TSTP Solution File: SEU118+1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU118+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 : n028.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 0.79s 0.96s
% Output : Proof 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n028.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 10:06:33 EST 2024
% 0.12/0.33 % CPUTime :
% 0.79/0.96 % SZS status Theorem for theBenchmark
% 0.79/0.96 % SZS output start Proof for theBenchmark
% 0.79/0.96
% 0.79/0.96 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.79/0.96 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.79/0.96
% 0.79/0.96 % Formula: cc1_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(cc1_finset_1-1, axiom, ( ~empty(_u2) | finite(_u2) )).
% 0.79/0.96
% 0.79/0.96 % Formula: cc1_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(cc1_finsub_1-1, axiom, ( ~preboolean(_u3) | cup_closed(_u3) )).
% 0.79/0.96 cnf(cc1_finsub_1-2, axiom, ( ~preboolean(_u3) | diff_closed(_u3) )).
% 0.79/0.96
% 0.79/0.96 % Formula: cc2_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(cc2_finset_1-1, axiom, ( ~finite(_u5) | ~element(_u4, powerset(_u5)) | finite(_u4) )).
% 0.79/0.96
% 0.79/0.96 % Formula: cc2_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(cc2_finsub_1-1, axiom, ( ~cup_closed(_u6) | ~diff_closed(_u6) | preboolean(_u6) )).
% 0.79/0.96
% 0.79/0.96 % Formula: cc3_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(cc3_finsub_1-1, axiom, ( ~element(_u7, finite_subsets(_u8)) | finite(_u7) )).
% 0.79/0.96
% 0.79/0.96 % Formula: d5_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(d5_finsub_1-1, axiom, ( ~preboolean(_u11) | ( _u11 != finite_subsets(_u12)) | ~in(_u13, _u11) | subset(_u13, _u12) )).
% 0.79/0.96 cnf(d5_finsub_1-2, axiom, ( ~preboolean(_u11) | ( _u11 != finite_subsets(_u12)) | ~in(_u13, _u11) | finite(_u13) )).
% 0.79/0.96 cnf(d5_finsub_1-3, axiom, ( ~preboolean(_u11) | ( _u11 != finite_subsets(_u12)) | ~subset(_u14, _u12) | ~finite(_u14) | in(_u14, _u11) )).
% 0.79/0.96 cnf(d5_finsub_1-4, axiom, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | in(skolem1(_u12, _u11), _u11) | subset(skolem2(_u12, _u11), _u12) )).
% 0.79/0.96 cnf(d5_finsub_1-5, axiom, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | in(skolem1(_u12, _u11), _u11) | finite(skolem2(_u12, _u11)) )).
% 0.79/0.96 cnf(d5_finsub_1-6, axiom, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | in(skolem1(_u12, _u11), _u11) | ~in(skolem2(_u12, _u11), _u11) )).
% 0.79/0.96 cnf(d5_finsub_1-7, axiom, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | ~subset(skolem1(_u12, _u11), _u12) | ~finite(skolem1(_u12, _u11)) | subset(skolem2(_u12, _u11), _u12) )).
% 0.79/0.96 cnf(d5_finsub_1-8, axiom, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | ~subset(skolem1(_u12, _u11), _u12) | ~finite(skolem1(_u12, _u11)) | finite(skolem2(_u12, _u11)) )).
% 0.79/0.96 cnf(d5_finsub_1-9, axiom, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | ~subset(skolem1(_u12, _u11), _u12) | ~finite(skolem1(_u12, _u11)) | ~in(skolem2(_u12, _u11), _u11) )).
% 0.79/0.96
% 0.79/0.96 % Formula: dt_k5_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(dt_k5_finsub_1-1, axiom, ( preboolean(finite_subsets(_u17)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(existence_m1_subset_1-1, axiom, ( element(skolem3(_u19), _u19) )).
% 0.79/0.96
% 0.79/0.96 % Formula: fc1_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(fc1_finsub_1-1, axiom, ( ~empty(powerset(_u21)) )).
% 0.79/0.96 cnf(fc1_finsub_1-2, axiom, ( cup_closed(powerset(_u22)) )).
% 0.79/0.96 cnf(fc1_finsub_1-3, axiom, ( diff_closed(powerset(_u23)) )).
% 0.79/0.96 cnf(fc1_finsub_1-4, axiom, ( preboolean(powerset(_u24)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u25)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.79/0.96
% 0.79/0.96 % Formula: fc2_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(fc2_finsub_1-1, axiom, ( ~empty(finite_subsets(_u27)) )).
% 0.79/0.96 cnf(fc2_finsub_1-2, axiom, ( cup_closed(finite_subsets(_u28)) )).
% 0.79/0.96 cnf(fc2_finsub_1-3, axiom, ( diff_closed(finite_subsets(_u29)) )).
% 0.79/0.96 cnf(fc2_finsub_1-4, axiom, ( preboolean(finite_subsets(_u30)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc1_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc1_finset_1-1, axiom, ( ~empty(skolem4) )).
% 0.79/0.96 cnf(rc1_finset_1-2, axiom, ( finite(skolem4) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc1_finsub_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc1_finsub_1-1, axiom, ( ~empty(skolem5) )).
% 0.79/0.96 cnf(rc1_finsub_1-2, axiom, ( cup_closed(skolem5) )).
% 0.79/0.96 cnf(rc1_finsub_1-3, axiom, ( cap_closed(skolem5) )).
% 0.79/0.96 cnf(rc1_finsub_1-4, axiom, ( diff_closed(skolem5) )).
% 0.79/0.96 cnf(rc1_finsub_1-5, axiom, ( preboolean(skolem5) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc1_subset_1-1, axiom, ( empty(_u34) | element(skolem6(_u34), powerset(_u34)) )).
% 0.79/0.96 cnf(rc1_subset_1-2, axiom, ( empty(_u34) | ~empty(skolem6(_u34)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc1_xboole_0-1, axiom, ( empty(skolem7) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc2_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc2_finset_1-1, axiom, ( element(skolem8(_u37), powerset(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-2, axiom, ( empty(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-3, axiom, ( relation(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-4, axiom, ( function(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-5, axiom, ( one_to_one(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-6, axiom, ( epsilon_transitive(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-7, axiom, ( epsilon_connected(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-8, axiom, ( ordinal(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-9, axiom, ( natural(skolem8(_u37)) )).
% 0.79/0.96 cnf(rc2_finset_1-10, axiom, ( finite(skolem8(_u37)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc2_subset_1-1, axiom, ( element(skolem9(_u39), powerset(_u39)) )).
% 0.79/0.96 cnf(rc2_subset_1-2, axiom, ( empty(skolem9(_u39)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem10) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc3_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc3_finset_1-1, axiom, ( empty(_u42) | element(skolem11(_u42), powerset(_u42)) )).
% 0.79/0.96 cnf(rc3_finset_1-2, axiom, ( empty(_u42) | ~empty(skolem11(_u42)) )).
% 0.79/0.96 cnf(rc3_finset_1-3, axiom, ( empty(_u42) | finite(skolem11(_u42)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: rc4_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(rc4_finset_1-1, axiom, ( empty(_u44) | element(skolem12(_u44), powerset(_u44)) )).
% 0.79/0.96 cnf(rc4_finset_1-2, axiom, ( empty(_u44) | ~empty(skolem12(_u44)) )).
% 0.79/0.96 cnf(rc4_finset_1-3, axiom, ( empty(_u44) | finite(skolem12(_u44)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.79/0.96 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u46, _u46) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t13_finset_1 ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t13_finset_1-1, axiom, ( finite(_u48) | ~subset(_u48, _u47) | ~finite(_u47) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t1_subset-1, axiom, ( ~in(_u50, _u49) | element(_u50, _u49) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t2_subset-1, axiom, ( ~element(_u52, _u51) | empty(_u51) | in(_u52, _u51) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t34_finsub_1 ( conjecture ) converted to clauses:
% 0.79/0.96 cnf(t34_finsub_1-1, negated_conjecture, ( element(skolem14, powerset(skolem13)) )).
% 0.79/0.96 cnf(t34_finsub_1-2, negated_conjecture, ( finite(skolem13) )).
% 0.79/0.96 cnf(t34_finsub_1-3, negated_conjecture, ( ~element(skolem14, finite_subsets(skolem13)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t3_subset-1, axiom, ( ~element(_u59, powerset(_u57)) | subset(_u59, _u57) )).
% 0.79/0.96 cnf(t3_subset-2, axiom, ( ~subset(_u60, _u58) | element(_u60, powerset(_u58)) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t4_subset-1, axiom, ( ~in(_u63, _u62) | ~element(_u62, powerset(_u61)) | element(_u63, _u61) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t5_subset-1, axiom, ( ~in(_u66, _u65) | ~element(_u65, powerset(_u64)) | ~empty(_u64) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t6_boole-1, axiom, ( ~empty(_u67) | ( _u67 = empty_set) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t7_boole-1, axiom, ( ~in(_u69, _u68) | ~empty(_u68) )).
% 0.79/0.96
% 0.79/0.96 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.79/0.96 cnf(t8_boole-1, axiom, ( ~empty(_u71) | ( _u71 = _u70) | ~empty(_u70) )).
% 0.79/0.96
% 0.79/0.96 % Problem matrix:
% 0.79/0.96 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.79/0.96 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.79/0.96 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.79/0.96 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( finite_subsets(__eqx_0) = finite_subsets(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.79/0.96 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.79/0.96 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 0.79/0.96 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.79/0.96 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.79/0.96 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~finite(__eqx_0) | finite(__eqy_0) )).
% 0.79/0.96 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~preboolean(__eqx_0) | preboolean(__eqy_0) )).
% 0.79/0.96 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~cup_closed(__eqx_0) | cup_closed(__eqy_0) )).
% 0.79/0.96 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~diff_closed(__eqx_0) | diff_closed(__eqy_0) )).
% 0.79/0.96 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.79/0.96 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.79/0.96 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~cap_closed(__eqx_0) | cap_closed(__eqy_0) )).
% 0.79/0.96 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.79/0.96 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.79/0.96 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 0.79/0.96 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~epsilon_transitive(__eqx_0) | epsilon_transitive(__eqy_0) )).
% 0.79/0.96 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~epsilon_connected(__eqx_0) | epsilon_connected(__eqy_0) )).
% 0.79/0.96 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~ordinal(__eqx_0) | ordinal(__eqy_0) )).
% 0.79/0.96 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~natural(__eqx_0) | natural(__eqy_0) )).
% 0.79/0.96 cnf(matrix-29, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.79/0.96 cnf(matrix-30, plain, ( ~empty(_u2) | finite(_u2) )).
% 0.79/0.96 cnf(matrix-31, plain, ( ~preboolean(_u3) | cup_closed(_u3) )).
% 0.79/0.96 cnf(matrix-32, plain, ( ~preboolean(_u3) | diff_closed(_u3) )).
% 0.79/0.96 cnf(matrix-33, plain, ( ~finite(_u5) | ~element(_u4, powerset(_u5)) | finite(_u4) )).
% 0.79/0.96 cnf(matrix-34, plain, ( ~cup_closed(_u6) | ~diff_closed(_u6) | preboolean(_u6) )).
% 0.79/0.96 cnf(matrix-35, plain, ( ~element(_u7, finite_subsets(_u8)) | finite(_u7) )).
% 0.79/0.96 cnf(matrix-36, plain, ( ~preboolean(_u11) | ( _u11 != finite_subsets(_u12)) | ~in(_u13, _u11) | subset(_u13, _u12) )).
% 0.79/0.96 cnf(matrix-37, plain, ( ~preboolean(_u11) | ( _u11 != finite_subsets(_u12)) | ~in(_u13, _u11) | finite(_u13) )).
% 0.79/0.96 cnf(matrix-38, plain, ( ~preboolean(_u11) | ( _u11 != finite_subsets(_u12)) | ~subset(_u14, _u12) | ~finite(_u14) | in(_u14, _u11) )).
% 0.79/0.96 cnf(matrix-39, plain, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | in(skolem1(_u12, _u11), _u11) | subset(skolem2(_u12, _u11), _u12) )).
% 0.79/0.96 cnf(matrix-40, plain, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | in(skolem1(_u12, _u11), _u11) | finite(skolem2(_u12, _u11)) )).
% 0.79/0.96 cnf(matrix-41, plain, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | in(skolem1(_u12, _u11), _u11) | ~in(skolem2(_u12, _u11), _u11) )).
% 0.79/0.96 cnf(matrix-42, plain, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | ~subset(skolem1(_u12, _u11), _u12) | ~finite(skolem1(_u12, _u11)) | subset(skolem2(_u12, _u11), _u12) )).
% 0.79/0.96 cnf(matrix-43, plain, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | ~subset(skolem1(_u12, _u11), _u12) | ~finite(skolem1(_u12, _u11)) | finite(skolem2(_u12, _u11)) )).
% 0.79/0.96 cnf(matrix-44, plain, ( ~preboolean(_u11) | ( _u11 = finite_subsets(_u12)) | ~subset(skolem1(_u12, _u11), _u12) | ~finite(skolem1(_u12, _u11)) | ~in(skolem2(_u12, _u11), _u11) )).
% 0.79/0.96 cnf(matrix-45, plain, ( preboolean(finite_subsets(_u17)) )).
% 0.79/0.96 cnf(matrix-46, plain, ( element(skolem3(_u19), _u19) )).
% 0.79/0.96 cnf(matrix-47, plain, ( ~empty(powerset(_u21)) )).
% 0.79/0.96 cnf(matrix-48, plain, ( cup_closed(powerset(_u22)) )).
% 0.79/0.96 cnf(matrix-49, plain, ( diff_closed(powerset(_u23)) )).
% 0.79/0.96 cnf(matrix-50, plain, ( preboolean(powerset(_u24)) )).
% 0.79/0.96 cnf(matrix-51, plain, ( ~empty(powerset(_u25)) )).
% 0.79/0.96 cnf(matrix-52, plain, ( empty(empty_set) )).
% 0.79/0.96 cnf(matrix-53, plain, ( ~empty(finite_subsets(_u27)) )).
% 0.79/0.96 cnf(matrix-54, plain, ( cup_closed(finite_subsets(_u28)) )).
% 0.79/0.96 cnf(matrix-55, plain, ( diff_closed(finite_subsets(_u29)) )).
% 0.79/0.96 cnf(matrix-56, plain, ( preboolean(finite_subsets(_u30)) )).
% 0.79/0.96 cnf(matrix-57, plain, ( ~empty(skolem4) )).
% 0.79/0.96 cnf(matrix-58, plain, ( finite(skolem4) )).
% 0.79/0.96 cnf(matrix-59, plain, ( ~empty(skolem5) )).
% 0.79/0.96 cnf(matrix-60, plain, ( cup_closed(skolem5) )).
% 0.79/0.96 cnf(matrix-61, plain, ( cap_closed(skolem5) )).
% 0.79/0.96 cnf(matrix-62, plain, ( diff_closed(skolem5) )).
% 0.79/0.96 cnf(matrix-63, plain, ( preboolean(skolem5) )).
% 0.79/0.96 cnf(matrix-64, plain, ( empty(_u34) | element(skolem6(_u34), powerset(_u34)) )).
% 0.79/0.96 cnf(matrix-65, plain, ( empty(_u34) | ~empty(skolem6(_u34)) )).
% 0.79/0.96 cnf(matrix-66, plain, ( empty(skolem7) )).
% 0.79/0.96 cnf(matrix-67, plain, ( element(skolem8(_u37), powerset(_u37)) )).
% 0.79/0.96 cnf(matrix-68, plain, ( empty(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-69, plain, ( relation(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-70, plain, ( function(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-71, plain, ( one_to_one(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-72, plain, ( epsilon_transitive(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-73, plain, ( epsilon_connected(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-74, plain, ( ordinal(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-75, plain, ( natural(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-76, plain, ( finite(skolem8(_u37)) )).
% 0.79/0.96 cnf(matrix-77, plain, ( element(skolem9(_u39), powerset(_u39)) )).
% 0.79/0.96 cnf(matrix-78, plain, ( empty(skolem9(_u39)) )).
% 0.79/0.96 cnf(matrix-79, plain, ( ~empty(skolem10) )).
% 0.79/0.96 cnf(matrix-80, plain, ( empty(_u42) | element(skolem11(_u42), powerset(_u42)) )).
% 0.79/0.96 cnf(matrix-81, plain, ( empty(_u42) | ~empty(skolem11(_u42)) )).
% 0.79/0.96 cnf(matrix-82, plain, ( empty(_u42) | finite(skolem11(_u42)) )).
% 0.79/0.96 cnf(matrix-83, plain, ( empty(_u44) | element(skolem12(_u44), powerset(_u44)) )).
% 0.79/0.96 cnf(matrix-84, plain, ( empty(_u44) | ~empty(skolem12(_u44)) )).
% 0.79/0.96 cnf(matrix-85, plain, ( empty(_u44) | finite(skolem12(_u44)) )).
% 0.79/0.96 cnf(matrix-86, plain, ( subset(_u46, _u46) )).
% 0.79/0.96 cnf(matrix-87, plain, ( finite(_u48) | ~subset(_u48, _u47) | ~finite(_u47) )).
% 0.79/0.96 cnf(matrix-88, plain, ( ~in(_u50, _u49) | element(_u50, _u49) )).
% 0.79/0.96 cnf(matrix-89, plain, ( ~element(_u52, _u51) | empty(_u51) | in(_u52, _u51) )).
% 0.79/0.96 cnf(matrix-90, plain, ( element(skolem14, powerset(skolem13)) )).
% 0.79/0.96 cnf(matrix-91, plain, ( finite(skolem13) )).
% 0.79/0.96 cnf(matrix-92, plain, ( ~element(skolem14, finite_subsets(skolem13)) )).
% 0.79/0.96 cnf(matrix-93, plain, ( ~element(_u59, powerset(_u57)) | subset(_u59, _u57) )).
% 0.79/0.96 cnf(matrix-94, plain, ( ~subset(_u60, _u58) | element(_u60, powerset(_u58)) )).
% 0.79/0.96 cnf(matrix-95, plain, ( ~in(_u63, _u62) | ~element(_u62, powerset(_u61)) | element(_u63, _u61) )).
% 0.79/0.96 cnf(matrix-96, plain, ( ~in(_u66, _u65) | ~element(_u65, powerset(_u64)) | ~empty(_u64) )).
% 0.79/0.96 cnf(matrix-97, plain, ( ~empty(_u67) | ( _u67 = empty_set) )).
% 0.79/0.96 cnf(matrix-98, plain, ( ~in(_u69, _u68) | ~empty(_u68) )).
% 0.79/0.96 cnf(matrix-99, plain, ( ~empty(_u71) | ( _u71 = _u70) | ~empty(_u70) )).
% 0.79/0.96
% 0.79/0.96 % Proof stack:
% 0.79/0.96 cnf(proof-stack, plain,
% 0.79/0.96 proof_stack(
% 0.79/0.96 start(92),
% 0.79/0.96 left_branch(0, 88, 1, 2),
% 0.79/0.96 left_branch(0, 38, 4, 3),
% 0.79/0.96 left_branch(0, 56, 0, 4),
% 0.79/0.96 right_branch(4),
% 0.79/0.96 left_branch(0, 33, 2, 5),
% 0.79/0.96 left_branch(0, 91, 0, 6),
% 0.79/0.96 right_branch(6),
% 0.79/0.96 left_branch(0, 90, 0, 7),
% 0.79/0.96 right_branch(7),
% 0.79/0.96 right_branch(5),
% 0.79/0.96 left_branch(0, 93, 1, 6),
% 0.79/0.96 left_branch(0, 90, 0, 7),
% 0.79/0.96 right_branch(7),
% 0.79/0.96 right_branch(6),
% 0.79/0.96 left_branch(0, 4, 1, 7),
% 0.79/0.96 left_branch(0, 0, 0, 8),
% 0.79/0.96 right_branch(8),
% 0.79/0.96 right_branch(7),
% 0.79/0.96 right_branch(3),
% 0.79/0.96 right_branch(2)
% 0.79/0.96 )).
% 0.79/0.96 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------