TSTP Solution File: SYO605+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n003.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 14:44:58 EDT 2024
% Result : Theorem 1.61s 1.77s
% Output : Proof 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n003.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 20:53:34 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.61/1.77 % SZS status Theorem for theBenchmark
% 1.61/1.77 % SZS output start Proof for theBenchmark
% 1.61/1.77
% 1.61/1.77 % Formula: nc4 ( conjecture ) (definitionally) converted to clauses:
% 1.61/1.77 cnf(nc4-1, negated_conjecture, ( ~g_true_only(_u0, skolem1) | ~_def0(_u0) )).
% 1.61/1.77 cnf(nc4-2, negated_conjecture, ( ~g_both(_u0, skolem1) | ~_def1(_u0) )).
% 1.61/1.77 cnf(nc4-3, negated_conjecture, ( ~g_false_only(_u0, skolem1) | ~_def2(_u0) )).
% 1.61/1.77 cnf(nc4-4, negated_conjecture, ( ~g_true_only(_u2, skolem2(_u4)) | ~_def3(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-5, negated_conjecture, ( ~g_both(_u2, skolem2(_u4)) | ~_def4(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-6, negated_conjecture, ( ~g_false_only(_u2, skolem2(_u4)) | ~_def5(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-7, negated_conjecture, ( ~g_both(_u5, _u7) | ~g_both(_u5, _u5) | ~_def6(_u7) | ~_def7(_u7) | ~_def8(_u7) | ~_def9(_u8) | ~_def10(_u8) | ~g_both(_u10, _u12) | ~g_both(_u10, _u15) | ~_def11(_u15, _u12) | ~_def12(_u15, _u12) | ~_def13(_u15, _u12) | ~_def14(_u13, _u15) | ~_def15(_u13, _u15) | ~_def16(_u17) | ~_def17(_u17) | ~_def18(_u17) )).
% 1.61/1.77 cnf(nc4-8, negated_conjecture, ( _def0(_u0) | ~g_both(_u0, _u0) )).
% 1.61/1.77 cnf(nc4-9, negated_conjecture, ( _def0(_u0) | ~g_false_only(_u0, _u0) )).
% 1.61/1.77 cnf(nc4-10, negated_conjecture, ( _def1(_u0) | ~g_true_only(_u0, _u0) )).
% 1.61/1.77 cnf(nc4-11, negated_conjecture, ( _def1(_u0) | ~g_false_only(_u0, _u0) )).
% 1.61/1.77 cnf(nc4-12, negated_conjecture, ( _def2(_u0) | ~g_true_only(_u0, _u0) )).
% 1.61/1.77 cnf(nc4-13, negated_conjecture, ( _def2(_u0) | ~g_both(_u0, _u0) )).
% 1.61/1.77 cnf(nc4-14, negated_conjecture, ( _def3(_u2, _u4) | ~g_both(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-15, negated_conjecture, ( _def3(_u2, _u4) | ~g_true_only(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-16, negated_conjecture, ( _def4(_u2, _u4) | ~g_false_only(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-17, negated_conjecture, ( _def4(_u2, _u4) | ~g_true_only(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-18, negated_conjecture, ( _def5(_u2, _u4) | ~g_false_only(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-19, negated_conjecture, ( _def5(_u2, _u4) | ~g_both(_u2, _u4) )).
% 1.61/1.77 cnf(nc4-20, negated_conjecture, ( _def6(_u7) | g_true_only(skolem3(_u7), _u7) )).
% 1.61/1.77 cnf(nc4-21, negated_conjecture, ( _def6(_u7) | g_both(skolem3(_u7), skolem3(_u7)) | g_false_only(skolem3(_u7), skolem3(_u7)) )).
% 1.61/1.77 cnf(nc4-22, negated_conjecture, ( _def7(_u7) | g_both(skolem3(_u7), _u7) )).
% 1.61/1.77 cnf(nc4-23, negated_conjecture, ( _def7(_u7) | g_true_only(skolem3(_u7), skolem3(_u7)) | g_false_only(skolem3(_u7), skolem3(_u7)) )).
% 1.61/1.77 cnf(nc4-24, negated_conjecture, ( _def8(_u7) | g_false_only(skolem3(_u7), _u7) )).
% 1.61/1.77 cnf(nc4-25, negated_conjecture, ( _def8(_u7) | g_true_only(skolem3(_u7), skolem3(_u7)) | g_both(skolem3(_u7), skolem3(_u7)) )).
% 1.61/1.77 cnf(nc4-26, negated_conjecture, ( _def9(_u8) | g_true_only(_u8, skolem4) )).
% 1.61/1.77 cnf(nc4-27, negated_conjecture, ( _def9(_u8) | g_true_only(_u8, _u8) )).
% 1.61/1.77 cnf(nc4-28, negated_conjecture, ( _def10(_u8) | g_false_only(_u8, skolem4) )).
% 1.61/1.77 cnf(nc4-29, negated_conjecture, ( _def10(_u8) | g_false_only(_u8, _u8) )).
% 1.61/1.77 cnf(nc4-30, negated_conjecture, ( _def11(_u15, _u12) | g_true_only(skolem5(_u15, _u12), _u12) )).
% 1.61/1.77 cnf(nc4-31, negated_conjecture, ( _def11(_u15, _u12) | g_both(skolem5(_u15, _u12), _u15) | g_true_only(skolem5(_u15, _u12), _u15) )).
% 1.61/1.77 cnf(nc4-32, negated_conjecture, ( _def12(_u15, _u12) | g_both(skolem5(_u15, _u12), _u12) )).
% 1.61/1.77 cnf(nc4-33, negated_conjecture, ( _def12(_u15, _u12) | g_false_only(skolem5(_u15, _u12), _u15) | g_true_only(skolem5(_u15, _u12), _u15) )).
% 1.61/1.77 cnf(nc4-34, negated_conjecture, ( _def13(_u15, _u12) | g_false_only(skolem5(_u15, _u12), _u12) )).
% 1.61/1.77 cnf(nc4-35, negated_conjecture, ( _def13(_u15, _u12) | g_false_only(skolem5(_u15, _u12), _u15) | g_both(skolem5(_u15, _u12), _u15) )).
% 1.61/1.77 cnf(nc4-36, negated_conjecture, ( _def14(_u13, _u15) | g_true_only(_u13, skolem6(_u15)) )).
% 1.61/1.77 cnf(nc4-37, negated_conjecture, ( _def14(_u13, _u15) | g_false_only(_u13, _u15) )).
% 1.61/1.77 cnf(nc4-38, negated_conjecture, ( _def15(_u13, _u15) | g_false_only(_u13, skolem6(_u15)) )).
% 1.61/1.77 cnf(nc4-39, negated_conjecture, ( _def15(_u13, _u15) | g_true_only(_u13, _u15) )).
% 1.61/1.77 cnf(nc4-40, negated_conjecture, ( _def16(_u17) | g_true_only(skolem8(_u17), _u17) )).
% 1.61/1.77 cnf(nc4-41, negated_conjecture, ( _def16(_u17) | g_both(skolem8(_u17), skolem7) | g_true_only(skolem8(_u17), skolem7) )).
% 1.61/1.77 cnf(nc4-42, negated_conjecture, ( _def17(_u17) | g_both(skolem8(_u17), _u17) )).
% 1.61/1.77 cnf(nc4-43, negated_conjecture, ( _def17(_u17) | g_false_only(skolem8(_u17), skolem7) | g_true_only(skolem8(_u17), skolem7) )).
% 1.61/1.77 cnf(nc4-44, negated_conjecture, ( _def18(_u17) | g_false_only(skolem8(_u17), _u17) )).
% 1.61/1.77 cnf(nc4-45, negated_conjecture, ( _def18(_u17) | g_false_only(skolem8(_u17), skolem7) | g_both(skolem8(_u17), skolem7) )).
% 1.61/1.77
% 1.61/1.77 % Formula: true_only_g ( axiom ) converted to clauses:
% 1.61/1.77 cnf(true_only_g-1, axiom, ( ~g_true_only(_u23, _u21) | g_true(_u23, _u21) )).
% 1.61/1.77 cnf(true_only_g-2, axiom, ( ~g_true_only(_u23, _u21) | ~g_false(_u23, _u21) )).
% 1.61/1.77 cnf(true_only_g-3, axiom, ( ~g_true(_u24, _u22) | g_false(_u24, _u22) | g_true_only(_u24, _u22) )).
% 1.61/1.77
% 1.61/1.77 % Formula: both_g ( axiom ) converted to clauses:
% 1.61/1.77 cnf(both_g-1, axiom, ( ~g_both(_u29, _u27) | g_true(_u29, _u27) )).
% 1.61/1.77 cnf(both_g-2, axiom, ( ~g_both(_u29, _u27) | g_false(_u29, _u27) )).
% 1.61/1.77 cnf(both_g-3, axiom, ( ~g_true(_u30, _u28) | ~g_false(_u30, _u28) | g_both(_u30, _u28) )).
% 1.61/1.77
% 1.61/1.77 % Formula: false_only_g ( axiom ) converted to clauses:
% 1.61/1.77 cnf(false_only_g-1, axiom, ( ~g_false_only(_u35, _u33) | g_false(_u35, _u33) )).
% 1.61/1.77 cnf(false_only_g-2, axiom, ( ~g_false_only(_u35, _u33) | ~g_true(_u35, _u33) )).
% 1.61/1.77 cnf(false_only_g-3, axiom, ( ~g_false(_u36, _u34) | g_true(_u36, _u34) | g_false_only(_u36, _u34) )).
% 1.61/1.77
% 1.61/1.77 % Formula: exhaustion_g ( axiom ) converted to clauses:
% 1.61/1.77 cnf(exhaustion_g-1, axiom, ( g_true_only(_u38, _u37) | g_both(_u38, _u37) | g_false_only(_u38, _u37) )).
% 1.61/1.77
% 1.61/1.77 % Problem matrix:
% 1.61/1.77 cnf(matrix-0, plain, ( ~g_true_only(_u0, skolem1) | ~_def0(_u0) )).
% 1.61/1.77 cnf(matrix-1, plain, ( ~g_both(_u0, skolem1) | ~_def1(_u0) )).
% 1.61/1.77 cnf(matrix-2, plain, ( ~g_false_only(_u0, skolem1) | ~_def2(_u0) )).
% 1.61/1.77 cnf(matrix-3, plain, ( ~g_true_only(_u2, skolem2(_u4)) | ~_def3(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-4, plain, ( ~g_both(_u2, skolem2(_u4)) | ~_def4(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-5, plain, ( ~g_false_only(_u2, skolem2(_u4)) | ~_def5(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-6, plain, ( ~g_both(_u5, _u7) | ~g_both(_u5, _u5) | ~_def6(_u7) | ~_def7(_u7) | ~_def8(_u7) | ~_def9(_u8) | ~_def10(_u8) | ~g_both(_u10, _u12) | ~g_both(_u10, _u15) | ~_def11(_u15, _u12) | ~_def12(_u15, _u12) | ~_def13(_u15, _u12) | ~_def14(_u13, _u15) | ~_def15(_u13, _u15) | ~_def16(_u17) | ~_def17(_u17) | ~_def18(_u17) )).
% 1.61/1.77 cnf(matrix-7, plain, ( _def0(_u0) | ~g_both(_u0, _u0) )).
% 1.61/1.77 cnf(matrix-8, plain, ( _def0(_u0) | ~g_false_only(_u0, _u0) )).
% 1.61/1.77 cnf(matrix-9, plain, ( _def1(_u0) | ~g_true_only(_u0, _u0) )).
% 1.61/1.77 cnf(matrix-10, plain, ( _def1(_u0) | ~g_false_only(_u0, _u0) )).
% 1.61/1.77 cnf(matrix-11, plain, ( _def2(_u0) | ~g_true_only(_u0, _u0) )).
% 1.61/1.77 cnf(matrix-12, plain, ( _def2(_u0) | ~g_both(_u0, _u0) )).
% 1.61/1.77 cnf(matrix-13, plain, ( _def3(_u2, _u4) | ~g_both(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-14, plain, ( _def3(_u2, _u4) | ~g_true_only(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-15, plain, ( _def4(_u2, _u4) | ~g_false_only(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-16, plain, ( _def4(_u2, _u4) | ~g_true_only(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-17, plain, ( _def5(_u2, _u4) | ~g_false_only(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-18, plain, ( _def5(_u2, _u4) | ~g_both(_u2, _u4) )).
% 1.61/1.77 cnf(matrix-19, plain, ( _def6(_u7) | g_true_only(skolem3(_u7), _u7) )).
% 1.61/1.77 cnf(matrix-20, plain, ( _def6(_u7) | g_both(skolem3(_u7), skolem3(_u7)) | g_false_only(skolem3(_u7), skolem3(_u7)) )).
% 1.61/1.77 cnf(matrix-21, plain, ( _def7(_u7) | g_both(skolem3(_u7), _u7) )).
% 1.61/1.77 cnf(matrix-22, plain, ( _def7(_u7) | g_true_only(skolem3(_u7), skolem3(_u7)) | g_false_only(skolem3(_u7), skolem3(_u7)) )).
% 1.61/1.77 cnf(matrix-23, plain, ( _def8(_u7) | g_false_only(skolem3(_u7), _u7) )).
% 1.61/1.77 cnf(matrix-24, plain, ( _def8(_u7) | g_true_only(skolem3(_u7), skolem3(_u7)) | g_both(skolem3(_u7), skolem3(_u7)) )).
% 1.61/1.77 cnf(matrix-25, plain, ( _def9(_u8) | g_true_only(_u8, skolem4) )).
% 1.61/1.77 cnf(matrix-26, plain, ( _def9(_u8) | g_true_only(_u8, _u8) )).
% 1.61/1.77 cnf(matrix-27, plain, ( _def10(_u8) | g_false_only(_u8, skolem4) )).
% 1.61/1.77 cnf(matrix-28, plain, ( _def10(_u8) | g_false_only(_u8, _u8) )).
% 1.61/1.77 cnf(matrix-29, plain, ( _def11(_u15, _u12) | g_true_only(skolem5(_u15, _u12), _u12) )).
% 1.61/1.77 cnf(matrix-30, plain, ( _def11(_u15, _u12) | g_both(skolem5(_u15, _u12), _u15) | g_true_only(skolem5(_u15, _u12), _u15) )).
% 1.61/1.77 cnf(matrix-31, plain, ( _def12(_u15, _u12) | g_both(skolem5(_u15, _u12), _u12) )).
% 1.61/1.77 cnf(matrix-32, plain, ( _def12(_u15, _u12) | g_false_only(skolem5(_u15, _u12), _u15) | g_true_only(skolem5(_u15, _u12), _u15) )).
% 1.61/1.77 cnf(matrix-33, plain, ( _def13(_u15, _u12) | g_false_only(skolem5(_u15, _u12), _u12) )).
% 1.61/1.77 cnf(matrix-34, plain, ( _def13(_u15, _u12) | g_false_only(skolem5(_u15, _u12), _u15) | g_both(skolem5(_u15, _u12), _u15) )).
% 1.61/1.77 cnf(matrix-35, plain, ( _def14(_u13, _u15) | g_true_only(_u13, skolem6(_u15)) )).
% 1.61/1.77 cnf(matrix-36, plain, ( _def14(_u13, _u15) | g_false_only(_u13, _u15) )).
% 1.61/1.77 cnf(matrix-37, plain, ( _def15(_u13, _u15) | g_false_only(_u13, skolem6(_u15)) )).
% 1.61/1.77 cnf(matrix-38, plain, ( _def15(_u13, _u15) | g_true_only(_u13, _u15) )).
% 1.61/1.77 cnf(matrix-39, plain, ( _def16(_u17) | g_true_only(skolem8(_u17), _u17) )).
% 1.61/1.77 cnf(matrix-40, plain, ( _def16(_u17) | g_both(skolem8(_u17), skolem7) | g_true_only(skolem8(_u17), skolem7) )).
% 1.61/1.77 cnf(matrix-41, plain, ( _def17(_u17) | g_both(skolem8(_u17), _u17) )).
% 1.61/1.77 cnf(matrix-42, plain, ( _def17(_u17) | g_false_only(skolem8(_u17), skolem7) | g_true_only(skolem8(_u17), skolem7) )).
% 1.61/1.77 cnf(matrix-43, plain, ( _def18(_u17) | g_false_only(skolem8(_u17), _u17) )).
% 1.61/1.77 cnf(matrix-44, plain, ( _def18(_u17) | g_false_only(skolem8(_u17), skolem7) | g_both(skolem8(_u17), skolem7) )).
% 1.61/1.77 cnf(matrix-45, plain, ( ~g_true_only(_u23, _u21) | g_true(_u23, _u21) )).
% 1.61/1.77 cnf(matrix-46, plain, ( ~g_true_only(_u23, _u21) | ~g_false(_u23, _u21) )).
% 1.61/1.77 cnf(matrix-47, plain, ( ~g_true(_u24, _u22) | g_false(_u24, _u22) | g_true_only(_u24, _u22) )).
% 1.61/1.77 cnf(matrix-48, plain, ( ~g_both(_u29, _u27) | g_true(_u29, _u27) )).
% 1.61/1.77 cnf(matrix-49, plain, ( ~g_both(_u29, _u27) | g_false(_u29, _u27) )).
% 1.61/1.77 cnf(matrix-50, plain, ( ~g_true(_u30, _u28) | ~g_false(_u30, _u28) | g_both(_u30, _u28) )).
% 1.61/1.77 cnf(matrix-51, plain, ( ~g_false_only(_u35, _u33) | g_false(_u35, _u33) )).
% 1.61/1.77 cnf(matrix-52, plain, ( ~g_false_only(_u35, _u33) | ~g_true(_u35, _u33) )).
% 1.61/1.77 cnf(matrix-53, plain, ( ~g_false(_u36, _u34) | g_true(_u36, _u34) | g_false_only(_u36, _u34) )).
% 1.61/1.77 cnf(matrix-54, plain, ( g_true_only(_u38, _u37) | g_both(_u38, _u37) | g_false_only(_u38, _u37) )).
% 1.61/1.77
% 1.61/1.77 % Proof stack:
% 1.61/1.77 cnf(proof-stack, plain,
% 1.61/1.77 proof_stack(
% 1.61/1.77 start(0),
% 1.61/1.77 left_branch(0, 54, 0, 2),
% 1.61/1.77 left_branch(0, 17, 1, 3),
% 1.61/1.77 left_branch(0, 5, 1, 4),
% 1.61/1.77 left_branch(0, 54, 2, 5),
% 1.61/1.77 left_branch(0, 11, 1, 6),
% 1.61/1.77 left_branch(0, 2, 1, 7),
% 1.61/1.77 reduction(0, 1),
% 1.61/1.77 right_branch(7),
% 1.61/1.77 right_branch(6),
% 1.61/1.77 left_branch(0, 12, 1, 7),
% 1.61/1.77 left_branch(0, 2, 1, 8),
% 1.61/1.77 reduction(0, 1),
% 1.61/1.77 right_branch(8),
% 1.61/1.77 right_branch(7),
% 1.61/1.77 right_branch(5),
% 1.61/1.77 right_branch(4),
% 1.61/1.77 right_branch(3),
% 1.61/1.77 left_branch(0, 6, 8, 4),
% 1.61/1.77 reduction(0, 1),
% 1.61/1.77 left_branch(0, 42, 0, 6),
% 1.61/1.77 left_branch(0, 16, 1, 7),
% 1.61/1.77 left_branch(0, 4, 1, 8),
% 1.61/1.77 left_branch(0, 41, 1, 9),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(9),
% 1.61/1.77 right_branch(8),
% 1.61/1.77 right_branch(7),
% 1.61/1.77 left_branch(0, 15, 1, 8),
% 1.61/1.77 left_branch(0, 4, 1, 9),
% 1.61/1.77 left_branch(0, 41, 1, 10),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(10),
% 1.61/1.77 right_branch(9),
% 1.61/1.77 right_branch(8),
% 1.61/1.77 right_branch(6),
% 1.61/1.77 left_branch(0, 40, 0, 7),
% 1.61/1.77 left_branch(0, 14, 1, 8),
% 1.61/1.77 left_branch(0, 3, 1, 9),
% 1.61/1.77 left_branch(0, 39, 1, 10),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(10),
% 1.61/1.77 right_branch(9),
% 1.61/1.77 right_branch(8),
% 1.61/1.77 left_branch(0, 13, 1, 9),
% 1.61/1.77 left_branch(0, 3, 1, 10),
% 1.61/1.77 left_branch(0, 39, 1, 11),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(11),
% 1.61/1.77 right_branch(10),
% 1.61/1.77 right_branch(9),
% 1.61/1.77 right_branch(7),
% 1.61/1.77 left_branch(0, 38, 0, 8),
% 1.61/1.77 reduction(0, 0),
% 1.61/1.77 right_branch(8),
% 1.61/1.77 left_branch(0, 36, 0, 9),
% 1.61/1.77 lemmata(0, 0),
% 1.61/1.77 right_branch(9),
% 1.61/1.77 left_branch(0, 34, 0, 10),
% 1.61/1.77 left_branch(0, 18, 1, 11),
% 1.61/1.77 left_branch(0, 5, 1, 12),
% 1.61/1.77 left_branch(0, 33, 1, 13),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(13),
% 1.61/1.77 right_branch(12),
% 1.61/1.77 right_branch(11),
% 1.61/1.77 left_branch(0, 17, 1, 12),
% 1.61/1.77 left_branch(0, 5, 1, 13),
% 1.61/1.77 left_branch(0, 33, 1, 14),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 right_branch(13),
% 1.61/1.77 right_branch(12),
% 1.61/1.77 right_branch(10),
% 1.61/1.77 left_branch(0, 32, 0, 11),
% 1.61/1.77 left_branch(0, 16, 1, 12),
% 1.61/1.77 left_branch(0, 4, 1, 13),
% 1.61/1.77 left_branch(0, 31, 1, 14),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 right_branch(13),
% 1.61/1.77 right_branch(12),
% 1.61/1.77 left_branch(0, 15, 1, 13),
% 1.61/1.77 left_branch(0, 4, 1, 14),
% 1.61/1.77 left_branch(0, 31, 1, 15),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 right_branch(13),
% 1.61/1.77 right_branch(11),
% 1.61/1.77 left_branch(0, 30, 0, 12),
% 1.61/1.77 left_branch(0, 14, 1, 13),
% 1.61/1.77 left_branch(0, 3, 1, 14),
% 1.61/1.77 left_branch(0, 29, 1, 15),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 right_branch(13),
% 1.61/1.77 left_branch(0, 13, 1, 14),
% 1.61/1.77 left_branch(0, 3, 1, 15),
% 1.61/1.77 left_branch(0, 29, 1, 16),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 right_branch(12),
% 1.61/1.77 left_branch(0, 44, 0, 13),
% 1.61/1.77 left_branch(0, 18, 1, 14),
% 1.61/1.77 left_branch(0, 5, 1, 15),
% 1.61/1.77 left_branch(0, 43, 1, 16),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 left_branch(0, 17, 1, 15),
% 1.61/1.77 left_branch(0, 5, 1, 16),
% 1.61/1.77 left_branch(0, 43, 1, 17),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(17),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 right_branch(13),
% 1.61/1.77 left_branch(0, 54, 1, 14),
% 1.61/1.77 left_branch(0, 9, 1, 15),
% 1.61/1.77 left_branch(0, 1, 1, 16),
% 1.61/1.77 lemmata(0, 1),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 left_branch(0, 10, 1, 16),
% 1.61/1.77 left_branch(0, 1, 1, 17),
% 1.61/1.77 lemmata(0, 1),
% 1.61/1.77 right_branch(17),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 right_branch(14),
% 1.61/1.77 left_branch(0, 28, 0, 15),
% 1.61/1.77 left_branch(0, 10, 1, 16),
% 1.61/1.77 left_branch(0, 1, 1, 17),
% 1.61/1.77 reduction(0, 1),
% 1.61/1.77 right_branch(17),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 right_branch(15),
% 1.61/1.77 left_branch(0, 26, 0, 16),
% 1.61/1.77 left_branch(0, 46, 0, 17),
% 1.61/1.77 left_branch(0, 49, 1, 18),
% 1.61/1.77 lemmata(0, 10),
% 1.61/1.77 right_branch(18),
% 1.61/1.77 right_branch(17),
% 1.61/1.77 right_branch(16),
% 1.61/1.77 left_branch(0, 24, 0, 17),
% 1.61/1.77 left_branch(0, 12, 1, 18),
% 1.61/1.77 left_branch(0, 2, 1, 19),
% 1.61/1.77 left_branch(0, 23, 1, 20),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(20),
% 1.61/1.77 right_branch(19),
% 1.61/1.77 right_branch(18),
% 1.61/1.77 left_branch(0, 11, 1, 19),
% 1.61/1.77 left_branch(0, 2, 1, 20),
% 1.61/1.77 left_branch(0, 23, 1, 21),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(21),
% 1.61/1.77 right_branch(20),
% 1.61/1.77 right_branch(19),
% 1.61/1.77 right_branch(17),
% 1.61/1.77 left_branch(0, 22, 0, 18),
% 1.61/1.77 left_branch(0, 10, 1, 19),
% 1.61/1.77 left_branch(0, 1, 1, 20),
% 1.61/1.77 left_branch(0, 21, 1, 21),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(21),
% 1.61/1.77 right_branch(20),
% 1.61/1.77 right_branch(19),
% 1.61/1.77 left_branch(0, 9, 1, 20),
% 1.61/1.77 left_branch(0, 1, 1, 21),
% 1.61/1.77 left_branch(0, 21, 1, 22),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(22),
% 1.61/1.77 right_branch(21),
% 1.61/1.77 right_branch(20),
% 1.61/1.77 right_branch(18),
% 1.61/1.77 left_branch(0, 20, 0, 19),
% 1.61/1.77 left_branch(0, 8, 1, 20),
% 1.61/1.77 left_branch(0, 0, 1, 21),
% 1.61/1.77 left_branch(0, 19, 1, 22),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(22),
% 1.61/1.77 right_branch(21),
% 1.61/1.77 right_branch(20),
% 1.61/1.77 left_branch(0, 7, 1, 21),
% 1.61/1.77 left_branch(0, 0, 1, 22),
% 1.61/1.77 left_branch(0, 19, 1, 23),
% 1.61/1.77 reduction(0, 2),
% 1.61/1.77 right_branch(23),
% 1.61/1.77 right_branch(22),
% 1.61/1.77 right_branch(21),
% 1.61/1.77 right_branch(19),
% 1.61/1.77 lemmata(0, 10),
% 1.61/1.77 right_branch(4),
% 1.61/1.77 right_branch(2),
% 1.61/1.77 left_branch(0, 8, 0, 3),
% 1.61/1.77 left_branch(0, 54, 2, 4),
% 1.61/1.77 left_branch(0, 3, 0, 5),
% 1.61/1.77 left_branch(0, 14, 0, 6),
% 1.61/1.77 lemmata(0, 0),
% 1.61/1.77 right_branch(6),
% 1.61/1.77 right_branch(5),
% 1.61/1.77 left_branch(0, 7, 1, 6),
% 1.61/1.77 reduction(0, 0),
% 1.61/1.77 right_branch(6),
% 1.61/1.77 right_branch(4),
% 1.61/1.77 right_branch(3)
% 1.61/1.77 )).
% 1.61/1.77 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------