TSTP Solution File: SYN393+1.003 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n011.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 14:42:42 EDT 2024
% Result : Theorem 0.14s 0.35s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Mar 20 22:58:42 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start Proof for theBenchmark
% 0.14/0.35
% 0.14/0.35 % Formula: pel12 ( conjecture ) (definitionally) converted to clauses:
% 0.14/0.35 cnf(pel12-1, negated_conjecture, ( ~_def7 | ~_def15 )).
% 0.14/0.35 cnf(pel12-2, negated_conjecture, ( _def7 | ~_def0 | ~_def1 | p3 )).
% 0.14/0.35 cnf(pel12-3, negated_conjecture, ( _def7 | ~p3 | ~_def2 )).
% 0.14/0.35 cnf(pel12-4, negated_conjecture, ( _def7 | ~_def5 | ~_def6 )).
% 0.14/0.35 cnf(pel12-5, negated_conjecture, ( _def0 | p1 )).
% 0.14/0.35 cnf(pel12-6, negated_conjecture, ( _def0 | ~p2 )).
% 0.14/0.35 cnf(pel12-7, negated_conjecture, ( _def1 | p2 )).
% 0.14/0.35 cnf(pel12-8, negated_conjecture, ( _def1 | ~p1 )).
% 0.14/0.35 cnf(pel12-9, negated_conjecture, ( _def2 | ~p1 | p2 )).
% 0.14/0.35 cnf(pel12-10, negated_conjecture, ( _def2 | ~p2 | p1 )).
% 0.14/0.35 cnf(pel12-11, negated_conjecture, ( _def5 | p1 )).
% 0.14/0.35 cnf(pel12-12, negated_conjecture, ( _def5 | ~_def3 | ~_def4 )).
% 0.14/0.35 cnf(pel12-13, negated_conjecture, ( _def3 | p2 )).
% 0.14/0.35 cnf(pel12-14, negated_conjecture, ( _def3 | ~p3 )).
% 0.14/0.35 cnf(pel12-15, negated_conjecture, ( _def4 | p3 )).
% 0.14/0.35 cnf(pel12-16, negated_conjecture, ( _def4 | ~p2 )).
% 0.14/0.35 cnf(pel12-17, negated_conjecture, ( _def6 | ~p2 | p3 )).
% 0.14/0.35 cnf(pel12-18, negated_conjecture, ( _def6 | ~p3 | p2 )).
% 0.14/0.35 cnf(pel12-19, negated_conjecture, ( _def6 | ~p1 )).
% 0.14/0.35 cnf(pel12-20, negated_conjecture, ( _def15 | ~p1 | ~_def8 )).
% 0.14/0.35 cnf(pel12-21, negated_conjecture, ( _def15 | ~_def9 | ~_def10 | p1 )).
% 0.14/0.35 cnf(pel12-22, negated_conjecture, ( _def15 | ~_def11 | ~_def14 )).
% 0.14/0.35 cnf(pel12-23, negated_conjecture, ( _def8 | ~p2 | p3 )).
% 0.14/0.35 cnf(pel12-24, negated_conjecture, ( _def8 | ~p3 | p2 )).
% 0.14/0.35 cnf(pel12-25, negated_conjecture, ( _def9 | p2 )).
% 0.14/0.35 cnf(pel12-26, negated_conjecture, ( _def9 | ~p3 )).
% 0.14/0.35 cnf(pel12-27, negated_conjecture, ( _def10 | p3 )).
% 0.14/0.35 cnf(pel12-28, negated_conjecture, ( _def10 | ~p2 )).
% 0.14/0.35 cnf(pel12-29, negated_conjecture, ( _def11 | ~p1 | p2 )).
% 0.14/0.35 cnf(pel12-30, negated_conjecture, ( _def11 | ~p2 | p1 )).
% 0.14/0.35 cnf(pel12-31, negated_conjecture, ( _def11 | ~p3 )).
% 0.14/0.35 cnf(pel12-32, negated_conjecture, ( _def14 | p3 )).
% 0.14/0.35 cnf(pel12-33, negated_conjecture, ( _def14 | ~_def12 | ~_def13 )).
% 0.14/0.35 cnf(pel12-34, negated_conjecture, ( _def12 | p1 )).
% 0.14/0.35 cnf(pel12-35, negated_conjecture, ( _def12 | ~p2 )).
% 0.14/0.35 cnf(pel12-36, negated_conjecture, ( _def13 | p2 )).
% 0.14/0.35 cnf(pel12-37, negated_conjecture, ( _def13 | ~p1 )).
% 0.14/0.35
% 0.14/0.35 % Problem matrix:
% 0.14/0.35 cnf(matrix-0, plain, ( ~_def7 | ~_def15 )).
% 0.14/0.35 cnf(matrix-1, plain, ( _def7 | ~_def0 | ~_def1 | p3 )).
% 0.14/0.35 cnf(matrix-2, plain, ( _def7 | ~p3 | ~_def2 )).
% 0.14/0.35 cnf(matrix-3, plain, ( _def7 | ~_def5 | ~_def6 )).
% 0.14/0.35 cnf(matrix-4, plain, ( _def0 | p1 )).
% 0.14/0.35 cnf(matrix-5, plain, ( _def0 | ~p2 )).
% 0.14/0.35 cnf(matrix-6, plain, ( _def1 | p2 )).
% 0.14/0.35 cnf(matrix-7, plain, ( _def1 | ~p1 )).
% 0.14/0.35 cnf(matrix-8, plain, ( _def2 | ~p1 | p2 )).
% 0.14/0.35 cnf(matrix-9, plain, ( _def2 | ~p2 | p1 )).
% 0.14/0.35 cnf(matrix-10, plain, ( _def5 | p1 )).
% 0.14/0.35 cnf(matrix-11, plain, ( _def5 | ~_def3 | ~_def4 )).
% 0.14/0.35 cnf(matrix-12, plain, ( _def3 | p2 )).
% 0.14/0.35 cnf(matrix-13, plain, ( _def3 | ~p3 )).
% 0.14/0.35 cnf(matrix-14, plain, ( _def4 | p3 )).
% 0.14/0.35 cnf(matrix-15, plain, ( _def4 | ~p2 )).
% 0.14/0.35 cnf(matrix-16, plain, ( _def6 | ~p2 | p3 )).
% 0.14/0.35 cnf(matrix-17, plain, ( _def6 | ~p3 | p2 )).
% 0.14/0.35 cnf(matrix-18, plain, ( _def6 | ~p1 )).
% 0.14/0.35 cnf(matrix-19, plain, ( _def15 | ~p1 | ~_def8 )).
% 0.14/0.35 cnf(matrix-20, plain, ( _def15 | ~_def9 | ~_def10 | p1 )).
% 0.14/0.35 cnf(matrix-21, plain, ( _def15 | ~_def11 | ~_def14 )).
% 0.14/0.35 cnf(matrix-22, plain, ( _def8 | ~p2 | p3 )).
% 0.14/0.35 cnf(matrix-23, plain, ( _def8 | ~p3 | p2 )).
% 0.14/0.35 cnf(matrix-24, plain, ( _def9 | p2 )).
% 0.14/0.35 cnf(matrix-25, plain, ( _def9 | ~p3 )).
% 0.14/0.35 cnf(matrix-26, plain, ( _def10 | p3 )).
% 0.14/0.35 cnf(matrix-27, plain, ( _def10 | ~p2 )).
% 0.14/0.35 cnf(matrix-28, plain, ( _def11 | ~p1 | p2 )).
% 0.14/0.35 cnf(matrix-29, plain, ( _def11 | ~p2 | p1 )).
% 0.14/0.35 cnf(matrix-30, plain, ( _def11 | ~p3 )).
% 0.14/0.35 cnf(matrix-31, plain, ( _def14 | p3 )).
% 0.14/0.35 cnf(matrix-32, plain, ( _def14 | ~_def12 | ~_def13 )).
% 0.14/0.35 cnf(matrix-33, plain, ( _def12 | p1 )).
% 0.14/0.35 cnf(matrix-34, plain, ( _def12 | ~p2 )).
% 0.14/0.35 cnf(matrix-35, plain, ( _def13 | p2 )).
% 0.14/0.35 cnf(matrix-36, plain, ( _def13 | ~p1 )).
% 0.14/0.35
% 0.14/0.35 % Proof stack:
% 0.14/0.35 cnf(proof-stack, plain,
% 0.14/0.35 proof_stack(
% 0.14/0.35 start(0),
% 0.14/0.35 left_branch(0, 3, 0, 2),
% 0.14/0.35 left_branch(0, 17, 0, 3),
% 0.14/0.35 left_branch(0, 16, 1, 4),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 left_branch(0, 2, 1, 6),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 9, 0, 8),
% 0.14/0.35 left_branch(0, 18, 1, 9),
% 0.14/0.35 lemmata(0, 0),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(8),
% 0.14/0.35 right_branch(6),
% 0.14/0.35 right_branch(4),
% 0.14/0.35 left_branch(0, 1, 3, 5),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 6, 0, 7),
% 0.14/0.35 lemmata(0, 0),
% 0.14/0.35 right_branch(7),
% 0.14/0.35 left_branch(0, 4, 0, 8),
% 0.14/0.35 left_branch(0, 18, 1, 9),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 right_branch(8),
% 0.14/0.35 right_branch(5),
% 0.14/0.35 right_branch(3),
% 0.14/0.35 left_branch(0, 11, 0, 4),
% 0.14/0.35 left_branch(0, 15, 0, 5),
% 0.14/0.35 left_branch(0, 8, 2, 6),
% 0.14/0.35 left_branch(0, 2, 2, 7),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 14, 1, 9),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 right_branch(7),
% 0.14/0.35 left_branch(0, 10, 1, 8),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 right_branch(8),
% 0.14/0.35 right_branch(6),
% 0.14/0.35 right_branch(5),
% 0.14/0.35 left_branch(0, 13, 0, 6),
% 0.14/0.35 left_branch(0, 1, 3, 7),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 7, 0, 9),
% 0.14/0.35 left_branch(0, 10, 1, 10),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 right_branch(10),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 left_branch(0, 5, 0, 10),
% 0.14/0.35 left_branch(0, 12, 1, 11),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(11),
% 0.14/0.35 right_branch(10),
% 0.14/0.35 right_branch(7),
% 0.14/0.35 right_branch(6),
% 0.14/0.35 right_branch(4),
% 0.14/0.35 right_branch(2),
% 0.14/0.35 left_branch(0, 21, 0, 3),
% 0.14/0.35 left_branch(0, 32, 0, 4),
% 0.14/0.35 left_branch(0, 36, 0, 5),
% 0.14/0.35 left_branch(0, 20, 3, 6),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 27, 0, 8),
% 0.14/0.35 left_branch(0, 35, 1, 9),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 right_branch(8),
% 0.14/0.35 left_branch(0, 25, 0, 9),
% 0.14/0.35 left_branch(0, 31, 1, 10),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 right_branch(10),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 right_branch(6),
% 0.14/0.35 right_branch(5),
% 0.14/0.35 left_branch(0, 34, 0, 6),
% 0.14/0.35 left_branch(0, 23, 2, 7),
% 0.14/0.35 left_branch(0, 19, 2, 8),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 33, 1, 10),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(10),
% 0.14/0.35 right_branch(8),
% 0.14/0.35 left_branch(0, 31, 1, 9),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 right_branch(7),
% 0.14/0.35 right_branch(6),
% 0.14/0.35 right_branch(4),
% 0.14/0.35 left_branch(0, 29, 0, 5),
% 0.14/0.35 left_branch(0, 28, 1, 6),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 left_branch(0, 22, 1, 8),
% 0.14/0.35 left_branch(0, 19, 2, 9),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 left_branch(0, 30, 1, 10),
% 0.14/0.35 lemmata(0, 2),
% 0.14/0.35 right_branch(10),
% 0.14/0.35 right_branch(8),
% 0.14/0.35 right_branch(6),
% 0.14/0.35 left_branch(0, 28, 2, 7),
% 0.14/0.35 reduction(0, 1),
% 0.14/0.35 left_branch(0, 20, 3, 9),
% 0.14/0.35 reduction(0, 0),
% 0.14/0.35 left_branch(0, 26, 0, 11),
% 0.14/0.35 left_branch(0, 30, 1, 12),
% 0.14/0.35 lemmata(0, 3),
% 0.14/0.35 right_branch(12),
% 0.14/0.35 right_branch(11),
% 0.14/0.35 left_branch(0, 24, 0, 12),
% 0.14/0.35 reduction(0, 2),
% 0.14/0.35 right_branch(12),
% 0.14/0.35 right_branch(9),
% 0.14/0.35 right_branch(7),
% 0.14/0.35 right_branch(5),
% 0.14/0.35 right_branch(3)
% 0.14/0.35 )).
% 0.14/0.35 % SZS output end Proof for theBenchmark
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