TSTP Solution File: SEU117+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n017.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 09:20:15 EST 2024
% Result : Theorem 0.52s 0.73s
% Output : Proof 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Mar 3 09:32:28 EST 2024
% 0.12/0.34 % CPUTime :
% 0.52/0.73 % SZS status Theorem for theBenchmark
% 0.52/0.73 % SZS output start Proof for theBenchmark
% 0.52/0.73
% 0.52/0.73 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.52/0.73
% 0.52/0.73 % Formula: cc2_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(cc2_finsub_1-1, axiom, ( ~cup_closed(_u0) | ~diff_closed(_u0) | preboolean(_u0) )).
% 0.52/0.73
% 0.52/0.73 % Formula: cc1_finset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(cc1_finset_1-1, axiom, ( ~empty(_u1) | finite(_u1) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t2_subset-1, axiom, ( ~element(_u3, _u2) | empty(_u2) | in(_u3, _u2) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t5_subset-1, axiom, ( ~in(_u6, _u5) | ~element(_u5, powerset(_u4)) | ~empty(_u4) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t6_boole-1, axiom, ( ~empty(_u7) | ( _u7 = empty_set) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t8_boole-1, axiom, ( ~empty(_u9) | ( _u9 = _u8) | ~empty(_u8) )).
% 0.52/0.73
% 0.52/0.73 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.52/0.73 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u11, _u11) )).
% 0.52/0.73
% 0.52/0.73 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.52/0.73 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u13, _u12) | ~in(_u12, _u13) )).
% 0.52/0.73
% 0.52/0.73 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(existence_m1_subset_1-1, axiom, ( element(skolem1(_u15), _u15) )).
% 0.52/0.73
% 0.52/0.73 % Formula: dt_k5_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(dt_k5_finsub_1-1, axiom, ( preboolean(finite_subsets(_u16)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: fc1_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(fc1_finsub_1-1, axiom, ( ~empty(powerset(_u18)) )).
% 0.52/0.73 cnf(fc1_finsub_1-2, axiom, ( cup_closed(powerset(_u19)) )).
% 0.52/0.73 cnf(fc1_finsub_1-3, axiom, ( diff_closed(powerset(_u20)) )).
% 0.52/0.73 cnf(fc1_finsub_1-4, axiom, ( preboolean(powerset(_u21)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: fc2_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(fc2_finsub_1-1, axiom, ( ~empty(finite_subsets(_u23)) )).
% 0.52/0.73 cnf(fc2_finsub_1-2, axiom, ( cup_closed(finite_subsets(_u24)) )).
% 0.52/0.73 cnf(fc2_finsub_1-3, axiom, ( diff_closed(finite_subsets(_u25)) )).
% 0.52/0.73 cnf(fc2_finsub_1-4, axiom, ( preboolean(finite_subsets(_u26)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: cc1_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(cc1_finsub_1-1, axiom, ( ~preboolean(_u27) | cup_closed(_u27) )).
% 0.52/0.73 cnf(cc1_finsub_1-2, axiom, ( ~preboolean(_u27) | diff_closed(_u27) )).
% 0.52/0.73
% 0.52/0.73 % Formula: cc3_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(cc3_finsub_1-1, axiom, ( ~element(_u28, finite_subsets(_u29)) | finite(_u28) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc1_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc1_finsub_1-1, axiom, ( ~empty(skolem2) )).
% 0.52/0.73 cnf(rc1_finsub_1-2, axiom, ( cup_closed(skolem2) )).
% 0.52/0.73 cnf(rc1_finsub_1-3, axiom, ( cap_closed(skolem2) )).
% 0.52/0.73 cnf(rc1_finsub_1-4, axiom, ( diff_closed(skolem2) )).
% 0.52/0.73 cnf(rc1_finsub_1-5, axiom, ( preboolean(skolem2) )).
% 0.52/0.73
% 0.52/0.73 % Formula: cc2_finset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(cc2_finset_1-1, axiom, ( ~finite(_u32) | ~element(_u31, powerset(_u32)) | finite(_u31) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc1_finset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc1_finset_1-1, axiom, ( ~empty(skolem3) )).
% 0.52/0.73 cnf(rc1_finset_1-2, axiom, ( finite(skolem3) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc2_finset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc2_finset_1-1, axiom, ( element(skolem4(_u35), powerset(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-2, axiom, ( empty(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-3, axiom, ( relation(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-4, axiom, ( function(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-5, axiom, ( one_to_one(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-6, axiom, ( epsilon_transitive(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-7, axiom, ( epsilon_connected(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-8, axiom, ( ordinal(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-9, axiom, ( natural(skolem4(_u35)) )).
% 0.52/0.73 cnf(rc2_finset_1-10, axiom, ( finite(skolem4(_u35)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc3_finset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc3_finset_1-1, axiom, ( empty(_u37) | element(skolem5(_u37), powerset(_u37)) )).
% 0.52/0.73 cnf(rc3_finset_1-2, axiom, ( empty(_u37) | ~empty(skolem5(_u37)) )).
% 0.52/0.73 cnf(rc3_finset_1-3, axiom, ( empty(_u37) | finite(skolem5(_u37)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc4_finset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc4_finset_1-1, axiom, ( empty(_u39) | element(skolem6(_u39), powerset(_u39)) )).
% 0.52/0.73 cnf(rc4_finset_1-2, axiom, ( empty(_u39) | ~empty(skolem6(_u39)) )).
% 0.52/0.73 cnf(rc4_finset_1-3, axiom, ( empty(_u39) | finite(skolem6(_u39)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u40)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc1_subset_1-1, axiom, ( empty(_u42) | element(skolem7(_u42), powerset(_u42)) )).
% 0.52/0.73 cnf(rc1_subset_1-2, axiom, ( empty(_u42) | ~empty(skolem7(_u42)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc2_subset_1-1, axiom, ( element(skolem8(_u44), powerset(_u44)) )).
% 0.52/0.73 cnf(rc2_subset_1-2, axiom, ( empty(skolem8(_u44)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc1_xboole_0-1, axiom, ( empty(skolem9) )).
% 0.52/0.73
% 0.52/0.73 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem10) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t1_subset-1, axiom, ( ~in(_u48, _u47) | element(_u48, _u47) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t3_subset-1, axiom, ( ~element(_u53, powerset(_u51)) | subset(_u53, _u51) )).
% 0.52/0.73 cnf(t3_subset-2, axiom, ( ~subset(_u54, _u52) | element(_u54, powerset(_u52)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t4_subset-1, axiom, ( ~in(_u57, _u56) | ~element(_u56, powerset(_u55)) | element(_u57, _u55) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.52/0.73 cnf(t7_boole-1, axiom, ( ~in(_u59, _u58) | ~empty(_u58) )).
% 0.52/0.73
% 0.52/0.73 % Formula: t32_finsub_1 ( conjecture ) converted to clauses:
% 0.52/0.73 cnf(t32_finsub_1-1, negated_conjecture, ( element(skolem12, finite_subsets(skolem11)) )).
% 0.52/0.73 cnf(t32_finsub_1-2, negated_conjecture, ( ~element(skolem12, powerset(skolem11)) )).
% 0.52/0.73
% 0.52/0.73 % Formula: d5_finsub_1 ( axiom ) converted to clauses:
% 0.52/0.73 cnf(d5_finsub_1-1, axiom, ( ~preboolean(_u64) | ( _u64 != finite_subsets(_u65)) | ~in(_u66, _u64) | subset(_u66, _u65) )).
% 0.52/0.73 cnf(d5_finsub_1-2, axiom, ( ~preboolean(_u64) | ( _u64 != finite_subsets(_u65)) | ~in(_u66, _u64) | finite(_u66) )).
% 0.52/0.73 cnf(d5_finsub_1-3, axiom, ( ~preboolean(_u64) | ( _u64 != finite_subsets(_u65)) | ~subset(_u67, _u65) | ~finite(_u67) | in(_u67, _u64) )).
% 0.52/0.73 cnf(d5_finsub_1-4, axiom, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | in(skolem13(_u65, _u64), _u64) | subset(skolem14(_u65, _u64), _u65) )).
% 0.52/0.73 cnf(d5_finsub_1-5, axiom, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | in(skolem13(_u65, _u64), _u64) | finite(skolem14(_u65, _u64)) )).
% 0.52/0.73 cnf(d5_finsub_1-6, axiom, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | in(skolem13(_u65, _u64), _u64) | ~in(skolem14(_u65, _u64), _u64) )).
% 0.52/0.73 cnf(d5_finsub_1-7, axiom, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | ~subset(skolem13(_u65, _u64), _u65) | ~finite(skolem13(_u65, _u64)) | subset(skolem14(_u65, _u64), _u65) )).
% 0.52/0.73 cnf(d5_finsub_1-8, axiom, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | ~subset(skolem13(_u65, _u64), _u65) | ~finite(skolem13(_u65, _u64)) | finite(skolem14(_u65, _u64)) )).
% 0.52/0.73 cnf(d5_finsub_1-9, axiom, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | ~subset(skolem13(_u65, _u64), _u65) | ~finite(skolem13(_u65, _u64)) | ~in(skolem14(_u65, _u64), _u64) )).
% 0.52/0.73
% 0.52/0.73 % Problem matrix:
% 0.52/0.73 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.52/0.73 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.52/0.73 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.52/0.73 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( finite_subsets(__eqx_0) = finite_subsets(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 0.52/0.73 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 0.52/0.73 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 0.52/0.73 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.52/0.73 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~cup_closed(__eqx_0) | cup_closed(__eqy_0) )).
% 0.52/0.73 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~diff_closed(__eqx_0) | diff_closed(__eqy_0) )).
% 0.52/0.73 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~preboolean(__eqx_0) | preboolean(__eqy_0) )).
% 0.52/0.73 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~finite(__eqx_0) | finite(__eqy_0) )).
% 0.52/0.73 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.52/0.73 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.52/0.73 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.52/0.73 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~cap_closed(__eqx_0) | cap_closed(__eqy_0) )).
% 0.52/0.73 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.52/0.73 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.52/0.73 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 0.52/0.73 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~epsilon_transitive(__eqx_0) | epsilon_transitive(__eqy_0) )).
% 0.52/0.73 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~epsilon_connected(__eqx_0) | epsilon_connected(__eqy_0) )).
% 0.52/0.73 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~ordinal(__eqx_0) | ordinal(__eqy_0) )).
% 0.52/0.73 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~natural(__eqx_0) | natural(__eqy_0) )).
% 0.52/0.73 cnf(matrix-29, plain, ( empty(empty_set) )).
% 0.52/0.73 cnf(matrix-30, plain, ( ~cup_closed(_u0) | ~diff_closed(_u0) | preboolean(_u0) )).
% 0.52/0.73 cnf(matrix-31, plain, ( ~empty(_u1) | finite(_u1) )).
% 0.52/0.73 cnf(matrix-32, plain, ( ~element(_u3, _u2) | empty(_u2) | in(_u3, _u2) )).
% 0.52/0.73 cnf(matrix-33, plain, ( ~in(_u6, _u5) | ~element(_u5, powerset(_u4)) | ~empty(_u4) )).
% 0.52/0.73 cnf(matrix-34, plain, ( ~empty(_u7) | ( _u7 = empty_set) )).
% 0.52/0.73 cnf(matrix-35, plain, ( ~empty(_u9) | ( _u9 = _u8) | ~empty(_u8) )).
% 0.52/0.73 cnf(matrix-36, plain, ( subset(_u11, _u11) )).
% 0.52/0.73 cnf(matrix-37, plain, ( ~in(_u13, _u12) | ~in(_u12, _u13) )).
% 0.52/0.73 cnf(matrix-38, plain, ( element(skolem1(_u15), _u15) )).
% 0.52/0.73 cnf(matrix-39, plain, ( preboolean(finite_subsets(_u16)) )).
% 0.52/0.73 cnf(matrix-40, plain, ( ~empty(powerset(_u18)) )).
% 0.52/0.73 cnf(matrix-41, plain, ( cup_closed(powerset(_u19)) )).
% 0.52/0.73 cnf(matrix-42, plain, ( diff_closed(powerset(_u20)) )).
% 0.52/0.73 cnf(matrix-43, plain, ( preboolean(powerset(_u21)) )).
% 0.52/0.73 cnf(matrix-44, plain, ( ~empty(finite_subsets(_u23)) )).
% 0.52/0.73 cnf(matrix-45, plain, ( cup_closed(finite_subsets(_u24)) )).
% 0.52/0.73 cnf(matrix-46, plain, ( diff_closed(finite_subsets(_u25)) )).
% 0.52/0.73 cnf(matrix-47, plain, ( preboolean(finite_subsets(_u26)) )).
% 0.52/0.73 cnf(matrix-48, plain, ( ~preboolean(_u27) | cup_closed(_u27) )).
% 0.52/0.73 cnf(matrix-49, plain, ( ~preboolean(_u27) | diff_closed(_u27) )).
% 0.52/0.73 cnf(matrix-50, plain, ( ~element(_u28, finite_subsets(_u29)) | finite(_u28) )).
% 0.52/0.73 cnf(matrix-51, plain, ( ~empty(skolem2) )).
% 0.52/0.73 cnf(matrix-52, plain, ( cup_closed(skolem2) )).
% 0.52/0.73 cnf(matrix-53, plain, ( cap_closed(skolem2) )).
% 0.52/0.73 cnf(matrix-54, plain, ( diff_closed(skolem2) )).
% 0.52/0.73 cnf(matrix-55, plain, ( preboolean(skolem2) )).
% 0.52/0.73 cnf(matrix-56, plain, ( ~finite(_u32) | ~element(_u31, powerset(_u32)) | finite(_u31) )).
% 0.52/0.73 cnf(matrix-57, plain, ( ~empty(skolem3) )).
% 0.52/0.73 cnf(matrix-58, plain, ( finite(skolem3) )).
% 0.52/0.73 cnf(matrix-59, plain, ( element(skolem4(_u35), powerset(_u35)) )).
% 0.52/0.73 cnf(matrix-60, plain, ( empty(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-61, plain, ( relation(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-62, plain, ( function(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-63, plain, ( one_to_one(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-64, plain, ( epsilon_transitive(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-65, plain, ( epsilon_connected(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-66, plain, ( ordinal(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-67, plain, ( natural(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-68, plain, ( finite(skolem4(_u35)) )).
% 0.52/0.73 cnf(matrix-69, plain, ( empty(_u37) | element(skolem5(_u37), powerset(_u37)) )).
% 0.52/0.73 cnf(matrix-70, plain, ( empty(_u37) | ~empty(skolem5(_u37)) )).
% 0.52/0.73 cnf(matrix-71, plain, ( empty(_u37) | finite(skolem5(_u37)) )).
% 0.52/0.73 cnf(matrix-72, plain, ( empty(_u39) | element(skolem6(_u39), powerset(_u39)) )).
% 0.52/0.73 cnf(matrix-73, plain, ( empty(_u39) | ~empty(skolem6(_u39)) )).
% 0.52/0.73 cnf(matrix-74, plain, ( empty(_u39) | finite(skolem6(_u39)) )).
% 0.52/0.73 cnf(matrix-75, plain, ( ~empty(powerset(_u40)) )).
% 0.52/0.73 cnf(matrix-76, plain, ( empty(_u42) | element(skolem7(_u42), powerset(_u42)) )).
% 0.52/0.73 cnf(matrix-77, plain, ( empty(_u42) | ~empty(skolem7(_u42)) )).
% 0.52/0.73 cnf(matrix-78, plain, ( element(skolem8(_u44), powerset(_u44)) )).
% 0.52/0.73 cnf(matrix-79, plain, ( empty(skolem8(_u44)) )).
% 0.52/0.73 cnf(matrix-80, plain, ( empty(skolem9) )).
% 0.52/0.73 cnf(matrix-81, plain, ( ~empty(skolem10) )).
% 0.52/0.73 cnf(matrix-82, plain, ( ~in(_u48, _u47) | element(_u48, _u47) )).
% 0.52/0.73 cnf(matrix-83, plain, ( ~element(_u53, powerset(_u51)) | subset(_u53, _u51) )).
% 0.52/0.73 cnf(matrix-84, plain, ( ~subset(_u54, _u52) | element(_u54, powerset(_u52)) )).
% 0.52/0.73 cnf(matrix-85, plain, ( ~in(_u57, _u56) | ~element(_u56, powerset(_u55)) | element(_u57, _u55) )).
% 0.52/0.73 cnf(matrix-86, plain, ( ~in(_u59, _u58) | ~empty(_u58) )).
% 0.52/0.73 cnf(matrix-87, plain, ( element(skolem12, finite_subsets(skolem11)) )).
% 0.52/0.73 cnf(matrix-88, plain, ( ~element(skolem12, powerset(skolem11)) )).
% 0.52/0.73 cnf(matrix-89, plain, ( ~preboolean(_u64) | ( _u64 != finite_subsets(_u65)) | ~in(_u66, _u64) | subset(_u66, _u65) )).
% 0.52/0.73 cnf(matrix-90, plain, ( ~preboolean(_u64) | ( _u64 != finite_subsets(_u65)) | ~in(_u66, _u64) | finite(_u66) )).
% 0.52/0.73 cnf(matrix-91, plain, ( ~preboolean(_u64) | ( _u64 != finite_subsets(_u65)) | ~subset(_u67, _u65) | ~finite(_u67) | in(_u67, _u64) )).
% 0.52/0.73 cnf(matrix-92, plain, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | in(skolem13(_u65, _u64), _u64) | subset(skolem14(_u65, _u64), _u65) )).
% 0.52/0.73 cnf(matrix-93, plain, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | in(skolem13(_u65, _u64), _u64) | finite(skolem14(_u65, _u64)) )).
% 0.52/0.73 cnf(matrix-94, plain, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | in(skolem13(_u65, _u64), _u64) | ~in(skolem14(_u65, _u64), _u64) )).
% 0.52/0.73 cnf(matrix-95, plain, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | ~subset(skolem13(_u65, _u64), _u65) | ~finite(skolem13(_u65, _u64)) | subset(skolem14(_u65, _u64), _u65) )).
% 0.52/0.73 cnf(matrix-96, plain, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | ~subset(skolem13(_u65, _u64), _u65) | ~finite(skolem13(_u65, _u64)) | finite(skolem14(_u65, _u64)) )).
% 0.52/0.73 cnf(matrix-97, plain, ( ~preboolean(_u64) | ( _u64 = finite_subsets(_u65)) | ~subset(skolem13(_u65, _u64), _u65) | ~finite(skolem13(_u65, _u64)) | ~in(skolem14(_u65, _u64), _u64) )).
% 0.52/0.73
% 0.52/0.73 % Proof stack:
% 0.52/0.73 cnf(proof-stack, plain,
% 0.52/0.73 proof_stack(
% 0.52/0.73 start(44),
% 0.52/0.73 left_branch(0, 32, 1, 2),
% 0.52/0.73 left_branch(0, 87, 0, 3),
% 0.52/0.73 right_branch(3),
% 0.52/0.73 left_branch(0, 89, 2, 4),
% 0.52/0.73 left_branch(0, 47, 0, 5),
% 0.52/0.73 right_branch(5),
% 0.52/0.73 left_branch(0, 84, 0, 6),
% 0.52/0.73 left_branch(0, 88, 0, 7),
% 0.52/0.73 right_branch(7),
% 0.52/0.73 right_branch(6),
% 0.52/0.73 left_branch(0, 4, 1, 7),
% 0.52/0.73 left_branch(0, 0, 0, 8),
% 0.52/0.73 right_branch(8),
% 0.52/0.73 right_branch(7),
% 0.52/0.73 right_branch(4),
% 0.52/0.73 right_branch(2)
% 0.52/0.73 )).
% 0.52/0.73 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------