), _u278) )).
% 79.75/79.91 cnf(matrix-191, plain, ( ~subset(_u281, _u280) | ~subset(_u281, _u279) | subset(_u281, set_intersection2(_u280, _u279)) )).
% 79.75/79.91 cnf(matrix-192, plain, ( ( set_union2(_u282, empty_set) = _u282) )).
% 79.75/79.91 cnf(matrix-193, plain, ( ~subset(_u285, _u284) | ~subset(_u284, _u283) | subset(_u285, _u283) )).
% 79.75/79.91 cnf(matrix-194, plain, ( ( powerset(empty_set) = singleton(empty_set)) )).
% 79.75/79.91 cnf(matrix-195, plain, ( ~subset(_u288, _u287) | subset(set_intersection2(_u288, _u286), set_intersection2(_u287, _u286)) )).
% 79.75/79.91 cnf(matrix-196, plain, ( ~subset(_u290, _u289) | ( set_intersection2(_u290, _u289) = _u290) )).
% 79.75/79.91 cnf(matrix-197, plain, ( ( set_intersection2(_u291, empty_set) = empty_set) )).
% 79.75/79.91 cnf(matrix-198, plain, ( ( _u294 = _u293) | in(skolem33(_u294, _u293), _u294) | in(skolem34(_u294, _u293), _u293) )).
% 79.75/79.91 cnf(matrix-199, plain, ( ( _u294 = _u293) | in(skolem33(_u294, _u293), _u294) | ~in(skolem34(_u294, _u293), _u294) )).
% 79.75/79.91 cnf(matrix-200, plain, ( ( _u294 = _u293) | ~in(skolem33(_u294, _u293), _u293) | in(skolem34(_u294, _u293), _u293) )).
% 79.75/79.91 cnf(matrix-201, plain, ( ( _u294 = _u293) | ~in(skolem33(_u294, _u293), _u293) | ~in(skolem34(_u294, _u293), _u294) )).
% 79.75/79.91 cnf(matrix-202, plain, ( subset(empty_set, _u297) )).
% 79.75/79.91 cnf(matrix-203, plain, ( ~subset(_u300, _u299) | subset(set_difference(_u300, _u298), set_difference(_u299, _u298)) )).
% 79.75/79.91 cnf(matrix-204, plain, ( ( ordered_pair(_u304, _u303) != ordered_pair(_u302, _u301)) | ( _u304 = _u302) )).
% 79.75/79.91 cnf(matrix-205, plain, ( ( ordered_pair(_u304, _u303) != ordered_pair(_u302, _u301)) | ( _u303 = _u301) )).
% 79.75/79.91 cnf(matrix-206, plain, ( subset(set_difference(_u306, _u305), _u306) )).
% 79.75/79.91 cnf(matrix-207, plain, ( ( set_difference(_u311, _u309) != empty_set) | subset(_u311, _u309) )).
% 79.75/79.91 cnf(matrix-208, plain, ( ~subset(_u312, _u310) | ( set_difference(_u312, _u310) = empty_set) )).
% 79.75/79.91 cnf(matrix-209, plain, ( ~subset(singleton(_u317), _u315) | in(_u317, _u315) )).
% 79.75/79.91 cnf(matrix-210, plain, ( ~in(_u318, _u316) | subset(singleton(_u318), _u316) )).
% 79.75/79.91 cnf(matrix-211, plain, ( ~subset(unordered_pair(_u326, _u324), _u322) | in(_u326, _u322) )).
% 79.75/79.91 cnf(matrix-212, plain, ( ~subset(unordered_pair(_u326, _u324), _u322) | in(_u324, _u322) )).
% 79.75/79.91 cnf(matrix-213, plain, ( ~in(_u327, _u323) | ~in(_u325, _u323) | subset(unordered_pair(_u327, _u325), _u323) )).
% 79.75/79.91 cnf(matrix-214, plain, ( ( set_union2(_u329, set_difference(_u328, _u329)) = set_union2(_u329, _u328)) )).
% 79.75/79.91 cnf(matrix-215, plain, ( ~subset(_u334, singleton(_u332)) | ( _u334 = empty_set) | ( _u334 = singleton(_u332)) )).
% 79.75/79.91 cnf(matrix-216, plain, ( subset(_u335, singleton(_u333)) | ( _u335 != empty_set) )).
% 79.75/79.91 cnf(matrix-217, plain, ( subset(_u335, singleton(_u333)) | ( _u335 != singleton(_u333)) )).
% 79.75/79.91 cnf(matrix-218, plain, ( ( set_difference(_u336, empty_set) = _u336) )).
% 79.75/79.91 cnf(matrix-219, plain, ( disjoint(_u343, _u341) | in(skolem35(_u343, _u341), _u343) )).
% 79.75/79.91 cnf(matrix-220, plain, ( disjoint(_u343, _u341) | in(skolem35(_u343, _u341), _u341) )).
% 79.75/79.91 cnf(matrix-221, plain, ( ~in(_u338, _u344) | ~in(_u338, _u342) | ~disjoint(_u344, _u342) )).
% 79.75/79.91 cnf(matrix-222, plain, ( ~subset(_u345, empty_set) | ( _u345 = empty_set) )).
% 79.75/79.91 cnf(matrix-223, plain, ( ( set_difference(set_union2(_u347, _u346), _u346) = set_difference(_u347, _u346)) )).
% 79.75/79.91 cnf(matrix-224, plain, ( ~subset(_u349, _u348) | ( _u348 = set_union2(_u349, set_difference(_u348, _u349))) )).
% 79.75/79.91 cnf(matrix-225, plain, ( ~in(_u351, _u350) | ( set_union2(singleton(_u351), _u350) = _u350) )).
% 79.75/79.91 cnf(matrix-226, plain, ( ( set_difference(_u353, set_difference(_u353, _u352)) = set_intersection2(_u353, _u352)) )).
% 79.75/79.91 cnf(matrix-227, plain, ( ( set_difference(empty_set, _u354) = empty_set) )).
% 79.75/79.91 cnf(matrix-228, plain, ( disjoint(_u361, _u359) | in(skolem36(_u361, _u359), set_intersection2(_u361, _u359)) )).
% 79.75/79.91 cnf(matrix-229, plain, ( ~in(_u356, set_intersection2(_u362, _u360)) | ~disjoint(_u362, _u360) )).
% 79.75/79.91 cnf(matrix-230, plain, ( ~subset(_u364, _u363) | ~proper_subset(_u363, _u364) )).
% 79.75/79.91 cnf(matrix-231, plain, ( ~subset(_u367, _u366) | ~disjoint(_u366, _u365) | disjoint(_u367, _u365) )).
% 79.75/79.91 cnf(matrix-232, plain, ( ( set_difference(_u372, singleton(_u370)) != _u372) | ~in(_u370, _u372) )).
% 79.75/79.91 cnf(matrix-233, plain, ( in(_u371, _u373) | ( set_difference(_u373, singleton(_u371)) = _u373) )).
% 79.75/79.91 cnf(matrix-234, plain, ( ( unordered_pair(_u374, _u374) = singleton(_u374)) )).
% 79.75/79.91 cnf(matrix-235, plain, ( ~empty(_u375) | ( _u375 = empty_set) )).
% 79.75/79.91 cnf(matrix-236, plain, ( ~subset(singleton(_u377), singleton(_u376)) | ( _u377 = _u376) )).
% 79.75/79.91 cnf(matrix-237, plain, ( ~in(_u379, _u378) | ~empty(_u378) )).
% 79.75/79.91 cnf(matrix-238, plain, ( subset(_u381, set_union2(_u381, _u380)) )).
% 79.75/79.91 cnf(matrix-239, plain, ( ~disjoint(_u386, _u384) | ( set_difference(_u386, _u384) = _u386) )).
% 79.75/79.91 cnf(matrix-240, plain, ( ( set_difference(_u387, _u385) != _u387) | disjoint(_u387, _u385) )).
% 79.75/79.91 cnf(matrix-241, plain, ( ~empty(_u389) | ( _u389 = _u388) | ~empty(_u388) )).
% 79.75/79.91 cnf(matrix-242, plain, ( ~subset(_u392, _u391) | ~subset(_u390, _u391) | subset(set_union2(_u392, _u390), _u391) )).
% 79.75/79.91 cnf(matrix-243, plain, ( ( _u395 = _u394) | ( singleton(_u395) != unordered_pair(_u394, _u393)) )).
% 79.75/79.91 cnf(matrix-244, plain, ( ~in(_u397, _u396) | subset(_u397, union(_u396)) )).
% 79.75/79.91 cnf(matrix-245, plain, ( ( union(powerset(_u398)) = _u398) )).
% 79.75/79.91 cnf(matrix-246, plain, ( in(_u406, skolem37(_u406)) )).
% 79.75/79.91 cnf(matrix-247, plain, ( ~in(_u400, skolem37(_u406)) | ~subset(_u399, _u400) | in(_u399, skolem37(_u406)) )).
% 79.75/79.91 cnf(matrix-248, plain, ( ~in(_u403, skolem37(_u406)) | in(skolem38(_u406, _u403), skolem37(_u406)) )).
% 79.75/79.91 cnf(matrix-249, plain, ( ~in(_u403, skolem37(_u406)) | ~subset(_u401, _u403) | in(_u401, skolem38(_u406, _u403)) )).
% 79.75/79.91 cnf(matrix-250, plain, ( ~subset(_u404, skolem37(_u406)) | are_equipotent(_u404, skolem37(_u406)) | in(_u404, skolem37(_u406)) )).
% 79.75/79.91 cnf(matrix-251, plain, ( ( singleton(_u409) != unordered_pair(_u408, _u407)) | ( _u408 = _u407) )).
% 79.75/79.91
% 79.75/79.91 % Proof stack:
% 79.75/79.91 cnf(proof-stack, plain,
% 79.75/79.91 proof_stack(
% 79.75/79.91 start(163),
% 79.75/79.91 left_branch(0, 122, 3, 2),
% 79.75/79.91 left_branch(0, 1, 1, 3),
% 79.75/79.91 left_branch(0, 245, 0, 4),
% 79.75/79.91 right_branch(4),
% 79.75/79.91 right_branch(3),
% 79.75/79.91 left_branch(0, 74, 2, 4),
% 79.75/79.91 left_branch(0, 145, 0, 5),
% 79.75/79.91 right_branch(5),
% 79.75/79.91 left_branch(0, 161, 0, 6),
% 79.75/79.91 right_branch(6),
% 79.75/79.91 right_branch(4),
% 79.75/79.91 left_branch(0, 162, 0, 5),
% 79.75/79.91 right_branch(5),
% 79.75/79.91 right_branch(2)
% 79.75/79.91 )).
% 79.75/79.91 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------