TSTP Solution File: COM003+2 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : COM003+2 : TPTP v8.1.2. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n013.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 14:01:48 EDT 2024
% Result : Theorem 1.33s 1.51s
% Output : Proof 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM003+2 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 09:12:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.33/1.51 % SZS status Theorem for theBenchmark
% 1.33/1.51 % SZS output start Proof for theBenchmark
% 1.33/1.51
% 1.33/1.51 % Formula: program_decides_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_decides_def-1, axiom, ( ~program_decides(_u5) | ~program(_u1) | decides(_u5, _u1, _u0) )).
% 1.33/1.51 cnf(program_decides_def-2, axiom, ( program_decides(_u6) | program(skolem1(_u6)) )).
% 1.33/1.51 cnf(program_decides_def-3, axiom, ( program_decides(_u6) | ~decides(_u6, skolem1(_u6), skolem2(_u6)) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_program_decides_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_program_decides_def-1, axiom, ( ~program_program_decides(_u8) | program(_u8) )).
% 1.33/1.51 cnf(program_program_decides_def-2, axiom, ( ~program_program_decides(_u8) | program_decides(_u8) )).
% 1.33/1.51 cnf(program_program_decides_def-3, axiom, ( ~program(_u9) | ~program_decides(_u9) | program_program_decides(_u9) )).
% 1.33/1.51
% 1.33/1.51 % Formula: algorithm_program_decides_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(algorithm_program_decides_def-1, axiom, ( ~algorithm_program_decides(_u11) | algorithm(_u11) )).
% 1.33/1.51 cnf(algorithm_program_decides_def-2, axiom, ( ~algorithm_program_decides(_u11) | program_decides(_u11) )).
% 1.33/1.51 cnf(algorithm_program_decides_def-3, axiom, ( ~algorithm(_u12) | ~program_decides(_u12) | algorithm_program_decides(_u12) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_halts2_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_halts2_def-1, axiom, ( ~program_halts2(_u17, _u15) | program(_u17) )).
% 1.33/1.51 cnf(program_halts2_def-2, axiom, ( ~program_halts2(_u17, _u15) | halts2(_u17, _u15) )).
% 1.33/1.51 cnf(program_halts2_def-3, axiom, ( ~program(_u18) | ~halts2(_u18, _u16) | program_halts2(_u18, _u16) )).
% 1.33/1.51
% 1.33/1.51 % Formula: halts3_outputs_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(halts3_outputs_def-1, axiom, ( ~halts3_outputs(_u29, _u27, _u25, _u23) | halts3(_u29, _u27, _u25) )).
% 1.33/1.51 cnf(halts3_outputs_def-2, axiom, ( ~halts3_outputs(_u29, _u27, _u25, _u23) | outputs(_u29, _u23) )).
% 1.33/1.51 cnf(halts3_outputs_def-3, axiom, ( ~halts3(_u30, _u28, _u26) | ~outputs(_u30, _u24) | halts3_outputs(_u30, _u28, _u26, _u24) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_not_halts2_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_not_halts2_def-1, axiom, ( ~program_not_halts2(_u35, _u33) | program(_u35) )).
% 1.33/1.51 cnf(program_not_halts2_def-2, axiom, ( ~program_not_halts2(_u35, _u33) | ~halts2(_u35, _u33) )).
% 1.33/1.51 cnf(program_not_halts2_def-3, axiom, ( ~program(_u36) | halts2(_u36, _u34) | program_not_halts2(_u36, _u34) )).
% 1.33/1.51
% 1.33/1.51 % Formula: halts2_outputs_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(halts2_outputs_def-1, axiom, ( ~halts2_outputs(_u44, _u42, _u40) | halts2(_u44, _u42) )).
% 1.33/1.51 cnf(halts2_outputs_def-2, axiom, ( ~halts2_outputs(_u44, _u42, _u40) | outputs(_u44, _u40) )).
% 1.33/1.51 cnf(halts2_outputs_def-3, axiom, ( ~halts2(_u45, _u43) | ~outputs(_u45, _u41) | halts2_outputs(_u45, _u43, _u41) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_halts2_halts3_outputs_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_halts2_halts3_outputs_def-1, axiom, ( ~program_halts2_halts3_outputs(_u56, _u54, _u52, _u50) | ~program_halts2(_u54, _u52) | halts3_outputs(_u56, _u54, _u52, _u50) )).
% 1.33/1.51 cnf(program_halts2_halts3_outputs_def-2, axiom, ( program_halts2_halts3_outputs(_u57, _u55, _u53, _u51) | program_halts2(_u55, _u53) )).
% 1.33/1.51 cnf(program_halts2_halts3_outputs_def-3, axiom, ( program_halts2_halts3_outputs(_u57, _u55, _u53, _u51) | ~halts3_outputs(_u57, _u55, _u53, _u51) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_not_halts2_halts3_outputs_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_not_halts2_halts3_outputs_def-1, axiom, ( ~program_not_halts2_halts3_outputs(_u68, _u66, _u64, _u62) | ~program_not_halts2(_u66, _u64) | halts3_outputs(_u68, _u66, _u64, _u62) )).
% 1.33/1.51 cnf(program_not_halts2_halts3_outputs_def-2, axiom, ( program_not_halts2_halts3_outputs(_u69, _u67, _u65, _u63) | program_not_halts2(_u67, _u65) )).
% 1.33/1.51 cnf(program_not_halts2_halts3_outputs_def-3, axiom, ( program_not_halts2_halts3_outputs(_u69, _u67, _u65, _u63) | ~halts3_outputs(_u69, _u67, _u65, _u63) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_halts2_halts2_outputs_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_halts2_halts2_outputs_def-1, axiom, ( ~program_halts2_halts2_outputs(_u77, _u75, _u73) | ~program_halts2(_u75, _u75) | halts2_outputs(_u77, _u75, _u73) )).
% 1.33/1.51 cnf(program_halts2_halts2_outputs_def-2, axiom, ( program_halts2_halts2_outputs(_u78, _u76, _u74) | program_halts2(_u76, _u76) )).
% 1.33/1.51 cnf(program_halts2_halts2_outputs_def-3, axiom, ( program_halts2_halts2_outputs(_u78, _u76, _u74) | ~halts2_outputs(_u78, _u76, _u74) )).
% 1.33/1.51
% 1.33/1.51 % Formula: program_not_halts2_halts2_outputs_def ( axiom ) converted to clauses:
% 1.33/1.51 cnf(program_not_halts2_halts2_outputs_def-1, axiom, ( ~program_not_halts2_halts2_outputs(_u86, _u84, _u82) | ~program_not_halts2(_u84, _u84) | halts2_outputs(_u86, _u84, _u82) )).
% 1.33/1.51 cnf(program_not_halts2_halts2_outputs_def-2, axiom, ( program_not_halts2_halts2_outputs(_u87, _u85, _u83) | program_not_halts2(_u85, _u85) )).
% 1.33/1.51 cnf(program_not_halts2_halts2_outputs_def-3, axiom, ( program_not_halts2_halts2_outputs(_u87, _u85, _u83) | ~halts2_outputs(_u87, _u85, _u83) )).
% 1.33/1.51
% 1.33/1.51 % Formula: p1 ( axiom ) converted to clauses:
% 1.33/1.51 cnf(p1-1, axiom, ( ~algorithm_program_decides(_u88) | program_program_decides(skolem3) )).
% 1.33/1.51
% 1.33/1.51 % Formula: p2 ( axiom ) converted to clauses:
% 1.33/1.51 cnf(p2-1, axiom, ( ~program_program_decides(_u92) | program_halts2_halts3_outputs(_u92, _u95, _u93, good) )).
% 1.33/1.51 cnf(p2-2, axiom, ( ~program_program_decides(_u92) | program_not_halts2_halts3_outputs(_u92, _u96, _u94, bad) )).
% 1.33/1.51
% 1.33/1.51 % Formula: p3 ( axiom ) converted to clauses:
% 1.33/1.51 cnf(p3-1, axiom, ( ~program(_u98) | ~program_halts2_halts3_outputs(_u98, skolem4(_u98), skolem4(_u98), good) | ~program_not_halts2_halts3_outputs(_u98, skolem5(_u98), skolem5(_u98), bad) | program(skolem6) )).
% 1.33/1.51 cnf(p3-2, axiom, ( ~program(_u98) | ~program_halts2_halts3_outputs(_u98, skolem4(_u98), skolem4(_u98), good) | ~program_not_halts2_halts3_outputs(_u98, skolem5(_u98), skolem5(_u98), bad) | program_halts2_halts2_outputs(skolem6, _u103, good) )).
% 1.33/1.51 cnf(p3-3, axiom, ( ~program(_u98) | ~program_halts2_halts3_outputs(_u98, skolem4(_u98), skolem4(_u98), good) | ~program_not_halts2_halts3_outputs(_u98, skolem5(_u98), skolem5(_u98), bad) | program_not_halts2_halts2_outputs(skolem6, _u104, bad) )).
% 1.33/1.51
% 1.33/1.51 % Formula: p4 ( axiom ) converted to clauses:
% 1.33/1.51 cnf(p4-1, axiom, ( ~program(_u106) | ~program_halts2_halts2_outputs(_u106, skolem7(_u106), good) | ~program_not_halts2_halts2_outputs(_u106, skolem8(_u106), bad) | program(skolem9) )).
% 1.33/1.51 cnf(p4-2, axiom, ( ~program(_u106) | ~program_halts2_halts2_outputs(_u106, skolem7(_u106), good) | ~program_not_halts2_halts2_outputs(_u106, skolem8(_u106), bad) | ~program_halts2(_u111, _u111) | ~halts2(skolem9, _u111) )).
% 1.33/1.51 cnf(p4-3, axiom, ( ~program(_u106) | ~program_halts2_halts2_outputs(_u106, skolem7(_u106), good) | ~program_not_halts2_halts2_outputs(_u106, skolem8(_u106), bad) | program_not_halts2_halts2_outputs(skolem9, _u112, good) )).
% 1.33/1.51
% 1.33/1.51 % Formula: prove_this ( conjecture ) (definitionally) converted to clauses:
% 1.33/1.51 cnf(prove_this-1, negated_conjecture, ( algorithm_program_decides(skolem10) )).
% 1.33/1.51
% 1.33/1.51 % Problem matrix:
% 1.33/1.51 cnf(matrix-0, plain, ( ~program_decides(_u5) | ~program(_u1) | decides(_u5, _u1, _u0) )).
% 1.33/1.51 cnf(matrix-1, plain, ( program_decides(_u6) | program(skolem1(_u6)) )).
% 1.33/1.51 cnf(matrix-2, plain, ( program_decides(_u6) | ~decides(_u6, skolem1(_u6), skolem2(_u6)) )).
% 1.33/1.51 cnf(matrix-3, plain, ( ~program_program_decides(_u8) | program(_u8) )).
% 1.33/1.51 cnf(matrix-4, plain, ( ~program_program_decides(_u8) | program_decides(_u8) )).
% 1.33/1.51 cnf(matrix-5, plain, ( ~program(_u9) | ~program_decides(_u9) | program_program_decides(_u9) )).
% 1.33/1.51 cnf(matrix-6, plain, ( ~algorithm_program_decides(_u11) | algorithm(_u11) )).
% 1.33/1.51 cnf(matrix-7, plain, ( ~algorithm_program_decides(_u11) | program_decides(_u11) )).
% 1.33/1.51 cnf(matrix-8, plain, ( ~algorithm(_u12) | ~program_decides(_u12) | algorithm_program_decides(_u12) )).
% 1.33/1.51 cnf(matrix-9, plain, ( ~program_halts2(_u17, _u15) | program(_u17) )).
% 1.33/1.51 cnf(matrix-10, plain, ( ~program_halts2(_u17, _u15) | halts2(_u17, _u15) )).
% 1.33/1.51 cnf(matrix-11, plain, ( ~program(_u18) | ~halts2(_u18, _u16) | program_halts2(_u18, _u16) )).
% 1.33/1.51 cnf(matrix-12, plain, ( ~halts3_outputs(_u29, _u27, _u25, _u23) | halts3(_u29, _u27, _u25) )).
% 1.33/1.51 cnf(matrix-13, plain, ( ~halts3_outputs(_u29, _u27, _u25, _u23) | outputs(_u29, _u23) )).
% 1.33/1.51 cnf(matrix-14, plain, ( ~halts3(_u30, _u28, _u26) | ~outputs(_u30, _u24) | halts3_outputs(_u30, _u28, _u26, _u24) )).
% 1.33/1.51 cnf(matrix-15, plain, ( ~program_not_halts2(_u35, _u33) | program(_u35) )).
% 1.33/1.51 cnf(matrix-16, plain, ( ~program_not_halts2(_u35, _u33) | ~halts2(_u35, _u33) )).
% 1.33/1.51 cnf(matrix-17, plain, ( ~program(_u36) | halts2(_u36, _u34) | program_not_halts2(_u36, _u34) )).
% 1.33/1.51 cnf(matrix-18, plain, ( ~halts2_outputs(_u44, _u42, _u40) | halts2(_u44, _u42) )).
% 1.33/1.51 cnf(matrix-19, plain, ( ~halts2_outputs(_u44, _u42, _u40) | outputs(_u44, _u40) )).
% 1.33/1.51 cnf(matrix-20, plain, ( ~halts2(_u45, _u43) | ~outputs(_u45, _u41) | halts2_outputs(_u45, _u43, _u41) )).
% 1.33/1.51 cnf(matrix-21, plain, ( ~program_halts2_halts3_outputs(_u56, _u54, _u52, _u50) | ~program_halts2(_u54, _u52) | halts3_outputs(_u56, _u54, _u52, _u50) )).
% 1.33/1.51 cnf(matrix-22, plain, ( program_halts2_halts3_outputs(_u57, _u55, _u53, _u51) | program_halts2(_u55, _u53) )).
% 1.33/1.51 cnf(matrix-23, plain, ( program_halts2_halts3_outputs(_u57, _u55, _u53, _u51) | ~halts3_outputs(_u57, _u55, _u53, _u51) )).
% 1.33/1.51 cnf(matrix-24, plain, ( ~program_not_halts2_halts3_outputs(_u68, _u66, _u64, _u62) | ~program_not_halts2(_u66, _u64) | halts3_outputs(_u68, _u66, _u64, _u62) )).
% 1.33/1.51 cnf(matrix-25, plain, ( program_not_halts2_halts3_outputs(_u69, _u67, _u65, _u63) | program_not_halts2(_u67, _u65) )).
% 1.33/1.51 cnf(matrix-26, plain, ( program_not_halts2_halts3_outputs(_u69, _u67, _u65, _u63) | ~halts3_outputs(_u69, _u67, _u65, _u63) )).
% 1.33/1.51 cnf(matrix-27, plain, ( ~program_halts2_halts2_outputs(_u77, _u75, _u73) | ~program_halts2(_u75, _u75) | halts2_outputs(_u77, _u75, _u73) )).
% 1.33/1.51 cnf(matrix-28, plain, ( program_halts2_halts2_outputs(_u78, _u76, _u74) | program_halts2(_u76, _u76) )).
% 1.33/1.51 cnf(matrix-29, plain, ( program_halts2_halts2_outputs(_u78, _u76, _u74) | ~halts2_outputs(_u78, _u76, _u74) )).
% 1.33/1.51 cnf(matrix-30, plain, ( ~program_not_halts2_halts2_outputs(_u86, _u84, _u82) | ~program_not_halts2(_u84, _u84) | halts2_outputs(_u86, _u84, _u82) )).
% 1.33/1.51 cnf(matrix-31, plain, ( program_not_halts2_halts2_outputs(_u87, _u85, _u83) | program_not_halts2(_u85, _u85) )).
% 1.33/1.51 cnf(matrix-32, plain, ( program_not_halts2_halts2_outputs(_u87, _u85, _u83) | ~halts2_outputs(_u87, _u85, _u83) )).
% 1.33/1.51 cnf(matrix-33, plain, ( ~algorithm_program_decides(_u88) | program_program_decides(skolem3) )).
% 1.33/1.51 cnf(matrix-34, plain, ( ~program_program_decides(_u92) | program_halts2_halts3_outputs(_u92, _u95, _u93, good) )).
% 1.33/1.51 cnf(matrix-35, plain, ( ~program_program_decides(_u92) | program_not_halts2_halts3_outputs(_u92, _u96, _u94, bad) )).
% 1.33/1.51 cnf(matrix-36, plain, ( ~program(_u98) | ~program_halts2_halts3_outputs(_u98, skolem4(_u98), skolem4(_u98), good) | ~program_not_halts2_halts3_outputs(_u98, skolem5(_u98), skolem5(_u98), bad) | program(skolem6) )).
% 1.33/1.51 cnf(matrix-37, plain, ( ~program(_u98) | ~program_halts2_halts3_outputs(_u98, skolem4(_u98), skolem4(_u98), good) | ~program_not_halts2_halts3_outputs(_u98, skolem5(_u98), skolem5(_u98), bad) | program_halts2_halts2_outputs(skolem6, _u103, good) )).
% 1.33/1.51 cnf(matrix-38, plain, ( ~program(_u98) | ~program_halts2_halts3_outputs(_u98, skolem4(_u98), skolem4(_u98), good) | ~program_not_halts2_halts3_outputs(_u98, skolem5(_u98), skolem5(_u98), bad) | program_not_halts2_halts2_outputs(skolem6, _u104, bad) )).
% 1.33/1.51 cnf(matrix-39, plain, ( ~program(_u106) | ~program_halts2_halts2_outputs(_u106, skolem7(_u106), good) | ~program_not_halts2_halts2_outputs(_u106, skolem8(_u106), bad) | program(skolem9) )).
% 1.33/1.51 cnf(matrix-40, plain, ( ~program(_u106) | ~program_halts2_halts2_outputs(_u106, skolem7(_u106), good) | ~program_not_halts2_halts2_outputs(_u106, skolem8(_u106), bad) | ~program_halts2(_u111, _u111) | ~halts2(skolem9, _u111) )).
% 1.33/1.51 cnf(matrix-41, plain, ( ~program(_u106) | ~program_halts2_halts2_outputs(_u106, skolem7(_u106), good) | ~program_not_halts2_halts2_outputs(_u106, skolem8(_u106), bad) | program_not_halts2_halts2_outputs(skolem9, _u112, good) )).
% 1.33/1.51 cnf(matrix-42, plain, ( algorithm_program_decides(skolem10) )).
% 1.33/1.51
% 1.33/1.51 % Proof stack:
% 1.33/1.51 cnf(proof-stack, plain,
% 1.33/1.51 proof_stack(
% 1.33/1.51 start(16),
% 1.33/1.51 left_branch(0, 17, 2, 2),
% 1.33/1.51 left_branch(0, 39, 3, 3),
% 1.33/1.51 left_branch(0, 36, 3, 4),
% 1.33/1.51 left_branch(0, 3, 1, 5),
% 1.33/1.51 left_branch(0, 33, 1, 6),
% 1.33/1.51 left_branch(0, 42, 0, 7),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 right_branch(6),
% 1.33/1.51 right_branch(5),
% 1.33/1.51 left_branch(0, 35, 1, 6),
% 1.33/1.51 left_branch(0, 33, 1, 7),
% 1.33/1.51 left_branch(0, 42, 0, 8),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 right_branch(6),
% 1.33/1.51 left_branch(0, 34, 1, 7),
% 1.33/1.51 left_branch(0, 33, 1, 8),
% 1.33/1.51 left_branch(0, 42, 0, 9),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 right_branch(4),
% 1.33/1.51 left_branch(0, 38, 3, 5),
% 1.33/1.51 left_branch(0, 3, 1, 6),
% 1.33/1.51 left_branch(0, 33, 1, 7),
% 1.33/1.51 left_branch(0, 42, 0, 8),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 right_branch(6),
% 1.33/1.51 left_branch(0, 35, 1, 7),
% 1.33/1.51 left_branch(0, 33, 1, 8),
% 1.33/1.51 left_branch(0, 42, 0, 9),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 left_branch(0, 34, 1, 8),
% 1.33/1.51 left_branch(0, 33, 1, 9),
% 1.33/1.51 left_branch(0, 42, 0, 10),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(5),
% 1.33/1.51 left_branch(0, 37, 3, 6),
% 1.33/1.51 left_branch(0, 3, 1, 7),
% 1.33/1.51 left_branch(0, 33, 1, 8),
% 1.33/1.51 left_branch(0, 42, 0, 9),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 left_branch(0, 35, 1, 8),
% 1.33/1.51 left_branch(0, 33, 1, 9),
% 1.33/1.51 left_branch(0, 42, 0, 10),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 left_branch(0, 34, 1, 9),
% 1.33/1.51 left_branch(0, 33, 1, 10),
% 1.33/1.51 left_branch(0, 42, 0, 11),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(6),
% 1.33/1.51 right_branch(3),
% 1.33/1.51 left_branch(0, 11, 1, 4),
% 1.33/1.51 lemmata(0, 0),
% 1.33/1.51 left_branch(0, 40, 3, 6),
% 1.33/1.51 left_branch(0, 36, 3, 7),
% 1.33/1.51 left_branch(0, 3, 1, 8),
% 1.33/1.51 left_branch(0, 33, 1, 9),
% 1.33/1.51 left_branch(0, 42, 0, 10),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 left_branch(0, 35, 1, 9),
% 1.33/1.51 left_branch(0, 33, 1, 10),
% 1.33/1.51 left_branch(0, 42, 0, 11),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 left_branch(0, 34, 1, 10),
% 1.33/1.51 left_branch(0, 33, 1, 11),
% 1.33/1.51 left_branch(0, 42, 0, 12),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 reduction(0, 1),
% 1.33/1.51 left_branch(0, 38, 3, 9),
% 1.33/1.51 left_branch(0, 3, 1, 10),
% 1.33/1.51 left_branch(0, 33, 1, 11),
% 1.33/1.51 left_branch(0, 42, 0, 12),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 left_branch(0, 35, 1, 11),
% 1.33/1.51 left_branch(0, 33, 1, 12),
% 1.33/1.51 left_branch(0, 42, 0, 13),
% 1.33/1.51 right_branch(13),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 left_branch(0, 34, 1, 12),
% 1.33/1.51 left_branch(0, 33, 1, 13),
% 1.33/1.51 left_branch(0, 42, 0, 14),
% 1.33/1.51 right_branch(14),
% 1.33/1.51 right_branch(13),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 left_branch(0, 37, 3, 10),
% 1.33/1.51 left_branch(0, 3, 1, 11),
% 1.33/1.51 left_branch(0, 33, 1, 12),
% 1.33/1.51 left_branch(0, 42, 0, 13),
% 1.33/1.51 right_branch(13),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 left_branch(0, 35, 1, 12),
% 1.33/1.51 left_branch(0, 33, 1, 13),
% 1.33/1.51 left_branch(0, 42, 0, 14),
% 1.33/1.51 right_branch(14),
% 1.33/1.51 right_branch(13),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 left_branch(0, 34, 1, 13),
% 1.33/1.51 left_branch(0, 33, 1, 14),
% 1.33/1.51 left_branch(0, 42, 0, 15),
% 1.33/1.51 right_branch(15),
% 1.33/1.51 right_branch(14),
% 1.33/1.51 right_branch(13),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(6),
% 1.33/1.51 right_branch(4),
% 1.33/1.51 right_branch(2),
% 1.33/1.51 left_branch(0, 18, 1, 3),
% 1.33/1.51 left_branch(0, 30, 2, 4),
% 1.33/1.51 left_branch(0, 41, 3, 5),
% 1.33/1.51 left_branch(0, 36, 3, 6),
% 1.33/1.51 left_branch(0, 3, 1, 7),
% 1.33/1.51 left_branch(0, 33, 1, 8),
% 1.33/1.51 left_branch(0, 42, 0, 9),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 left_branch(0, 35, 1, 8),
% 1.33/1.51 left_branch(0, 33, 1, 9),
% 1.33/1.51 left_branch(0, 42, 0, 10),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 left_branch(0, 34, 1, 9),
% 1.33/1.51 left_branch(0, 33, 1, 10),
% 1.33/1.51 left_branch(0, 42, 0, 11),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(6),
% 1.33/1.51 left_branch(0, 38, 3, 7),
% 1.33/1.51 left_branch(0, 3, 1, 8),
% 1.33/1.51 left_branch(0, 33, 1, 9),
% 1.33/1.51 left_branch(0, 42, 0, 10),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 left_branch(0, 35, 1, 9),
% 1.33/1.51 left_branch(0, 33, 1, 10),
% 1.33/1.51 left_branch(0, 42, 0, 11),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 left_branch(0, 34, 1, 10),
% 1.33/1.51 left_branch(0, 33, 1, 11),
% 1.33/1.51 left_branch(0, 42, 0, 12),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(7),
% 1.33/1.51 left_branch(0, 37, 3, 8),
% 1.33/1.51 left_branch(0, 3, 1, 9),
% 1.33/1.51 left_branch(0, 33, 1, 10),
% 1.33/1.51 left_branch(0, 42, 0, 11),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 right_branch(9),
% 1.33/1.51 left_branch(0, 35, 1, 10),
% 1.33/1.51 left_branch(0, 33, 1, 11),
% 1.33/1.51 left_branch(0, 42, 0, 12),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(10),
% 1.33/1.51 left_branch(0, 34, 1, 11),
% 1.33/1.51 left_branch(0, 33, 1, 12),
% 1.33/1.51 left_branch(0, 42, 0, 13),
% 1.33/1.51 right_branch(13),
% 1.33/1.51 right_branch(12),
% 1.33/1.51 right_branch(11),
% 1.33/1.51 right_branch(8),
% 1.33/1.51 right_branch(5),
% 1.33/1.51 lemmata(0, 0),
% 1.33/1.51 right_branch(4),
% 1.33/1.51 right_branch(3)
% 1.33/1.51 )).
% 1.33/1.51 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------