TSTP Solution File: SEU361+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU361+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 : Mon Mar 25 14:34:04 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % 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 : Wed Mar 20 14:36:48 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.13/0.37 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.13/0.37
% 0.13/0.37 % Formula: cc1_finset_1 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(cc1_finset_1-1, axiom, ( ~empty(_u2) | finite(_u2) )).
% 0.13/0.37
% 0.13/0.37 % Formula: d11_yellow_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(d11_yellow_0-1, axiom, ( ~rel_str(_u3) | ( bottom_of_relstr(_u3) = join_on_relstr(_u3, empty_set)) )).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_k1_xboole_0, axiom, $true).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_k1_yellow_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_k1_yellow_0-1, axiom, ( ~rel_str(_u5) | element(join_on_relstr(_u5, _u4), the_carrier(_u5)) )).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_k3_yellow_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_k3_yellow_0-1, axiom, ( ~rel_str(_u6) | element(bottom_of_relstr(_u6), the_carrier(_u6)) )).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_l1_orders_2 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_l1_orders_2-1, axiom, ( ~rel_str(_u7) | one_sorted_str(_u7) )).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_l1_struct_0, axiom, $true).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_m1_subset_1, axiom, $true).
% 0.13/0.37
% 0.13/0.37 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(dt_u1_struct_0, axiom, $true).
% 0.13/0.37
% 0.13/0.37 % Formula: existence_l1_orders_2 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(existence_l1_orders_2-1, axiom, ( rel_str(skolem1) )).
% 0.13/0.37
% 0.13/0.37 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(existence_l1_struct_0-1, axiom, ( one_sorted_str(skolem2) )).
% 0.13/0.37
% 0.13/0.37 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(existence_m1_subset_1-1, axiom, ( element(skolem3(_u11), _u11) )).
% 0.13/0.37
% 0.13/0.37 % Formula: fc1_struct_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(fc1_struct_0-1, axiom, ( empty_carrier(_u12) | ~one_sorted_str(_u12) | ~empty(the_carrier(_u12)) )).
% 0.13/0.37
% 0.13/0.37 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.13/0.37
% 0.13/0.37 % Formula: rc1_finset_1 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(rc1_finset_1-1, axiom, ( ~empty(skolem4) )).
% 0.13/0.37 cnf(rc1_finset_1-2, axiom, ( finite(skolem4) )).
% 0.13/0.37
% 0.13/0.37 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(rc1_xboole_0-1, axiom, ( empty(skolem5) )).
% 0.13/0.37
% 0.13/0.37 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem6) )).
% 0.13/0.37
% 0.13/0.37 % Formula: rc3_struct_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(rc3_struct_0-1, axiom, ( one_sorted_str(skolem7) )).
% 0.13/0.37 cnf(rc3_struct_0-2, axiom, ( ~empty_carrier(skolem7) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t1_subset-1, axiom, ( ~in(_u18, _u17) | element(_u18, _u17) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t2_subset-1, axiom, ( ~element(_u20, _u19) | empty(_u19) | in(_u20, _u19) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t30_yellow_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t30_yellow_0-1, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 != join_on_relstr(_u25, _u26)) | ~ex_sup_of_relstr_set(_u25, _u26) | relstr_set_smaller(_u25, _u26, _u24) )).
% 0.13/0.37 cnf(t30_yellow_0-2, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 != join_on_relstr(_u25, _u26)) | ~ex_sup_of_relstr_set(_u25, _u26) | ~element(_u21, the_carrier(_u25)) | ~relstr_set_smaller(_u25, _u26, _u21) | related(_u25, _u24, _u21) )).
% 0.13/0.37 cnf(t30_yellow_0-3, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 = join_on_relstr(_u25, _u27)) | ~relstr_set_smaller(_u25, _u27, _u24) | element(skolem8(_u25, _u24, _u27), the_carrier(_u25)) )).
% 0.13/0.37 cnf(t30_yellow_0-4, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 = join_on_relstr(_u25, _u27)) | ~relstr_set_smaller(_u25, _u27, _u24) | relstr_set_smaller(_u25, _u27, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(t30_yellow_0-5, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 = join_on_relstr(_u25, _u27)) | ~relstr_set_smaller(_u25, _u27, _u24) | ~related(_u25, _u24, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(t30_yellow_0-6, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ex_sup_of_relstr_set(_u25, _u27) | ~relstr_set_smaller(_u25, _u27, _u24) | element(skolem8(_u25, _u24, _u27), the_carrier(_u25)) )).
% 0.13/0.37 cnf(t30_yellow_0-7, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ex_sup_of_relstr_set(_u25, _u27) | ~relstr_set_smaller(_u25, _u27, _u24) | relstr_set_smaller(_u25, _u27, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(t30_yellow_0-8, axiom, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ex_sup_of_relstr_set(_u25, _u27) | ~relstr_set_smaller(_u25, _u27, _u24) | ~related(_u25, _u24, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t42_yellow_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t42_yellow_0-1, axiom, ( empty_carrier(_u28) | ~antisymmetric_relstr(_u28) | ~lower_bounded_relstr(_u28) | ~rel_str(_u28) | ex_sup_of_relstr_set(_u28, empty_set) )).
% 0.13/0.37 cnf(t42_yellow_0-2, axiom, ( empty_carrier(_u28) | ~antisymmetric_relstr(_u28) | ~lower_bounded_relstr(_u28) | ~rel_str(_u28) | ex_inf_of_relstr_set(_u28, the_carrier(_u28)) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t44_yellow_0 ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.37 cnf(t44_yellow_0-1, negated_conjecture, ( ~empty_carrier(skolem9) )).
% 0.13/0.37 cnf(t44_yellow_0-2, negated_conjecture, ( antisymmetric_relstr(skolem9) )).
% 0.13/0.37 cnf(t44_yellow_0-3, negated_conjecture, ( lower_bounded_relstr(skolem9) )).
% 0.13/0.37 cnf(t44_yellow_0-4, negated_conjecture, ( rel_str(skolem9) )).
% 0.13/0.37 cnf(t44_yellow_0-5, negated_conjecture, ( element(skolem10, the_carrier(skolem9)) )).
% 0.13/0.37 cnf(t44_yellow_0-6, negated_conjecture, ( ~related(skolem9, bottom_of_relstr(skolem9), skolem10) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t6_boole-1, axiom, ( ~empty(_u31) | ( _u31 = empty_set) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t6_yellow_0 ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t6_yellow_0-1, axiom, ( ~rel_str(_u33) | ~element(_u32, the_carrier(_u33)) | relstr_set_smaller(_u33, empty_set, _u32) )).
% 0.13/0.37 cnf(t6_yellow_0-2, axiom, ( ~rel_str(_u33) | ~element(_u32, the_carrier(_u33)) | relstr_element_smaller(_u33, empty_set, _u32) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t7_boole-1, axiom, ( ~in(_u35, _u34) | ~empty(_u34) )).
% 0.13/0.37
% 0.13/0.37 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.13/0.37 cnf(t8_boole-1, axiom, ( ~empty(_u37) | ( _u37 = _u36) | ~empty(_u36) )).
% 0.13/0.37
% 0.13/0.37 % Problem matrix:
% 0.13/0.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( bottom_of_relstr(__eqx_0) = bottom_of_relstr(__eqy_0)) )).
% 0.13/0.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( join_on_relstr(__eqx_0, __eqx_1) = join_on_relstr(__eqy_0, __eqy_1)) )).
% 0.13/0.37 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 0.13/0.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.13/0.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.13/0.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.13/0.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.13/0.37 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~finite(__eqx_0) | finite(__eqy_0) )).
% 0.13/0.37 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~rel_str(__eqx_0) | rel_str(__eqy_0) )).
% 0.13/0.37 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.13/0.37 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 0.13/0.37 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~empty_carrier(__eqx_0) | empty_carrier(__eqy_0) )).
% 0.13/0.37 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~antisymmetric_relstr(__eqx_0) | antisymmetric_relstr(__eqy_0) )).
% 0.13/0.37 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ex_sup_of_relstr_set(__eqx_0, __eqx_1) | ex_sup_of_relstr_set(__eqy_0, __eqy_1) )).
% 0.13/0.37 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~relstr_set_smaller(__eqx_0, __eqx_1, __eqx_2) | relstr_set_smaller(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.37 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~related(__eqx_0, __eqx_1, __eqx_2) | related(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.37 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~lower_bounded_relstr(__eqx_0) | lower_bounded_relstr(__eqy_0) )).
% 0.13/0.37 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ex_inf_of_relstr_set(__eqx_0, __eqx_1) | ex_inf_of_relstr_set(__eqy_0, __eqy_1) )).
% 0.13/0.37 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~relstr_element_smaller(__eqx_0, __eqx_1, __eqx_2) | relstr_element_smaller(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.37 cnf(matrix-22, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.13/0.37 cnf(matrix-23, plain, ( ~empty(_u2) | finite(_u2) )).
% 0.13/0.37 cnf(matrix-24, plain, ( ~rel_str(_u3) | ( bottom_of_relstr(_u3) = join_on_relstr(_u3, empty_set)) )).
% 0.13/0.37 cnf(matrix-25, plain, ( ~rel_str(_u5) | element(join_on_relstr(_u5, _u4), the_carrier(_u5)) )).
% 0.13/0.37 cnf(matrix-26, plain, ( ~rel_str(_u6) | element(bottom_of_relstr(_u6), the_carrier(_u6)) )).
% 0.13/0.37 cnf(matrix-27, plain, ( ~rel_str(_u7) | one_sorted_str(_u7) )).
% 0.13/0.37 cnf(matrix-28, plain, ( rel_str(skolem1) )).
% 0.13/0.37 cnf(matrix-29, plain, ( one_sorted_str(skolem2) )).
% 0.13/0.37 cnf(matrix-30, plain, ( element(skolem3(_u11), _u11) )).
% 0.13/0.37 cnf(matrix-31, plain, ( empty_carrier(_u12) | ~one_sorted_str(_u12) | ~empty(the_carrier(_u12)) )).
% 0.13/0.37 cnf(matrix-32, plain, ( empty(empty_set) )).
% 0.13/0.37 cnf(matrix-33, plain, ( ~empty(skolem4) )).
% 0.13/0.37 cnf(matrix-34, plain, ( finite(skolem4) )).
% 0.13/0.37 cnf(matrix-35, plain, ( empty(skolem5) )).
% 0.13/0.37 cnf(matrix-36, plain, ( ~empty(skolem6) )).
% 0.13/0.37 cnf(matrix-37, plain, ( one_sorted_str(skolem7) )).
% 0.13/0.37 cnf(matrix-38, plain, ( ~empty_carrier(skolem7) )).
% 0.13/0.37 cnf(matrix-39, plain, ( ~in(_u18, _u17) | element(_u18, _u17) )).
% 0.13/0.37 cnf(matrix-40, plain, ( ~element(_u20, _u19) | empty(_u19) | in(_u20, _u19) )).
% 0.13/0.37 cnf(matrix-41, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 != join_on_relstr(_u25, _u26)) | ~ex_sup_of_relstr_set(_u25, _u26) | relstr_set_smaller(_u25, _u26, _u24) )).
% 0.13/0.37 cnf(matrix-42, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 != join_on_relstr(_u25, _u26)) | ~ex_sup_of_relstr_set(_u25, _u26) | ~element(_u21, the_carrier(_u25)) | ~relstr_set_smaller(_u25, _u26, _u21) | related(_u25, _u24, _u21) )).
% 0.13/0.37 cnf(matrix-43, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 = join_on_relstr(_u25, _u27)) | ~relstr_set_smaller(_u25, _u27, _u24) | element(skolem8(_u25, _u24, _u27), the_carrier(_u25)) )).
% 0.13/0.37 cnf(matrix-44, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 = join_on_relstr(_u25, _u27)) | ~relstr_set_smaller(_u25, _u27, _u24) | relstr_set_smaller(_u25, _u27, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(matrix-45, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ( _u24 = join_on_relstr(_u25, _u27)) | ~relstr_set_smaller(_u25, _u27, _u24) | ~related(_u25, _u24, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(matrix-46, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ex_sup_of_relstr_set(_u25, _u27) | ~relstr_set_smaller(_u25, _u27, _u24) | element(skolem8(_u25, _u24, _u27), the_carrier(_u25)) )).
% 0.13/0.37 cnf(matrix-47, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ex_sup_of_relstr_set(_u25, _u27) | ~relstr_set_smaller(_u25, _u27, _u24) | relstr_set_smaller(_u25, _u27, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(matrix-48, plain, ( ~antisymmetric_relstr(_u25) | ~rel_str(_u25) | ~element(_u24, the_carrier(_u25)) | ex_sup_of_relstr_set(_u25, _u27) | ~relstr_set_smaller(_u25, _u27, _u24) | ~related(_u25, _u24, skolem8(_u25, _u24, _u27)) )).
% 0.13/0.37 cnf(matrix-49, plain, ( empty_carrier(_u28) | ~antisymmetric_relstr(_u28) | ~lower_bounded_relstr(_u28) | ~rel_str(_u28) | ex_sup_of_relstr_set(_u28, empty_set) )).
% 0.13/0.37 cnf(matrix-50, plain, ( empty_carrier(_u28) | ~antisymmetric_relstr(_u28) | ~lower_bounded_relstr(_u28) | ~rel_str(_u28) | ex_inf_of_relstr_set(_u28, the_carrier(_u28)) )).
% 0.13/0.37 cnf(matrix-51, plain, ( ~empty_carrier(skolem9) )).
% 0.13/0.37 cnf(matrix-52, plain, ( antisymmetric_relstr(skolem9) )).
% 0.13/0.37 cnf(matrix-53, plain, ( lower_bounded_relstr(skolem9) )).
% 0.13/0.37 cnf(matrix-54, plain, ( rel_str(skolem9) )).
% 0.13/0.37 cnf(matrix-55, plain, ( element(skolem10, the_carrier(skolem9)) )).
% 0.13/0.37 cnf(matrix-56, plain, ( ~related(skolem9, bottom_of_relstr(skolem9), skolem10) )).
% 0.13/0.37 cnf(matrix-57, plain, ( ~empty(_u31) | ( _u31 = empty_set) )).
% 0.13/0.37 cnf(matrix-58, plain, ( ~rel_str(_u33) | ~element(_u32, the_carrier(_u33)) | relstr_set_smaller(_u33, empty_set, _u32) )).
% 0.13/0.37 cnf(matrix-59, plain, ( ~rel_str(_u33) | ~element(_u32, the_carrier(_u33)) | relstr_element_smaller(_u33, empty_set, _u32) )).
% 0.13/0.37 cnf(matrix-60, plain, ( ~in(_u35, _u34) | ~empty(_u34) )).
% 0.13/0.37 cnf(matrix-61, plain, ( ~empty(_u37) | ( _u37 = _u36) | ~empty(_u36) )).
% 0.13/0.37
% 0.13/0.37 % Proof stack:
% 0.13/0.37 cnf(proof-stack, plain,
% 0.13/0.37 proof_stack(
% 0.13/0.37 start(56),
% 0.13/0.37 left_branch(0, 42, 7, 2),
% 0.13/0.37 left_branch(0, 52, 0, 3),
% 0.13/0.37 right_branch(3),
% 0.13/0.37 left_branch(0, 58, 2, 4),
% 0.13/0.37 left_branch(0, 54, 0, 5),
% 0.13/0.37 right_branch(5),
% 0.13/0.37 left_branch(0, 55, 0, 6),
% 0.13/0.37 right_branch(6),
% 0.13/0.37 right_branch(4),
% 0.13/0.37 left_branch(0, 55, 0, 5),
% 0.13/0.37 right_branch(5),
% 0.13/0.37 left_branch(0, 49, 4, 6),
% 0.13/0.37 left_branch(0, 51, 0, 7),
% 0.13/0.37 right_branch(7),
% 0.13/0.37 left_branch(0, 54, 0, 8),
% 0.13/0.37 right_branch(8),
% 0.13/0.37 left_branch(0, 53, 0, 9),
% 0.13/0.37 right_branch(9),
% 0.13/0.37 lemmata(0, 0),
% 0.13/0.37 right_branch(6),
% 0.13/0.37 left_branch(0, 24, 1, 7),
% 0.13/0.37 left_branch(0, 54, 0, 8),
% 0.13/0.37 right_branch(8),
% 0.13/0.37 right_branch(7),
% 0.13/0.37 left_branch(0, 26, 1, 8),
% 0.13/0.37 left_branch(0, 54, 0, 9),
% 0.13/0.37 right_branch(9),
% 0.13/0.37 right_branch(8),
% 0.13/0.37 left_branch(0, 54, 0, 9),
% 0.13/0.37 right_branch(9),
% 0.13/0.37 right_branch(2)
% 0.13/0.37 )).
% 0.13/0.37 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------