TSTP Solution File: SET679+3 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET679+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n015.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 14:32:14 EDT 2024
% Result : Theorem 44.95s 45.11s
% Output : Proof 44.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET679+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n015.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
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Mar 20 22:17:19 EDT 2024
% 0.14/0.34 % CPUTime :
% 44.95/45.11 % SZS status Theorem for theBenchmark
% 44.95/45.11 % SZS output start Proof for theBenchmark
% 44.95/45.11
% 44.95/45.11 % Formula: p1 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p1-1, axiom, ( ~ilf_type(_u1, set_type) | ~ilf_type(_u0, set_type) | ~member(_u0, _u1) | member(ordered_pair(_u0, _u0), identity_relation_of(_u1)) )).
% 44.95/45.11 cnf(p1-2, axiom, ( ~ilf_type(_u1, set_type) | ~ilf_type(_u0, set_type) | ~member(ordered_pair(_u0, _u0), identity_relation_of(_u1)) | member(_u0, _u1) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p2 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p2-1, axiom, ( ~ilf_type(_u2, set_type) | ~member(_u2, empty_set) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p3a ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p3a-1, axiom, ( empty(empty_set) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p3b ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p3b-1, axiom, ( type(empty_set, set_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p4 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p4-1, axiom, ( ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~ilf_type(_u3, set_type) | ~member(ordered_pair(_u4, _u3), identity_relation_of(_u5)) | member(_u4, _u5) )).
% 44.95/45.11 cnf(p4-2, axiom, ( ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~ilf_type(_u3, set_type) | ~member(ordered_pair(_u4, _u3), identity_relation_of(_u5)) | ( _u4 = _u3) )).
% 44.95/45.11 cnf(p4-3, axiom, ( ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~ilf_type(_u3, set_type) | ~member(_u4, _u5) | ( _u4 != _u3) | member(ordered_pair(_u4, _u3), identity_relation_of(_u5)) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p5 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p5-1, axiom, ( ~ilf_type(_u6, set_type) | ilf_type(identity_relation_of(_u6), binary_relation_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p6 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p6-1, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 != _u9) | ~ilf_type(_u7, set_type) | ~member(_u7, _u10) | member(_u7, _u9) )).
% 44.95/45.11 cnf(p6-2, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 != _u9) | ~ilf_type(_u7, set_type) | ~member(_u7, _u9) | member(_u7, _u10) )).
% 44.95/45.11 cnf(p6-3, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 = _u9) | ilf_type(skolem1(_u10, _u9), set_type) )).
% 44.95/45.11 cnf(p6-4, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 = _u9) | member(skolem1(_u10, _u9), _u10) | member(skolem1(_u10, _u9), _u9) )).
% 44.95/45.11 cnf(p6-5, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 = _u9) | ~member(skolem1(_u10, _u9), _u9) | ~member(skolem1(_u10, _u9), _u10) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p7 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p7-1, axiom, ( ~ilf_type(_u12, set_type) | ~ilf_type(_u11, set_type) | ~not_equal(_u12, _u11) | ( _u12 != _u11) )).
% 44.95/45.11 cnf(p7-2, axiom, ( ~ilf_type(_u12, set_type) | ~ilf_type(_u11, set_type) | ( _u12 = _u11) | not_equal(_u12, _u11) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p8 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p8-1, axiom, ( ~ilf_type(_u15, set_type) | ~empty(_u15) | ~ilf_type(_u13, set_type) | ~member(_u13, _u15) )).
% 44.95/45.11 cnf(p8-2, axiom, ( ~ilf_type(_u15, set_type) | empty(_u15) | ilf_type(skolem2(_u15), set_type) )).
% 44.95/45.11 cnf(p8-3, axiom, ( ~ilf_type(_u15, set_type) | empty(_u15) | member(skolem2(_u15), _u15) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p9 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p9-1, axiom, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | ilf_type(ordered_pair(_u17, _u16), set_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p10 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p10-1, axiom, ( ~ilf_type(_u18, set_type) | ~ilf_type(_u18, binary_relation_type) | relation_like(_u18) )).
% 44.95/45.11 cnf(p10-2, axiom, ( ~ilf_type(_u18, set_type) | ~relation_like(_u18) | ilf_type(_u18, binary_relation_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p11 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p11-1, axiom, ( ilf_type(skolem3, binary_relation_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p12 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p12-1, axiom, ( ~ilf_type(_u26, set_type) | ~relation_like(_u26) | ~ilf_type(_u22, set_type) | ~member(_u22, _u26) | ilf_type(skolem4(_u26, _u22), set_type) )).
% 44.95/45.11 cnf(p12-2, axiom, ( ~ilf_type(_u26, set_type) | ~relation_like(_u26) | ~ilf_type(_u22, set_type) | ~member(_u22, _u26) | ilf_type(skolem5(_u26, _u22), set_type) )).
% 44.95/45.11 cnf(p12-3, axiom, ( ~ilf_type(_u26, set_type) | ~relation_like(_u26) | ~ilf_type(_u22, set_type) | ~member(_u22, _u26) | ( _u22 = ordered_pair(skolem4(_u26, _u22), skolem5(_u26, _u22))) )).
% 44.95/45.11 cnf(p12-4, axiom, ( ~ilf_type(_u26, set_type) | relation_like(_u26) | ilf_type(skolem6(_u26), set_type) )).
% 44.95/45.11 cnf(p12-5, axiom, ( ~ilf_type(_u26, set_type) | relation_like(_u26) | member(skolem6(_u26), _u26) )).
% 44.95/45.11 cnf(p12-6, axiom, ( ~ilf_type(_u26, set_type) | relation_like(_u26) | ~ilf_type(_u24, set_type) | ~ilf_type(_u23, set_type) | ( skolem6(_u26) != ordered_pair(_u24, _u23)) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p13 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p13-1, axiom, ( ~empty(_u27) | ~ilf_type(_u27, set_type) | relation_like(_u27) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p14 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p14-1, axiom, ( ~ilf_type(_u30, set_type) | ~ilf_type(_u29, set_type) | ~ilf_type(_u28, subset_type(cross_product(_u30, _u29))) | relation_like(_u28) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p15 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p15-1, axiom, ( ~ilf_type(_u32, set_type) | ~ilf_type(_u31, set_type) | ilf_type(cross_product(_u32, _u31), set_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p16 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p16-1, axiom, ( ~ilf_type(_u34, set_type) | ~ilf_type(_u33, set_type) | ~ilf_type(_u33, subset_type(_u34)) | ilf_type(_u33, member_type(power_set(_u34))) )).
% 44.95/45.11 cnf(p16-2, axiom, ( ~ilf_type(_u34, set_type) | ~ilf_type(_u33, set_type) | ~ilf_type(_u33, member_type(power_set(_u34))) | ilf_type(_u33, subset_type(_u34)) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p17 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p17-1, axiom, ( ~ilf_type(_u36, set_type) | ilf_type(skolem7(_u36), subset_type(_u36)) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p18 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p18-1, axiom, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | ~member(_u40, power_set(_u39)) | ~ilf_type(_u37, set_type) | ~member(_u37, _u40) | member(_u37, _u39) )).
% 44.95/45.11 cnf(p18-2, axiom, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | member(_u40, power_set(_u39)) | ilf_type(skolem8(_u40, _u39), set_type) )).
% 44.95/45.11 cnf(p18-3, axiom, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | member(_u40, power_set(_u39)) | member(skolem8(_u40, _u39), _u40) )).
% 44.95/45.11 cnf(p18-4, axiom, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | member(_u40, power_set(_u39)) | ~member(skolem8(_u40, _u39), _u39) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p19 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p19-1, axiom, ( ~ilf_type(_u41, set_type) | ~empty(power_set(_u41)) )).
% 44.95/45.11 cnf(p19-2, axiom, ( ~ilf_type(_u41, set_type) | ilf_type(power_set(_u41), set_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p20 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p20-1, axiom, ( ~ilf_type(_u43, set_type) | empty(_u42) | ~ilf_type(_u42, set_type) | ~ilf_type(_u43, member_type(_u42)) | member(_u43, _u42) )).
% 44.95/45.11 cnf(p20-2, axiom, ( ~ilf_type(_u43, set_type) | empty(_u42) | ~ilf_type(_u42, set_type) | ~member(_u43, _u42) | ilf_type(_u43, member_type(_u42)) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p21 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p21-1, axiom, ( empty(_u45) | ~ilf_type(_u45, set_type) | ilf_type(skolem9(_u45), member_type(_u45)) )).
% 44.95/45.11
% 44.95/45.11 % Formula: p22 ( axiom ) converted to clauses:
% 44.95/45.11 cnf(p22-1, axiom, ( ilf_type(_u46, set_type) )).
% 44.95/45.11
% 44.95/45.11 % Formula: prove_relset_1_46 ( conjecture ) (definitionally) converted to clauses:
% 44.95/45.11 cnf(prove_relset_1_46-1, negated_conjecture, ( ~empty(skolem10) )).
% 44.95/45.11 cnf(prove_relset_1_46-2, negated_conjecture, ( ilf_type(skolem10, set_type) )).
% 44.95/45.11 cnf(prove_relset_1_46-3, negated_conjecture, ( ~not_equal(identity_relation_of(skolem10), empty_set) )).
% 44.95/45.11
% 44.95/45.11 % Problem matrix:
% 44.95/45.11 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 44.95/45.11 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 44.95/45.11 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 44.95/45.11 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 44.95/45.11 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( identity_relation_of(__eqx_0) = identity_relation_of(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cross_product(__eqx_0, __eqx_1) = cross_product(__eqy_0, __eqy_1)) )).
% 44.95/45.11 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( subset_type(__eqx_0) = subset_type(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( power_set(__eqx_0) = power_set(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( member_type(__eqx_0) = member_type(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 44.95/45.11 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 44.95/45.11 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 44.95/45.11 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 44.95/45.11 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 44.95/45.11 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ilf_type(__eqx_0, __eqx_1) | ilf_type(__eqy_0, __eqy_1) )).
% 44.95/45.11 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 44.95/45.11 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 44.95/45.11 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~type(__eqx_0, __eqx_1) | type(__eqy_0, __eqy_1) )).
% 44.95/45.11 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~not_equal(__eqx_0, __eqx_1) | not_equal(__eqy_0, __eqy_1) )).
% 44.95/45.11 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~relation_like(__eqx_0) | relation_like(__eqy_0) )).
% 44.95/45.11 cnf(matrix-23, plain, ( ~ilf_type(_u1, set_type) | ~ilf_type(_u0, set_type) | ~member(_u0, _u1) | member(ordered_pair(_u0, _u0), identity_relation_of(_u1)) )).
% 44.95/45.11 cnf(matrix-24, plain, ( ~ilf_type(_u1, set_type) | ~ilf_type(_u0, set_type) | ~member(ordered_pair(_u0, _u0), identity_relation_of(_u1)) | member(_u0, _u1) )).
% 44.95/45.11 cnf(matrix-25, plain, ( ~ilf_type(_u2, set_type) | ~member(_u2, empty_set) )).
% 44.95/45.11 cnf(matrix-26, plain, ( empty(empty_set) )).
% 44.95/45.11 cnf(matrix-27, plain, ( type(empty_set, set_type) )).
% 44.95/45.11 cnf(matrix-28, plain, ( ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~ilf_type(_u3, set_type) | ~member(ordered_pair(_u4, _u3), identity_relation_of(_u5)) | member(_u4, _u5) )).
% 44.95/45.11 cnf(matrix-29, plain, ( ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~ilf_type(_u3, set_type) | ~member(ordered_pair(_u4, _u3), identity_relation_of(_u5)) | ( _u4 = _u3) )).
% 44.95/45.11 cnf(matrix-30, plain, ( ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~ilf_type(_u3, set_type) | ~member(_u4, _u5) | ( _u4 != _u3) | member(ordered_pair(_u4, _u3), identity_relation_of(_u5)) )).
% 44.95/45.11 cnf(matrix-31, plain, ( ~ilf_type(_u6, set_type) | ilf_type(identity_relation_of(_u6), binary_relation_type) )).
% 44.95/45.11 cnf(matrix-32, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 != _u9) | ~ilf_type(_u7, set_type) | ~member(_u7, _u10) | member(_u7, _u9) )).
% 44.95/45.11 cnf(matrix-33, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 != _u9) | ~ilf_type(_u7, set_type) | ~member(_u7, _u9) | member(_u7, _u10) )).
% 44.95/45.11 cnf(matrix-34, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 = _u9) | ilf_type(skolem1(_u10, _u9), set_type) )).
% 44.95/45.11 cnf(matrix-35, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 = _u9) | member(skolem1(_u10, _u9), _u10) | member(skolem1(_u10, _u9), _u9) )).
% 44.95/45.11 cnf(matrix-36, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ( _u10 = _u9) | ~member(skolem1(_u10, _u9), _u9) | ~member(skolem1(_u10, _u9), _u10) )).
% 44.95/45.11 cnf(matrix-37, plain, ( ~ilf_type(_u12, set_type) | ~ilf_type(_u11, set_type) | ~not_equal(_u12, _u11) | ( _u12 != _u11) )).
% 44.95/45.11 cnf(matrix-38, plain, ( ~ilf_type(_u12, set_type) | ~ilf_type(_u11, set_type) | ( _u12 = _u11) | not_equal(_u12, _u11) )).
% 44.95/45.11 cnf(matrix-39, plain, ( ~ilf_type(_u15, set_type) | ~empty(_u15) | ~ilf_type(_u13, set_type) | ~member(_u13, _u15) )).
% 44.95/45.11 cnf(matrix-40, plain, ( ~ilf_type(_u15, set_type) | empty(_u15) | ilf_type(skolem2(_u15), set_type) )).
% 44.95/45.11 cnf(matrix-41, plain, ( ~ilf_type(_u15, set_type) | empty(_u15) | member(skolem2(_u15), _u15) )).
% 44.95/45.11 cnf(matrix-42, plain, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | ilf_type(ordered_pair(_u17, _u16), set_type) )).
% 44.95/45.11 cnf(matrix-43, plain, ( ~ilf_type(_u18, set_type) | ~ilf_type(_u18, binary_relation_type) | relation_like(_u18) )).
% 44.95/45.11 cnf(matrix-44, plain, ( ~ilf_type(_u18, set_type) | ~relation_like(_u18) | ilf_type(_u18, binary_relation_type) )).
% 44.95/45.11 cnf(matrix-45, plain, ( ilf_type(skolem3, binary_relation_type) )).
% 44.95/45.11 cnf(matrix-46, plain, ( ~ilf_type(_u26, set_type) | ~relation_like(_u26) | ~ilf_type(_u22, set_type) | ~member(_u22, _u26) | ilf_type(skolem4(_u26, _u22), set_type) )).
% 44.95/45.11 cnf(matrix-47, plain, ( ~ilf_type(_u26, set_type) | ~relation_like(_u26) | ~ilf_type(_u22, set_type) | ~member(_u22, _u26) | ilf_type(skolem5(_u26, _u22), set_type) )).
% 44.95/45.11 cnf(matrix-48, plain, ( ~ilf_type(_u26, set_type) | ~relation_like(_u26) | ~ilf_type(_u22, set_type) | ~member(_u22, _u26) | ( _u22 = ordered_pair(skolem4(_u26, _u22), skolem5(_u26, _u22))) )).
% 44.95/45.11 cnf(matrix-49, plain, ( ~ilf_type(_u26, set_type) | relation_like(_u26) | ilf_type(skolem6(_u26), set_type) )).
% 44.95/45.11 cnf(matrix-50, plain, ( ~ilf_type(_u26, set_type) | relation_like(_u26) | member(skolem6(_u26), _u26) )).
% 44.95/45.11 cnf(matrix-51, plain, ( ~ilf_type(_u26, set_type) | relation_like(_u26) | ~ilf_type(_u24, set_type) | ~ilf_type(_u23, set_type) | ( skolem6(_u26) != ordered_pair(_u24, _u23)) )).
% 44.95/45.11 cnf(matrix-52, plain, ( ~empty(_u27) | ~ilf_type(_u27, set_type) | relation_like(_u27) )).
% 44.95/45.11 cnf(matrix-53, plain, ( ~ilf_type(_u30, set_type) | ~ilf_type(_u29, set_type) | ~ilf_type(_u28, subset_type(cross_product(_u30, _u29))) | relation_like(_u28) )).
% 44.95/45.11 cnf(matrix-54, plain, ( ~ilf_type(_u32, set_type) | ~ilf_type(_u31, set_type) | ilf_type(cross_product(_u32, _u31), set_type) )).
% 44.95/45.11 cnf(matrix-55, plain, ( ~ilf_type(_u34, set_type) | ~ilf_type(_u33, set_type) | ~ilf_type(_u33, subset_type(_u34)) | ilf_type(_u33, member_type(power_set(_u34))) )).
% 44.95/45.11 cnf(matrix-56, plain, ( ~ilf_type(_u34, set_type) | ~ilf_type(_u33, set_type) | ~ilf_type(_u33, member_type(power_set(_u34))) | ilf_type(_u33, subset_type(_u34)) )).
% 44.95/45.11 cnf(matrix-57, plain, ( ~ilf_type(_u36, set_type) | ilf_type(skolem7(_u36), subset_type(_u36)) )).
% 44.95/45.11 cnf(matrix-58, plain, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | ~member(_u40, power_set(_u39)) | ~ilf_type(_u37, set_type) | ~member(_u37, _u40) | member(_u37, _u39) )).
% 44.95/45.11 cnf(matrix-59, plain, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | member(_u40, power_set(_u39)) | ilf_type(skolem8(_u40, _u39), set_type) )).
% 44.95/45.11 cnf(matrix-60, plain, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | member(_u40, power_set(_u39)) | member(skolem8(_u40, _u39), _u40) )).
% 44.95/45.11 cnf(matrix-61, plain, ( ~ilf_type(_u40, set_type) | ~ilf_type(_u39, set_type) | member(_u40, power_set(_u39)) | ~member(skolem8(_u40, _u39), _u39) )).
% 44.95/45.11 cnf(matrix-62, plain, ( ~ilf_type(_u41, set_type) | ~empty(power_set(_u41)) )).
% 44.95/45.11 cnf(matrix-63, plain, ( ~ilf_type(_u41, set_type) | ilf_type(power_set(_u41), set_type) )).
% 44.95/45.11 cnf(matrix-64, plain, ( ~ilf_type(_u43, set_type) | empty(_u42) | ~ilf_type(_u42, set_type) | ~ilf_type(_u43, member_type(_u42)) | member(_u43, _u42) )).
% 44.95/45.11 cnf(matrix-65, plain, ( ~ilf_type(_u43, set_type) | empty(_u42) | ~ilf_type(_u42, set_type) | ~member(_u43, _u42) | ilf_type(_u43, member_type(_u42)) )).
% 44.95/45.11 cnf(matrix-66, plain, ( empty(_u45) | ~ilf_type(_u45, set_type) | ilf_type(skolem9(_u45), member_type(_u45)) )).
% 44.95/45.11 cnf(matrix-67, plain, ( ilf_type(_u46, set_type) )).
% 44.95/45.11 cnf(matrix-68, plain, ( ~empty(skolem10) )).
% 44.95/45.11 cnf(matrix-69, plain, ( ilf_type(skolem10, set_type) )).
% 44.95/45.11 cnf(matrix-70, plain, ( ~not_equal(identity_relation_of(skolem10), empty_set) )).
% 44.95/45.11
% 44.95/45.11 % Proof stack:
% 44.95/45.11 cnf(proof-stack, plain,
% 44.95/45.11 proof_stack(
% 44.95/45.11 start(69),
% 44.95/45.11 left_branch(0, 23, 0, 2),
% 44.95/45.11 left_branch(0, 32, 4, 3),
% 44.95/45.11 left_branch(0, 67, 0, 4),
% 44.95/45.11 right_branch(4),
% 44.95/45.11 left_branch(0, 25, 1, 5),
% 44.95/45.11 left_branch(0, 67, 0, 6),
% 44.95/45.11 right_branch(6),
% 44.95/45.11 right_branch(5),
% 44.95/45.11 left_branch(0, 67, 0, 6),
% 44.95/45.11 right_branch(6),
% 44.95/45.11 left_branch(0, 38, 2, 7),
% 44.95/45.11 lemmata(0, 0),
% 44.95/45.11 left_branch(0, 70, 0, 9),
% 44.95/45.11 right_branch(9),
% 44.95/45.11 left_branch(0, 67, 0, 10),
% 44.95/45.11 right_branch(10),
% 44.95/45.11 right_branch(7),
% 44.95/45.11 left_branch(0, 67, 0, 8),
% 44.95/45.11 right_branch(8),
% 44.95/45.11 right_branch(3),
% 44.95/45.11 left_branch(0, 41, 2, 4),
% 44.95/45.11 reduction(0, 0),
% 44.95/45.11 left_branch(0, 68, 0, 6),
% 44.95/45.11 right_branch(6),
% 44.95/45.11 right_branch(4),
% 44.95/45.11 left_branch(0, 67, 0, 5),
% 44.95/45.11 right_branch(5),
% 44.95/45.11 right_branch(2)
% 44.95/45.11 )).
% 44.95/45.11 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------