TSTP Solution File: LCL652+1.001 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n002.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 14:20:49 EDT 2024

% Result   : Theorem 221.07s 221.28s
% Output   : Proof 221.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Mar 20 18:38:23 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 221.07/221.28  % SZS status Theorem for theBenchmark
% 221.07/221.28  % SZS output start Proof for theBenchmark
% 221.07/221.28  
% 221.07/221.28  % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 221.07/221.28  cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u0) | ~p4(_u0) )).
% 221.07/221.28  cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u6) | ~r1(_u6, _u3) | ~r1(_u3, _u2) | ~_def0(_u3, _u2, _u6) | ~_def1(_u6, _u4) )).
% 221.07/221.28  cnf(main-3, negated_conjecture, ( ~r1(skolem1, _u33) | ~_def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) )).
% 221.07/221.28  cnf(main-4, negated_conjecture, ( ~r1(skolem1, _u37) | ~r1(_u37, _u35) | ~r1(_u35, _u34) | p1(_u34) | ~_def13(_u37) )).
% 221.07/221.28  cnf(main-5, negated_conjecture, ( r1(skolem1, skolem19) )).
% 221.07/221.28  cnf(main-6, negated_conjecture, ( r1(skolem19, skolem20) )).
% 221.07/221.28  cnf(main-7, negated_conjecture, ( ~r1(skolem20, _u38) | p1(_u38) )).
% 221.07/221.28  cnf(main-8, negated_conjecture, ( r1(skolem19, skolem21) )).
% 221.07/221.28  cnf(main-9, negated_conjecture, ( ~p1(skolem21) )).
% 221.07/221.28  cnf(main-10, negated_conjecture, ( r1(skolem1, skolem22) )).
% 221.07/221.28  cnf(main-11, negated_conjecture, ( ~r1(skolem22, _u43) | ~_def14(_u43) )).
% 221.07/221.28  cnf(main-12, negated_conjecture, ( ~r1(skolem1, _u48) | ~r1(_u48, _u46) | ~r1(_u46, _u45) | ~p1(_u45) | ~_def15(_u48) )).
% 221.07/221.28  cnf(main-13, negated_conjecture, ( _def0(_u3, _u2, _u6) | r1(_u2, skolem2(_u6, _u3, _u2)) )).
% 221.07/221.28  cnf(main-14, negated_conjecture, ( _def0(_u3, _u2, _u6) | p1(skolem2(_u6, _u3, _u2)) )).
% 221.07/221.28  cnf(main-15, negated_conjecture, ( _def1(_u6, _u4) | r1(_u6, skolem3(_u6)) )).
% 221.07/221.28  cnf(main-16, negated_conjecture, ( _def1(_u6, _u4) | ~r1(skolem3(_u6), _u4) | ~p1(_u4) )).
% 221.07/221.28  cnf(main-17, negated_conjecture, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u9) | ~_def2(_u33, _u9) )).
% 221.07/221.28  cnf(main-18, negated_conjecture, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u15) | ~r1(_u15, _u11) | ~_def3(_u15, _u33, _u11) | ~p2(_u15) | ~r1(_u15, _u14) | ~_def4(_u12, _u15, _u33, _u14) )).
% 221.07/221.28  cnf(main-19, negated_conjecture, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u19) | ~r1(_u19, _u18) | ~_def5(_u18, _u33, _u19) | ~_def6(_u20, _u33) )).
% 221.07/221.28  cnf(main-20, negated_conjecture, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u28) | ~_def7(_u28, _u22, _u33) | ~_def9(_u26, _u28, _u33) )).
% 221.07/221.28  cnf(main-21, negated_conjecture, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~_def10(_u33) | ~_def11(_u31, _u33) )).
% 221.07/221.28  cnf(main-22, negated_conjecture, ( _def2(_u33, _u9) | r1(_u9, skolem4(_u33, _u9)) )).
% 221.07/221.28  cnf(main-23, negated_conjecture, ( _def2(_u33, _u9) | r1(skolem4(_u33, _u9), skolem5(_u33, _u9)) )).
% 221.07/221.28  cnf(main-24, negated_conjecture, ( _def2(_u33, _u9) | ~p3(skolem5(_u33, _u9)) )).
% 221.07/221.28  cnf(main-25, negated_conjecture, ( _def2(_u33, _u9) | p2(skolem4(_u33, _u9)) )).
% 221.07/221.28  cnf(main-26, negated_conjecture, ( _def3(_u15, _u33, _u11) | r1(_u11, skolem6(_u33, _u15, _u11)) )).
% 221.07/221.28  cnf(main-27, negated_conjecture, ( _def3(_u15, _u33, _u11) | ~p3(skolem6(_u33, _u15, _u11)) )).
% 221.07/221.28  cnf(main-28, negated_conjecture, ( _def3(_u15, _u33, _u11) | p2(_u11) )).
% 221.07/221.28  cnf(main-29, negated_conjecture, ( _def4(_u12, _u15, _u33, _u14) | r1(_u14, skolem7(_u33, _u15, _u14)) )).
% 221.07/221.28  cnf(main-30, negated_conjecture, ( _def4(_u12, _u15, _u33, _u14) | ~r1(skolem7(_u33, _u15, _u14), _u12) | ~p2(_u12) )).
% 221.07/221.28  cnf(main-31, negated_conjecture, ( _def5(_u18, _u33, _u19) | r1(_u18, skolem8(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(main-32, negated_conjecture, ( _def5(_u18, _u33, _u19) | r1(skolem8(_u33, _u19, _u18), skolem9(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(main-33, negated_conjecture, ( _def5(_u18, _u33, _u19) | ~p3(skolem9(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(main-34, negated_conjecture, ( _def5(_u18, _u33, _u19) | p2(skolem8(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(main-35, negated_conjecture, ( _def6(_u20, _u33) | r1(_u33, skolem10(_u33)) )).
% 221.07/221.28  cnf(main-36, negated_conjecture, ( _def6(_u20, _u33) | ~r1(skolem10(_u33), _u20) | ~p2(_u20) )).
% 221.07/221.28  cnf(main-37, negated_conjecture, ( _def7(_u28, _u22, _u33) | r1(_u28, skolem11(_u33, _u28)) )).
% 221.07/221.28  cnf(main-38, negated_conjecture, ( _def7(_u28, _u22, _u33) | ~r1(skolem11(_u33, _u28), _u22) | ~p2(_u22) )).
% 221.07/221.28  cnf(main-39, negated_conjecture, ( _def9(_u26, _u28, _u33) | r1(_u28, skolem12(_u33, _u28)) )).
% 221.07/221.28  cnf(main-40, negated_conjecture, ( _def9(_u26, _u28, _u33) | ~r1(skolem12(_u33, _u28), _u26) | ~_def8(_u26, _u28, _u33) )).
% 221.07/221.28  cnf(main-41, negated_conjecture, ( _def8(_u26, _u28, _u33) | r1(_u26, skolem13(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(main-42, negated_conjecture, ( _def8(_u26, _u28, _u33) | r1(skolem13(_u33, _u28, _u26), skolem14(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(main-43, negated_conjecture, ( _def8(_u26, _u28, _u33) | ~p3(skolem14(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(main-44, negated_conjecture, ( _def8(_u26, _u28, _u33) | p2(skolem13(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(main-45, negated_conjecture, ( _def10(_u33) | r1(_u33, skolem15(_u33)) )).
% 221.07/221.28  cnf(main-46, negated_conjecture, ( _def10(_u33) | r1(skolem15(_u33), skolem16(_u33)) )).
% 221.07/221.28  cnf(main-47, negated_conjecture, ( _def10(_u33) | ~p3(skolem16(_u33)) )).
% 221.07/221.28  cnf(main-48, negated_conjecture, ( _def10(_u33) | p2(skolem15(_u33)) )).
% 221.07/221.28  cnf(main-49, negated_conjecture, ( _def11(_u31, _u33) | r1(_u33, skolem17(_u33)) )).
% 221.07/221.28  cnf(main-50, negated_conjecture, ( _def11(_u31, _u33) | ~r1(skolem17(_u33), _u31) | ~p2(_u31) )).
% 221.07/221.28  cnf(main-51, negated_conjecture, ( _def13(_u37) | r1(_u37, skolem18(_u37)) )).
% 221.07/221.28  cnf(main-52, negated_conjecture, ( _def13(_u37) | ~p1(skolem18(_u37)) )).
% 221.07/221.28  cnf(main-53, negated_conjecture, ( _def14(_u43) | r1(_u43, skolem23(_u43)) )).
% 221.07/221.28  cnf(main-54, negated_conjecture, ( _def14(_u43) | ~p2(skolem23(_u43)) )).
% 221.07/221.28  cnf(main-55, negated_conjecture, ( _def15(_u48) | r1(_u48, skolem24(_u48)) )).
% 221.07/221.28  cnf(main-56, negated_conjecture, ( _def15(_u48) | p1(skolem24(_u48)) )).
% 221.07/221.28  
% 221.07/221.28  % Problem matrix:
% 221.07/221.28  cnf(matrix-0, plain, ( ~r1(skolem1, _u0) | ~p4(_u0) )).
% 221.07/221.28  cnf(matrix-1, plain, ( ~r1(skolem1, _u6) | ~r1(_u6, _u3) | ~r1(_u3, _u2) | ~_def0(_u3, _u2, _u6) | ~_def1(_u6, _u4) )).
% 221.07/221.28  cnf(matrix-2, plain, ( ~r1(skolem1, _u33) | ~_def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) )).
% 221.07/221.28  cnf(matrix-3, plain, ( ~r1(skolem1, _u37) | ~r1(_u37, _u35) | ~r1(_u35, _u34) | p1(_u34) | ~_def13(_u37) )).
% 221.07/221.28  cnf(matrix-4, plain, ( r1(skolem1, skolem19) )).
% 221.07/221.28  cnf(matrix-5, plain, ( r1(skolem19, skolem20) )).
% 221.07/221.28  cnf(matrix-6, plain, ( ~r1(skolem20, _u38) | p1(_u38) )).
% 221.07/221.28  cnf(matrix-7, plain, ( r1(skolem19, skolem21) )).
% 221.07/221.28  cnf(matrix-8, plain, ( ~p1(skolem21) )).
% 221.07/221.28  cnf(matrix-9, plain, ( r1(skolem1, skolem22) )).
% 221.07/221.28  cnf(matrix-10, plain, ( ~r1(skolem22, _u43) | ~_def14(_u43) )).
% 221.07/221.28  cnf(matrix-11, plain, ( ~r1(skolem1, _u48) | ~r1(_u48, _u46) | ~r1(_u46, _u45) | ~p1(_u45) | ~_def15(_u48) )).
% 221.07/221.28  cnf(matrix-12, plain, ( _def0(_u3, _u2, _u6) | r1(_u2, skolem2(_u6, _u3, _u2)) )).
% 221.07/221.28  cnf(matrix-13, plain, ( _def0(_u3, _u2, _u6) | p1(skolem2(_u6, _u3, _u2)) )).
% 221.07/221.28  cnf(matrix-14, plain, ( _def1(_u6, _u4) | r1(_u6, skolem3(_u6)) )).
% 221.07/221.28  cnf(matrix-15, plain, ( _def1(_u6, _u4) | ~r1(skolem3(_u6), _u4) | ~p1(_u4) )).
% 221.07/221.28  cnf(matrix-16, plain, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u9) | ~_def2(_u33, _u9) )).
% 221.07/221.28  cnf(matrix-17, plain, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u15) | ~r1(_u15, _u11) | ~_def3(_u15, _u33, _u11) | ~p2(_u15) | ~r1(_u15, _u14) | ~_def4(_u12, _u15, _u33, _u14) )).
% 221.07/221.28  cnf(matrix-18, plain, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u19) | ~r1(_u19, _u18) | ~_def5(_u18, _u33, _u19) | ~_def6(_u20, _u33) )).
% 221.07/221.28  cnf(matrix-19, plain, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~r1(_u33, _u28) | ~_def7(_u28, _u22, _u33) | ~_def9(_u26, _u28, _u33) )).
% 221.07/221.28  cnf(matrix-20, plain, ( _def12(_u12, _u26, _u15, _u28, _u18, _u20, _u22, _u31, _u33, _u19, _u11, _u14, _u9) | ~_def10(_u33) | ~_def11(_u31, _u33) )).
% 221.07/221.28  cnf(matrix-21, plain, ( _def2(_u33, _u9) | r1(_u9, skolem4(_u33, _u9)) )).
% 221.07/221.28  cnf(matrix-22, plain, ( _def2(_u33, _u9) | r1(skolem4(_u33, _u9), skolem5(_u33, _u9)) )).
% 221.07/221.28  cnf(matrix-23, plain, ( _def2(_u33, _u9) | ~p3(skolem5(_u33, _u9)) )).
% 221.07/221.28  cnf(matrix-24, plain, ( _def2(_u33, _u9) | p2(skolem4(_u33, _u9)) )).
% 221.07/221.28  cnf(matrix-25, plain, ( _def3(_u15, _u33, _u11) | r1(_u11, skolem6(_u33, _u15, _u11)) )).
% 221.07/221.28  cnf(matrix-26, plain, ( _def3(_u15, _u33, _u11) | ~p3(skolem6(_u33, _u15, _u11)) )).
% 221.07/221.28  cnf(matrix-27, plain, ( _def3(_u15, _u33, _u11) | p2(_u11) )).
% 221.07/221.28  cnf(matrix-28, plain, ( _def4(_u12, _u15, _u33, _u14) | r1(_u14, skolem7(_u33, _u15, _u14)) )).
% 221.07/221.28  cnf(matrix-29, plain, ( _def4(_u12, _u15, _u33, _u14) | ~r1(skolem7(_u33, _u15, _u14), _u12) | ~p2(_u12) )).
% 221.07/221.28  cnf(matrix-30, plain, ( _def5(_u18, _u33, _u19) | r1(_u18, skolem8(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(matrix-31, plain, ( _def5(_u18, _u33, _u19) | r1(skolem8(_u33, _u19, _u18), skolem9(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(matrix-32, plain, ( _def5(_u18, _u33, _u19) | ~p3(skolem9(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(matrix-33, plain, ( _def5(_u18, _u33, _u19) | p2(skolem8(_u33, _u19, _u18)) )).
% 221.07/221.28  cnf(matrix-34, plain, ( _def6(_u20, _u33) | r1(_u33, skolem10(_u33)) )).
% 221.07/221.28  cnf(matrix-35, plain, ( _def6(_u20, _u33) | ~r1(skolem10(_u33), _u20) | ~p2(_u20) )).
% 221.07/221.28  cnf(matrix-36, plain, ( _def7(_u28, _u22, _u33) | r1(_u28, skolem11(_u33, _u28)) )).
% 221.07/221.28  cnf(matrix-37, plain, ( _def7(_u28, _u22, _u33) | ~r1(skolem11(_u33, _u28), _u22) | ~p2(_u22) )).
% 221.07/221.28  cnf(matrix-38, plain, ( _def9(_u26, _u28, _u33) | r1(_u28, skolem12(_u33, _u28)) )).
% 221.07/221.28  cnf(matrix-39, plain, ( _def9(_u26, _u28, _u33) | ~r1(skolem12(_u33, _u28), _u26) | ~_def8(_u26, _u28, _u33) )).
% 221.07/221.28  cnf(matrix-40, plain, ( _def8(_u26, _u28, _u33) | r1(_u26, skolem13(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(matrix-41, plain, ( _def8(_u26, _u28, _u33) | r1(skolem13(_u33, _u28, _u26), skolem14(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(matrix-42, plain, ( _def8(_u26, _u28, _u33) | ~p3(skolem14(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(matrix-43, plain, ( _def8(_u26, _u28, _u33) | p2(skolem13(_u33, _u28, _u26)) )).
% 221.07/221.28  cnf(matrix-44, plain, ( _def10(_u33) | r1(_u33, skolem15(_u33)) )).
% 221.07/221.28  cnf(matrix-45, plain, ( _def10(_u33) | r1(skolem15(_u33), skolem16(_u33)) )).
% 221.07/221.28  cnf(matrix-46, plain, ( _def10(_u33) | ~p3(skolem16(_u33)) )).
% 221.07/221.28  cnf(matrix-47, plain, ( _def10(_u33) | p2(skolem15(_u33)) )).
% 221.07/221.28  cnf(matrix-48, plain, ( _def11(_u31, _u33) | r1(_u33, skolem17(_u33)) )).
% 221.07/221.28  cnf(matrix-49, plain, ( _def11(_u31, _u33) | ~r1(skolem17(_u33), _u31) | ~p2(_u31) )).
% 221.07/221.28  cnf(matrix-50, plain, ( _def13(_u37) | r1(_u37, skolem18(_u37)) )).
% 221.07/221.28  cnf(matrix-51, plain, ( _def13(_u37) | ~p1(skolem18(_u37)) )).
% 221.07/221.28  cnf(matrix-52, plain, ( _def14(_u43) | r1(_u43, skolem23(_u43)) )).
% 221.07/221.28  cnf(matrix-53, plain, ( _def14(_u43) | ~p2(skolem23(_u43)) )).
% 221.07/221.28  cnf(matrix-54, plain, ( _def15(_u48) | r1(_u48, skolem24(_u48)) )).
% 221.07/221.28  cnf(matrix-55, plain, ( _def15(_u48) | p1(skolem24(_u48)) )).
% 221.07/221.28  
% 221.07/221.28  % Proof stack:
% 221.07/221.28  cnf(proof-stack, plain, 
% 221.07/221.28  proof_stack(
% 221.07/221.28  start(44), 
% 221.07/221.28  left_branch(0, 20, 1, 2), 
% 221.07/221.28  left_branch(0, 2, 1, 3), 
% 221.07/221.28  left_branch(0, 9, 0, 4), 
% 221.07/221.28  right_branch(4), 
% 221.07/221.28  right_branch(3), 
% 221.07/221.28  left_branch(0, 48, 0, 4), 
% 221.07/221.28  left_branch(0, 16, 1, 5), 
% 221.07/221.28  left_branch(0, 2, 1, 6), 
% 221.07/221.28  left_branch(0, 9, 0, 7), 
% 221.07/221.28  right_branch(7), 
% 221.07/221.28  right_branch(6), 
% 221.07/221.28  left_branch(0, 24, 0, 7), 
% 221.07/221.28  left_branch(0, 49, 2, 8), 
% 221.07/221.28  reduction(0, 1), 
% 221.07/221.28  left_branch(0, 21, 1, 10), 
% 221.07/221.28  reduction(0, 3), 
% 221.07/221.28  right_branch(10), 
% 221.07/221.28  right_branch(8), 
% 221.07/221.28  right_branch(7), 
% 221.07/221.28  right_branch(5), 
% 221.07/221.28  right_branch(4), 
% 221.07/221.28  right_branch(2), 
% 221.07/221.28  left_branch(0, 19, 1, 3), 
% 221.07/221.28  left_branch(0, 2, 1, 4), 
% 221.07/221.28  left_branch(0, 9, 0, 5), 
% 221.07/221.28  right_branch(5), 
% 221.07/221.28  right_branch(4), 
% 221.07/221.28  left_branch(0, 36, 0, 5), 
% 221.07/221.28  left_branch(0, 18, 2, 6), 
% 221.07/221.28  left_branch(0, 2, 1, 7), 
% 221.07/221.28  left_branch(0, 9, 0, 8), 
% 221.07/221.28  right_branch(8), 
% 221.07/221.28  right_branch(7), 
% 221.07/221.28  left_branch(0, 33, 0, 8), 
% 221.07/221.28  left_branch(0, 37, 2, 9), 
% 221.07/221.28  reduction(0, 1), 
% 221.07/221.28  left_branch(0, 30, 1, 11), 
% 221.07/221.28  reduction(0, 3), 
% 221.07/221.28  right_branch(11), 
% 221.07/221.28  right_branch(9), 
% 221.07/221.28  right_branch(8), 
% 221.07/221.28  left_branch(0, 34, 0, 9), 
% 221.07/221.28  left_branch(0, 16, 1, 10), 
% 221.07/221.28  left_branch(0, 2, 1, 11), 
% 221.07/221.28  left_branch(0, 9, 0, 12), 
% 221.07/221.28  right_branch(12), 
% 221.07/221.28  right_branch(11), 
% 221.07/221.28  left_branch(0, 24, 0, 12), 
% 221.07/221.28  left_branch(0, 35, 2, 13), 
% 221.07/221.28  reduction(0, 3), 
% 221.07/221.28  left_branch(0, 21, 1, 15), 
% 221.07/221.28  reduction(0, 5), 
% 221.07/221.28  right_branch(15), 
% 221.07/221.28  right_branch(13), 
% 221.07/221.28  right_branch(12), 
% 221.07/221.28  right_branch(10), 
% 221.07/221.28  right_branch(9), 
% 221.07/221.28  reduction(0, 0), 
% 221.07/221.28  right_branch(6), 
% 221.07/221.28  right_branch(5), 
% 221.07/221.28  left_branch(0, 38, 0, 6), 
% 221.07/221.28  left_branch(0, 17, 5, 7), 
% 221.07/221.28  left_branch(0, 2, 1, 8), 
% 221.07/221.28  left_branch(0, 9, 0, 9), 
% 221.07/221.28  right_branch(9), 
% 221.07/221.28  right_branch(8), 
% 221.07/221.28  left_branch(0, 29, 0, 9), 
% 221.07/221.28  left_branch(0, 43, 1, 10), 
% 221.07/221.28  left_branch(0, 39, 2, 11), 
% 221.07/221.28  reduction(0, 1), 
% 221.07/221.28  left_branch(0, 28, 1, 13), 
% 221.07/221.28  reduction(0, 3), 
% 221.07/221.28  right_branch(13), 
% 221.07/221.28  right_branch(11), 
% 221.07/221.28  right_branch(10), 
% 221.07/221.28  left_branch(0, 40, 1, 11), 
% 221.07/221.28  left_branch(0, 39, 2, 12), 
% 221.07/221.28  reduction(0, 1), 
% 221.07/221.28  left_branch(0, 28, 1, 14), 
% 221.07/221.28  reduction(0, 3), 
% 221.07/221.28  right_branch(14), 
% 221.07/221.28  right_branch(12), 
% 221.07/221.28  right_branch(11), 
% 221.07/221.28  right_branch(9), 
% 221.07/221.28  left_branch(0, 47, 1, 10), 
% 221.07/221.28  lemmata(0, 0), 
% 221.07/221.28  right_branch(10), 
% 221.07/221.28  left_branch(0, 27, 0, 11), 
% 221.07/221.28  left_branch(0, 53, 1, 12), 
% 221.07/221.28  left_branch(0, 10, 1, 13), 
% 221.07/221.28  reduction(0, 0), 
% 221.07/221.28  right_branch(13), 
% 221.07/221.28  right_branch(12), 
% 221.07/221.28  right_branch(11), 
% 221.07/221.28  left_branch(0, 52, 1, 12), 
% 221.07/221.28  left_branch(0, 10, 1, 13), 
% 221.07/221.28  reduction(0, 0), 
% 221.07/221.28  right_branch(13), 
% 221.07/221.28  right_branch(12), 
% 221.07/221.28  reduction(0, 0), 
% 221.07/221.28  right_branch(7), 
% 221.07/221.28  right_branch(6), 
% 221.07/221.28  right_branch(3)
% 221.07/221.28  )).
% 221.07/221.28  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------