TSTP Solution File: HWV006-2 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.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 14:14:56 EDT 2024
% Result : Unsatisfiable 45.76s 45.98s
% Output : Proof 45.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n012.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 : Thu Mar 21 09:08:45 EDT 2024
% 0.12/0.33 % CPUTime :
% 45.76/45.98 % SZS status Unsatisfiable for theBenchmark
% 45.76/45.98 % SZS output start Proof for theBenchmark
% 45.76/45.98
% 45.76/45.98 % Problem matrix:
% 45.76/45.98 cnf(matrix-0, plain, ( ~connection(P1, P2) | ~zero(P1) | zero(P2) )).
% 45.76/45.98 cnf(matrix-1, plain, ( ~connection(P1, P2) | ~one(P1) | one(P2) )).
% 45.76/45.98 cnf(matrix-2, plain, ( ~connection(P1, P2) | ~zero(P2) | zero(P1) )).
% 45.76/45.98 cnf(matrix-3, plain, ( ~connection(P1, P2) | ~one(P2) | one(P1) )).
% 45.76/45.98 cnf(matrix-4, plain, ( ~zero(P) | ~one(P) )).
% 45.76/45.98 cnf(matrix-5, plain, ( ~and_ok(K) | ~zero(in1(K)) | zero(out1(K)) )).
% 45.76/45.98 cnf(matrix-6, plain, ( ~and_ok(K) | ~zero(in2(K)) | zero(out1(K)) )).
% 45.76/45.98 cnf(matrix-7, plain, ( ~and_ok(K) | ~one(in1(K)) | ~one(in2(K)) | one(out1(K)) )).
% 45.76/45.98 cnf(matrix-8, plain, ( ~and_ok(K) | ~zero(out1(K)) | zero(in1(K)) | zero(in2(K)) )).
% 45.76/45.98 cnf(matrix-9, plain, ( ~and_ok(K) | ~one(out1(K)) | one(in1(K)) )).
% 45.76/45.98 cnf(matrix-10, plain, ( ~and_ok(K) | ~one(out1(K)) | one(in2(K)) )).
% 45.76/45.98 cnf(matrix-11, plain, ( ~and_ok(K) | ~abnormal(K) )).
% 45.76/45.98 cnf(matrix-12, plain, ( ~logic_and(K) | and_ok(K) | abnormal(K) )).
% 45.76/45.98 cnf(matrix-13, plain, ( ~or_ok(K) | ~one(in1(K)) | one(out1(K)) )).
% 45.76/45.98 cnf(matrix-14, plain, ( ~or_ok(K) | ~one(in2(K)) | one(out1(K)) )).
% 45.76/45.98 cnf(matrix-15, plain, ( ~or_ok(K) | ~zero(in1(K)) | ~zero(in2(K)) | zero(out1(K)) )).
% 45.76/45.98 cnf(matrix-16, plain, ( ~or_ok(K) | ~one(out1(K)) | one(in1(K)) | one(in2(K)) )).
% 45.76/45.98 cnf(matrix-17, plain, ( ~or_ok(K) | ~zero(out1(K)) | zero(in1(K)) )).
% 45.76/45.98 cnf(matrix-18, plain, ( ~or_ok(K) | ~zero(out1(K)) | zero(in2(K)) )).
% 45.76/45.98 cnf(matrix-19, plain, ( ~or_ok(K) | ~abnormal(K) )).
% 45.76/45.98 cnf(matrix-20, plain, ( ~logic_or(K) | or_ok(K) | abnormal(K) )).
% 45.76/45.98 cnf(matrix-21, plain, ( ~not_ok(K) | ~zero(in1(K)) | one(out1(K)) )).
% 45.76/45.98 cnf(matrix-22, plain, ( ~not_ok(K) | ~one(in1(K)) | zero(out1(K)) )).
% 45.76/45.98 cnf(matrix-23, plain, ( ~not_ok(K) | ~zero(out1(K)) | one(in1(K)) )).
% 45.76/45.98 cnf(matrix-24, plain, ( ~not_ok(K) | ~one(out1(K)) | zero(in1(K)) )).
% 45.76/45.98 cnf(matrix-25, plain, ( ~not_ok(K) | ~abnormal(K) )).
% 45.76/45.98 cnf(matrix-26, plain, ( ~logic_not(K) | not_ok(K) | abnormal(K) )).
% 45.76/45.98 cnf(matrix-27, plain, ( ~halfadder(X) | logic_and(and1(X)) )).
% 45.76/45.98 cnf(matrix-28, plain, ( ~halfadder(X) | logic_and(and2(X)) )).
% 45.76/45.98 cnf(matrix-29, plain, ( ~halfadder(X) | logic_not(not1(X)) )).
% 45.76/45.98 cnf(matrix-30, plain, ( ~halfadder(X) | logic_or(or1(X)) )).
% 45.76/45.98 cnf(matrix-31, plain, ( ~halfadder(X) | connection(in1(X), in1(or1(X))) )).
% 45.76/45.98 cnf(matrix-32, plain, ( ~halfadder(X) | connection(in2(X), in2(or1(X))) )).
% 45.76/45.98 cnf(matrix-33, plain, ( ~halfadder(X) | connection(in1(X), in1(and2(X))) )).
% 45.76/45.98 cnf(matrix-34, plain, ( ~halfadder(X) | connection(in2(X), in2(and2(X))) )).
% 45.76/45.98 cnf(matrix-35, plain, ( ~halfadder(X) | connection(outs(X), out1(and1(X))) )).
% 45.76/45.98 cnf(matrix-36, plain, ( ~halfadder(X) | connection(outc(X), out1(and2(X))) )).
% 45.76/45.98 cnf(matrix-37, plain, ( ~halfadder(X) | connection(out1(or1(X)), in1(and1(X))) )).
% 45.76/45.98 cnf(matrix-38, plain, ( ~halfadder(X) | connection(out1(and2(X)), in1(not1(X))) )).
% 45.76/45.98 cnf(matrix-39, plain, ( ~halfadder(X) | connection(out1(not1(X)), in2(and1(X))) )).
% 45.76/45.98 cnf(matrix-40, plain, ( ~fulladder(X) | halfadder(h1(X)) )).
% 45.76/45.98 cnf(matrix-41, plain, ( ~fulladder(X) | halfadder(h2(X)) )).
% 45.76/45.98 cnf(matrix-42, plain, ( ~fulladder(X) | logic_or(or1(X)) )).
% 45.76/45.98 cnf(matrix-43, plain, ( ~fulladder(X) | connection(outs(h1(X)), in2(h2(X))) )).
% 45.76/45.98 cnf(matrix-44, plain, ( ~fulladder(X) | connection(outc(h1(X)), in2(or1(X))) )).
% 45.76/45.98 cnf(matrix-45, plain, ( ~fulladder(X) | connection(outc(h2(X)), in1(or1(X))) )).
% 45.76/45.98 cnf(matrix-46, plain, ( ~fulladder(X) | connection(in1(X), in1(h2(X))) )).
% 45.76/45.98 cnf(matrix-47, plain, ( ~fulladder(X) | connection(in2(X), in1(h1(X))) )).
% 45.76/45.98 cnf(matrix-48, plain, ( ~fulladder(X) | connection(inc(X), in2(h1(X))) )).
% 45.76/45.98 cnf(matrix-49, plain, ( ~fulladder(X) | connection(outs(X), outs(h2(X))) )).
% 45.76/45.98 cnf(matrix-50, plain, ( ~fulladder(X) | connection(outc(X), out1(or1(X))) )).
% 45.76/45.98 cnf(matrix-51, plain, ( fulladder(f) )).
% 45.76/45.98 cnf(matrix-52, plain, ( one(in1(f)) )).
% 45.76/45.98 cnf(matrix-53, plain, ( zero(in2(f)) )).
% 45.76/45.98 cnf(matrix-54, plain, ( one(inc(f)) )).
% 45.76/45.98 cnf(matrix-55, plain, ( one(outs(f)) )).
% 45.76/45.98 cnf(matrix-56, plain, ( zero(outc(f)) )).
% 45.76/45.98 cnf(matrix-57, plain, ( ~abnormal(or1(f)) | ~abnormal(not1(h2(f))) )).
% 45.76/45.98 cnf(matrix-58, plain, ( ~abnormal(and2(h2(f))) )).
% 45.76/45.98 cnf(matrix-59, plain, ( ~abnormal(or1(f)) | ~abnormal(and1(h2(f))) )).
% 45.76/45.98 cnf(matrix-60, plain, ( ~abnormal(or1(h1(f))) )).
% 45.76/45.98 cnf(matrix-61, plain, ( ~abnormal(not1(h1(f))) )).
% 45.76/45.98 cnf(matrix-62, plain, ( ~abnormal(and2(h1(f))) )).
% 45.76/45.98 cnf(matrix-63, plain, ( ~abnormal(and1(h1(f))) )).
% 45.76/45.98
% 45.76/45.98 % Proof stack:
% 45.76/45.98 cnf(proof-stack, plain,
% 45.76/45.98 proof_stack(
% 45.76/45.98 start(63),
% 45.76/45.98 left_branch(0, 12, 2, 2),
% 45.76/45.98 left_branch(0, 27, 1, 3),
% 45.76/45.98 left_branch(0, 40, 1, 4),
% 45.76/45.98 left_branch(0, 51, 0, 5),
% 45.76/45.98 right_branch(5),
% 45.76/45.98 right_branch(4),
% 45.76/45.98 right_branch(3),
% 45.76/45.98 left_branch(0, 8, 0, 4),
% 45.76/45.98 left_branch(0, 6, 1, 5),
% 45.76/45.98 reduction(0, 1),
% 45.76/45.98 left_branch(0, 4, 0, 7),
% 45.76/45.98 left_branch(0, 7, 3, 8),
% 45.76/45.98 lemmata(0, 1),
% 45.76/45.98 left_branch(0, 1, 2, 10),
% 45.76/45.98 left_branch(0, 39, 1, 11),
% 45.76/45.98 left_branch(0, 40, 1, 12),
% 45.76/45.98 left_branch(0, 51, 0, 13),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(12),
% 45.76/45.98 right_branch(11),
% 45.76/45.98 left_branch(0, 21, 2, 12),
% 45.76/45.98 left_branch(0, 26, 1, 13),
% 45.76/45.98 left_branch(0, 29, 1, 14),
% 45.76/45.98 left_branch(0, 40, 1, 15),
% 45.76/45.98 left_branch(0, 51, 0, 16),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 left_branch(0, 61, 0, 15),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 left_branch(0, 0, 2, 14),
% 45.76/45.98 left_branch(0, 38, 1, 15),
% 45.76/45.98 left_branch(0, 40, 1, 16),
% 45.76/45.98 left_branch(0, 51, 0, 17),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 left_branch(0, 5, 2, 16),
% 45.76/45.98 left_branch(0, 12, 1, 17),
% 45.76/45.98 left_branch(0, 28, 1, 18),
% 45.76/45.98 left_branch(0, 40, 1, 19),
% 45.76/45.98 left_branch(0, 51, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 left_branch(0, 62, 0, 19),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 left_branch(0, 0, 2, 18),
% 45.76/45.98 left_branch(0, 33, 1, 19),
% 45.76/45.98 left_branch(0, 40, 1, 20),
% 45.76/45.98 left_branch(0, 51, 0, 21),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 left_branch(0, 0, 2, 20),
% 45.76/45.98 left_branch(0, 47, 1, 21),
% 45.76/45.98 left_branch(0, 51, 0, 22),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 left_branch(0, 53, 0, 22),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 right_branch(12),
% 45.76/45.98 right_branch(10),
% 45.76/45.98 left_branch(0, 1, 2, 11),
% 45.76/45.98 left_branch(0, 37, 1, 12),
% 45.76/45.98 left_branch(0, 40, 1, 13),
% 45.76/45.98 left_branch(0, 51, 0, 14),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(12),
% 45.76/45.98 left_branch(0, 14, 2, 13),
% 45.76/45.98 left_branch(0, 20, 1, 14),
% 45.76/45.98 left_branch(0, 30, 1, 15),
% 45.76/45.98 left_branch(0, 40, 1, 16),
% 45.76/45.98 left_branch(0, 51, 0, 17),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 left_branch(0, 60, 0, 16),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 left_branch(0, 1, 2, 15),
% 45.76/45.98 left_branch(0, 32, 1, 16),
% 45.76/45.98 left_branch(0, 40, 1, 17),
% 45.76/45.98 left_branch(0, 51, 0, 18),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 left_branch(0, 3, 2, 17),
% 45.76/45.98 left_branch(0, 34, 1, 18),
% 45.76/45.98 left_branch(0, 40, 1, 19),
% 45.76/45.98 left_branch(0, 51, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 left_branch(0, 10, 2, 19),
% 45.76/45.98 left_branch(0, 12, 1, 20),
% 45.76/45.98 left_branch(0, 28, 1, 21),
% 45.76/45.98 left_branch(0, 40, 1, 22),
% 45.76/45.98 left_branch(0, 51, 0, 23),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 left_branch(0, 62, 0, 22),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 left_branch(0, 3, 2, 21),
% 45.76/45.98 left_branch(0, 38, 1, 22),
% 45.76/45.98 left_branch(0, 40, 1, 23),
% 45.76/45.98 left_branch(0, 51, 0, 24),
% 45.76/45.98 right_branch(24),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 left_branch(0, 23, 2, 23),
% 45.76/45.98 left_branch(0, 26, 1, 24),
% 45.76/45.98 left_branch(0, 29, 1, 25),
% 45.76/45.98 left_branch(0, 40, 1, 26),
% 45.76/45.98 left_branch(0, 51, 0, 27),
% 45.76/45.98 right_branch(27),
% 45.76/45.98 right_branch(26),
% 45.76/45.98 right_branch(25),
% 45.76/45.98 left_branch(0, 61, 0, 26),
% 45.76/45.98 right_branch(26),
% 45.76/45.98 right_branch(24),
% 45.76/45.98 left_branch(0, 2, 2, 25),
% 45.76/45.98 left_branch(0, 39, 1, 26),
% 45.76/45.98 left_branch(0, 40, 1, 27),
% 45.76/45.98 left_branch(0, 51, 0, 28),
% 45.76/45.98 right_branch(28),
% 45.76/45.98 right_branch(27),
% 45.76/45.98 right_branch(26),
% 45.76/45.98 reduction(0, 2),
% 45.76/45.98 right_branch(25),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(11),
% 45.76/45.98 right_branch(8),
% 45.76/45.98 right_branch(7),
% 45.76/45.98 right_branch(5),
% 45.76/45.98 left_branch(0, 5, 1, 6),
% 45.76/45.98 reduction(0, 1),
% 45.76/45.98 left_branch(0, 4, 0, 8),
% 45.76/45.98 left_branch(0, 7, 3, 9),
% 45.76/45.98 lemmata(0, 2),
% 45.76/45.98 left_branch(0, 1, 2, 11),
% 45.76/45.98 left_branch(0, 39, 1, 12),
% 45.76/45.98 left_branch(0, 40, 1, 13),
% 45.76/45.98 left_branch(0, 51, 0, 14),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(12),
% 45.76/45.98 left_branch(0, 21, 2, 13),
% 45.76/45.98 left_branch(0, 26, 1, 14),
% 45.76/45.98 left_branch(0, 29, 1, 15),
% 45.76/45.98 left_branch(0, 40, 1, 16),
% 45.76/45.98 left_branch(0, 51, 0, 17),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 left_branch(0, 61, 0, 16),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 left_branch(0, 0, 2, 15),
% 45.76/45.98 left_branch(0, 38, 1, 16),
% 45.76/45.98 left_branch(0, 40, 1, 17),
% 45.76/45.98 left_branch(0, 51, 0, 18),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 left_branch(0, 5, 2, 17),
% 45.76/45.98 left_branch(0, 12, 1, 18),
% 45.76/45.98 left_branch(0, 28, 1, 19),
% 45.76/45.98 left_branch(0, 40, 1, 20),
% 45.76/45.98 left_branch(0, 51, 0, 21),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 left_branch(0, 62, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 left_branch(0, 0, 2, 19),
% 45.76/45.98 left_branch(0, 33, 1, 20),
% 45.76/45.98 left_branch(0, 40, 1, 21),
% 45.76/45.98 left_branch(0, 51, 0, 22),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 left_branch(0, 0, 2, 21),
% 45.76/45.98 left_branch(0, 47, 1, 22),
% 45.76/45.98 left_branch(0, 51, 0, 23),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 left_branch(0, 53, 0, 23),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(11),
% 45.76/45.98 left_branch(0, 1, 2, 12),
% 45.76/45.98 left_branch(0, 37, 1, 13),
% 45.76/45.98 left_branch(0, 40, 1, 14),
% 45.76/45.98 left_branch(0, 51, 0, 15),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 left_branch(0, 14, 2, 14),
% 45.76/45.98 left_branch(0, 20, 1, 15),
% 45.76/45.98 left_branch(0, 30, 1, 16),
% 45.76/45.98 left_branch(0, 40, 1, 17),
% 45.76/45.98 left_branch(0, 51, 0, 18),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 left_branch(0, 60, 0, 17),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 left_branch(0, 1, 2, 16),
% 45.76/45.98 left_branch(0, 32, 1, 17),
% 45.76/45.98 left_branch(0, 40, 1, 18),
% 45.76/45.98 left_branch(0, 51, 0, 19),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 left_branch(0, 1, 2, 18),
% 45.76/45.98 left_branch(0, 48, 1, 19),
% 45.76/45.98 left_branch(0, 51, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 left_branch(0, 54, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 right_branch(12),
% 45.76/45.98 right_branch(9),
% 45.76/45.98 right_branch(8),
% 45.76/45.98 right_branch(6),
% 45.76/45.98 left_branch(0, 0, 2, 7),
% 45.76/45.98 left_branch(0, 35, 1, 8),
% 45.76/45.98 left_branch(0, 40, 1, 9),
% 45.76/45.98 left_branch(0, 51, 0, 10),
% 45.76/45.98 right_branch(10),
% 45.76/45.98 right_branch(9),
% 45.76/45.98 right_branch(8),
% 45.76/45.98 left_branch(0, 2, 2, 9),
% 45.76/45.98 left_branch(0, 43, 1, 10),
% 45.76/45.98 left_branch(0, 51, 0, 11),
% 45.76/45.98 right_branch(11),
% 45.76/45.98 right_branch(10),
% 45.76/45.98 left_branch(0, 2, 2, 11),
% 45.76/45.98 left_branch(0, 34, 1, 12),
% 45.76/45.98 left_branch(0, 41, 1, 13),
% 45.76/45.98 left_branch(0, 51, 0, 14),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(12),
% 45.76/45.98 left_branch(0, 8, 3, 13),
% 45.76/45.98 left_branch(0, 12, 1, 14),
% 45.76/45.98 left_branch(0, 28, 1, 15),
% 45.76/45.98 left_branch(0, 41, 1, 16),
% 45.76/45.98 left_branch(0, 51, 0, 17),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 left_branch(0, 58, 0, 16),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(14),
% 45.76/45.98 left_branch(0, 4, 0, 15),
% 45.76/45.98 left_branch(0, 1, 2, 16),
% 45.76/45.98 left_branch(0, 33, 1, 17),
% 45.76/45.98 left_branch(0, 41, 1, 18),
% 45.76/45.98 left_branch(0, 51, 0, 19),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 left_branch(0, 1, 2, 18),
% 45.76/45.98 left_branch(0, 46, 1, 19),
% 45.76/45.98 left_branch(0, 51, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 left_branch(0, 52, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(15),
% 45.76/45.98 left_branch(0, 0, 2, 16),
% 45.76/45.98 left_branch(0, 36, 1, 17),
% 45.76/45.98 left_branch(0, 41, 1, 18),
% 45.76/45.98 left_branch(0, 51, 0, 19),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(17),
% 45.76/45.98 left_branch(0, 2, 2, 18),
% 45.76/45.98 left_branch(0, 45, 1, 19),
% 45.76/45.98 left_branch(0, 51, 0, 20),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(19),
% 45.76/45.98 left_branch(0, 17, 2, 20),
% 45.76/45.98 left_branch(0, 20, 1, 21),
% 45.76/45.98 left_branch(0, 42, 1, 22),
% 45.76/45.98 left_branch(0, 51, 0, 23),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 left_branch(0, 59, 0, 23),
% 45.76/45.98 left_branch(0, 12, 2, 24),
% 45.76/45.98 left_branch(0, 27, 1, 25),
% 45.76/45.98 left_branch(0, 41, 1, 26),
% 45.76/45.98 left_branch(0, 51, 0, 27),
% 45.76/45.98 right_branch(27),
% 45.76/45.98 right_branch(26),
% 45.76/45.98 right_branch(25),
% 45.76/45.98 left_branch(0, 10, 0, 26),
% 45.76/45.98 left_branch(0, 3, 1, 27),
% 45.76/45.98 left_branch(0, 39, 1, 28),
% 45.76/45.98 left_branch(0, 41, 1, 29),
% 45.76/45.98 left_branch(0, 51, 0, 30),
% 45.76/45.98 right_branch(30),
% 45.76/45.98 right_branch(29),
% 45.76/45.98 right_branch(28),
% 45.76/45.98 left_branch(0, 24, 1, 29),
% 45.76/45.98 left_branch(0, 26, 1, 30),
% 45.76/45.98 left_branch(0, 29, 1, 31),
% 45.76/45.98 left_branch(0, 41, 1, 32),
% 45.76/45.98 left_branch(0, 51, 0, 33),
% 45.76/45.98 right_branch(33),
% 45.76/45.98 right_branch(32),
% 45.76/45.98 right_branch(31),
% 45.76/45.98 left_branch(0, 57, 1, 32),
% 45.76/45.98 reduction(0, 10),
% 45.76/45.98 right_branch(32),
% 45.76/45.98 right_branch(30),
% 45.76/45.98 left_branch(0, 2, 1, 31),
% 45.76/45.98 left_branch(0, 38, 1, 32),
% 45.76/45.98 left_branch(0, 41, 1, 33),
% 45.76/45.98 left_branch(0, 51, 0, 34),
% 45.76/45.98 right_branch(34),
% 45.76/45.98 right_branch(33),
% 45.76/45.98 right_branch(32),
% 45.76/45.98 reduction(0, 6),
% 45.76/45.98 right_branch(31),
% 45.76/45.98 right_branch(29),
% 45.76/45.98 right_branch(27),
% 45.76/45.98 left_branch(0, 1, 2, 28),
% 45.76/45.98 left_branch(0, 35, 1, 29),
% 45.76/45.98 left_branch(0, 41, 1, 30),
% 45.76/45.98 left_branch(0, 51, 0, 31),
% 45.76/45.98 right_branch(31),
% 45.76/45.98 right_branch(30),
% 45.76/45.98 right_branch(29),
% 45.76/45.98 left_branch(0, 1, 2, 30),
% 45.76/45.98 left_branch(0, 49, 1, 31),
% 45.76/45.98 left_branch(0, 51, 0, 32),
% 45.76/45.98 right_branch(32),
% 45.76/45.98 right_branch(31),
% 45.76/45.98 left_branch(0, 55, 0, 32),
% 45.76/45.98 right_branch(32),
% 45.76/45.98 right_branch(30),
% 45.76/45.98 right_branch(28),
% 45.76/45.98 right_branch(26),
% 45.76/45.98 right_branch(24),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 right_branch(21),
% 45.76/45.98 left_branch(0, 0, 2, 22),
% 45.76/45.98 left_branch(0, 50, 1, 23),
% 45.76/45.98 left_branch(0, 51, 0, 24),
% 45.76/45.98 right_branch(24),
% 45.76/45.98 right_branch(23),
% 45.76/45.98 left_branch(0, 56, 0, 24),
% 45.76/45.98 right_branch(24),
% 45.76/45.98 right_branch(22),
% 45.76/45.98 right_branch(20),
% 45.76/45.98 right_branch(18),
% 45.76/45.98 right_branch(16),
% 45.76/45.98 right_branch(13),
% 45.76/45.98 right_branch(11),
% 45.76/45.98 right_branch(9),
% 45.76/45.98 right_branch(7),
% 45.76/45.98 right_branch(4),
% 45.76/45.98 right_branch(2)
% 45.76/45.98 )).
% 45.76/45.98 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------