TSTP Solution File: SEU359+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SEU359+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 : n008.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 0.61s 0.79s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU359+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 : n008.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 14:31:13 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.61/0.79  % SZS status Theorem for theBenchmark
% 0.61/0.79  % SZS output start Proof for theBenchmark
% 0.61/0.79  
% 0.61/0.79  % Formula: d9_yellow_0 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(d9_yellow_0-1, axiom, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 != join_on_relstr(_u4, _u3)) | relstr_set_smaller(_u4, _u3, _u2) )).
% 0.61/0.79  cnf(d9_yellow_0-2, axiom, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 != join_on_relstr(_u4, _u3)) | ~element(_u0, the_carrier(_u4)) | ~relstr_set_smaller(_u4, _u3, _u0) | related(_u4, _u2, _u0) )).
% 0.61/0.79  cnf(d9_yellow_0-3, axiom, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 = join_on_relstr(_u4, _u3)) | ~relstr_set_smaller(_u4, _u3, _u2) | element(skolem1(_u4, _u3, _u2), the_carrier(_u4)) )).
% 0.61/0.79  cnf(d9_yellow_0-4, axiom, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 = join_on_relstr(_u4, _u3)) | ~relstr_set_smaller(_u4, _u3, _u2) | relstr_set_smaller(_u4, _u3, skolem1(_u4, _u3, _u2)) )).
% 0.61/0.79  cnf(d9_yellow_0-5, axiom, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 = join_on_relstr(_u4, _u3)) | ~relstr_set_smaller(_u4, _u3, _u2) | ~related(_u4, _u2, skolem1(_u4, _u3, _u2)) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: dt_k1_yellow_0 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(dt_k1_yellow_0-1, axiom, ( ~rel_str(_u6) | element(join_on_relstr(_u6, _u5), the_carrier(_u6)) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: dt_l1_orders_2 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(dt_l1_orders_2-1, axiom, ( ~rel_str(_u7) | one_sorted_str(_u7) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(dt_l1_struct_0, axiom, $true).
% 0.61/0.79  
% 0.61/0.79  % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(dt_m1_subset_1, axiom, $true).
% 0.61/0.79  
% 0.61/0.79  % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(dt_u1_struct_0, axiom, $true).
% 0.61/0.79  
% 0.61/0.79  % Formula: existence_l1_orders_2 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(existence_l1_orders_2-1, axiom, ( rel_str(skolem2) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(existence_l1_struct_0-1, axiom, ( one_sorted_str(skolem3) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(existence_m1_subset_1-1, axiom, ( element(skolem4(_u11), _u11) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: t15_yellow_0 ( axiom ) converted to clauses:
% 0.61/0.79  cnf(t15_yellow_0-1, axiom, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ~ex_sup_of_relstr_set(_u17, _u18) | element(skolem5(_u17, _u18), the_carrier(_u17)) )).
% 0.61/0.79  cnf(t15_yellow_0-2, axiom, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ~ex_sup_of_relstr_set(_u17, _u18) | relstr_set_smaller(_u17, _u18, skolem5(_u17, _u18)) )).
% 0.61/0.79  cnf(t15_yellow_0-3, axiom, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ~ex_sup_of_relstr_set(_u17, _u18) | ~element(_u12, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u18, _u12) | related(_u17, skolem5(_u17, _u18), _u12) )).
% 0.61/0.79  cnf(t15_yellow_0-4, axiom, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ex_sup_of_relstr_set(_u17, _u19) | ~element(_u15, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u19, _u15) | element(skolem6(_u17, _u19, _u15), the_carrier(_u17)) )).
% 0.61/0.79  cnf(t15_yellow_0-5, axiom, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ex_sup_of_relstr_set(_u17, _u19) | ~element(_u15, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u19, _u15) | relstr_set_smaller(_u17, _u19, skolem6(_u17, _u19, _u15)) )).
% 0.61/0.79  cnf(t15_yellow_0-6, axiom, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ex_sup_of_relstr_set(_u17, _u19) | ~element(_u15, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u19, _u15) | ~related(_u17, _u15, skolem6(_u17, _u19, _u15)) )).
% 0.61/0.79  
% 0.61/0.79  % Formula: t30_yellow_0 ( conjecture ) (definitionally) converted to clauses:
% 0.61/0.79  cnf(t30_yellow_0-1, negated_conjecture, ( antisymmetric_relstr(skolem7) )).
% 0.61/0.79  cnf(t30_yellow_0-2, negated_conjecture, ( rel_str(skolem7) )).
% 0.61/0.79  cnf(t30_yellow_0-3, negated_conjecture, ( element(skolem8, the_carrier(skolem7)) )).
% 0.61/0.79  cnf(t30_yellow_0-4, negated_conjecture, ( ~_def1 | ~_def2(_u21) )).
% 0.61/0.79  cnf(t30_yellow_0-5, negated_conjecture, ( _def1 | ( skolem8 = join_on_relstr(skolem7, skolem9)) )).
% 0.61/0.79  cnf(t30_yellow_0-6, negated_conjecture, ( _def1 | ex_sup_of_relstr_set(skolem7, skolem9) )).
% 0.61/0.79  cnf(t30_yellow_0-7, negated_conjecture, ( _def1 | ~relstr_set_smaller(skolem7, skolem9, skolem8) | ~_def0 )).
% 0.61/0.79  cnf(t30_yellow_0-8, negated_conjecture, ( _def0 | element(skolem10, the_carrier(skolem7)) )).
% 0.61/0.79  cnf(t30_yellow_0-9, negated_conjecture, ( _def0 | relstr_set_smaller(skolem7, skolem9, skolem10) )).
% 0.61/0.79  cnf(t30_yellow_0-10, negated_conjecture, ( _def0 | ~related(skolem7, skolem8, skolem10) )).
% 0.61/0.79  cnf(t30_yellow_0-11, negated_conjecture, ( _def2(_u21) | relstr_set_smaller(skolem7, skolem9, skolem8) )).
% 0.61/0.79  cnf(t30_yellow_0-12, negated_conjecture, ( _def2(_u21) | ~element(_u21, the_carrier(skolem7)) | ~relstr_set_smaller(skolem7, skolem9, _u21) | related(skolem7, skolem8, _u21) )).
% 0.61/0.79  cnf(t30_yellow_0-13, negated_conjecture, ( _def2(_u21) | ( skolem8 != join_on_relstr(skolem7, skolem9)) | ~ex_sup_of_relstr_set(skolem7, skolem9) )).
% 0.61/0.79  
% 0.61/0.79  % Problem matrix:
% 0.61/0.79  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.61/0.79  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.61/0.79  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.61/0.79  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( the_carrier(__eqx_0) = the_carrier(__eqy_0)) )).
% 0.61/0.79  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)) )).
% 0.61/0.79  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.61/0.79  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.61/0.79  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 0.61/0.79  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.61/0.79  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~rel_str(__eqx_0) | rel_str(__eqy_0) )).
% 0.61/0.79  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.61/0.79  cnf(matrix-11, 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) )).
% 0.61/0.79  cnf(matrix-12, 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) )).
% 0.61/0.79  cnf(matrix-13, 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) )).
% 0.61/0.79  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~one_sorted_str(__eqx_0) | one_sorted_str(__eqy_0) )).
% 0.61/0.79  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~antisymmetric_relstr(__eqx_0) | antisymmetric_relstr(__eqy_0) )).
% 0.61/0.79  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~_def2(__eqx_0) | _def2(__eqy_0) )).
% 0.61/0.79  cnf(matrix-17, plain, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 != join_on_relstr(_u4, _u3)) | relstr_set_smaller(_u4, _u3, _u2) )).
% 0.61/0.79  cnf(matrix-18, plain, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 != join_on_relstr(_u4, _u3)) | ~element(_u0, the_carrier(_u4)) | ~relstr_set_smaller(_u4, _u3, _u0) | related(_u4, _u2, _u0) )).
% 0.61/0.79  cnf(matrix-19, plain, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 = join_on_relstr(_u4, _u3)) | ~relstr_set_smaller(_u4, _u3, _u2) | element(skolem1(_u4, _u3, _u2), the_carrier(_u4)) )).
% 0.61/0.79  cnf(matrix-20, plain, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 = join_on_relstr(_u4, _u3)) | ~relstr_set_smaller(_u4, _u3, _u2) | relstr_set_smaller(_u4, _u3, skolem1(_u4, _u3, _u2)) )).
% 0.61/0.79  cnf(matrix-21, plain, ( ~rel_str(_u4) | ~element(_u2, the_carrier(_u4)) | ~ex_sup_of_relstr_set(_u4, _u3) | ( _u2 = join_on_relstr(_u4, _u3)) | ~relstr_set_smaller(_u4, _u3, _u2) | ~related(_u4, _u2, skolem1(_u4, _u3, _u2)) )).
% 0.61/0.79  cnf(matrix-22, plain, ( ~rel_str(_u6) | element(join_on_relstr(_u6, _u5), the_carrier(_u6)) )).
% 0.61/0.79  cnf(matrix-23, plain, ( ~rel_str(_u7) | one_sorted_str(_u7) )).
% 0.61/0.79  cnf(matrix-24, plain, ( rel_str(skolem2) )).
% 0.61/0.79  cnf(matrix-25, plain, ( one_sorted_str(skolem3) )).
% 0.61/0.79  cnf(matrix-26, plain, ( element(skolem4(_u11), _u11) )).
% 0.61/0.79  cnf(matrix-27, plain, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ~ex_sup_of_relstr_set(_u17, _u18) | element(skolem5(_u17, _u18), the_carrier(_u17)) )).
% 0.61/0.79  cnf(matrix-28, plain, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ~ex_sup_of_relstr_set(_u17, _u18) | relstr_set_smaller(_u17, _u18, skolem5(_u17, _u18)) )).
% 0.61/0.79  cnf(matrix-29, plain, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ~ex_sup_of_relstr_set(_u17, _u18) | ~element(_u12, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u18, _u12) | related(_u17, skolem5(_u17, _u18), _u12) )).
% 0.61/0.79  cnf(matrix-30, plain, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ex_sup_of_relstr_set(_u17, _u19) | ~element(_u15, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u19, _u15) | element(skolem6(_u17, _u19, _u15), the_carrier(_u17)) )).
% 0.61/0.79  cnf(matrix-31, plain, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ex_sup_of_relstr_set(_u17, _u19) | ~element(_u15, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u19, _u15) | relstr_set_smaller(_u17, _u19, skolem6(_u17, _u19, _u15)) )).
% 0.61/0.79  cnf(matrix-32, plain, ( ~antisymmetric_relstr(_u17) | ~rel_str(_u17) | ex_sup_of_relstr_set(_u17, _u19) | ~element(_u15, the_carrier(_u17)) | ~relstr_set_smaller(_u17, _u19, _u15) | ~related(_u17, _u15, skolem6(_u17, _u19, _u15)) )).
% 0.61/0.79  cnf(matrix-33, plain, ( antisymmetric_relstr(skolem7) )).
% 0.61/0.79  cnf(matrix-34, plain, ( rel_str(skolem7) )).
% 0.61/0.79  cnf(matrix-35, plain, ( element(skolem8, the_carrier(skolem7)) )).
% 0.61/0.79  cnf(matrix-36, plain, ( ~_def1 | ~_def2(_u21) )).
% 0.61/0.79  cnf(matrix-37, plain, ( _def1 | ( skolem8 = join_on_relstr(skolem7, skolem9)) )).
% 0.61/0.79  cnf(matrix-38, plain, ( _def1 | ex_sup_of_relstr_set(skolem7, skolem9) )).
% 0.61/0.79  cnf(matrix-39, plain, ( _def1 | ~relstr_set_smaller(skolem7, skolem9, skolem8) | ~_def0 )).
% 0.61/0.79  cnf(matrix-40, plain, ( _def0 | element(skolem10, the_carrier(skolem7)) )).
% 0.61/0.79  cnf(matrix-41, plain, ( _def0 | relstr_set_smaller(skolem7, skolem9, skolem10) )).
% 0.61/0.79  cnf(matrix-42, plain, ( _def0 | ~related(skolem7, skolem8, skolem10) )).
% 0.61/0.79  cnf(matrix-43, plain, ( _def2(_u21) | relstr_set_smaller(skolem7, skolem9, skolem8) )).
% 0.61/0.79  cnf(matrix-44, plain, ( _def2(_u21) | ~element(_u21, the_carrier(skolem7)) | ~relstr_set_smaller(skolem7, skolem9, _u21) | related(skolem7, skolem8, _u21) )).
% 0.61/0.79  cnf(matrix-45, plain, ( _def2(_u21) | ( skolem8 != join_on_relstr(skolem7, skolem9)) | ~ex_sup_of_relstr_set(skolem7, skolem9) )).
% 0.61/0.79  
% 0.61/0.79  % Proof stack:
% 0.61/0.79  cnf(proof-stack, plain, 
% 0.61/0.79  proof_stack(
% 0.61/0.79  start(36), 
% 0.61/0.79  left_branch(0, 39, 0, 2), 
% 0.61/0.79  left_branch(0, 42, 0, 3), 
% 0.61/0.79  left_branch(0, 18, 6, 4), 
% 0.61/0.79  left_branch(0, 34, 0, 5), 
% 0.61/0.79  right_branch(5), 
% 0.61/0.79  left_branch(0, 41, 1, 6), 
% 0.61/0.79  reduction(0, 1), 
% 0.61/0.79  right_branch(6), 
% 0.61/0.79  left_branch(0, 40, 1, 7), 
% 0.61/0.79  reduction(0, 1), 
% 0.61/0.79  right_branch(7), 
% 0.61/0.79  left_branch(0, 37, 1, 8), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  right_branch(8), 
% 0.61/0.79  left_branch(0, 38, 1, 9), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  right_branch(9), 
% 0.61/0.79  left_branch(0, 35, 0, 10), 
% 0.61/0.79  right_branch(10), 
% 0.61/0.79  right_branch(4), 
% 0.61/0.79  right_branch(3), 
% 0.61/0.79  left_branch(0, 17, 4, 4), 
% 0.61/0.79  left_branch(0, 34, 0, 5), 
% 0.61/0.79  right_branch(5), 
% 0.61/0.79  left_branch(0, 37, 1, 6), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  right_branch(6), 
% 0.61/0.79  left_branch(0, 38, 1, 7), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  right_branch(7), 
% 0.61/0.79  left_branch(0, 35, 0, 8), 
% 0.61/0.79  right_branch(8), 
% 0.61/0.79  right_branch(4), 
% 0.61/0.79  right_branch(2), 
% 0.61/0.79  left_branch(0, 45, 0, 3), 
% 0.61/0.79  left_branch(0, 32, 2, 4), 
% 0.61/0.79  left_branch(0, 33, 0, 5), 
% 0.61/0.79  right_branch(5), 
% 0.61/0.79  left_branch(0, 43, 1, 6), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  right_branch(6), 
% 0.61/0.79  left_branch(0, 35, 0, 7), 
% 0.61/0.79  right_branch(7), 
% 0.61/0.79  left_branch(0, 44, 3, 8), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  left_branch(0, 31, 5, 10), 
% 0.61/0.79  lemmata(0, 1), 
% 0.61/0.79  lemmata(0, 2), 
% 0.61/0.79  lemmata(0, 3), 
% 0.61/0.79  reduction(0, 1), 
% 0.61/0.79  left_branch(0, 34, 0, 15), 
% 0.61/0.79  right_branch(15), 
% 0.61/0.79  right_branch(10), 
% 0.61/0.79  left_branch(0, 30, 5, 11), 
% 0.61/0.79  lemmata(0, 1), 
% 0.61/0.79  lemmata(0, 2), 
% 0.61/0.79  lemmata(0, 3), 
% 0.61/0.79  reduction(0, 1), 
% 0.61/0.79  left_branch(0, 34, 0, 16), 
% 0.61/0.79  right_branch(16), 
% 0.61/0.79  right_branch(11), 
% 0.61/0.79  right_branch(8), 
% 0.61/0.79  left_branch(0, 34, 0, 9), 
% 0.61/0.79  right_branch(9), 
% 0.61/0.79  right_branch(4), 
% 0.61/0.79  left_branch(0, 21, 3, 5), 
% 0.61/0.79  left_branch(0, 34, 0, 6), 
% 0.61/0.79  right_branch(6), 
% 0.61/0.79  left_branch(0, 43, 1, 7), 
% 0.61/0.79  reduction(0, 0), 
% 0.61/0.79  right_branch(7), 
% 0.61/0.79  left_branch(0, 44, 3, 8), 
% 0.61/0.79  left_branch(0, 36, 1, 9), 
% 0.61/0.79  lemmata(0, 0), 
% 0.61/0.79  right_branch(9), 
% 0.61/0.79  left_branch(0, 20, 5, 10), 
% 0.61/0.79  lemmata(0, 2), 
% 0.61/0.79  lemmata(0, 3), 
% 0.61/0.79  reduction(0, 1), 
% 0.61/0.79  lemmata(0, 1), 
% 0.61/0.79  left_branch(0, 35, 0, 15), 
% 0.61/0.79  right_branch(15), 
% 0.61/0.79  right_branch(10), 
% 0.61/0.79  left_branch(0, 19, 5, 11), 
% 0.61/0.79  lemmata(0, 2), 
% 0.61/0.79  lemmata(0, 3), 
% 0.61/0.79  reduction(0, 1), 
% 0.61/0.79  lemmata(0, 1), 
% 0.61/0.79  left_branch(0, 35, 0, 16), 
% 0.61/0.79  right_branch(16), 
% 0.61/0.79  right_branch(11), 
% 0.61/0.79  right_branch(8), 
% 0.61/0.79  lemmata(0, 1), 
% 0.61/0.79  left_branch(0, 35, 0, 10), 
% 0.61/0.79  right_branch(10), 
% 0.61/0.79  right_branch(5), 
% 0.61/0.79  right_branch(3)
% 0.61/0.79  )).
% 0.61/0.79  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------