TSTP Solution File: SEU311+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU311+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 : 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 09:20:49 EST 2024
% Result : Theorem 49.84s 50.07s
% Output : Proof 49.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n017.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 : Sun Mar 3 10:41:43 EST 2024
% 0.13/0.34 % CPUTime :
% 49.84/50.07 % SZS status Theorem for theBenchmark
% 49.84/50.07 % SZS output start Proof for theBenchmark
% 49.84/50.07
% 49.84/50.07 % Formula: s3_subset_1__e2_37_1_1__pre_topc ( conjecture ) converted to clauses:
% 49.84/50.07 cnf(s3_subset_1__e2_37_1_1__pre_topc-1, negated_conjecture, ( topological_space(skolem1) )).
% 49.84/50.07 cnf(s3_subset_1__e2_37_1_1__pre_topc-2, negated_conjecture, ( top_str(skolem1) )).
% 49.84/50.07 cnf(s3_subset_1__e2_37_1_1__pre_topc-3, negated_conjecture, ( element(skolem2, powerset(powerset(the_carrier(skolem1)))) )).
% 49.84/50.07 cnf(s3_subset_1__e2_37_1_1__pre_topc-4, negated_conjecture, ( ~element(_u1, powerset(powerset(the_carrier(skolem1)))) | element(skolem3(_u1), powerset(the_carrier(skolem1))) )).
% 49.84/50.07 cnf(s3_subset_1__e2_37_1_1__pre_topc-5, negated_conjecture, ( ~element(_u1, powerset(powerset(the_carrier(skolem1)))) | in(skolem3(_u1), _u1) | in(set_difference(cast_as_carrier_subset(skolem1), skolem3(_u1)), skolem2) )).
% 49.84/50.07 cnf(s3_subset_1__e2_37_1_1__pre_topc-6, negated_conjecture, ( ~element(_u1, powerset(powerset(the_carrier(skolem1)))) | ~in(set_difference(cast_as_carrier_subset(skolem1), skolem3(_u1)), skolem2) | ~in(skolem3(_u1), _u1) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc1_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc1_membered-1, axiom, ( ~v5_membered(_u4) | v4_membered(_u4) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc2_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc2_membered-1, axiom, ( ~v4_membered(_u5) | v3_membered(_u5) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc3_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc3_membered-1, axiom, ( ~v3_membered(_u6) | v2_membered(_u6) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc4_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc4_membered-1, axiom, ( ~v2_membered(_u7) | v1_membered(_u7) )).
% 49.84/50.07
% 49.84/50.07 % Formula: rc1_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(rc1_membered-1, axiom, ( ~empty(skolem4) )).
% 49.84/50.07 cnf(rc1_membered-2, axiom, ( v1_membered(skolem4) )).
% 49.84/50.07 cnf(rc1_membered-3, axiom, ( v2_membered(skolem4) )).
% 49.84/50.07 cnf(rc1_membered-4, axiom, ( v3_membered(skolem4) )).
% 49.84/50.07 cnf(rc1_membered-5, axiom, ( v4_membered(skolem4) )).
% 49.84/50.07 cnf(rc1_membered-6, axiom, ( v5_membered(skolem4) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc10_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc10_membered-1, axiom, ( ~v1_membered(_u10) | ~element(_u9, _u10) | v1_xcmplx_0(_u9) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc11_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc11_membered-1, axiom, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xcmplx_0(_u11) )).
% 49.84/50.07 cnf(cc11_membered-2, axiom, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xreal_0(_u11) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc12_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc12_membered-1, axiom, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xcmplx_0(_u13) )).
% 49.84/50.07 cnf(cc12_membered-2, axiom, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xreal_0(_u13) )).
% 49.84/50.07 cnf(cc12_membered-3, axiom, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_rat_1(_u13) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc13_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc13_membered-1, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xcmplx_0(_u15) )).
% 49.84/50.07 cnf(cc13_membered-2, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xreal_0(_u15) )).
% 49.84/50.07 cnf(cc13_membered-3, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_int_1(_u15) )).
% 49.84/50.07 cnf(cc13_membered-4, axiom, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_rat_1(_u15) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc14_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc14_membered-1, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xcmplx_0(_u17) )).
% 49.84/50.07 cnf(cc14_membered-2, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | natural(_u17) )).
% 49.84/50.07 cnf(cc14_membered-3, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xreal_0(_u17) )).
% 49.84/50.07 cnf(cc14_membered-4, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_int_1(_u17) )).
% 49.84/50.07 cnf(cc14_membered-5, axiom, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_rat_1(_u17) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc16_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc16_membered-1, axiom, ( ~v1_membered(_u20) | ~element(_u19, powerset(_u20)) | v1_membered(_u19) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc17_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc17_membered-1, axiom, ( ~v2_membered(_u22) | ~element(_u21, powerset(_u22)) | v1_membered(_u21) )).
% 49.84/50.07 cnf(cc17_membered-2, axiom, ( ~v2_membered(_u22) | ~element(_u21, powerset(_u22)) | v2_membered(_u21) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc18_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc18_membered-1, axiom, ( ~v3_membered(_u24) | ~element(_u23, powerset(_u24)) | v1_membered(_u23) )).
% 49.84/50.07 cnf(cc18_membered-2, axiom, ( ~v3_membered(_u24) | ~element(_u23, powerset(_u24)) | v2_membered(_u23) )).
% 49.84/50.07 cnf(cc18_membered-3, axiom, ( ~v3_membered(_u24) | ~element(_u23, powerset(_u24)) | v3_membered(_u23) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc19_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc19_membered-1, axiom, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v1_membered(_u25) )).
% 49.84/50.07 cnf(cc19_membered-2, axiom, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v2_membered(_u25) )).
% 49.84/50.07 cnf(cc19_membered-3, axiom, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v3_membered(_u25) )).
% 49.84/50.07 cnf(cc19_membered-4, axiom, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v4_membered(_u25) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc20_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc20_membered-1, axiom, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v1_membered(_u27) )).
% 49.84/50.07 cnf(cc20_membered-2, axiom, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v2_membered(_u27) )).
% 49.84/50.07 cnf(cc20_membered-3, axiom, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v3_membered(_u27) )).
% 49.84/50.07 cnf(cc20_membered-4, axiom, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v4_membered(_u27) )).
% 49.84/50.07 cnf(cc20_membered-5, axiom, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v5_membered(_u27) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc37_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc37_membered-1, axiom, ( ~v1_membered(_u30) | v1_membered(set_difference(_u30, _u29)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc38_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc38_membered-1, axiom, ( ~v2_membered(_u32) | v1_membered(set_difference(_u32, _u33)) )).
% 49.84/50.07 cnf(fc38_membered-2, axiom, ( ~v2_membered(_u32) | v2_membered(set_difference(_u32, _u34)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc39_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc39_membered-1, axiom, ( ~v3_membered(_u36) | v1_membered(set_difference(_u36, _u37)) )).
% 49.84/50.07 cnf(fc39_membered-2, axiom, ( ~v3_membered(_u36) | v2_membered(set_difference(_u36, _u38)) )).
% 49.84/50.07 cnf(fc39_membered-3, axiom, ( ~v3_membered(_u36) | v3_membered(set_difference(_u36, _u39)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc40_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc40_membered-1, axiom, ( ~v4_membered(_u41) | v1_membered(set_difference(_u41, _u42)) )).
% 49.84/50.07 cnf(fc40_membered-2, axiom, ( ~v4_membered(_u41) | v2_membered(set_difference(_u41, _u43)) )).
% 49.84/50.07 cnf(fc40_membered-3, axiom, ( ~v4_membered(_u41) | v3_membered(set_difference(_u41, _u44)) )).
% 49.84/50.07 cnf(fc40_membered-4, axiom, ( ~v4_membered(_u41) | v4_membered(set_difference(_u41, _u45)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc41_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc41_membered-1, axiom, ( ~v5_membered(_u47) | v1_membered(set_difference(_u47, _u48)) )).
% 49.84/50.07 cnf(fc41_membered-2, axiom, ( ~v5_membered(_u47) | v2_membered(set_difference(_u47, _u49)) )).
% 49.84/50.07 cnf(fc41_membered-3, axiom, ( ~v5_membered(_u47) | v3_membered(set_difference(_u47, _u50)) )).
% 49.84/50.07 cnf(fc41_membered-4, axiom, ( ~v5_membered(_u47) | v4_membered(set_difference(_u47, _u51)) )).
% 49.84/50.07 cnf(fc41_membered-5, axiom, ( ~v5_membered(_u47) | v5_membered(set_difference(_u47, _u52)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 49.84/50.07
% 49.84/50.07 % Formula: rc6_pre_topc ( axiom ) converted to clauses:
% 49.84/50.07 cnf(rc6_pre_topc-1, axiom, ( ~topological_space(_u54) | ~top_str(_u54) | element(skolem5(_u54), powerset(the_carrier(_u54))) )).
% 49.84/50.07 cnf(rc6_pre_topc-2, axiom, ( ~topological_space(_u54) | ~top_str(_u54) | closed_subset(skolem5(_u54), _u54) )).
% 49.84/50.07
% 49.84/50.07 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(rc1_subset_1-1, axiom, ( empty(_u56) | element(skolem6(_u56), powerset(_u56)) )).
% 49.84/50.07 cnf(rc1_subset_1-2, axiom, ( empty(_u56) | ~empty(skolem6(_u56)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(rc2_subset_1-1, axiom, ( element(skolem7(_u58), powerset(_u58)) )).
% 49.84/50.07 cnf(rc2_subset_1-2, axiom, ( empty(skolem7(_u58)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: cc15_membered ( axiom ) converted to clauses:
% 49.84/50.07 cnf(cc15_membered-1, axiom, ( ~empty(_u59) | v1_membered(_u59) )).
% 49.84/50.07 cnf(cc15_membered-2, axiom, ( ~empty(_u59) | v2_membered(_u59) )).
% 49.84/50.07 cnf(cc15_membered-3, axiom, ( ~empty(_u59) | v3_membered(_u59) )).
% 49.84/50.07 cnf(cc15_membered-4, axiom, ( ~empty(_u59) | v4_membered(_u59) )).
% 49.84/50.07 cnf(cc15_membered-5, axiom, ( ~empty(_u59) | v5_membered(_u59) )).
% 49.84/50.07
% 49.84/50.07 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 49.84/50.07 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u61, _u60) | ~in(_u60, _u61) )).
% 49.84/50.07
% 49.84/50.07 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 49.84/50.07
% 49.84/50.07 % Formula: dt_k2_pre_topc ( axiom ) converted to clauses:
% 49.84/50.07 cnf(dt_k2_pre_topc-1, axiom, ( ~one_sorted_str(_u62) | element(cast_as_carrier_subset(_u62), powerset(the_carrier(_u62))) )).
% 49.84/50.07
% 49.84/50.07 % Formula: dt_k4_xboole_0 ( axiom ) converted to clauses:
% 49.84/50.07
% 49.84/50.07 % Formula: dt_l1_pre_topc ( axiom ) converted to clauses:
% 49.84/50.07 cnf(dt_l1_pre_topc-1, axiom, ( ~top_str(_u63) | one_sorted_str(_u63) )).
% 49.84/50.07
% 49.84/50.07 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07
% 49.84/50.07 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 49.84/50.07
% 49.84/50.07 % Formula: fc5_pre_topc ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc5_pre_topc-1, axiom, ( ~topological_space(_u64) | ~top_str(_u64) | closed_subset(cast_as_carrier_subset(_u64), _u64) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u65)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: s1_xboole_0__e2_37_1_1__pre_topc__1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(s1_xboole_0__e2_37_1_1__pre_topc__1-1, axiom, ( ~topological_space(_u69) | ~top_str(_u69) | ~element(_u68, powerset(powerset(the_carrier(_u69)))) | ~in(_u70, skolem8(_u69, _u68)) | in(_u70, powerset(the_carrier(_u69))) )).
% 49.84/50.07 cnf(s1_xboole_0__e2_37_1_1__pre_topc__1-2, axiom, ( ~topological_space(_u69) | ~top_str(_u69) | ~element(_u68, powerset(powerset(the_carrier(_u69)))) | ~in(_u70, skolem8(_u69, _u68)) | in(set_difference(cast_as_carrier_subset(_u69), _u70), _u68) )).
% 49.84/50.07 cnf(s1_xboole_0__e2_37_1_1__pre_topc__1-3, axiom, ( ~topological_space(_u69) | ~top_str(_u69) | ~element(_u68, powerset(powerset(the_carrier(_u69)))) | ~in(_u71, powerset(the_carrier(_u69))) | ~in(set_difference(cast_as_carrier_subset(_u69), _u71), _u68) | in(_u71, skolem8(_u69, _u68)) )).
% 49.84/50.07
% 49.84/50.07 % Formula: d2_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(d2_subset_1-1, axiom, ( empty(_u80) | ~element(_u76, _u80) | in(_u76, _u80) )).
% 49.84/50.07 cnf(d2_subset_1-2, axiom, ( empty(_u80) | ~in(_u77, _u80) | element(_u77, _u80) )).
% 49.84/50.07 cnf(d2_subset_1-3, axiom, ( ~empty(_u81) | ~element(_u78, _u81) | empty(_u78) )).
% 49.84/50.07 cnf(d2_subset_1-4, axiom, ( ~empty(_u81) | ~empty(_u79) | element(_u79, _u81) )).
% 49.84/50.07
% 49.84/50.07 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 49.84/50.07
% 49.84/50.07 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(existence_m1_subset_1-1, axiom, ( element(skolem9(_u83), _u83) )).
% 49.84/50.07
% 49.84/50.07 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 49.84/50.07
% 49.84/50.07 % Formula: l71_subset_1 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(l71_subset_1-1, axiom, ( element(_u86, powerset(_u85)) | in(skolem10(_u86, _u85), _u86) )).
% 49.84/50.07 cnf(l71_subset_1-2, axiom, ( element(_u86, powerset(_u85)) | ~in(skolem10(_u86, _u85), _u85) )).
% 49.84/50.07
% 49.84/50.07 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(rc1_xboole_0-1, axiom, ( empty(skolem11) )).
% 49.84/50.07
% 49.84/50.07 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 49.84/50.07 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem12) )).
% 49.84/50.07
% 49.84/50.07 % Formula: t6_boole ( axiom ) converted to clauses:
% 49.84/50.07 cnf(t6_boole-1, axiom, ( ~empty(_u89) | ( _u89 = empty_set) )).
% 49.84/50.07
% 49.84/50.07 % Formula: t7_boole ( axiom ) converted to clauses:
% 49.84/50.07 cnf(t7_boole-1, axiom, ( ~in(_u91, _u90) | ~empty(_u90) )).
% 49.84/50.07
% 49.84/50.07 % Formula: t8_boole ( axiom ) converted to clauses:
% 49.84/50.07 cnf(t8_boole-1, axiom, ( ~empty(_u93) | ( _u93 = _u92) | ~empty(_u92) )).
% 49.84/50.07
% 49.84/50.07 % Problem matrix:
% 49.84/50.07 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 49.84/50.07 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 49.84/50.07 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 49.84/50.07 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( cast_as_carrier_subset(__eqx_0) = cast_as_carrier_subset(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 49.84/50.07 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 49.84/50.07 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 49.84/50.07 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 49.84/50.07 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~topological_space(__eqx_0) | topological_space(__eqy_0) )).
% 49.84/50.07 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~top_str(__eqx_0) | top_str(__eqy_0) )).
% 49.84/50.07 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 49.84/50.07 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 49.84/50.07 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~v5_membered(__eqx_0) | v5_membered(__eqy_0) )).
% 49.84/50.07 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~v4_membered(__eqx_0) | v4_membered(__eqy_0) )).
% 49.84/50.07 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v3_membered(__eqx_0) | v3_membered(__eqy_0) )).
% 49.84/50.07 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~v2_membered(__eqx_0) | v2_membered(__eqy_0) )).
% 49.84/50.07 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v1_membered(__eqx_0) | v1_membered(__eqy_0) )).
% 49.84/50.07 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 49.84/50.07 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xcmplx_0(__eqx_0) | v1_xcmplx_0(__eqy_0) )).
% 49.84/50.07 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xreal_0(__eqx_0) | v1_xreal_0(__eqy_0) )).
% 49.84/50.07 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~v1_rat_1(__eqx_0) | v1_rat_1(__eqy_0) )).
% 49.84/50.07 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~v1_int_1(__eqx_0) | v1_int_1(__eqy_0) )).
% 49.84/50.07 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~natural(__eqx_0) | natural(__eqy_0) )).
% 49.84/50.07 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~closed_subset(__eqx_0, __eqx_1) | closed_subset(__eqy_0, __eqy_1) )).
% 49.84/50.07 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 49.84/50.07 cnf(matrix-31, plain, ( topological_space(skolem1) )).
% 49.84/50.07 cnf(matrix-32, plain, ( top_str(skolem1) )).
% 49.84/50.07 cnf(matrix-33, plain, ( element(skolem2, powerset(powerset(the_carrier(skolem1)))) )).
% 49.84/50.07 cnf(matrix-34, plain, ( ~element(_u1, powerset(powerset(the_carrier(skolem1)))) | element(skolem3(_u1), powerset(the_carrier(skolem1))) )).
% 49.84/50.07 cnf(matrix-35, plain, ( ~element(_u1, powerset(powerset(the_carrier(skolem1)))) | in(skolem3(_u1), _u1) | in(set_difference(cast_as_carrier_subset(skolem1), skolem3(_u1)), skolem2) )).
% 49.84/50.07 cnf(matrix-36, plain, ( ~element(_u1, powerset(powerset(the_carrier(skolem1)))) | ~in(set_difference(cast_as_carrier_subset(skolem1), skolem3(_u1)), skolem2) | ~in(skolem3(_u1), _u1) )).
% 49.84/50.07 cnf(matrix-37, plain, ( ~v5_membered(_u4) | v4_membered(_u4) )).
% 49.84/50.07 cnf(matrix-38, plain, ( ~v4_membered(_u5) | v3_membered(_u5) )).
% 49.84/50.07 cnf(matrix-39, plain, ( ~v3_membered(_u6) | v2_membered(_u6) )).
% 49.84/50.07 cnf(matrix-40, plain, ( ~v2_membered(_u7) | v1_membered(_u7) )).
% 49.84/50.07 cnf(matrix-41, plain, ( ~empty(skolem4) )).
% 49.84/50.07 cnf(matrix-42, plain, ( v1_membered(skolem4) )).
% 49.84/50.07 cnf(matrix-43, plain, ( v2_membered(skolem4) )).
% 49.84/50.07 cnf(matrix-44, plain, ( v3_membered(skolem4) )).
% 49.84/50.07 cnf(matrix-45, plain, ( v4_membered(skolem4) )).
% 49.84/50.07 cnf(matrix-46, plain, ( v5_membered(skolem4) )).
% 49.84/50.07 cnf(matrix-47, plain, ( ~v1_membered(_u10) | ~element(_u9, _u10) | v1_xcmplx_0(_u9) )).
% 49.84/50.07 cnf(matrix-48, plain, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xcmplx_0(_u11) )).
% 49.84/50.07 cnf(matrix-49, plain, ( ~v2_membered(_u12) | ~element(_u11, _u12) | v1_xreal_0(_u11) )).
% 49.84/50.07 cnf(matrix-50, plain, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xcmplx_0(_u13) )).
% 49.84/50.07 cnf(matrix-51, plain, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_xreal_0(_u13) )).
% 49.84/50.07 cnf(matrix-52, plain, ( ~v3_membered(_u14) | ~element(_u13, _u14) | v1_rat_1(_u13) )).
% 49.84/50.07 cnf(matrix-53, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xcmplx_0(_u15) )).
% 49.84/50.07 cnf(matrix-54, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_xreal_0(_u15) )).
% 49.84/50.07 cnf(matrix-55, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_int_1(_u15) )).
% 49.84/50.07 cnf(matrix-56, plain, ( ~v4_membered(_u16) | ~element(_u15, _u16) | v1_rat_1(_u15) )).
% 49.84/50.07 cnf(matrix-57, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xcmplx_0(_u17) )).
% 49.84/50.07 cnf(matrix-58, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | natural(_u17) )).
% 49.84/50.07 cnf(matrix-59, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_xreal_0(_u17) )).
% 49.84/50.07 cnf(matrix-60, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_int_1(_u17) )).
% 49.84/50.07 cnf(matrix-61, plain, ( ~v5_membered(_u18) | ~element(_u17, _u18) | v1_rat_1(_u17) )).
% 49.84/50.07 cnf(matrix-62, plain, ( ~v1_membered(_u20) | ~element(_u19, powerset(_u20)) | v1_membered(_u19) )).
% 49.84/50.07 cnf(matrix-63, plain, ( ~v2_membered(_u22) | ~element(_u21, powerset(_u22)) | v1_membered(_u21) )).
% 49.84/50.07 cnf(matrix-64, plain, ( ~v2_membered(_u22) | ~element(_u21, powerset(_u22)) | v2_membered(_u21) )).
% 49.84/50.07 cnf(matrix-65, plain, ( ~v3_membered(_u24) | ~element(_u23, powerset(_u24)) | v1_membered(_u23) )).
% 49.84/50.07 cnf(matrix-66, plain, ( ~v3_membered(_u24) | ~element(_u23, powerset(_u24)) | v2_membered(_u23) )).
% 49.84/50.07 cnf(matrix-67, plain, ( ~v3_membered(_u24) | ~element(_u23, powerset(_u24)) | v3_membered(_u23) )).
% 49.84/50.07 cnf(matrix-68, plain, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v1_membered(_u25) )).
% 49.84/50.07 cnf(matrix-69, plain, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v2_membered(_u25) )).
% 49.84/50.07 cnf(matrix-70, plain, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v3_membered(_u25) )).
% 49.84/50.07 cnf(matrix-71, plain, ( ~v4_membered(_u26) | ~element(_u25, powerset(_u26)) | v4_membered(_u25) )).
% 49.84/50.07 cnf(matrix-72, plain, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v1_membered(_u27) )).
% 49.84/50.07 cnf(matrix-73, plain, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v2_membered(_u27) )).
% 49.84/50.07 cnf(matrix-74, plain, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v3_membered(_u27) )).
% 49.84/50.07 cnf(matrix-75, plain, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v4_membered(_u27) )).
% 49.84/50.07 cnf(matrix-76, plain, ( ~v5_membered(_u28) | ~element(_u27, powerset(_u28)) | v5_membered(_u27) )).
% 49.84/50.07 cnf(matrix-77, plain, ( ~v1_membered(_u30) | v1_membered(set_difference(_u30, _u29)) )).
% 49.84/50.07 cnf(matrix-78, plain, ( ~v2_membered(_u32) | v1_membered(set_difference(_u32, _u33)) )).
% 49.84/50.07 cnf(matrix-79, plain, ( ~v2_membered(_u32) | v2_membered(set_difference(_u32, _u34)) )).
% 49.84/50.07 cnf(matrix-80, plain, ( ~v3_membered(_u36) | v1_membered(set_difference(_u36, _u37)) )).
% 49.84/50.07 cnf(matrix-81, plain, ( ~v3_membered(_u36) | v2_membered(set_difference(_u36, _u38)) )).
% 49.84/50.07 cnf(matrix-82, plain, ( ~v3_membered(_u36) | v3_membered(set_difference(_u36, _u39)) )).
% 49.84/50.07 cnf(matrix-83, plain, ( ~v4_membered(_u41) | v1_membered(set_difference(_u41, _u42)) )).
% 49.84/50.07 cnf(matrix-84, plain, ( ~v4_membered(_u41) | v2_membered(set_difference(_u41, _u43)) )).
% 49.84/50.07 cnf(matrix-85, plain, ( ~v4_membered(_u41) | v3_membered(set_difference(_u41, _u44)) )).
% 49.84/50.07 cnf(matrix-86, plain, ( ~v4_membered(_u41) | v4_membered(set_difference(_u41, _u45)) )).
% 49.84/50.07 cnf(matrix-87, plain, ( ~v5_membered(_u47) | v1_membered(set_difference(_u47, _u48)) )).
% 49.84/50.07 cnf(matrix-88, plain, ( ~v5_membered(_u47) | v2_membered(set_difference(_u47, _u49)) )).
% 49.84/50.07 cnf(matrix-89, plain, ( ~v5_membered(_u47) | v3_membered(set_difference(_u47, _u50)) )).
% 49.84/50.07 cnf(matrix-90, plain, ( ~v5_membered(_u47) | v4_membered(set_difference(_u47, _u51)) )).
% 49.84/50.07 cnf(matrix-91, plain, ( ~v5_membered(_u47) | v5_membered(set_difference(_u47, _u52)) )).
% 49.84/50.07 cnf(matrix-92, plain, ( ~topological_space(_u54) | ~top_str(_u54) | element(skolem5(_u54), powerset(the_carrier(_u54))) )).
% 49.84/50.07 cnf(matrix-93, plain, ( ~topological_space(_u54) | ~top_str(_u54) | closed_subset(skolem5(_u54), _u54) )).
% 49.84/50.07 cnf(matrix-94, plain, ( empty(_u56) | element(skolem6(_u56), powerset(_u56)) )).
% 49.84/50.07 cnf(matrix-95, plain, ( empty(_u56) | ~empty(skolem6(_u56)) )).
% 49.84/50.07 cnf(matrix-96, plain, ( element(skolem7(_u58), powerset(_u58)) )).
% 49.84/50.07 cnf(matrix-97, plain, ( empty(skolem7(_u58)) )).
% 49.84/50.07 cnf(matrix-98, plain, ( ~empty(_u59) | v1_membered(_u59) )).
% 49.84/50.07 cnf(matrix-99, plain, ( ~empty(_u59) | v2_membered(_u59) )).
% 49.84/50.07 cnf(matrix-100, plain, ( ~empty(_u59) | v3_membered(_u59) )).
% 49.84/50.07 cnf(matrix-101, plain, ( ~empty(_u59) | v4_membered(_u59) )).
% 49.84/50.07 cnf(matrix-102, plain, ( ~empty(_u59) | v5_membered(_u59) )).
% 49.84/50.07 cnf(matrix-103, plain, ( ~in(_u61, _u60) | ~in(_u60, _u61) )).
% 49.84/50.07 cnf(matrix-104, plain, ( ~one_sorted_str(_u62) | element(cast_as_carrier_subset(_u62), powerset(the_carrier(_u62))) )).
% 49.84/50.07 cnf(matrix-105, plain, ( ~top_str(_u63) | one_sorted_str(_u63) )).
% 49.84/50.07 cnf(matrix-106, plain, ( ~topological_space(_u64) | ~top_str(_u64) | closed_subset(cast_as_carrier_subset(_u64), _u64) )).
% 49.84/50.07 cnf(matrix-107, plain, ( ~empty(powerset(_u65)) )).
% 49.84/50.07 cnf(matrix-108, plain, ( ~topological_space(_u69) | ~top_str(_u69) | ~element(_u68, powerset(powerset(the_carrier(_u69)))) | ~in(_u70, skolem8(_u69, _u68)) | in(_u70, powerset(the_carrier(_u69))) )).
% 49.84/50.07 cnf(matrix-109, plain, ( ~topological_space(_u69) | ~top_str(_u69) | ~element(_u68, powerset(powerset(the_carrier(_u69)))) | ~in(_u70, skolem8(_u69, _u68)) | in(set_difference(cast_as_carrier_subset(_u69), _u70), _u68) )).
% 49.84/50.07 cnf(matrix-110, plain, ( ~topological_space(_u69) | ~top_str(_u69) | ~element(_u68, powerset(powerset(the_carrier(_u69)))) | ~in(_u71, powerset(the_carrier(_u69))) | ~in(set_difference(cast_as_carrier_subset(_u69), _u71), _u68) | in(_u71, skolem8(_u69, _u68)) )).
% 49.84/50.07 cnf(matrix-111, plain, ( empty(_u80) | ~element(_u76, _u80) | in(_u76, _u80) )).
% 49.84/50.07 cnf(matrix-112, plain, ( empty(_u80) | ~in(_u77, _u80) | element(_u77, _u80) )).
% 49.84/50.07 cnf(matrix-113, plain, ( ~empty(_u81) | ~element(_u78, _u81) | empty(_u78) )).
% 49.84/50.07 cnf(matrix-114, plain, ( ~empty(_u81) | ~empty(_u79) | element(_u79, _u81) )).
% 49.84/50.07 cnf(matrix-115, plain, ( element(skolem9(_u83), _u83) )).
% 49.84/50.07 cnf(matrix-116, plain, ( empty(empty_set) )).
% 49.84/50.07 cnf(matrix-117, plain, ( element(_u86, powerset(_u85)) | in(skolem10(_u86, _u85), _u86) )).
% 49.84/50.07 cnf(matrix-118, plain, ( element(_u86, powerset(_u85)) | ~in(skolem10(_u86, _u85), _u85) )).
% 49.84/50.07 cnf(matrix-119, plain, ( empty(skolem11) )).
% 49.84/50.07 cnf(matrix-120, plain, ( ~empty(skolem12) )).
% 49.84/50.07 cnf(matrix-121, plain, ( ~empty(_u89) | ( _u89 = empty_set) )).
% 49.84/50.07 cnf(matrix-122, plain, ( ~in(_u91, _u90) | ~empty(_u90) )).
% 49.84/50.07 cnf(matrix-123, plain, ( ~empty(_u93) | ( _u93 = _u92) | ~empty(_u92) )).
% 49.84/50.07
% 49.84/50.07 % Proof stack:
% 49.84/50.07 cnf(proof-stack, plain,
% 49.84/50.07 proof_stack(
% 49.84/50.07 start(33),
% 49.84/50.07 left_branch(0, 109, 2, 2),
% 49.84/50.07 left_branch(0, 31, 0, 3),
% 49.84/50.07 right_branch(3),
% 49.84/50.07 left_branch(0, 35, 1, 4),
% 49.84/50.07 left_branch(0, 118, 0, 5),
% 49.84/50.07 left_branch(0, 108, 4, 6),
% 49.84/50.07 lemmata(0, 0),
% 49.84/50.07 left_branch(0, 117, 1, 8),
% 49.84/50.07 reduction(0, 2),
% 49.84/50.07 right_branch(8),
% 49.84/50.07 reduction(0, 0),
% 49.84/50.07 left_branch(0, 32, 0, 10),
% 49.84/50.07 right_branch(10),
% 49.84/50.07 right_branch(6),
% 49.84/50.07 right_branch(5),
% 49.84/50.07 left_branch(0, 110, 4, 6),
% 49.84/50.07 lemmata(0, 0),
% 49.84/50.07 reduction(0, 1),
% 49.84/50.07 left_branch(0, 111, 2, 9),
% 49.84/50.07 left_branch(0, 107, 0, 10),
% 49.84/50.07 right_branch(10),
% 49.84/50.07 left_branch(0, 34, 1, 11),
% 49.84/50.07 lemmata(0, 1),
% 49.84/50.07 right_branch(11),
% 49.84/50.07 right_branch(9),
% 49.84/50.07 reduction(0, 0),
% 49.84/50.07 left_branch(0, 32, 0, 11),
% 49.84/50.07 right_branch(11),
% 49.84/50.07 right_branch(6),
% 49.84/50.07 right_branch(4),
% 49.84/50.07 left_branch(0, 36, 1, 5),
% 49.84/50.07 left_branch(0, 118, 0, 6),
% 49.84/50.07 left_branch(0, 108, 4, 7),
% 49.84/50.07 lemmata(0, 0),
% 49.84/50.07 left_branch(0, 117, 1, 9),
% 49.84/50.07 reduction(0, 2),
% 49.84/50.07 right_branch(9),
% 49.84/50.07 reduction(0, 0),
% 49.84/50.07 left_branch(0, 32, 0, 11),
% 49.84/50.07 right_branch(11),
% 49.84/50.07 right_branch(7),
% 49.84/50.07 right_branch(6),
% 49.84/50.07 lemmata(0, 1),
% 49.84/50.07 right_branch(5),
% 49.84/50.07 left_branch(0, 32, 0, 6),
% 49.84/50.07 right_branch(6),
% 49.84/50.07 right_branch(2)
% 49.84/50.07 )).
% 49.84/50.07 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------