TSTP Solution File: SEU368+1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU368+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 : n010.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 09:20:56 EST 2024
% Result : Theorem 27.50s 27.71s
% Output : Proof 27.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU368+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Mar 3 10:23:10 EST 2024
% 0.13/0.34 % CPUTime :
% 27.50/27.71 % SZS status Theorem for theBenchmark
% 27.50/27.71 % SZS output start Proof for theBenchmark
% 27.50/27.71
% 27.50/27.71 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 27.50/27.71 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 27.50/27.71
% 27.50/27.71 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 27.50/27.71
% 27.50/27.71 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc3_struct_0-1, axiom, ( one_sorted_str(skolem1) )).
% 27.50/27.71 cnf(rc3_struct_0-2, axiom, ( ~empty_carrier(skolem1) )).
% 27.50/27.71
% 27.50/27.71 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(fc1_struct_0-1, axiom, ( empty_carrier(_u3) | ~one_sorted_str(_u3) | ~empty(the_carrier(_u3)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: rc5_struct_0 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc5_struct_0-1, axiom, ( empty_carrier(_u5) | ~one_sorted_str(_u5) | element(skolem2(_u5), powerset(the_carrier(_u5))) )).
% 27.50/27.71 cnf(rc5_struct_0-2, axiom, ( empty_carrier(_u5) | ~one_sorted_str(_u5) | ~empty(skolem2(_u5)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: rc2_orders_2 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc2_orders_2-1, axiom, ( rel_str(skolem3) )).
% 27.50/27.71 cnf(rc2_orders_2-2, axiom, ( ~empty_carrier(skolem3) )).
% 27.50/27.71 cnf(rc2_orders_2-3, axiom, ( strict_rel_str(skolem3) )).
% 27.50/27.71 cnf(rc2_orders_2-4, axiom, ( reflexive_relstr(skolem3) )).
% 27.50/27.71 cnf(rc2_orders_2-5, axiom, ( transitive_relstr(skolem3) )).
% 27.50/27.71 cnf(rc2_orders_2-6, axiom, ( antisymmetric_relstr(skolem3) )).
% 27.50/27.71
% 27.50/27.71 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t1_subset ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t1_subset-1, axiom, ( ~in(_u8, _u7) | element(_u8, _u7) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t4_subset ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t4_subset-1, axiom, ( ~in(_u11, _u10) | ~element(_u10, powerset(_u9)) | element(_u11, _u9) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t5_subset ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t5_subset-1, axiom, ( ~in(_u14, _u13) | ~element(_u13, powerset(_u12)) | ~empty(_u12) )).
% 27.50/27.71
% 27.50/27.71 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 27.50/27.71 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u16, _u16) )).
% 27.50/27.71
% 27.50/27.71 % Formula: fc6_yellow_1 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(fc6_yellow_1-1, axiom, ( empty(_u17) | ~empty_carrier(incl_POSet(_u17)) )).
% 27.50/27.71 cnf(fc6_yellow_1-2, axiom, ( empty(_u17) | strict_rel_str(incl_POSet(_u17)) )).
% 27.50/27.71 cnf(fc6_yellow_1-3, axiom, ( empty(_u17) | reflexive_relstr(incl_POSet(_u17)) )).
% 27.50/27.71 cnf(fc6_yellow_1-4, axiom, ( empty(_u17) | transitive_relstr(incl_POSet(_u17)) )).
% 27.50/27.71 cnf(fc6_yellow_1-5, axiom, ( empty(_u17) | antisymmetric_relstr(incl_POSet(_u17)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: fc1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(fc1_orders_2-1, axiom, ( empty(_u19) | ~relation_of2(_u18, _u19, _u19) | ~empty_carrier(rel_str_of(_u19, _u18)) )).
% 27.50/27.71 cnf(fc1_orders_2-2, axiom, ( empty(_u19) | ~relation_of2(_u18, _u19, _u19) | strict_rel_str(rel_str_of(_u19, _u18)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc1_subset_1-1, axiom, ( empty(_u21) | element(skolem4(_u21), powerset(_u21)) )).
% 27.50/27.71 cnf(rc1_subset_1-2, axiom, ( empty(_u21) | ~empty(skolem4(_u21)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(fc4_subset_1-1, axiom, ( empty(_u23) | empty(_u22) | ~empty(cartesian_product2(_u23, _u22)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc2_subset_1-1, axiom, ( element(skolem5(_u25), powerset(_u25)) )).
% 27.50/27.71 cnf(rc2_subset_1-2, axiom, ( empty(skolem5(_u25)) )).
% 27.50/27.71
% 27.50/27.71 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc1_xboole_0-1, axiom, ( empty(skolem6) )).
% 27.50/27.71
% 27.50/27.71 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem7) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t2_subset ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t2_subset-1, axiom, ( ~element(_u29, _u28) | empty(_u28) | in(_u29, _u28) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t6_boole ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t6_boole-1, axiom, ( ~empty(_u30) | ( _u30 = empty_set) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t7_boole ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t7_boole-1, axiom, ( ~in(_u32, _u31) | ~empty(_u31) )).
% 27.50/27.71
% 27.50/27.71 % Formula: t8_boole ( axiom ) converted to clauses:
% 27.50/27.71 cnf(t8_boole-1, axiom, ( ~empty(_u34) | ( _u34 = _u33) | ~empty(_u33) )).
% 27.50/27.71
% 27.50/27.71 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 27.50/27.71 cnf(existence_m1_relset_1-1, axiom, ( relation_of2(skolem8(_u37, _u36), _u37, _u36) )).
% 27.50/27.72
% 27.50/27.72 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(existence_m1_subset_1-1, axiom, ( element(skolem9(_u39), _u39) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 27.50/27.72
% 27.50/27.72 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 27.50/27.72
% 27.50/27.72 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 27.50/27.72
% 27.50/27.72 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 27.50/27.72
% 27.50/27.72 % Formula: fc3_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(fc3_orders_2-1, axiom, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | strict_rel_str(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(fc3_orders_2-2, axiom, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | reflexive_relstr(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(fc3_orders_2-3, axiom, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | transitive_relstr(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(fc3_orders_2-4, axiom, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | antisymmetric_relstr(rel_str_of(_u41, _u40)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(cc1_relset_1-1, axiom, ( ~element(_u42, powerset(cartesian_product2(_u44, _u43))) | relation(_u42) )).
% 27.50/27.72
% 27.50/27.72 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u45)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: t3_subset ( axiom ) converted to clauses:
% 27.50/27.72 cnf(t3_subset-1, axiom, ( ~element(_u50, powerset(_u48)) | subset(_u50, _u48) )).
% 27.50/27.72 cnf(t3_subset-2, axiom, ( ~subset(_u51, _u49) | element(_u51, powerset(_u49)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: free_g1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(free_g1_orders_2-1, axiom, ( ~relation_of2(_u54, _u55, _u55) | ( rel_str_of(_u55, _u54) != rel_str_of(_u53, _u52)) | ( _u55 = _u53) )).
% 27.50/27.72 cnf(free_g1_orders_2-2, axiom, ( ~relation_of2(_u54, _u55, _u55) | ( rel_str_of(_u55, _u54) != rel_str_of(_u53, _u52)) | ( _u54 = _u52) )).
% 27.50/27.72
% 27.50/27.72 % Formula: abstractness_v1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(abstractness_v1_orders_2-1, axiom, ( ~rel_str(_u56) | ~strict_rel_str(_u56) | ( _u56 = rel_str_of(the_carrier(_u56), the_InternalRel(_u56))) )).
% 27.50/27.72
% 27.50/27.72 % Formula: existence_l1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(existence_l1_orders_2-1, axiom, ( rel_str(skolem10) )).
% 27.50/27.72
% 27.50/27.72 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(existence_l1_struct_0-1, axiom, ( one_sorted_str(skolem11) )).
% 27.50/27.72
% 27.50/27.72 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(existence_m2_relset_1-1, axiom, ( relation_of2_as_subset(skolem12(_u61, _u60), _u61, _u60) )).
% 27.50/27.72
% 27.50/27.72 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(redefinition_m2_relset_1-1, axiom, ( ~relation_of2_as_subset(_u65, _u69, _u67) | relation_of2(_u65, _u69, _u67) )).
% 27.50/27.72 cnf(redefinition_m2_relset_1-2, axiom, ( ~relation_of2(_u66, _u70, _u68) | relation_of2_as_subset(_u66, _u70, _u68) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_g1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_g1_orders_2-1, axiom, ( ~relation_of2(_u71, _u72, _u72) | strict_rel_str(rel_str_of(_u72, _u71)) )).
% 27.50/27.72 cnf(dt_g1_orders_2-2, axiom, ( ~relation_of2(_u71, _u72, _u72) | rel_str(rel_str_of(_u72, _u71)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_k1_wellord2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_k1_wellord2-1, axiom, ( relation(inclusion_relation(_u73)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_l1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_l1_orders_2-1, axiom, ( ~rel_str(_u74) | one_sorted_str(_u74) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 27.50/27.72
% 27.50/27.72 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_m2_relset_1-1, axiom, ( ~relation_of2_as_subset(_u75, _u77, _u76) | element(_u75, powerset(cartesian_product2(_u77, _u76))) )).
% 27.50/27.72
% 27.50/27.72 % Formula: rc1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(rc1_orders_2-1, axiom, ( rel_str(skolem13) )).
% 27.50/27.72 cnf(rc1_orders_2-2, axiom, ( strict_rel_str(skolem13) )).
% 27.50/27.72
% 27.50/27.72 % Formula: fc2_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(fc2_orders_2-1, axiom, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | relation(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(fc2_orders_2-2, axiom, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | reflexive(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(fc2_orders_2-3, axiom, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | antisymmetric(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(fc2_orders_2-4, axiom, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | transitive(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(fc2_orders_2-5, axiom, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | v1_partfun1(the_InternalRel(_u79), the_carrier(_u79), the_carrier(_u79)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: redefinition_k1_yellow_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(redefinition_k1_yellow_1-1, axiom, ( ( inclusion_order(_u80) = inclusion_relation(_u80)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_k1_yellow_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_k1_yellow_1-1, axiom, ( reflexive(inclusion_order(_u82)) )).
% 27.50/27.72 cnf(dt_k1_yellow_1-2, axiom, ( antisymmetric(inclusion_order(_u83)) )).
% 27.50/27.72 cnf(dt_k1_yellow_1-3, axiom, ( transitive(inclusion_order(_u84)) )).
% 27.50/27.72 cnf(dt_k1_yellow_1-4, axiom, ( v1_partfun1(inclusion_order(_u85), _u85, _u85) )).
% 27.50/27.72 cnf(dt_k1_yellow_1-5, axiom, ( relation_of2_as_subset(inclusion_order(_u86), _u86, _u86) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_k2_yellow_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_k2_yellow_1-1, axiom, ( strict_rel_str(incl_POSet(_u88)) )).
% 27.50/27.72 cnf(dt_k2_yellow_1-2, axiom, ( rel_str(incl_POSet(_u89)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_u1_orders_2 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(dt_u1_orders_2-1, axiom, ( ~rel_str(_u90) | relation_of2_as_subset(the_InternalRel(_u90), the_carrier(_u90), the_carrier(_u90)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 27.50/27.72
% 27.50/27.72 % Formula: fc5_yellow_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(fc5_yellow_1-1, axiom, ( strict_rel_str(incl_POSet(_u92)) )).
% 27.50/27.72 cnf(fc5_yellow_1-2, axiom, ( reflexive_relstr(incl_POSet(_u93)) )).
% 27.50/27.72 cnf(fc5_yellow_1-3, axiom, ( transitive_relstr(incl_POSet(_u94)) )).
% 27.50/27.72 cnf(fc5_yellow_1-4, axiom, ( antisymmetric_relstr(incl_POSet(_u95)) )).
% 27.50/27.72
% 27.50/27.72 % Formula: d1_yellow_1 ( axiom ) converted to clauses:
% 27.50/27.72 cnf(d1_yellow_1-1, axiom, ( ( incl_POSet(_u96) = rel_str_of(_u96, inclusion_order(_u96))) )).
% 27.50/27.72
% 27.50/27.72 % Formula: t1_yellow_1 ( conjecture ) converted to clauses:
% 27.50/27.72 cnf(t1_yellow_1-1, negated_conjecture, ( ( the_carrier(incl_POSet(skolem14)) != skolem14) | ( the_InternalRel(incl_POSet(skolem15)) != inclusion_order(skolem15)) )).
% 27.50/27.72
% 27.50/27.72 % Problem matrix:
% 27.50/27.72 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 27.50/27.72 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 27.50/27.72 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 27.50/27.72 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( incl_POSet(__eqx_0) = incl_POSet(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( rel_str_of(__eqx_0, __eqx_1) = rel_str_of(__eqy_0, __eqy_1)) )).
% 27.50/27.72 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 27.50/27.72 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( the_InternalRel(__eqx_0) = the_InternalRel(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( inclusion_relation(__eqx_0) = inclusion_relation(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( inclusion_order(__eqx_0) = inclusion_order(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 27.50/27.72 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 27.50/27.72 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 27.50/27.72 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 27.50/27.72 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 27.50/27.72 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~empty_carrier(__eqx_0) | empty_carrier(__eqy_0) )).
% 27.50/27.72 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 27.50/27.72 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 27.50/27.72 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~rel_str(__eqx_0) | rel_str(__eqy_0) )).
% 27.50/27.72 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~strict_rel_str(__eqx_0) | strict_rel_str(__eqy_0) )).
% 27.50/27.72 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~reflexive_relstr(__eqx_0) | reflexive_relstr(__eqy_0) )).
% 27.50/27.72 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ~transitive_relstr(__eqx_0) | transitive_relstr(__eqy_0) )).
% 27.50/27.72 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~antisymmetric_relstr(__eqx_0) | antisymmetric_relstr(__eqy_0) )).
% 27.50/27.72 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 27.50/27.72 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~relation_of2(__eqx_0, __eqx_1, __eqx_2) | relation_of2(__eqy_0, __eqy_1, __eqy_2) )).
% 27.50/27.72 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~reflexive(__eqx_0) | reflexive(__eqy_0) )).
% 27.50/27.72 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~antisymmetric(__eqx_0) | antisymmetric(__eqy_0) )).
% 27.50/27.72 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ~transitive(__eqx_0) | transitive(__eqy_0) )).
% 27.50/27.72 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~v1_partfun1(__eqx_0, __eqx_1, __eqx_2) | v1_partfun1(__eqy_0, __eqy_1, __eqy_2) )).
% 27.50/27.72 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 27.50/27.72 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~relation_of2_as_subset(__eqx_0, __eqx_1, __eqx_2) | relation_of2_as_subset(__eqy_0, __eqy_1, __eqy_2) )).
% 27.50/27.72 cnf(matrix-35, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 27.50/27.72 cnf(matrix-36, plain, ( one_sorted_str(skolem1) )).
% 27.50/27.72 cnf(matrix-37, plain, ( ~empty_carrier(skolem1) )).
% 27.50/27.72 cnf(matrix-38, plain, ( empty_carrier(_u3) | ~one_sorted_str(_u3) | ~empty(the_carrier(_u3)) )).
% 27.50/27.72 cnf(matrix-39, plain, ( empty_carrier(_u5) | ~one_sorted_str(_u5) | element(skolem2(_u5), powerset(the_carrier(_u5))) )).
% 27.50/27.72 cnf(matrix-40, plain, ( empty_carrier(_u5) | ~one_sorted_str(_u5) | ~empty(skolem2(_u5)) )).
% 27.50/27.72 cnf(matrix-41, plain, ( rel_str(skolem3) )).
% 27.50/27.72 cnf(matrix-42, plain, ( ~empty_carrier(skolem3) )).
% 27.50/27.72 cnf(matrix-43, plain, ( strict_rel_str(skolem3) )).
% 27.50/27.72 cnf(matrix-44, plain, ( reflexive_relstr(skolem3) )).
% 27.50/27.72 cnf(matrix-45, plain, ( transitive_relstr(skolem3) )).
% 27.50/27.72 cnf(matrix-46, plain, ( antisymmetric_relstr(skolem3) )).
% 27.50/27.72 cnf(matrix-47, plain, ( empty(empty_set) )).
% 27.50/27.72 cnf(matrix-48, plain, ( ~in(_u8, _u7) | element(_u8, _u7) )).
% 27.50/27.72 cnf(matrix-49, plain, ( ~in(_u11, _u10) | ~element(_u10, powerset(_u9)) | element(_u11, _u9) )).
% 27.50/27.72 cnf(matrix-50, plain, ( ~in(_u14, _u13) | ~element(_u13, powerset(_u12)) | ~empty(_u12) )).
% 27.50/27.72 cnf(matrix-51, plain, ( subset(_u16, _u16) )).
% 27.50/27.72 cnf(matrix-52, plain, ( empty(_u17) | ~empty_carrier(incl_POSet(_u17)) )).
% 27.50/27.72 cnf(matrix-53, plain, ( empty(_u17) | strict_rel_str(incl_POSet(_u17)) )).
% 27.50/27.72 cnf(matrix-54, plain, ( empty(_u17) | reflexive_relstr(incl_POSet(_u17)) )).
% 27.50/27.72 cnf(matrix-55, plain, ( empty(_u17) | transitive_relstr(incl_POSet(_u17)) )).
% 27.50/27.72 cnf(matrix-56, plain, ( empty(_u17) | antisymmetric_relstr(incl_POSet(_u17)) )).
% 27.50/27.72 cnf(matrix-57, plain, ( empty(_u19) | ~relation_of2(_u18, _u19, _u19) | ~empty_carrier(rel_str_of(_u19, _u18)) )).
% 27.50/27.72 cnf(matrix-58, plain, ( empty(_u19) | ~relation_of2(_u18, _u19, _u19) | strict_rel_str(rel_str_of(_u19, _u18)) )).
% 27.50/27.72 cnf(matrix-59, plain, ( empty(_u21) | element(skolem4(_u21), powerset(_u21)) )).
% 27.50/27.72 cnf(matrix-60, plain, ( empty(_u21) | ~empty(skolem4(_u21)) )).
% 27.50/27.72 cnf(matrix-61, plain, ( empty(_u23) | empty(_u22) | ~empty(cartesian_product2(_u23, _u22)) )).
% 27.50/27.72 cnf(matrix-62, plain, ( element(skolem5(_u25), powerset(_u25)) )).
% 27.50/27.72 cnf(matrix-63, plain, ( empty(skolem5(_u25)) )).
% 27.50/27.72 cnf(matrix-64, plain, ( empty(skolem6) )).
% 27.50/27.72 cnf(matrix-65, plain, ( ~empty(skolem7) )).
% 27.50/27.72 cnf(matrix-66, plain, ( ~element(_u29, _u28) | empty(_u28) | in(_u29, _u28) )).
% 27.50/27.72 cnf(matrix-67, plain, ( ~empty(_u30) | ( _u30 = empty_set) )).
% 27.50/27.72 cnf(matrix-68, plain, ( ~in(_u32, _u31) | ~empty(_u31) )).
% 27.50/27.72 cnf(matrix-69, plain, ( ~empty(_u34) | ( _u34 = _u33) | ~empty(_u33) )).
% 27.50/27.72 cnf(matrix-70, plain, ( relation_of2(skolem8(_u37, _u36), _u37, _u36) )).
% 27.50/27.72 cnf(matrix-71, plain, ( element(skolem9(_u39), _u39) )).
% 27.50/27.72 cnf(matrix-72, plain, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | strict_rel_str(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(matrix-73, plain, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | reflexive_relstr(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(matrix-74, plain, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | transitive_relstr(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(matrix-75, plain, ( ~reflexive(_u40) | ~antisymmetric(_u40) | ~transitive(_u40) | ~v1_partfun1(_u40, _u41, _u41) | ~relation_of2(_u40, _u41, _u41) | antisymmetric_relstr(rel_str_of(_u41, _u40)) )).
% 27.50/27.72 cnf(matrix-76, plain, ( ~element(_u42, powerset(cartesian_product2(_u44, _u43))) | relation(_u42) )).
% 27.50/27.72 cnf(matrix-77, plain, ( ~empty(powerset(_u45)) )).
% 27.50/27.72 cnf(matrix-78, plain, ( ~element(_u50, powerset(_u48)) | subset(_u50, _u48) )).
% 27.50/27.72 cnf(matrix-79, plain, ( ~subset(_u51, _u49) | element(_u51, powerset(_u49)) )).
% 27.50/27.72 cnf(matrix-80, plain, ( ~relation_of2(_u54, _u55, _u55) | ( rel_str_of(_u55, _u54) != rel_str_of(_u53, _u52)) | ( _u55 = _u53) )).
% 27.50/27.72 cnf(matrix-81, plain, ( ~relation_of2(_u54, _u55, _u55) | ( rel_str_of(_u55, _u54) != rel_str_of(_u53, _u52)) | ( _u54 = _u52) )).
% 27.50/27.72 cnf(matrix-82, plain, ( ~rel_str(_u56) | ~strict_rel_str(_u56) | ( _u56 = rel_str_of(the_carrier(_u56), the_InternalRel(_u56))) )).
% 27.50/27.72 cnf(matrix-83, plain, ( rel_str(skolem10) )).
% 27.50/27.72 cnf(matrix-84, plain, ( one_sorted_str(skolem11) )).
% 27.50/27.72 cnf(matrix-85, plain, ( relation_of2_as_subset(skolem12(_u61, _u60), _u61, _u60) )).
% 27.50/27.72 cnf(matrix-86, plain, ( ~relation_of2_as_subset(_u65, _u69, _u67) | relation_of2(_u65, _u69, _u67) )).
% 27.50/27.72 cnf(matrix-87, plain, ( ~relation_of2(_u66, _u70, _u68) | relation_of2_as_subset(_u66, _u70, _u68) )).
% 27.50/27.72 cnf(matrix-88, plain, ( ~relation_of2(_u71, _u72, _u72) | strict_rel_str(rel_str_of(_u72, _u71)) )).
% 27.50/27.72 cnf(matrix-89, plain, ( ~relation_of2(_u71, _u72, _u72) | rel_str(rel_str_of(_u72, _u71)) )).
% 27.50/27.72 cnf(matrix-90, plain, ( relation(inclusion_relation(_u73)) )).
% 27.50/27.72 cnf(matrix-91, plain, ( ~rel_str(_u74) | one_sorted_str(_u74) )).
% 27.50/27.72 cnf(matrix-92, plain, ( ~relation_of2_as_subset(_u75, _u77, _u76) | element(_u75, powerset(cartesian_product2(_u77, _u76))) )).
% 27.50/27.72 cnf(matrix-93, plain, ( rel_str(skolem13) )).
% 27.50/27.72 cnf(matrix-94, plain, ( strict_rel_str(skolem13) )).
% 27.50/27.72 cnf(matrix-95, plain, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | relation(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(matrix-96, plain, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | reflexive(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(matrix-97, plain, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | antisymmetric(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(matrix-98, plain, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | transitive(the_InternalRel(_u79)) )).
% 27.50/27.72 cnf(matrix-99, plain, ( ~reflexive_relstr(_u79) | ~transitive_relstr(_u79) | ~antisymmetric_relstr(_u79) | ~rel_str(_u79) | v1_partfun1(the_InternalRel(_u79), the_carrier(_u79), the_carrier(_u79)) )).
% 27.50/27.72 cnf(matrix-100, plain, ( ( inclusion_order(_u80) = inclusion_relation(_u80)) )).
% 27.50/27.72 cnf(matrix-101, plain, ( reflexive(inclusion_order(_u82)) )).
% 27.50/27.72 cnf(matrix-102, plain, ( antisymmetric(inclusion_order(_u83)) )).
% 27.50/27.72 cnf(matrix-103, plain, ( transitive(inclusion_order(_u84)) )).
% 27.50/27.72 cnf(matrix-104, plain, ( v1_partfun1(inclusion_order(_u85), _u85, _u85) )).
% 27.50/27.72 cnf(matrix-105, plain, ( relation_of2_as_subset(inclusion_order(_u86), _u86, _u86) )).
% 27.50/27.72 cnf(matrix-106, plain, ( strict_rel_str(incl_POSet(_u88)) )).
% 27.50/27.72 cnf(matrix-107, plain, ( rel_str(incl_POSet(_u89)) )).
% 27.50/27.72 cnf(matrix-108, plain, ( ~rel_str(_u90) | relation_of2_as_subset(the_InternalRel(_u90), the_carrier(_u90), the_carrier(_u90)) )).
% 27.50/27.72 cnf(matrix-109, plain, ( strict_rel_str(incl_POSet(_u92)) )).
% 27.50/27.72 cnf(matrix-110, plain, ( reflexive_relstr(incl_POSet(_u93)) )).
% 27.50/27.72 cnf(matrix-111, plain, ( transitive_relstr(incl_POSet(_u94)) )).
% 27.50/27.72 cnf(matrix-112, plain, ( antisymmetric_relstr(incl_POSet(_u95)) )).
% 27.50/27.72 cnf(matrix-113, plain, ( ( incl_POSet(_u96) = rel_str_of(_u96, inclusion_order(_u96))) )).
% 27.50/27.72 cnf(matrix-114, plain, ( ( the_carrier(incl_POSet(skolem14)) != skolem14) | ( the_InternalRel(incl_POSet(skolem15)) != inclusion_order(skolem15)) )).
% 27.50/27.72
% 27.50/27.72 % Proof stack:
% 27.50/27.72 cnf(proof-stack, plain,
% 27.50/27.72 proof_stack(
% 27.50/27.72 start(114),
% 27.50/27.72 left_branch(0, 80, 2, 2),
% 27.50/27.72 left_branch(0, 86, 1, 3),
% 27.50/27.72 left_branch(0, 108, 1, 4),
% 27.50/27.72 left_branch(0, 107, 0, 5),
% 27.50/27.72 right_branch(5),
% 27.50/27.72 right_branch(4),
% 27.50/27.72 right_branch(3),
% 27.50/27.72 left_branch(0, 1, 1, 4),
% 27.50/27.72 left_branch(0, 2, 2, 5),
% 27.50/27.72 left_branch(0, 82, 2, 6),
% 27.50/27.72 left_branch(0, 89, 1, 7),
% 27.50/27.72 left_branch(0, 86, 1, 8),
% 27.50/27.72 left_branch(0, 105, 0, 9),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 right_branch(8),
% 27.50/27.72 right_branch(7),
% 27.50/27.72 left_branch(0, 88, 1, 8),
% 27.50/27.72 left_branch(0, 86, 1, 9),
% 27.50/27.72 left_branch(0, 105, 0, 10),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 right_branch(8),
% 27.50/27.72 right_branch(6),
% 27.50/27.72 left_branch(0, 6, 2, 7),
% 27.50/27.72 left_branch(0, 3, 1, 8),
% 27.50/27.72 left_branch(0, 1, 1, 9),
% 27.50/27.72 left_branch(0, 113, 0, 10),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 right_branch(8),
% 27.50/27.72 left_branch(0, 8, 1, 9),
% 27.50/27.72 left_branch(0, 1, 1, 10),
% 27.50/27.72 left_branch(0, 113, 0, 11),
% 27.50/27.72 right_branch(11),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 right_branch(7),
% 27.50/27.72 right_branch(5),
% 27.50/27.72 right_branch(4),
% 27.50/27.72 right_branch(2),
% 27.50/27.72 left_branch(0, 81, 2, 3),
% 27.50/27.72 left_branch(0, 86, 1, 4),
% 27.50/27.72 left_branch(0, 108, 1, 5),
% 27.50/27.72 left_branch(0, 107, 0, 6),
% 27.50/27.72 right_branch(6),
% 27.50/27.72 right_branch(5),
% 27.50/27.72 right_branch(4),
% 27.50/27.72 left_branch(0, 1, 1, 5),
% 27.50/27.72 left_branch(0, 2, 2, 6),
% 27.50/27.72 left_branch(0, 82, 2, 7),
% 27.50/27.72 left_branch(0, 89, 1, 8),
% 27.50/27.72 left_branch(0, 86, 1, 9),
% 27.50/27.72 left_branch(0, 105, 0, 10),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 right_branch(8),
% 27.50/27.72 left_branch(0, 88, 1, 9),
% 27.50/27.72 left_branch(0, 86, 1, 10),
% 27.50/27.72 left_branch(0, 105, 0, 11),
% 27.50/27.72 right_branch(11),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 right_branch(7),
% 27.50/27.72 left_branch(0, 6, 2, 8),
% 27.50/27.72 left_branch(0, 3, 1, 9),
% 27.50/27.72 left_branch(0, 1, 1, 10),
% 27.50/27.72 left_branch(0, 113, 0, 11),
% 27.50/27.72 right_branch(11),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(9),
% 27.50/27.72 left_branch(0, 8, 1, 10),
% 27.50/27.72 left_branch(0, 1, 1, 11),
% 27.50/27.72 left_branch(0, 113, 0, 12),
% 27.50/27.72 right_branch(12),
% 27.50/27.72 right_branch(11),
% 27.50/27.72 right_branch(10),
% 27.50/27.72 right_branch(8),
% 27.50/27.72 right_branch(6),
% 27.50/27.72 right_branch(5),
% 27.50/27.72 right_branch(3)
% 27.50/27.72 )).
% 27.50/27.72 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------