TSTP Solution File: SEU321+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU321+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 : n023.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 14:33:58 EDT 2024
% Result : Theorem 5.54s 5.76s
% Output : Proof 5.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Mar 20 15:16:57 EDT 2024
% 0.14/0.34 % CPUTime :
% 5.54/5.76 % SZS status Theorem for theBenchmark
% 5.54/5.76 % SZS output start Proof for theBenchmark
% 5.54/5.76
% 5.54/5.76 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 5.54/5.76 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u1, _u1) )).
% 5.54/5.76
% 5.54/5.76 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(rc5_struct_0-1, axiom, ( empty_carrier(_u3) | ~one_sorted_str(_u3) | element(skolem1(_u3), powerset(the_carrier(_u3))) )).
% 5.54/5.76 cnf(rc5_struct_0-2, axiom, ( empty_carrier(_u3) | ~one_sorted_str(_u3) | ~empty(skolem1(_u3)) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc1_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc1_membered-1, axiom, ( ~v5_membered(_u4) | v4_membered(_u4) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc2_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc2_membered-1, axiom, ( ~v4_membered(_u5) | v3_membered(_u5) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc3_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc3_membered-1, axiom, ( ~v3_membered(_u6) | v2_membered(_u6) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc4_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc4_membered-1, axiom, ( ~v2_membered(_u7) | v1_membered(_u7) )).
% 5.54/5.76
% 5.54/5.76 % Formula: rc1_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(rc1_membered-1, axiom, ( ~empty(skolem2) )).
% 5.54/5.76 cnf(rc1_membered-2, axiom, ( v1_membered(skolem2) )).
% 5.54/5.76 cnf(rc1_membered-3, axiom, ( v2_membered(skolem2) )).
% 5.54/5.76 cnf(rc1_membered-4, axiom, ( v3_membered(skolem2) )).
% 5.54/5.76 cnf(rc1_membered-5, axiom, ( v4_membered(skolem2) )).
% 5.54/5.76 cnf(rc1_membered-6, axiom, ( v5_membered(skolem2) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc10_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc10_membered-1, axiom, ( ~v1_membered(_u10) | ~element(_u9, _u10) | v1_xcmplx_0(_u9) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc11_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc11_membered-1, axiom, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xcmplx_0(_u11) )).
% 5.54/5.76 cnf(cc11_membered-2, axiom, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xreal_0(_u11) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc12_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc12_membered-1, axiom, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xcmplx_0(_u13) )).
% 5.54/5.76 cnf(cc12_membered-2, axiom, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xreal_0(_u13) )).
% 5.54/5.76 cnf(cc12_membered-3, axiom, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_rat_1(_u13) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc13_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc13_membered-1, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xcmplx_0(_u15) )).
% 5.54/5.76 cnf(cc13_membered-2, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xreal_0(_u15) )).
% 5.54/5.76 cnf(cc13_membered-3, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_int_1(_u15) )).
% 5.54/5.76 cnf(cc13_membered-4, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_rat_1(_u15) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc14_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc14_membered-1, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xcmplx_0(_u17) )).
% 5.54/5.76 cnf(cc14_membered-2, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | natural(_u17) )).
% 5.54/5.76 cnf(cc14_membered-3, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xreal_0(_u17) )).
% 5.54/5.76 cnf(cc14_membered-4, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_int_1(_u17) )).
% 5.54/5.76 cnf(cc14_membered-5, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_rat_1(_u17) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc15_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc15_membered-1, axiom, ( ~empty(_u19) | v1_membered(_u19) )).
% 5.54/5.76 cnf(cc15_membered-2, axiom, ( ~empty(_u19) | v2_membered(_u19) )).
% 5.54/5.76 cnf(cc15_membered-3, axiom, ( ~empty(_u19) | v3_membered(_u19) )).
% 5.54/5.76 cnf(cc15_membered-4, axiom, ( ~empty(_u19) | v4_membered(_u19) )).
% 5.54/5.76 cnf(cc15_membered-5, axiom, ( ~empty(_u19) | v5_membered(_u19) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc16_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc16_membered-1, axiom, ( ~v1_membered(_u21) | ~element(_u20, powerset(_u21)) | v1_membered(_u20) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc17_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc17_membered-1, axiom, ( ~v2_membered(_u23) | ~element(_u22, powerset(_u23)) | v1_membered(_u22) )).
% 5.54/5.76 cnf(cc17_membered-2, axiom, ( ~v2_membered(_u23) | ~element(_u22, powerset(_u23)) | v2_membered(_u22) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc18_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc18_membered-1, axiom, ( ~v3_membered(_u25) | ~element(_u24, powerset(_u25)) | v1_membered(_u24) )).
% 5.54/5.76 cnf(cc18_membered-2, axiom, ( ~v3_membered(_u25) | ~element(_u24, powerset(_u25)) | v2_membered(_u24) )).
% 5.54/5.76 cnf(cc18_membered-3, axiom, ( ~v3_membered(_u25) | ~element(_u24, powerset(_u25)) | v3_membered(_u24) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc19_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc19_membered-1, axiom, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v1_membered(_u26) )).
% 5.54/5.76 cnf(cc19_membered-2, axiom, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v2_membered(_u26) )).
% 5.54/5.76 cnf(cc19_membered-3, axiom, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v3_membered(_u26) )).
% 5.54/5.76 cnf(cc19_membered-4, axiom, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v4_membered(_u26) )).
% 5.54/5.76
% 5.54/5.76 % Formula: cc20_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(cc20_membered-1, axiom, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v1_membered(_u28) )).
% 5.54/5.76 cnf(cc20_membered-2, axiom, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v2_membered(_u28) )).
% 5.54/5.76 cnf(cc20_membered-3, axiom, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v3_membered(_u28) )).
% 5.54/5.76 cnf(cc20_membered-4, axiom, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v4_membered(_u28) )).
% 5.54/5.76 cnf(cc20_membered-5, axiom, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v5_membered(_u28) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t2_subset ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t2_subset-1, axiom, ( ~element(_u31, _u30) | empty(_u30) | in(_u31, _u30) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t5_subset ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t5_subset-1, axiom, ( ~in(_u34, _u33) | ~element(_u33, powerset(_u32)) | ~empty(_u32) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t8_boole ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t8_boole-1, axiom, ( ~empty(_u36) | ( _u36 = _u35) | ~empty(_u35) )).
% 5.54/5.76
% 5.54/5.76 % Formula: involutiveness_k3_subset_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(involutiveness_k3_subset_1-1, axiom, ( ~element(_u37, powerset(_u38)) | ( subset_complement(_u38, subset_complement(_u38, _u37)) = _u37) )).
% 5.54/5.76
% 5.54/5.76 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 5.54/5.76 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u40, _u39) | ~in(_u39, _u40) )).
% 5.54/5.76
% 5.54/5.76 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(existence_l1_struct_0-1, axiom, ( one_sorted_str(skolem3) )).
% 5.54/5.76
% 5.54/5.76 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(existence_m1_subset_1-1, axiom, ( element(skolem4(_u43), _u43) )).
% 5.54/5.76
% 5.54/5.76 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(dt_k1_xboole_0, axiom, $true).
% 5.54/5.76
% 5.54/5.76 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(dt_k1_zfmisc_1, axiom, $true).
% 5.54/5.76
% 5.54/5.76 % Formula: dt_k3_subset_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(dt_k3_subset_1-1, axiom, ( ~element(_u44, powerset(_u45)) | element(subset_complement(_u45, _u44), powerset(_u45)) )).
% 5.54/5.76
% 5.54/5.76 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(dt_l1_struct_0, axiom, $true).
% 5.54/5.76
% 5.54/5.76 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(dt_m1_subset_1, axiom, $true).
% 5.54/5.76
% 5.54/5.76 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(dt_u1_struct_0, axiom, $true).
% 5.54/5.76
% 5.54/5.76 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(rc3_struct_0-1, axiom, ( one_sorted_str(skolem5) )).
% 5.54/5.76 cnf(rc3_struct_0-2, axiom, ( ~empty_carrier(skolem5) )).
% 5.54/5.76
% 5.54/5.76 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(fc1_struct_0-1, axiom, ( empty_carrier(_u47) | ~one_sorted_str(_u47) | ~empty(the_carrier(_u47)) )).
% 5.54/5.76
% 5.54/5.76 % Formula: fc6_membered ( axiom ) converted to clauses:
% 5.54/5.76 cnf(fc6_membered-1, axiom, ( empty(empty_set) )).
% 5.54/5.76 cnf(fc6_membered-2, axiom, ( v1_membered(empty_set) )).
% 5.54/5.76 cnf(fc6_membered-3, axiom, ( v2_membered(empty_set) )).
% 5.54/5.76 cnf(fc6_membered-4, axiom, ( v3_membered(empty_set) )).
% 5.54/5.76 cnf(fc6_membered-5, axiom, ( v4_membered(empty_set) )).
% 5.54/5.76 cnf(fc6_membered-6, axiom, ( v5_membered(empty_set) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t1_subset ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t1_subset-1, axiom, ( ~in(_u49, _u48) | element(_u49, _u48) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t3_subset ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t3_subset-1, axiom, ( ~element(_u54, powerset(_u52)) | subset(_u54, _u52) )).
% 5.54/5.76 cnf(t3_subset-2, axiom, ( ~subset(_u55, _u53) | element(_u55, powerset(_u53)) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t4_subset ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t4_subset-1, axiom, ( ~in(_u58, _u57) | ~element(_u57, powerset(_u56)) | element(_u58, _u56) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t6_boole ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t6_boole-1, axiom, ( ~empty(_u59) | ( _u59 = empty_set) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t7_boole ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t7_boole-1, axiom, ( ~in(_u61, _u60) | ~empty(_u60) )).
% 5.54/5.76
% 5.54/5.76 % Formula: l40_tops_1 ( conjecture ) (definitionally) converted to clauses:
% 5.54/5.76 cnf(l40_tops_1-1, negated_conjecture, ( ~empty_carrier(skolem6) )).
% 5.54/5.76 cnf(l40_tops_1-2, negated_conjecture, ( one_sorted_str(skolem6) )).
% 5.54/5.76 cnf(l40_tops_1-3, negated_conjecture, ( element(skolem7, powerset(the_carrier(skolem6))) )).
% 5.54/5.76 cnf(l40_tops_1-4, negated_conjecture, ( element(skolem8, the_carrier(skolem6)) )).
% 5.54/5.76 cnf(l40_tops_1-5, negated_conjecture, ( ~_def0 | ~_def1 )).
% 5.54/5.76 cnf(l40_tops_1-6, negated_conjecture, ( _def0 | in(skolem8, subset_complement(the_carrier(skolem6), skolem7)) )).
% 5.54/5.76 cnf(l40_tops_1-7, negated_conjecture, ( _def0 | in(skolem8, skolem7) )).
% 5.54/5.76 cnf(l40_tops_1-8, negated_conjecture, ( _def1 | ~in(skolem8, skolem7) )).
% 5.54/5.76 cnf(l40_tops_1-9, negated_conjecture, ( _def1 | ~in(skolem8, subset_complement(the_carrier(skolem6), skolem7)) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t50_subset_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t50_subset_1-1, axiom, ( ( _u67 = empty_set) | ~element(_u66, powerset(_u67)) | ~element(_u65, _u67) | in(_u65, _u66) | in(_u65, subset_complement(_u67, _u66)) )).
% 5.54/5.76
% 5.54/5.76 % Formula: t54_subset_1 ( axiom ) converted to clauses:
% 5.54/5.76 cnf(t54_subset_1-1, axiom, ( ~element(_u68, powerset(_u70)) | ~in(_u69, subset_complement(_u70, _u68)) | ~in(_u69, _u68) )).
% 5.54/5.76
% 5.54/5.76 % Problem matrix:
% 5.54/5.76 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 5.54/5.76 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 5.54/5.76 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 5.54/5.76 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 5.54/5.76 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 5.54/5.76 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( subset_complement(__eqx_0, __eqx_1) = subset_complement(__eqy_0, __eqy_1)) )).
% 5.54/5.76 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 5.54/5.76 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 5.54/5.76 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 5.54/5.76 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~empty_carrier(__eqx_0) | empty_carrier(__eqy_0) )).
% 5.54/5.76 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 5.54/5.76 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 5.54/5.76 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 5.54/5.76 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~v5_membered(__eqx_0) | v5_membered(__eqy_0) )).
% 5.54/5.76 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~v4_membered(__eqx_0) | v4_membered(__eqy_0) )).
% 5.54/5.76 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~v3_membered(__eqx_0) | v3_membered(__eqy_0) )).
% 5.54/5.76 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~v2_membered(__eqx_0) | v2_membered(__eqy_0) )).
% 5.54/5.76 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~v1_membered(__eqx_0) | v1_membered(__eqy_0) )).
% 5.54/5.76 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xcmplx_0(__eqx_0) | v1_xcmplx_0(__eqy_0) )).
% 5.54/5.76 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xreal_0(__eqx_0) | v1_xreal_0(__eqy_0) )).
% 5.54/5.76 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v1_rat_1(__eqx_0) | v1_rat_1(__eqy_0) )).
% 5.54/5.76 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v1_int_1(__eqx_0) | v1_int_1(__eqy_0) )).
% 5.54/5.76 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~natural(__eqx_0) | natural(__eqy_0) )).
% 5.54/5.76 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 5.54/5.76 cnf(matrix-24, plain, ( subset(_u1, _u1) )).
% 5.54/5.76 cnf(matrix-25, plain, ( empty_carrier(_u3) | ~one_sorted_str(_u3) | element(skolem1(_u3), powerset(the_carrier(_u3))) )).
% 5.54/5.76 cnf(matrix-26, plain, ( empty_carrier(_u3) | ~one_sorted_str(_u3) | ~empty(skolem1(_u3)) )).
% 5.54/5.76 cnf(matrix-27, plain, ( ~v5_membered(_u4) | v4_membered(_u4) )).
% 5.54/5.76 cnf(matrix-28, plain, ( ~v4_membered(_u5) | v3_membered(_u5) )).
% 5.54/5.76 cnf(matrix-29, plain, ( ~v3_membered(_u6) | v2_membered(_u6) )).
% 5.54/5.76 cnf(matrix-30, plain, ( ~v2_membered(_u7) | v1_membered(_u7) )).
% 5.54/5.76 cnf(matrix-31, plain, ( ~empty(skolem2) )).
% 5.54/5.76 cnf(matrix-32, plain, ( v1_membered(skolem2) )).
% 5.54/5.76 cnf(matrix-33, plain, ( v2_membered(skolem2) )).
% 5.54/5.76 cnf(matrix-34, plain, ( v3_membered(skolem2) )).
% 5.54/5.76 cnf(matrix-35, plain, ( v4_membered(skolem2) )).
% 5.54/5.76 cnf(matrix-36, plain, ( v5_membered(skolem2) )).
% 5.54/5.76 cnf(matrix-37, plain, ( ~v1_membered(_u10) | ~element(_u9, _u10) | v1_xcmplx_0(_u9) )).
% 5.54/5.76 cnf(matrix-38, plain, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xcmplx_0(_u11) )).
% 5.54/5.76 cnf(matrix-39, plain, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xreal_0(_u11) )).
% 5.54/5.76 cnf(matrix-40, plain, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xcmplx_0(_u13) )).
% 5.54/5.76 cnf(matrix-41, plain, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xreal_0(_u13) )).
% 5.54/5.76 cnf(matrix-42, plain, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_rat_1(_u13) )).
% 5.54/5.76 cnf(matrix-43, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xcmplx_0(_u15) )).
% 5.54/5.76 cnf(matrix-44, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xreal_0(_u15) )).
% 5.54/5.76 cnf(matrix-45, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_int_1(_u15) )).
% 5.54/5.76 cnf(matrix-46, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_rat_1(_u15) )).
% 5.54/5.76 cnf(matrix-47, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xcmplx_0(_u17) )).
% 5.54/5.76 cnf(matrix-48, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | natural(_u17) )).
% 5.54/5.76 cnf(matrix-49, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xreal_0(_u17) )).
% 5.54/5.76 cnf(matrix-50, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_int_1(_u17) )).
% 5.54/5.76 cnf(matrix-51, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_rat_1(_u17) )).
% 5.54/5.76 cnf(matrix-52, plain, ( ~empty(_u19) | v1_membered(_u19) )).
% 5.54/5.76 cnf(matrix-53, plain, ( ~empty(_u19) | v2_membered(_u19) )).
% 5.54/5.76 cnf(matrix-54, plain, ( ~empty(_u19) | v3_membered(_u19) )).
% 5.54/5.76 cnf(matrix-55, plain, ( ~empty(_u19) | v4_membered(_u19) )).
% 5.54/5.76 cnf(matrix-56, plain, ( ~empty(_u19) | v5_membered(_u19) )).
% 5.54/5.76 cnf(matrix-57, plain, ( ~v1_membered(_u21) | ~element(_u20, powerset(_u21)) | v1_membered(_u20) )).
% 5.54/5.76 cnf(matrix-58, plain, ( ~v2_membered(_u23) | ~element(_u22, powerset(_u23)) | v1_membered(_u22) )).
% 5.54/5.76 cnf(matrix-59, plain, ( ~v2_membered(_u23) | ~element(_u22, powerset(_u23)) | v2_membered(_u22) )).
% 5.54/5.76 cnf(matrix-60, plain, ( ~v3_membered(_u25) | ~element(_u24, powerset(_u25)) | v1_membered(_u24) )).
% 5.54/5.76 cnf(matrix-61, plain, ( ~v3_membered(_u25) | ~element(_u24, powerset(_u25)) | v2_membered(_u24) )).
% 5.54/5.76 cnf(matrix-62, plain, ( ~v3_membered(_u25) | ~element(_u24, powerset(_u25)) | v3_membered(_u24) )).
% 5.54/5.76 cnf(matrix-63, plain, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v1_membered(_u26) )).
% 5.54/5.76 cnf(matrix-64, plain, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v2_membered(_u26) )).
% 5.54/5.76 cnf(matrix-65, plain, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v3_membered(_u26) )).
% 5.54/5.76 cnf(matrix-66, plain, ( ~v4_membered(_u27) | ~element(_u26, powerset(_u27)) | v4_membered(_u26) )).
% 5.54/5.76 cnf(matrix-67, plain, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v1_membered(_u28) )).
% 5.54/5.76 cnf(matrix-68, plain, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v2_membered(_u28) )).
% 5.54/5.76 cnf(matrix-69, plain, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v3_membered(_u28) )).
% 5.54/5.76 cnf(matrix-70, plain, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v4_membered(_u28) )).
% 5.54/5.76 cnf(matrix-71, plain, ( ~v5_membered(_u29) | ~element(_u28, powerset(_u29)) | v5_membered(_u28) )).
% 5.54/5.76 cnf(matrix-72, plain, ( ~element(_u31, _u30) | empty(_u30) | in(_u31, _u30) )).
% 5.54/5.76 cnf(matrix-73, plain, ( ~in(_u34, _u33) | ~element(_u33, powerset(_u32)) | ~empty(_u32) )).
% 5.54/5.76 cnf(matrix-74, plain, ( ~empty(_u36) | ( _u36 = _u35) | ~empty(_u35) )).
% 5.54/5.76 cnf(matrix-75, plain, ( ~element(_u37, powerset(_u38)) | ( subset_complement(_u38, subset_complement(_u38, _u37)) = _u37) )).
% 5.54/5.76 cnf(matrix-76, plain, ( ~in(_u40, _u39) | ~in(_u39, _u40) )).
% 5.54/5.76 cnf(matrix-77, plain, ( one_sorted_str(skolem3) )).
% 5.54/5.76 cnf(matrix-78, plain, ( element(skolem4(_u43), _u43) )).
% 5.54/5.76 cnf(matrix-79, plain, ( ~element(_u44, powerset(_u45)) | element(subset_complement(_u45, _u44), powerset(_u45)) )).
% 5.54/5.76 cnf(matrix-80, plain, ( one_sorted_str(skolem5) )).
% 5.54/5.76 cnf(matrix-81, plain, ( ~empty_carrier(skolem5) )).
% 5.54/5.76 cnf(matrix-82, plain, ( empty_carrier(_u47) | ~one_sorted_str(_u47) | ~empty(the_carrier(_u47)) )).
% 5.54/5.76 cnf(matrix-83, plain, ( empty(empty_set) )).
% 5.54/5.76 cnf(matrix-84, plain, ( v1_membered(empty_set) )).
% 5.54/5.76 cnf(matrix-85, plain, ( v2_membered(empty_set) )).
% 5.54/5.76 cnf(matrix-86, plain, ( v3_membered(empty_set) )).
% 5.54/5.76 cnf(matrix-87, plain, ( v4_membered(empty_set) )).
% 5.54/5.76 cnf(matrix-88, plain, ( v5_membered(empty_set) )).
% 5.54/5.76 cnf(matrix-89, plain, ( ~in(_u49, _u48) | element(_u49, _u48) )).
% 5.54/5.76 cnf(matrix-90, plain, ( ~element(_u54, powerset(_u52)) | subset(_u54, _u52) )).
% 5.54/5.76 cnf(matrix-91, plain, ( ~subset(_u55, _u53) | element(_u55, powerset(_u53)) )).
% 5.54/5.76 cnf(matrix-92, plain, ( ~in(_u58, _u57) | ~element(_u57, powerset(_u56)) | element(_u58, _u56) )).
% 5.54/5.76 cnf(matrix-93, plain, ( ~empty(_u59) | ( _u59 = empty_set) )).
% 5.54/5.76 cnf(matrix-94, plain, ( ~in(_u61, _u60) | ~empty(_u60) )).
% 5.54/5.76 cnf(matrix-95, plain, ( ~empty_carrier(skolem6) )).
% 5.54/5.76 cnf(matrix-96, plain, ( one_sorted_str(skolem6) )).
% 5.54/5.76 cnf(matrix-97, plain, ( element(skolem7, powerset(the_carrier(skolem6))) )).
% 5.54/5.76 cnf(matrix-98, plain, ( element(skolem8, the_carrier(skolem6)) )).
% 5.54/5.76 cnf(matrix-99, plain, ( ~_def0 | ~_def1 )).
% 5.54/5.76 cnf(matrix-100, plain, ( _def0 | in(skolem8, subset_complement(the_carrier(skolem6), skolem7)) )).
% 5.54/5.76 cnf(matrix-101, plain, ( _def0 | in(skolem8, skolem7) )).
% 5.54/5.76 cnf(matrix-102, plain, ( _def1 | ~in(skolem8, skolem7) )).
% 5.54/5.76 cnf(matrix-103, plain, ( _def1 | ~in(skolem8, subset_complement(the_carrier(skolem6), skolem7)) )).
% 5.54/5.76 cnf(matrix-104, plain, ( ( _u67 = empty_set) | ~element(_u66, powerset(_u67)) | ~element(_u65, _u67) | in(_u65, _u66) | in(_u65, subset_complement(_u67, _u66)) )).
% 5.54/5.76 cnf(matrix-105, plain, ( ~element(_u68, powerset(_u70)) | ~in(_u69, subset_complement(_u70, _u68)) | ~in(_u69, _u68) )).
% 5.54/5.76
% 5.54/5.76 % Proof stack:
% 5.54/5.76 cnf(proof-stack, plain,
% 5.54/5.76 proof_stack(
% 5.54/5.76 start(105),
% 5.54/5.76 left_branch(0, 97, 0, 2),
% 5.54/5.76 right_branch(2),
% 5.54/5.76 left_branch(0, 104, 3, 3),
% 5.54/5.76 left_branch(0, 1, 0, 4),
% 5.54/5.76 left_branch(0, 12, 0, 5),
% 5.54/5.76 left_branch(0, 82, 2, 6),
% 5.54/5.76 left_branch(0, 95, 0, 7),
% 5.54/5.76 right_branch(7),
% 5.54/5.76 left_branch(0, 96, 0, 8),
% 5.54/5.76 right_branch(8),
% 5.54/5.76 right_branch(6),
% 5.54/5.76 left_branch(0, 83, 0, 7),
% 5.54/5.76 right_branch(7),
% 5.54/5.76 right_branch(5),
% 5.54/5.76 right_branch(4),
% 5.54/5.76 left_branch(0, 103, 1, 5),
% 5.54/5.76 left_branch(0, 99, 1, 6),
% 5.54/5.76 left_branch(0, 101, 0, 7),
% 5.54/5.76 reduction(0, 0),
% 5.54/5.76 right_branch(7),
% 5.54/5.76 right_branch(6),
% 5.54/5.76 right_branch(5),
% 5.54/5.76 left_branch(0, 98, 0, 6),
% 5.54/5.76 right_branch(6),
% 5.54/5.76 lemmata(0, 0),
% 5.54/5.76 right_branch(3),
% 5.54/5.76 left_branch(0, 104, 4, 4),
% 5.54/5.76 left_branch(0, 1, 0, 5),
% 5.54/5.76 left_branch(0, 12, 0, 6),
% 5.54/5.76 left_branch(0, 82, 2, 7),
% 5.54/5.76 left_branch(0, 95, 0, 8),
% 5.54/5.76 right_branch(8),
% 5.54/5.76 left_branch(0, 96, 0, 9),
% 5.54/5.76 right_branch(9),
% 5.54/5.76 right_branch(7),
% 5.54/5.76 left_branch(0, 83, 0, 8),
% 5.54/5.76 right_branch(8),
% 5.54/5.76 right_branch(6),
% 5.54/5.76 right_branch(5),
% 5.54/5.76 left_branch(0, 102, 1, 6),
% 5.54/5.76 left_branch(0, 99, 1, 7),
% 5.54/5.76 left_branch(0, 100, 0, 8),
% 5.54/5.76 reduction(0, 0),
% 5.54/5.76 right_branch(8),
% 5.54/5.76 right_branch(7),
% 5.54/5.76 right_branch(6),
% 5.54/5.76 left_branch(0, 98, 0, 7),
% 5.54/5.76 right_branch(7),
% 5.54/5.76 lemmata(0, 0),
% 5.54/5.76 right_branch(4)
% 5.54/5.76 )).
% 5.54/5.76 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------