TSTP Solution File: SEU317+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU317+1 : 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 : n020.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 : Wed Mar 6 09:20:50 EST 2024
% Result : Theorem 5.20s 5.37s
% Output : Proof 5.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Mar 3 09:38:19 EST 2024
% 0.13/0.35 % CPUTime :
% 5.20/5.37 % SZS status Theorem for theBenchmark
% 5.20/5.37 % SZS output start Proof for theBenchmark
% 5.20/5.37
% 5.20/5.37 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 5.20/5.37 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc10_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc10_membered-1, axiom, ( ~v1_membered(_u3) | ~element(_u2, _u3) | v1_xcmplx_0(_u2) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc11_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc11_membered-1, axiom, ( ~v2_membered(_u5) | ~element(_u4, _u5) | v1_xcmplx_0(_u4) )).
% 5.20/5.37 cnf(cc11_membered-2, axiom, ( ~v2_membered(_u5) | ~element(_u4, _u5) | v1_xreal_0(_u4) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc12_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc12_membered-1, axiom, ( ~v3_membered(_u7) | ~element(_u6, _u7) | v1_xcmplx_0(_u6) )).
% 5.20/5.37 cnf(cc12_membered-2, axiom, ( ~v3_membered(_u7) | ~element(_u6, _u7) | v1_xreal_0(_u6) )).
% 5.20/5.37 cnf(cc12_membered-3, axiom, ( ~v3_membered(_u7) | ~element(_u6, _u7) | v1_rat_1(_u6) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc13_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc13_membered-1, axiom, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_xcmplx_0(_u8) )).
% 5.20/5.37 cnf(cc13_membered-2, axiom, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_xreal_0(_u8) )).
% 5.20/5.37 cnf(cc13_membered-3, axiom, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_int_1(_u8) )).
% 5.20/5.37 cnf(cc13_membered-4, axiom, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_rat_1(_u8) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc14_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc14_membered-1, axiom, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_xcmplx_0(_u10) )).
% 5.20/5.37 cnf(cc14_membered-2, axiom, ( ~v5_membered(_u11) | ~element(_u10, _u11) | natural(_u10) )).
% 5.20/5.37 cnf(cc14_membered-3, axiom, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_xreal_0(_u10) )).
% 5.20/5.37 cnf(cc14_membered-4, axiom, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_int_1(_u10) )).
% 5.20/5.37 cnf(cc14_membered-5, axiom, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_rat_1(_u10) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc15_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc15_membered-1, axiom, ( ~empty(_u12) | v1_membered(_u12) )).
% 5.20/5.37 cnf(cc15_membered-2, axiom, ( ~empty(_u12) | v2_membered(_u12) )).
% 5.20/5.37 cnf(cc15_membered-3, axiom, ( ~empty(_u12) | v3_membered(_u12) )).
% 5.20/5.37 cnf(cc15_membered-4, axiom, ( ~empty(_u12) | v4_membered(_u12) )).
% 5.20/5.37 cnf(cc15_membered-5, axiom, ( ~empty(_u12) | v5_membered(_u12) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc16_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc16_membered-1, axiom, ( ~v1_membered(_u14) | ~element(_u13, powerset(_u14)) | v1_membered(_u13) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc17_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc17_membered-1, axiom, ( ~v2_membered(_u16) | ~element(_u15, powerset(_u16)) | v1_membered(_u15) )).
% 5.20/5.37 cnf(cc17_membered-2, axiom, ( ~v2_membered(_u16) | ~element(_u15, powerset(_u16)) | v2_membered(_u15) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc18_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc18_membered-1, axiom, ( ~v3_membered(_u18) | ~element(_u17, powerset(_u18)) | v1_membered(_u17) )).
% 5.20/5.37 cnf(cc18_membered-2, axiom, ( ~v3_membered(_u18) | ~element(_u17, powerset(_u18)) | v2_membered(_u17) )).
% 5.20/5.37 cnf(cc18_membered-3, axiom, ( ~v3_membered(_u18) | ~element(_u17, powerset(_u18)) | v3_membered(_u17) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc19_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc19_membered-1, axiom, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v1_membered(_u19) )).
% 5.20/5.37 cnf(cc19_membered-2, axiom, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v2_membered(_u19) )).
% 5.20/5.37 cnf(cc19_membered-3, axiom, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v3_membered(_u19) )).
% 5.20/5.37 cnf(cc19_membered-4, axiom, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v4_membered(_u19) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc1_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc1_membered-1, axiom, ( ~v5_membered(_u21) | v4_membered(_u21) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc20_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc20_membered-1, axiom, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v1_membered(_u22) )).
% 5.20/5.37 cnf(cc20_membered-2, axiom, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v2_membered(_u22) )).
% 5.20/5.37 cnf(cc20_membered-3, axiom, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v3_membered(_u22) )).
% 5.20/5.37 cnf(cc20_membered-4, axiom, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v4_membered(_u22) )).
% 5.20/5.37 cnf(cc20_membered-5, axiom, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v5_membered(_u22) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc2_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc2_membered-1, axiom, ( ~v4_membered(_u24) | v3_membered(_u24) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc3_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc3_membered-1, axiom, ( ~v3_membered(_u25) | v2_membered(_u25) )).
% 5.20/5.37
% 5.20/5.37 % Formula: cc4_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(cc4_membered-1, axiom, ( ~v2_membered(_u26) | v1_membered(_u26) )).
% 5.20/5.37
% 5.20/5.37 % Formula: d3_tarski ( axiom ) converted to clauses:
% 5.20/5.37 cnf(d3_tarski-1, axiom, ( ~subset(_u33, _u31) | ~in(_u27, _u33) | in(_u27, _u31) )).
% 5.20/5.37 cnf(d3_tarski-2, axiom, ( subset(_u34, _u32) | in(skolem1(_u34, _u32), _u34) )).
% 5.20/5.37 cnf(d3_tarski-3, axiom, ( subset(_u34, _u32) | ~in(skolem1(_u34, _u32), _u32) )).
% 5.20/5.37
% 5.20/5.37 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 5.20/5.37
% 5.20/5.37 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 5.20/5.37
% 5.20/5.37 % Formula: dt_k6_pre_topc ( axiom ) converted to clauses:
% 5.20/5.37 cnf(dt_k6_pre_topc-1, axiom, ( ~top_str(_u36) | ~element(_u35, powerset(the_carrier(_u36))) | element(topstr_closure(_u36, _u35), powerset(the_carrier(_u36))) )).
% 5.20/5.37
% 5.20/5.37 % Formula: dt_l1_pre_topc ( axiom ) converted to clauses:
% 5.20/5.37 cnf(dt_l1_pre_topc-1, axiom, ( ~top_str(_u37) | one_sorted_str(_u37) )).
% 5.20/5.37
% 5.20/5.37 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 5.20/5.37
% 5.20/5.37 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 5.20/5.37
% 5.20/5.37 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 5.20/5.37
% 5.20/5.37 % Formula: existence_l1_pre_topc ( axiom ) converted to clauses:
% 5.20/5.37 cnf(existence_l1_pre_topc-1, axiom, ( top_str(skolem2) )).
% 5.20/5.37
% 5.20/5.37 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 5.20/5.37 cnf(existence_l1_struct_0-1, axiom, ( one_sorted_str(skolem3) )).
% 5.20/5.37
% 5.20/5.37 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 5.20/5.37 cnf(existence_m1_subset_1-1, axiom, ( element(skolem4(_u41), _u41) )).
% 5.20/5.37
% 5.20/5.37 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 5.20/5.37 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u42)) )).
% 5.20/5.37
% 5.20/5.37 % Formula: fc6_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(fc6_membered-1, axiom, ( empty(empty_set) )).
% 5.20/5.37 cnf(fc6_membered-2, axiom, ( v1_membered(empty_set) )).
% 5.20/5.37 cnf(fc6_membered-3, axiom, ( v2_membered(empty_set) )).
% 5.20/5.37 cnf(fc6_membered-4, axiom, ( v3_membered(empty_set) )).
% 5.20/5.37 cnf(fc6_membered-5, axiom, ( v4_membered(empty_set) )).
% 5.20/5.37 cnf(fc6_membered-6, axiom, ( v5_membered(empty_set) )).
% 5.20/5.37
% 5.20/5.37 % Formula: rc1_membered ( axiom ) converted to clauses:
% 5.20/5.37 cnf(rc1_membered-1, axiom, ( ~empty(skolem5) )).
% 5.20/5.37 cnf(rc1_membered-2, axiom, ( v1_membered(skolem5) )).
% 5.20/5.37 cnf(rc1_membered-3, axiom, ( v2_membered(skolem5) )).
% 5.20/5.37 cnf(rc1_membered-4, axiom, ( v3_membered(skolem5) )).
% 5.20/5.37 cnf(rc1_membered-5, axiom, ( v4_membered(skolem5) )).
% 5.20/5.37 cnf(rc1_membered-6, axiom, ( v5_membered(skolem5) )).
% 5.20/5.37
% 5.20/5.37 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 5.20/5.37 cnf(rc1_subset_1-1, axiom, ( empty(_u45) | element(skolem6(_u45), powerset(_u45)) )).
% 5.20/5.37 cnf(rc1_subset_1-2, axiom, ( empty(_u45) | ~empty(skolem6(_u45)) )).
% 5.20/5.37
% 5.20/5.37 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 5.20/5.37 cnf(rc2_subset_1-1, axiom, ( element(skolem7(_u47), powerset(_u47)) )).
% 5.20/5.37 cnf(rc2_subset_1-2, axiom, ( empty(skolem7(_u47)) )).
% 5.20/5.37
% 5.20/5.37 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 5.20/5.37 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u49, _u49) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t1_subset ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t1_subset-1, axiom, ( ~in(_u51, _u50) | element(_u51, _u50) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t2_subset ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t2_subset-1, axiom, ( ~element(_u53, _u52) | empty(_u52) | in(_u53, _u52) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t3_subset ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t3_subset-1, axiom, ( ~element(_u58, powerset(_u56)) | subset(_u58, _u56) )).
% 5.20/5.37 cnf(t3_subset-2, axiom, ( ~subset(_u59, _u57) | element(_u59, powerset(_u57)) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t45_pre_topc ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t45_pre_topc-1, axiom, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | ~in(_u62, topstr_closure(_u64, _u63)) | ~element(_u60, powerset(the_carrier(_u64))) | ~closed_subset(_u60, _u64) | ~subset(_u63, _u60) | in(_u62, _u60) )).
% 5.20/5.37 cnf(t45_pre_topc-2, axiom, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | element(skolem8(_u64, _u63, _u62), powerset(the_carrier(_u64))) )).
% 5.20/5.37 cnf(t45_pre_topc-3, axiom, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | closed_subset(skolem8(_u64, _u63, _u62), _u64) )).
% 5.20/5.37 cnf(t45_pre_topc-4, axiom, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | subset(_u63, skolem8(_u64, _u63, _u62)) )).
% 5.20/5.37 cnf(t45_pre_topc-5, axiom, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | ~in(_u62, skolem8(_u64, _u63, _u62)) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t48_pre_topc ( conjecture ) converted to clauses:
% 5.20/5.37 cnf(t48_pre_topc-1, negated_conjecture, ( top_str(skolem9) )).
% 5.20/5.37 cnf(t48_pre_topc-2, negated_conjecture, ( element(skolem10, powerset(the_carrier(skolem9))) )).
% 5.20/5.37 cnf(t48_pre_topc-3, negated_conjecture, ( ~subset(skolem10, topstr_closure(skolem9, skolem10)) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t4_subset ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t4_subset-1, axiom, ( ~in(_u69, _u68) | ~element(_u68, powerset(_u67)) | element(_u69, _u67) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t5_subset ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t5_subset-1, axiom, ( ~in(_u72, _u71) | ~element(_u71, powerset(_u70)) | ~empty(_u70) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t6_boole ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t6_boole-1, axiom, ( ~empty(_u73) | ( _u73 = empty_set) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t7_boole ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t7_boole-1, axiom, ( ~in(_u75, _u74) | ~empty(_u74) )).
% 5.20/5.37
% 5.20/5.37 % Formula: t8_boole ( axiom ) converted to clauses:
% 5.20/5.37 cnf(t8_boole-1, axiom, ( ~empty(_u77) | ( _u77 = _u76) | ~empty(_u76) )).
% 5.20/5.37
% 5.20/5.37 % Problem matrix:
% 5.20/5.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 5.20/5.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 5.20/5.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 5.20/5.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 5.20/5.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 5.20/5.37 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( topstr_closure(__eqx_0, __eqx_1) = topstr_closure(__eqy_0, __eqy_1)) )).
% 5.20/5.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 5.20/5.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 5.20/5.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 5.20/5.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 5.20/5.37 cnf(matrix-10, 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)) )).
% 5.20/5.37 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 5.20/5.37 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~v1_membered(__eqx_0) | v1_membered(__eqy_0) )).
% 5.20/5.37 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 5.20/5.37 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xcmplx_0(__eqx_0) | v1_xcmplx_0(__eqy_0) )).
% 5.20/5.37 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~v2_membered(__eqx_0) | v2_membered(__eqy_0) )).
% 5.20/5.37 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xreal_0(__eqx_0) | v1_xreal_0(__eqy_0) )).
% 5.20/5.37 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~v3_membered(__eqx_0) | v3_membered(__eqy_0) )).
% 5.20/5.37 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~v1_rat_1(__eqx_0) | v1_rat_1(__eqy_0) )).
% 5.20/5.37 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~v4_membered(__eqx_0) | v4_membered(__eqy_0) )).
% 5.20/5.37 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v1_int_1(__eqx_0) | v1_int_1(__eqy_0) )).
% 5.20/5.37 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v5_membered(__eqx_0) | v5_membered(__eqy_0) )).
% 5.20/5.37 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~natural(__eqx_0) | natural(__eqy_0) )).
% 5.20/5.37 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 5.20/5.37 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 5.20/5.37 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~top_str(__eqx_0) | top_str(__eqy_0) )).
% 5.20/5.37 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 5.20/5.37 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~closed_subset(__eqx_0, __eqx_1) | closed_subset(__eqy_0, __eqy_1) )).
% 5.20/5.37 cnf(matrix-28, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 5.20/5.37 cnf(matrix-29, plain, ( ~v1_membered(_u3) | ~element(_u2, _u3) | v1_xcmplx_0(_u2) )).
% 5.20/5.37 cnf(matrix-30, plain, ( ~v2_membered(_u5) | ~element(_u4, _u5) | v1_xcmplx_0(_u4) )).
% 5.20/5.37 cnf(matrix-31, plain, ( ~v2_membered(_u5) | ~element(_u4, _u5) | v1_xreal_0(_u4) )).
% 5.20/5.37 cnf(matrix-32, plain, ( ~v3_membered(_u7) | ~element(_u6, _u7) | v1_xcmplx_0(_u6) )).
% 5.20/5.37 cnf(matrix-33, plain, ( ~v3_membered(_u7) | ~element(_u6, _u7) | v1_xreal_0(_u6) )).
% 5.20/5.37 cnf(matrix-34, plain, ( ~v3_membered(_u7) | ~element(_u6, _u7) | v1_rat_1(_u6) )).
% 5.20/5.37 cnf(matrix-35, plain, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_xcmplx_0(_u8) )).
% 5.20/5.37 cnf(matrix-36, plain, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_xreal_0(_u8) )).
% 5.20/5.37 cnf(matrix-37, plain, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_int_1(_u8) )).
% 5.20/5.37 cnf(matrix-38, plain, ( ~v4_membered(_u9) | ~element(_u8, _u9) | v1_rat_1(_u8) )).
% 5.20/5.37 cnf(matrix-39, plain, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_xcmplx_0(_u10) )).
% 5.20/5.37 cnf(matrix-40, plain, ( ~v5_membered(_u11) | ~element(_u10, _u11) | natural(_u10) )).
% 5.20/5.37 cnf(matrix-41, plain, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_xreal_0(_u10) )).
% 5.20/5.37 cnf(matrix-42, plain, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_int_1(_u10) )).
% 5.20/5.37 cnf(matrix-43, plain, ( ~v5_membered(_u11) | ~element(_u10, _u11) | v1_rat_1(_u10) )).
% 5.20/5.37 cnf(matrix-44, plain, ( ~empty(_u12) | v1_membered(_u12) )).
% 5.20/5.37 cnf(matrix-45, plain, ( ~empty(_u12) | v2_membered(_u12) )).
% 5.20/5.37 cnf(matrix-46, plain, ( ~empty(_u12) | v3_membered(_u12) )).
% 5.20/5.37 cnf(matrix-47, plain, ( ~empty(_u12) | v4_membered(_u12) )).
% 5.20/5.37 cnf(matrix-48, plain, ( ~empty(_u12) | v5_membered(_u12) )).
% 5.20/5.37 cnf(matrix-49, plain, ( ~v1_membered(_u14) | ~element(_u13, powerset(_u14)) | v1_membered(_u13) )).
% 5.20/5.37 cnf(matrix-50, plain, ( ~v2_membered(_u16) | ~element(_u15, powerset(_u16)) | v1_membered(_u15) )).
% 5.20/5.37 cnf(matrix-51, plain, ( ~v2_membered(_u16) | ~element(_u15, powerset(_u16)) | v2_membered(_u15) )).
% 5.20/5.37 cnf(matrix-52, plain, ( ~v3_membered(_u18) | ~element(_u17, powerset(_u18)) | v1_membered(_u17) )).
% 5.20/5.37 cnf(matrix-53, plain, ( ~v3_membered(_u18) | ~element(_u17, powerset(_u18)) | v2_membered(_u17) )).
% 5.20/5.37 cnf(matrix-54, plain, ( ~v3_membered(_u18) | ~element(_u17, powerset(_u18)) | v3_membered(_u17) )).
% 5.20/5.37 cnf(matrix-55, plain, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v1_membered(_u19) )).
% 5.20/5.37 cnf(matrix-56, plain, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v2_membered(_u19) )).
% 5.20/5.37 cnf(matrix-57, plain, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v3_membered(_u19) )).
% 5.20/5.37 cnf(matrix-58, plain, ( ~v4_membered(_u20) | ~element(_u19, powerset(_u20)) | v4_membered(_u19) )).
% 5.20/5.37 cnf(matrix-59, plain, ( ~v5_membered(_u21) | v4_membered(_u21) )).
% 5.20/5.37 cnf(matrix-60, plain, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v1_membered(_u22) )).
% 5.20/5.37 cnf(matrix-61, plain, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v2_membered(_u22) )).
% 5.20/5.37 cnf(matrix-62, plain, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v3_membered(_u22) )).
% 5.20/5.37 cnf(matrix-63, plain, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v4_membered(_u22) )).
% 5.20/5.37 cnf(matrix-64, plain, ( ~v5_membered(_u23) | ~element(_u22, powerset(_u23)) | v5_membered(_u22) )).
% 5.20/5.37 cnf(matrix-65, plain, ( ~v4_membered(_u24) | v3_membered(_u24) )).
% 5.20/5.37 cnf(matrix-66, plain, ( ~v3_membered(_u25) | v2_membered(_u25) )).
% 5.20/5.37 cnf(matrix-67, plain, ( ~v2_membered(_u26) | v1_membered(_u26) )).
% 5.20/5.37 cnf(matrix-68, plain, ( ~subset(_u33, _u31) | ~in(_u27, _u33) | in(_u27, _u31) )).
% 5.20/5.37 cnf(matrix-69, plain, ( subset(_u34, _u32) | in(skolem1(_u34, _u32), _u34) )).
% 5.20/5.37 cnf(matrix-70, plain, ( subset(_u34, _u32) | ~in(skolem1(_u34, _u32), _u32) )).
% 5.20/5.37 cnf(matrix-71, plain, ( ~top_str(_u36) | ~element(_u35, powerset(the_carrier(_u36))) | element(topstr_closure(_u36, _u35), powerset(the_carrier(_u36))) )).
% 5.20/5.37 cnf(matrix-72, plain, ( ~top_str(_u37) | one_sorted_str(_u37) )).
% 5.20/5.37 cnf(matrix-73, plain, ( top_str(skolem2) )).
% 5.20/5.37 cnf(matrix-74, plain, ( one_sorted_str(skolem3) )).
% 5.20/5.37 cnf(matrix-75, plain, ( element(skolem4(_u41), _u41) )).
% 5.20/5.37 cnf(matrix-76, plain, ( ~empty(powerset(_u42)) )).
% 5.20/5.37 cnf(matrix-77, plain, ( empty(empty_set) )).
% 5.20/5.37 cnf(matrix-78, plain, ( v1_membered(empty_set) )).
% 5.20/5.37 cnf(matrix-79, plain, ( v2_membered(empty_set) )).
% 5.20/5.37 cnf(matrix-80, plain, ( v3_membered(empty_set) )).
% 5.20/5.37 cnf(matrix-81, plain, ( v4_membered(empty_set) )).
% 5.20/5.37 cnf(matrix-82, plain, ( v5_membered(empty_set) )).
% 5.20/5.37 cnf(matrix-83, plain, ( ~empty(skolem5) )).
% 5.20/5.37 cnf(matrix-84, plain, ( v1_membered(skolem5) )).
% 5.20/5.37 cnf(matrix-85, plain, ( v2_membered(skolem5) )).
% 5.20/5.37 cnf(matrix-86, plain, ( v3_membered(skolem5) )).
% 5.20/5.37 cnf(matrix-87, plain, ( v4_membered(skolem5) )).
% 5.20/5.37 cnf(matrix-88, plain, ( v5_membered(skolem5) )).
% 5.20/5.37 cnf(matrix-89, plain, ( empty(_u45) | element(skolem6(_u45), powerset(_u45)) )).
% 5.20/5.37 cnf(matrix-90, plain, ( empty(_u45) | ~empty(skolem6(_u45)) )).
% 5.20/5.37 cnf(matrix-91, plain, ( element(skolem7(_u47), powerset(_u47)) )).
% 5.20/5.37 cnf(matrix-92, plain, ( empty(skolem7(_u47)) )).
% 5.20/5.37 cnf(matrix-93, plain, ( subset(_u49, _u49) )).
% 5.20/5.37 cnf(matrix-94, plain, ( ~in(_u51, _u50) | element(_u51, _u50) )).
% 5.20/5.37 cnf(matrix-95, plain, ( ~element(_u53, _u52) | empty(_u52) | in(_u53, _u52) )).
% 5.20/5.37 cnf(matrix-96, plain, ( ~element(_u58, powerset(_u56)) | subset(_u58, _u56) )).
% 5.20/5.37 cnf(matrix-97, plain, ( ~subset(_u59, _u57) | element(_u59, powerset(_u57)) )).
% 5.20/5.37 cnf(matrix-98, plain, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | ~in(_u62, topstr_closure(_u64, _u63)) | ~element(_u60, powerset(the_carrier(_u64))) | ~closed_subset(_u60, _u64) | ~subset(_u63, _u60) | in(_u62, _u60) )).
% 5.20/5.37 cnf(matrix-99, plain, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | element(skolem8(_u64, _u63, _u62), powerset(the_carrier(_u64))) )).
% 5.20/5.37 cnf(matrix-100, plain, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | closed_subset(skolem8(_u64, _u63, _u62), _u64) )).
% 5.20/5.37 cnf(matrix-101, plain, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | subset(_u63, skolem8(_u64, _u63, _u62)) )).
% 5.20/5.37 cnf(matrix-102, plain, ( ~top_str(_u64) | ~element(_u63, powerset(the_carrier(_u64))) | ~in(_u62, the_carrier(_u64)) | in(_u62, topstr_closure(_u64, _u63)) | ~in(_u62, skolem8(_u64, _u63, _u62)) )).
% 5.20/5.37 cnf(matrix-103, plain, ( top_str(skolem9) )).
% 5.20/5.37 cnf(matrix-104, plain, ( element(skolem10, powerset(the_carrier(skolem9))) )).
% 5.20/5.37 cnf(matrix-105, plain, ( ~subset(skolem10, topstr_closure(skolem9, skolem10)) )).
% 5.20/5.37 cnf(matrix-106, plain, ( ~in(_u69, _u68) | ~element(_u68, powerset(_u67)) | element(_u69, _u67) )).
% 5.20/5.37 cnf(matrix-107, plain, ( ~in(_u72, _u71) | ~element(_u71, powerset(_u70)) | ~empty(_u70) )).
% 5.20/5.37 cnf(matrix-108, plain, ( ~empty(_u73) | ( _u73 = empty_set) )).
% 5.20/5.37 cnf(matrix-109, plain, ( ~in(_u75, _u74) | ~empty(_u74) )).
% 5.20/5.37 cnf(matrix-110, plain, ( ~empty(_u77) | ( _u77 = _u76) | ~empty(_u76) )).
% 5.20/5.37
% 5.20/5.37 % Proof stack:
% 5.20/5.37 cnf(proof-stack, plain,
% 5.20/5.37 proof_stack(
% 5.20/5.37 start(76),
% 5.20/5.37 left_branch(0, 95, 1, 2),
% 5.20/5.37 left_branch(0, 106, 2, 3),
% 5.20/5.37 left_branch(0, 95, 2, 4),
% 5.20/5.37 left_branch(0, 106, 2, 5),
% 5.20/5.37 left_branch(0, 95, 2, 6),
% 5.20/5.37 left_branch(0, 104, 0, 7),
% 5.20/5.37 right_branch(7),
% 5.20/5.37 reduction(0, 0),
% 5.20/5.37 right_branch(6),
% 5.20/5.37 left_branch(0, 97, 1, 7),
% 5.20/5.37 left_branch(0, 93, 0, 8),
% 5.20/5.37 right_branch(8),
% 5.20/5.37 right_branch(7),
% 5.20/5.37 right_branch(5),
% 5.20/5.37 reduction(0, 0),
% 5.20/5.37 right_branch(4),
% 5.20/5.37 left_branch(0, 106, 2, 5),
% 5.20/5.37 left_branch(0, 95, 2, 6),
% 5.20/5.37 left_branch(0, 97, 1, 7),
% 5.20/5.37 left_branch(0, 93, 0, 8),
% 5.20/5.37 right_branch(8),
% 5.20/5.37 right_branch(7),
% 5.20/5.37 left_branch(0, 76, 0, 8),
% 5.20/5.37 right_branch(8),
% 5.20/5.37 right_branch(6),
% 5.20/5.37 left_branch(0, 97, 1, 7),
% 5.20/5.37 left_branch(0, 93, 0, 8),
% 5.20/5.37 right_branch(8),
% 5.20/5.37 right_branch(7),
% 5.20/5.37 right_branch(5),
% 5.20/5.37 right_branch(3),
% 5.20/5.37 left_branch(0, 94, 0, 4),
% 5.20/5.37 left_branch(0, 102, 1, 5),
% 5.20/5.37 left_branch(0, 103, 0, 6),
% 5.20/5.37 right_branch(6),
% 5.20/5.37 left_branch(0, 70, 1, 7),
% 5.20/5.37 left_branch(0, 105, 0, 8),
% 5.20/5.37 right_branch(8),
% 5.20/5.37 right_branch(7),
% 5.20/5.37 left_branch(0, 68, 2, 8),
% 5.20/5.37 left_branch(0, 96, 1, 9),
% 5.20/5.37 reduction(0, 2),
% 5.20/5.37 right_branch(9),
% 5.20/5.37 left_branch(0, 69, 1, 10),
% 5.20/5.37 left_branch(0, 105, 0, 11),
% 5.20/5.37 right_branch(11),
% 5.20/5.37 right_branch(10),
% 5.20/5.37 right_branch(8),
% 5.20/5.37 left_branch(0, 68, 2, 9),
% 5.20/5.37 left_branch(0, 101, 4, 10),
% 5.20/5.37 lemmata(0, 1),
% 5.20/5.37 lemmata(0, 2),
% 5.20/5.37 lemmata(0, 3),
% 5.20/5.37 lemmata(0, 0),
% 5.20/5.37 right_branch(10),
% 5.20/5.37 left_branch(0, 69, 1, 11),
% 5.20/5.37 left_branch(0, 105, 0, 12),
% 5.20/5.37 right_branch(12),
% 5.20/5.37 right_branch(11),
% 5.20/5.37 right_branch(9),
% 5.20/5.37 right_branch(5),
% 5.20/5.37 right_branch(4),
% 5.20/5.37 right_branch(2)
% 5.20/5.37 )).
% 5.20/5.37 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------