TSTP Solution File: SET642+3 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET642+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 : n018.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 14:32:10 EDT 2024
% Result : Theorem 0.37s 0.53s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 21:57:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.37/0.53 % SZS status Theorem for theBenchmark
% 0.37/0.53 % SZS output start Proof for theBenchmark
% 0.37/0.53
% 0.37/0.53 % Formula: p1 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p1-1, axiom, ( ~ilf_type(_u3, set_type) | ~ilf_type(_u2, set_type) | ~ilf_type(_u1, set_type) | ~ilf_type(_u0, relation_type(_u2, _u1)) | ~subset(_u3, _u0) | subset(_u3, cross_product(_u2, _u1)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p2 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p2-1, axiom, ( ~ilf_type(_u6, set_type) | ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~subset(_u6, cross_product(_u5, _u4)) | ilf_type(_u6, relation_type(_u5, _u4)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p3 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p3-1, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ~ilf_type(_u7, subset_type(cross_product(_u10, _u9))) | ilf_type(_u7, relation_type(_u10, _u9)) )).
% 0.37/0.53 cnf(p3-2, axiom, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ~ilf_type(_u8, relation_type(_u10, _u9)) | ilf_type(_u8, subset_type(cross_product(_u10, _u9))) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p4 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p4-1, axiom, ( ~ilf_type(_u13, set_type) | ~ilf_type(_u12, set_type) | ilf_type(skolem1(_u13, _u12), relation_type(_u12, _u13)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p5 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p5-1, axiom, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | ~subset(_u17, _u16) | ~ilf_type(_u14, set_type) | ~member(_u14, _u17) | member(_u14, _u16) )).
% 0.37/0.53 cnf(p5-2, axiom, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | subset(_u17, _u16) | ilf_type(skolem2(_u17, _u16), set_type) )).
% 0.37/0.53 cnf(p5-3, axiom, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | subset(_u17, _u16) | member(skolem2(_u17, _u16), _u17) )).
% 0.37/0.53 cnf(p5-4, axiom, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | subset(_u17, _u16) | ~member(skolem2(_u17, _u16), _u16) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p6 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p6-1, axiom, ( ~ilf_type(_u19, set_type) | ~ilf_type(_u18, set_type) | ilf_type(cross_product(_u19, _u18), set_type) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p7 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p7-1, axiom, ( ~ilf_type(_u21, set_type) | ~ilf_type(_u20, set_type) | ~ilf_type(_u20, subset_type(_u21)) | ilf_type(_u20, member_type(power_set(_u21))) )).
% 0.37/0.53 cnf(p7-2, axiom, ( ~ilf_type(_u21, set_type) | ~ilf_type(_u20, set_type) | ~ilf_type(_u20, member_type(power_set(_u21))) | ilf_type(_u20, subset_type(_u21)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p8 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p8-1, axiom, ( ~ilf_type(_u23, set_type) | ilf_type(skolem3(_u23), subset_type(_u23)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p9 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p9-1, axiom, ( ~ilf_type(_u24, set_type) | subset(_u24, _u24) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p10 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p10-1, axiom, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | ~member(_u28, power_set(_u27)) | ~ilf_type(_u25, set_type) | ~member(_u25, _u28) | member(_u25, _u27) )).
% 0.37/0.53 cnf(p10-2, axiom, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | member(_u28, power_set(_u27)) | ilf_type(skolem4(_u28, _u27), set_type) )).
% 0.37/0.53 cnf(p10-3, axiom, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | member(_u28, power_set(_u27)) | member(skolem4(_u28, _u27), _u28) )).
% 0.37/0.53 cnf(p10-4, axiom, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | member(_u28, power_set(_u27)) | ~member(skolem4(_u28, _u27), _u27) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p11 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p11-1, axiom, ( ~ilf_type(_u29, set_type) | ~empty(power_set(_u29)) )).
% 0.37/0.53 cnf(p11-2, axiom, ( ~ilf_type(_u29, set_type) | ilf_type(power_set(_u29), set_type) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p12 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p12-1, axiom, ( ~ilf_type(_u31, set_type) | empty(_u30) | ~ilf_type(_u30, set_type) | ~ilf_type(_u31, member_type(_u30)) | member(_u31, _u30) )).
% 0.37/0.53 cnf(p12-2, axiom, ( ~ilf_type(_u31, set_type) | empty(_u30) | ~ilf_type(_u30, set_type) | ~member(_u31, _u30) | ilf_type(_u31, member_type(_u30)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p13 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p13-1, axiom, ( empty(_u33) | ~ilf_type(_u33, set_type) | ilf_type(skolem5(_u33), member_type(_u33)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p14 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p14-1, axiom, ( ~ilf_type(_u36, set_type) | ~empty(_u36) | ~ilf_type(_u34, set_type) | ~member(_u34, _u36) )).
% 0.37/0.53 cnf(p14-2, axiom, ( ~ilf_type(_u36, set_type) | empty(_u36) | ilf_type(skolem6(_u36), set_type) )).
% 0.37/0.53 cnf(p14-3, axiom, ( ~ilf_type(_u36, set_type) | empty(_u36) | member(skolem6(_u36), _u36) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p15 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p15-1, axiom, ( ~ilf_type(_u43, set_type) | ~relation_like(_u43) | ~ilf_type(_u39, set_type) | ~member(_u39, _u43) | ilf_type(skolem7(_u43, _u39), set_type) )).
% 0.37/0.53 cnf(p15-2, axiom, ( ~ilf_type(_u43, set_type) | ~relation_like(_u43) | ~ilf_type(_u39, set_type) | ~member(_u39, _u43) | ilf_type(skolem8(_u43, _u39), set_type) )).
% 0.37/0.53 cnf(p15-3, axiom, ( ~ilf_type(_u43, set_type) | ~relation_like(_u43) | ~ilf_type(_u39, set_type) | ~member(_u39, _u43) | ( _u39 = ordered_pair(skolem7(_u43, _u39), skolem8(_u43, _u39))) )).
% 0.37/0.53 cnf(p15-4, axiom, ( ~ilf_type(_u43, set_type) | relation_like(_u43) | ilf_type(skolem9(_u43), set_type) )).
% 0.37/0.53 cnf(p15-5, axiom, ( ~ilf_type(_u43, set_type) | relation_like(_u43) | member(skolem9(_u43), _u43) )).
% 0.37/0.53 cnf(p15-6, axiom, ( ~ilf_type(_u43, set_type) | relation_like(_u43) | ~ilf_type(_u41, set_type) | ~ilf_type(_u40, set_type) | ( skolem9(_u43) != ordered_pair(_u41, _u40)) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p16 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p16-1, axiom, ( ~empty(_u44) | ~ilf_type(_u44, set_type) | relation_like(_u44) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p17 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p17-1, axiom, ( ~ilf_type(_u47, set_type) | ~ilf_type(_u46, set_type) | ~ilf_type(_u45, subset_type(cross_product(_u47, _u46))) | relation_like(_u45) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p18 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p18-1, axiom, ( ~ilf_type(_u49, set_type) | ~ilf_type(_u48, set_type) | ilf_type(ordered_pair(_u49, _u48), set_type) )).
% 0.37/0.53
% 0.37/0.53 % Formula: p19 ( axiom ) converted to clauses:
% 0.37/0.53 cnf(p19-1, axiom, ( ilf_type(_u50, set_type) )).
% 0.37/0.53
% 0.37/0.53 % Formula: prove_relset_1_4 ( conjecture ) (definitionally) converted to clauses:
% 0.37/0.53 cnf(prove_relset_1_4-1, negated_conjecture, ( ilf_type(skolem10, set_type) )).
% 0.37/0.53 cnf(prove_relset_1_4-2, negated_conjecture, ( ilf_type(skolem11, set_type) )).
% 0.37/0.53 cnf(prove_relset_1_4-3, negated_conjecture, ( ilf_type(skolem12, set_type) )).
% 0.37/0.53 cnf(prove_relset_1_4-4, negated_conjecture, ( ilf_type(skolem13, relation_type(skolem11, skolem12)) )).
% 0.37/0.53 cnf(prove_relset_1_4-5, negated_conjecture, ( subset(skolem10, skolem13) )).
% 0.37/0.53 cnf(prove_relset_1_4-6, negated_conjecture, ( ~ilf_type(skolem10, relation_type(skolem11, skolem12)) )).
% 0.37/0.53
% 0.37/0.53 % Problem matrix:
% 0.37/0.53 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.37/0.53 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.37/0.53 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.37/0.53 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_type(__eqx_0, __eqx_1) = relation_type(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cross_product(__eqx_0, __eqx_1) = cross_product(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( subset_type(__eqx_0) = subset_type(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( power_set(__eqx_0) = power_set(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( member_type(__eqx_0) = member_type(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 0.37/0.53 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 0.37/0.53 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ilf_type(__eqx_0, __eqx_1) | ilf_type(__eqy_0, __eqy_1) )).
% 0.37/0.53 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.37/0.53 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 0.37/0.53 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.37/0.53 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~relation_like(__eqx_0) | relation_like(__eqy_0) )).
% 0.37/0.53 cnf(matrix-23, plain, ( ~ilf_type(_u3, set_type) | ~ilf_type(_u2, set_type) | ~ilf_type(_u1, set_type) | ~ilf_type(_u0, relation_type(_u2, _u1)) | ~subset(_u3, _u0) | subset(_u3, cross_product(_u2, _u1)) )).
% 0.37/0.53 cnf(matrix-24, plain, ( ~ilf_type(_u6, set_type) | ~ilf_type(_u5, set_type) | ~ilf_type(_u4, set_type) | ~subset(_u6, cross_product(_u5, _u4)) | ilf_type(_u6, relation_type(_u5, _u4)) )).
% 0.37/0.53 cnf(matrix-25, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ~ilf_type(_u7, subset_type(cross_product(_u10, _u9))) | ilf_type(_u7, relation_type(_u10, _u9)) )).
% 0.37/0.53 cnf(matrix-26, plain, ( ~ilf_type(_u10, set_type) | ~ilf_type(_u9, set_type) | ~ilf_type(_u8, relation_type(_u10, _u9)) | ilf_type(_u8, subset_type(cross_product(_u10, _u9))) )).
% 0.37/0.53 cnf(matrix-27, plain, ( ~ilf_type(_u13, set_type) | ~ilf_type(_u12, set_type) | ilf_type(skolem1(_u13, _u12), relation_type(_u12, _u13)) )).
% 0.37/0.53 cnf(matrix-28, plain, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | ~subset(_u17, _u16) | ~ilf_type(_u14, set_type) | ~member(_u14, _u17) | member(_u14, _u16) )).
% 0.37/0.53 cnf(matrix-29, plain, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | subset(_u17, _u16) | ilf_type(skolem2(_u17, _u16), set_type) )).
% 0.37/0.53 cnf(matrix-30, plain, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | subset(_u17, _u16) | member(skolem2(_u17, _u16), _u17) )).
% 0.37/0.53 cnf(matrix-31, plain, ( ~ilf_type(_u17, set_type) | ~ilf_type(_u16, set_type) | subset(_u17, _u16) | ~member(skolem2(_u17, _u16), _u16) )).
% 0.37/0.53 cnf(matrix-32, plain, ( ~ilf_type(_u19, set_type) | ~ilf_type(_u18, set_type) | ilf_type(cross_product(_u19, _u18), set_type) )).
% 0.37/0.53 cnf(matrix-33, plain, ( ~ilf_type(_u21, set_type) | ~ilf_type(_u20, set_type) | ~ilf_type(_u20, subset_type(_u21)) | ilf_type(_u20, member_type(power_set(_u21))) )).
% 0.37/0.53 cnf(matrix-34, plain, ( ~ilf_type(_u21, set_type) | ~ilf_type(_u20, set_type) | ~ilf_type(_u20, member_type(power_set(_u21))) | ilf_type(_u20, subset_type(_u21)) )).
% 0.37/0.53 cnf(matrix-35, plain, ( ~ilf_type(_u23, set_type) | ilf_type(skolem3(_u23), subset_type(_u23)) )).
% 0.37/0.53 cnf(matrix-36, plain, ( ~ilf_type(_u24, set_type) | subset(_u24, _u24) )).
% 0.37/0.53 cnf(matrix-37, plain, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | ~member(_u28, power_set(_u27)) | ~ilf_type(_u25, set_type) | ~member(_u25, _u28) | member(_u25, _u27) )).
% 0.37/0.53 cnf(matrix-38, plain, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | member(_u28, power_set(_u27)) | ilf_type(skolem4(_u28, _u27), set_type) )).
% 0.37/0.53 cnf(matrix-39, plain, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | member(_u28, power_set(_u27)) | member(skolem4(_u28, _u27), _u28) )).
% 0.37/0.53 cnf(matrix-40, plain, ( ~ilf_type(_u28, set_type) | ~ilf_type(_u27, set_type) | member(_u28, power_set(_u27)) | ~member(skolem4(_u28, _u27), _u27) )).
% 0.37/0.53 cnf(matrix-41, plain, ( ~ilf_type(_u29, set_type) | ~empty(power_set(_u29)) )).
% 0.37/0.53 cnf(matrix-42, plain, ( ~ilf_type(_u29, set_type) | ilf_type(power_set(_u29), set_type) )).
% 0.37/0.53 cnf(matrix-43, plain, ( ~ilf_type(_u31, set_type) | empty(_u30) | ~ilf_type(_u30, set_type) | ~ilf_type(_u31, member_type(_u30)) | member(_u31, _u30) )).
% 0.37/0.53 cnf(matrix-44, plain, ( ~ilf_type(_u31, set_type) | empty(_u30) | ~ilf_type(_u30, set_type) | ~member(_u31, _u30) | ilf_type(_u31, member_type(_u30)) )).
% 0.37/0.53 cnf(matrix-45, plain, ( empty(_u33) | ~ilf_type(_u33, set_type) | ilf_type(skolem5(_u33), member_type(_u33)) )).
% 0.37/0.53 cnf(matrix-46, plain, ( ~ilf_type(_u36, set_type) | ~empty(_u36) | ~ilf_type(_u34, set_type) | ~member(_u34, _u36) )).
% 0.37/0.53 cnf(matrix-47, plain, ( ~ilf_type(_u36, set_type) | empty(_u36) | ilf_type(skolem6(_u36), set_type) )).
% 0.37/0.53 cnf(matrix-48, plain, ( ~ilf_type(_u36, set_type) | empty(_u36) | member(skolem6(_u36), _u36) )).
% 0.37/0.53 cnf(matrix-49, plain, ( ~ilf_type(_u43, set_type) | ~relation_like(_u43) | ~ilf_type(_u39, set_type) | ~member(_u39, _u43) | ilf_type(skolem7(_u43, _u39), set_type) )).
% 0.37/0.53 cnf(matrix-50, plain, ( ~ilf_type(_u43, set_type) | ~relation_like(_u43) | ~ilf_type(_u39, set_type) | ~member(_u39, _u43) | ilf_type(skolem8(_u43, _u39), set_type) )).
% 0.37/0.53 cnf(matrix-51, plain, ( ~ilf_type(_u43, set_type) | ~relation_like(_u43) | ~ilf_type(_u39, set_type) | ~member(_u39, _u43) | ( _u39 = ordered_pair(skolem7(_u43, _u39), skolem8(_u43, _u39))) )).
% 0.37/0.53 cnf(matrix-52, plain, ( ~ilf_type(_u43, set_type) | relation_like(_u43) | ilf_type(skolem9(_u43), set_type) )).
% 0.37/0.53 cnf(matrix-53, plain, ( ~ilf_type(_u43, set_type) | relation_like(_u43) | member(skolem9(_u43), _u43) )).
% 0.37/0.53 cnf(matrix-54, plain, ( ~ilf_type(_u43, set_type) | relation_like(_u43) | ~ilf_type(_u41, set_type) | ~ilf_type(_u40, set_type) | ( skolem9(_u43) != ordered_pair(_u41, _u40)) )).
% 0.37/0.53 cnf(matrix-55, plain, ( ~empty(_u44) | ~ilf_type(_u44, set_type) | relation_like(_u44) )).
% 0.37/0.53 cnf(matrix-56, plain, ( ~ilf_type(_u47, set_type) | ~ilf_type(_u46, set_type) | ~ilf_type(_u45, subset_type(cross_product(_u47, _u46))) | relation_like(_u45) )).
% 0.37/0.53 cnf(matrix-57, plain, ( ~ilf_type(_u49, set_type) | ~ilf_type(_u48, set_type) | ilf_type(ordered_pair(_u49, _u48), set_type) )).
% 0.37/0.53 cnf(matrix-58, plain, ( ilf_type(_u50, set_type) )).
% 0.37/0.53 cnf(matrix-59, plain, ( ilf_type(skolem10, set_type) )).
% 0.37/0.53 cnf(matrix-60, plain, ( ilf_type(skolem11, set_type) )).
% 0.37/0.53 cnf(matrix-61, plain, ( ilf_type(skolem12, set_type) )).
% 0.37/0.53 cnf(matrix-62, plain, ( ilf_type(skolem13, relation_type(skolem11, skolem12)) )).
% 0.37/0.53 cnf(matrix-63, plain, ( subset(skolem10, skolem13) )).
% 0.37/0.53 cnf(matrix-64, plain, ( ~ilf_type(skolem10, relation_type(skolem11, skolem12)) )).
% 0.37/0.53
% 0.37/0.53 % Proof stack:
% 0.37/0.53 cnf(proof-stack, plain,
% 0.37/0.53 proof_stack(
% 0.37/0.53 start(64),
% 0.37/0.53 left_branch(0, 24, 4, 2),
% 0.37/0.53 left_branch(0, 59, 0, 3),
% 0.37/0.53 right_branch(3),
% 0.37/0.53 left_branch(0, 23, 5, 4),
% 0.37/0.53 lemmata(0, 0),
% 0.37/0.53 left_branch(0, 63, 0, 6),
% 0.37/0.53 right_branch(6),
% 0.37/0.53 left_branch(0, 62, 0, 7),
% 0.37/0.53 right_branch(7),
% 0.37/0.53 left_branch(0, 61, 0, 8),
% 0.37/0.53 right_branch(8),
% 0.37/0.53 left_branch(0, 60, 0, 9),
% 0.37/0.53 right_branch(9),
% 0.37/0.53 right_branch(4),
% 0.37/0.53 left_branch(0, 61, 0, 5),
% 0.37/0.53 right_branch(5),
% 0.37/0.53 left_branch(0, 60, 0, 6),
% 0.37/0.53 right_branch(6),
% 0.37/0.53 right_branch(2)
% 0.37/0.53 )).
% 0.37/0.53 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------