TSTP Solution File: SEU243+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU243+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 : n005.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 14:33:43 EDT 2024
% Result : Theorem 55.88s 56.08s
% Output : Proof 55.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n005.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 : Wed Mar 20 14:44:15 EDT 2024
% 0.13/0.35 % CPUTime :
% 55.88/56.08 % SZS status Theorem for theBenchmark
% 55.88/56.08 % SZS output start Proof for theBenchmark
% 55.88/56.08
% 55.88/56.08 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 55.88/56.08 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 55.88/56.08
% 55.88/56.08 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(cc1_funct_1-1, axiom, ( ~empty(_u2) | function(_u2) )).
% 55.88/56.08
% 55.88/56.08 % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(cc2_funct_1-1, axiom, ( ~relation(_u3) | ~empty(_u3) | ~function(_u3) | one_to_one(_u3) )).
% 55.88/56.08
% 55.88/56.08 % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u5, _u4) = set_union2(_u4, _u5)) )).
% 55.88/56.08
% 55.88/56.08 % Formula: d2_wellord1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(d2_wellord1-1, axiom, ( ~relation(_u10) | ~well_founded_relation(_u10) | ~subset(_u7, relation_field(_u10)) | ( _u7 = empty_set) | in(skolem1(_u10, _u7), _u7) )).
% 55.88/56.08 cnf(d2_wellord1-2, axiom, ( ~relation(_u10) | ~well_founded_relation(_u10) | ~subset(_u7, relation_field(_u10)) | ( _u7 = empty_set) | disjoint(fiber(_u10, skolem1(_u10, _u7)), _u7) )).
% 55.88/56.08 cnf(d2_wellord1-3, axiom, ( ~relation(_u10) | well_founded_relation(_u10) | subset(skolem2(_u10), relation_field(_u10)) )).
% 55.88/56.08 cnf(d2_wellord1-4, axiom, ( ~relation(_u10) | well_founded_relation(_u10) | ( skolem2(_u10) != empty_set) )).
% 55.88/56.08 cnf(d2_wellord1-5, axiom, ( ~relation(_u10) | well_founded_relation(_u10) | ~in(_u8, skolem2(_u10)) | ~disjoint(fiber(_u10, _u8), skolem2(_u10)) )).
% 55.88/56.08
% 55.88/56.08 % Formula: d3_wellord1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(d3_wellord1-1, axiom, ( ~relation(_u16) | ~is_well_founded_in(_u16, _u17) | ~subset(_u12, _u17) | ( _u12 = empty_set) | in(skolem3(_u16, _u17, _u12), _u12) )).
% 55.88/56.08 cnf(d3_wellord1-2, axiom, ( ~relation(_u16) | ~is_well_founded_in(_u16, _u17) | ~subset(_u12, _u17) | ( _u12 = empty_set) | disjoint(fiber(_u16, skolem3(_u16, _u17, _u12)), _u12) )).
% 55.88/56.08 cnf(d3_wellord1-3, axiom, ( ~relation(_u16) | is_well_founded_in(_u16, _u18) | subset(skolem4(_u16, _u18), _u18) )).
% 55.88/56.08 cnf(d3_wellord1-4, axiom, ( ~relation(_u16) | is_well_founded_in(_u16, _u18) | ( skolem4(_u16, _u18) != empty_set) )).
% 55.88/56.08 cnf(d3_wellord1-5, axiom, ( ~relation(_u16) | is_well_founded_in(_u16, _u18) | ~in(_u13, skolem4(_u16, _u18)) | ~disjoint(fiber(_u16, _u13), skolem4(_u16, _u18)) )).
% 55.88/56.08
% 55.88/56.08 % Formula: d6_relat_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(d6_relat_1-1, axiom, ( ~relation(_u19) | ( relation_field(_u19) = set_union2(relation_dom(_u19), relation_rng(_u19))) )).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k1_relat_1, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k1_wellord1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k1_wellord1, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k1_xboole_0, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k1_zfmisc_1, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k2_relat_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k2_relat_1, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k2_xboole_0, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_k3_relat_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_k3_relat_1, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(dt_m1_subset_1, axiom, $true).
% 55.88/56.08
% 55.88/56.08 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(existence_m1_subset_1-1, axiom, ( element(skolem5(_u21), _u21) )).
% 55.88/56.08
% 55.88/56.08 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 55.88/56.08
% 55.88/56.08 % Formula: fc2_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(fc2_xboole_0-1, axiom, ( empty(_u23) | ~empty(set_union2(_u23, _u22)) )).
% 55.88/56.08
% 55.88/56.08 % Formula: fc3_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(fc3_xboole_0-1, axiom, ( empty(_u25) | ~empty(set_union2(_u24, _u25)) )).
% 55.88/56.08
% 55.88/56.08 % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u27, _u27) = _u27) )).
% 55.88/56.08
% 55.88/56.08 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(rc1_funct_1-1, axiom, ( relation(skolem6) )).
% 55.88/56.08 cnf(rc1_funct_1-2, axiom, ( function(skolem6) )).
% 55.88/56.08
% 55.88/56.08 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(rc1_xboole_0-1, axiom, ( empty(skolem7) )).
% 55.88/56.08
% 55.88/56.08 % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(rc2_funct_1-1, axiom, ( relation(skolem8) )).
% 55.88/56.08 cnf(rc2_funct_1-2, axiom, ( empty(skolem8) )).
% 55.88/56.08 cnf(rc2_funct_1-3, axiom, ( function(skolem8) )).
% 55.88/56.08
% 55.88/56.08 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem9) )).
% 55.88/56.08
% 55.88/56.08 % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(rc3_funct_1-1, axiom, ( relation(skolem10) )).
% 55.88/56.08 cnf(rc3_funct_1-2, axiom, ( function(skolem10) )).
% 55.88/56.08 cnf(rc3_funct_1-3, axiom, ( one_to_one(skolem10) )).
% 55.88/56.08
% 55.88/56.08 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 55.88/56.08 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u34, _u34) )).
% 55.88/56.08
% 55.88/56.08 % Formula: symmetry_r1_xboole_0 ( axiom ) converted to clauses:
% 55.88/56.08 cnf(symmetry_r1_xboole_0-1, axiom, ( ~disjoint(_u36, _u35) | disjoint(_u35, _u36) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t1_boole ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t1_boole-1, axiom, ( ( set_union2(_u37, empty_set) = _u37) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t1_subset ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t1_subset-1, axiom, ( ~in(_u39, _u38) | element(_u39, _u38) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t2_subset ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t2_subset-1, axiom, ( ~element(_u41, _u40) | empty(_u40) | in(_u41, _u40) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t3_subset ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t3_subset-1, axiom, ( ~element(_u46, powerset(_u44)) | subset(_u46, _u44) )).
% 55.88/56.08 cnf(t3_subset-2, axiom, ( ~subset(_u47, _u45) | element(_u47, powerset(_u45)) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t4_subset ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t4_subset-1, axiom, ( ~in(_u50, _u49) | ~element(_u49, powerset(_u48)) | element(_u50, _u48) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t5_subset ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t5_subset-1, axiom, ( ~in(_u53, _u52) | ~element(_u52, powerset(_u51)) | ~empty(_u51) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t5_wellord1 ( conjecture ) (definitionally) converted to clauses:
% 55.88/56.08 cnf(t5_wellord1-1, negated_conjecture, ( relation(skolem11) )).
% 55.88/56.08 cnf(t5_wellord1-2, negated_conjecture, ( ~_def0 | ~_def1 )).
% 55.88/56.08 cnf(t5_wellord1-3, negated_conjecture, ( _def0 | well_founded_relation(skolem11) )).
% 55.88/56.08 cnf(t5_wellord1-4, negated_conjecture, ( _def0 | ~is_well_founded_in(skolem11, relation_field(skolem11)) )).
% 55.88/56.08 cnf(t5_wellord1-5, negated_conjecture, ( _def1 | is_well_founded_in(skolem11, relation_field(skolem11)) )).
% 55.88/56.08 cnf(t5_wellord1-6, negated_conjecture, ( _def1 | ~well_founded_relation(skolem11) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t6_boole ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t6_boole-1, axiom, ( ~empty(_u55) | ( _u55 = empty_set) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t7_boole ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t7_boole-1, axiom, ( ~in(_u57, _u56) | ~empty(_u56) )).
% 55.88/56.08
% 55.88/56.08 % Formula: t8_boole ( axiom ) converted to clauses:
% 55.88/56.08 cnf(t8_boole-1, axiom, ( ~empty(_u59) | ( _u59 = _u58) | ~empty(_u58) )).
% 55.88/56.08
% 55.88/56.08 % Problem matrix:
% 55.88/56.08 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 55.88/56.08 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 55.88/56.08 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 55.88/56.08 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 55.88/56.08 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( relation_field(__eqx_0) = relation_field(__eqy_0)) )).
% 55.88/56.08 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( fiber(__eqx_0, __eqx_1) = fiber(__eqy_0, __eqy_1)) )).
% 55.88/56.08 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 55.88/56.08 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( relation_rng(__eqx_0) = relation_rng(__eqy_0)) )).
% 55.88/56.08 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 55.88/56.08 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 55.88/56.08 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 55.88/56.08 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 55.88/56.08 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 55.88/56.08 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 55.88/56.08 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 55.88/56.08 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 55.88/56.08 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 55.88/56.08 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 55.88/56.08 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 55.88/56.08 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~well_founded_relation(__eqx_0) | well_founded_relation(__eqy_0) )).
% 55.88/56.08 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 55.88/56.08 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 55.88/56.08 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~is_well_founded_in(__eqx_0, __eqx_1) | is_well_founded_in(__eqy_0, __eqy_1) )).
% 55.88/56.08 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 55.88/56.08 cnf(matrix-24, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 55.88/56.08 cnf(matrix-25, plain, ( ~empty(_u2) | function(_u2) )).
% 55.88/56.08 cnf(matrix-26, plain, ( ~relation(_u3) | ~empty(_u3) | ~function(_u3) | one_to_one(_u3) )).
% 55.88/56.08 cnf(matrix-27, plain, ( ( set_union2(_u5, _u4) = set_union2(_u4, _u5)) )).
% 55.88/56.08 cnf(matrix-28, plain, ( ~relation(_u10) | ~well_founded_relation(_u10) | ~subset(_u7, relation_field(_u10)) | ( _u7 = empty_set) | in(skolem1(_u10, _u7), _u7) )).
% 55.88/56.08 cnf(matrix-29, plain, ( ~relation(_u10) | ~well_founded_relation(_u10) | ~subset(_u7, relation_field(_u10)) | ( _u7 = empty_set) | disjoint(fiber(_u10, skolem1(_u10, _u7)), _u7) )).
% 55.88/56.08 cnf(matrix-30, plain, ( ~relation(_u10) | well_founded_relation(_u10) | subset(skolem2(_u10), relation_field(_u10)) )).
% 55.88/56.08 cnf(matrix-31, plain, ( ~relation(_u10) | well_founded_relation(_u10) | ( skolem2(_u10) != empty_set) )).
% 55.88/56.08 cnf(matrix-32, plain, ( ~relation(_u10) | well_founded_relation(_u10) | ~in(_u8, skolem2(_u10)) | ~disjoint(fiber(_u10, _u8), skolem2(_u10)) )).
% 55.88/56.08 cnf(matrix-33, plain, ( ~relation(_u16) | ~is_well_founded_in(_u16, _u17) | ~subset(_u12, _u17) | ( _u12 = empty_set) | in(skolem3(_u16, _u17, _u12), _u12) )).
% 55.88/56.08 cnf(matrix-34, plain, ( ~relation(_u16) | ~is_well_founded_in(_u16, _u17) | ~subset(_u12, _u17) | ( _u12 = empty_set) | disjoint(fiber(_u16, skolem3(_u16, _u17, _u12)), _u12) )).
% 55.88/56.08 cnf(matrix-35, plain, ( ~relation(_u16) | is_well_founded_in(_u16, _u18) | subset(skolem4(_u16, _u18), _u18) )).
% 55.88/56.08 cnf(matrix-36, plain, ( ~relation(_u16) | is_well_founded_in(_u16, _u18) | ( skolem4(_u16, _u18) != empty_set) )).
% 55.88/56.08 cnf(matrix-37, plain, ( ~relation(_u16) | is_well_founded_in(_u16, _u18) | ~in(_u13, skolem4(_u16, _u18)) | ~disjoint(fiber(_u16, _u13), skolem4(_u16, _u18)) )).
% 55.88/56.08 cnf(matrix-38, plain, ( ~relation(_u19) | ( relation_field(_u19) = set_union2(relation_dom(_u19), relation_rng(_u19))) )).
% 55.88/56.08 cnf(matrix-39, plain, ( element(skolem5(_u21), _u21) )).
% 55.88/56.08 cnf(matrix-40, plain, ( empty(empty_set) )).
% 55.88/56.08 cnf(matrix-41, plain, ( empty(_u23) | ~empty(set_union2(_u23, _u22)) )).
% 55.88/56.08 cnf(matrix-42, plain, ( empty(_u25) | ~empty(set_union2(_u24, _u25)) )).
% 55.88/56.08 cnf(matrix-43, plain, ( ( set_union2(_u27, _u27) = _u27) )).
% 55.88/56.08 cnf(matrix-44, plain, ( relation(skolem6) )).
% 55.88/56.08 cnf(matrix-45, plain, ( function(skolem6) )).
% 55.88/56.08 cnf(matrix-46, plain, ( empty(skolem7) )).
% 55.88/56.08 cnf(matrix-47, plain, ( relation(skolem8) )).
% 55.88/56.08 cnf(matrix-48, plain, ( empty(skolem8) )).
% 55.88/56.08 cnf(matrix-49, plain, ( function(skolem8) )).
% 55.88/56.08 cnf(matrix-50, plain, ( ~empty(skolem9) )).
% 55.88/56.08 cnf(matrix-51, plain, ( relation(skolem10) )).
% 55.88/56.08 cnf(matrix-52, plain, ( function(skolem10) )).
% 55.88/56.08 cnf(matrix-53, plain, ( one_to_one(skolem10) )).
% 55.88/56.08 cnf(matrix-54, plain, ( subset(_u34, _u34) )).
% 55.88/56.08 cnf(matrix-55, plain, ( ~disjoint(_u36, _u35) | disjoint(_u35, _u36) )).
% 55.88/56.08 cnf(matrix-56, plain, ( ( set_union2(_u37, empty_set) = _u37) )).
% 55.88/56.08 cnf(matrix-57, plain, ( ~in(_u39, _u38) | element(_u39, _u38) )).
% 55.88/56.08 cnf(matrix-58, plain, ( ~element(_u41, _u40) | empty(_u40) | in(_u41, _u40) )).
% 55.88/56.08 cnf(matrix-59, plain, ( ~element(_u46, powerset(_u44)) | subset(_u46, _u44) )).
% 55.88/56.08 cnf(matrix-60, plain, ( ~subset(_u47, _u45) | element(_u47, powerset(_u45)) )).
% 55.88/56.08 cnf(matrix-61, plain, ( ~in(_u50, _u49) | ~element(_u49, powerset(_u48)) | element(_u50, _u48) )).
% 55.88/56.08 cnf(matrix-62, plain, ( ~in(_u53, _u52) | ~element(_u52, powerset(_u51)) | ~empty(_u51) )).
% 55.88/56.08 cnf(matrix-63, plain, ( relation(skolem11) )).
% 55.88/56.08 cnf(matrix-64, plain, ( ~_def0 | ~_def1 )).
% 55.88/56.08 cnf(matrix-65, plain, ( _def0 | well_founded_relation(skolem11) )).
% 55.88/56.08 cnf(matrix-66, plain, ( _def0 | ~is_well_founded_in(skolem11, relation_field(skolem11)) )).
% 55.88/56.08 cnf(matrix-67, plain, ( _def1 | is_well_founded_in(skolem11, relation_field(skolem11)) )).
% 55.88/56.08 cnf(matrix-68, plain, ( _def1 | ~well_founded_relation(skolem11) )).
% 55.88/56.08 cnf(matrix-69, plain, ( ~empty(_u55) | ( _u55 = empty_set) )).
% 55.88/56.08 cnf(matrix-70, plain, ( ~in(_u57, _u56) | ~empty(_u56) )).
% 55.88/56.08 cnf(matrix-71, plain, ( ~empty(_u59) | ( _u59 = _u58) | ~empty(_u58) )).
% 55.88/56.08
% 55.88/56.08 % Proof stack:
% 55.88/56.08 cnf(proof-stack, plain,
% 55.88/56.08 proof_stack(
% 55.88/56.08 start(64),
% 55.88/56.08 left_branch(0, 66, 0, 2),
% 55.88/56.08 left_branch(0, 37, 1, 3),
% 55.88/56.08 left_branch(0, 63, 0, 4),
% 55.88/56.08 right_branch(4),
% 55.88/56.08 left_branch(0, 28, 4, 5),
% 55.88/56.08 left_branch(0, 63, 0, 6),
% 55.88/56.08 right_branch(6),
% 55.88/56.08 left_branch(0, 36, 2, 7),
% 55.88/56.08 lemmata(0, 0),
% 55.88/56.08 reduction(0, 1),
% 55.88/56.08 right_branch(7),
% 55.88/56.08 left_branch(0, 35, 2, 8),
% 55.88/56.08 lemmata(0, 0),
% 55.88/56.08 reduction(0, 1),
% 55.88/56.08 right_branch(8),
% 55.88/56.08 left_branch(0, 65, 1, 9),
% 55.88/56.08 reduction(0, 0),
% 55.88/56.08 right_branch(9),
% 55.88/56.08 right_branch(5),
% 55.88/56.08 left_branch(0, 29, 4, 6),
% 55.88/56.08 lemmata(0, 0),
% 55.88/56.08 left_branch(0, 36, 2, 8),
% 55.88/56.08 lemmata(0, 0),
% 55.88/56.08 reduction(0, 1),
% 55.88/56.08 right_branch(8),
% 55.88/56.08 left_branch(0, 35, 2, 9),
% 55.88/56.08 lemmata(0, 0),
% 55.88/56.08 reduction(0, 1),
% 55.88/56.08 right_branch(9),
% 55.88/56.08 left_branch(0, 65, 1, 10),
% 55.88/56.08 reduction(0, 0),
% 55.88/56.08 right_branch(10),
% 55.88/56.08 right_branch(6),
% 55.88/56.08 right_branch(3),
% 55.88/56.08 right_branch(2),
% 55.88/56.08 left_branch(0, 67, 0, 3),
% 55.88/56.08 left_branch(0, 34, 1, 4),
% 55.88/56.08 left_branch(0, 63, 0, 5),
% 55.88/56.08 right_branch(5),
% 55.88/56.08 left_branch(0, 31, 2, 6),
% 55.88/56.08 left_branch(0, 63, 0, 7),
% 55.88/56.08 right_branch(7),
% 55.88/56.08 left_branch(0, 68, 1, 8),
% 55.88/56.08 reduction(0, 0),
% 55.88/56.08 right_branch(8),
% 55.88/56.08 right_branch(6),
% 55.88/56.08 left_branch(0, 30, 2, 7),
% 55.88/56.08 lemmata(0, 1),
% 55.88/56.08 left_branch(0, 68, 1, 9),
% 55.88/56.08 reduction(0, 0),
% 55.88/56.08 right_branch(9),
% 55.88/56.08 right_branch(7),
% 55.88/56.08 left_branch(0, 32, 3, 8),
% 55.88/56.08 lemmata(0, 1),
% 55.88/56.08 left_branch(0, 33, 4, 10),
% 55.88/56.08 lemmata(0, 1),
% 55.88/56.08 lemmata(0, 2),
% 55.88/56.08 lemmata(0, 3),
% 55.88/56.08 reduction(0, 1),
% 55.88/56.08 right_branch(10),
% 55.88/56.08 left_branch(0, 68, 1, 11),
% 55.88/56.08 reduction(0, 0),
% 55.88/56.08 right_branch(11),
% 55.88/56.08 right_branch(8),
% 55.88/56.08 right_branch(4),
% 55.88/56.08 right_branch(3)
% 55.88/56.08 )).
% 55.88/56.08 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------