TSTP Solution File: SYN036-3 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n010.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 14:41:34 EDT 2024

% Result   : Unsatisfiable 12.63s 12.81s
% Output   : Proof 12.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Mar 20 22:26:33 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 12.63/12.81  % SZS status Unsatisfiable for theBenchmark
% 12.63/12.81  % SZS output start Proof for theBenchmark
% 12.63/12.81  
% 12.63/12.81  % Problem matrix:
% 12.63/12.81  cnf(matrix-0, plain, ( ~n2 | ~n9 | ~n6 | ~n10 )).
% 12.63/12.81  cnf(matrix-1, plain, ( ~n2 | ~n9 | n6 | n10 )).
% 12.63/12.81  cnf(matrix-2, plain, ( n2 | n9 | ~n6 | ~n10 )).
% 12.63/12.81  cnf(matrix-3, plain, ( n2 | n9 | n6 | n10 )).
% 12.63/12.81  cnf(matrix-4, plain, ( ~n2 | n9 | ~n6 | n10 )).
% 12.63/12.81  cnf(matrix-5, plain, ( ~n2 | n9 | n6 | ~n10 )).
% 12.63/12.81  cnf(matrix-6, plain, ( n2 | ~n9 | ~n6 | n10 )).
% 12.63/12.81  cnf(matrix-7, plain, ( n2 | ~n9 | n6 | ~n10 )).
% 12.63/12.81  cnf(matrix-8, plain, ( ~p(s8) | n8 )).
% 12.63/12.81  cnf(matrix-9, plain, ( ~n8 | p(X8) )).
% 12.63/12.81  cnf(matrix-10, plain, ( ~p(X7) | n7 )).
% 12.63/12.81  cnf(matrix-11, plain, ( ~n7 | p(s7) )).
% 12.63/12.81  cnf(matrix-12, plain, ( ~n5(X6) | n6 )).
% 12.63/12.81  cnf(matrix-13, plain, ( ~n6 | n5(s6) )).
% 12.63/12.81  cnf(matrix-14, plain, ( ~q(X) | ~q(s5(X)) | n5(X) )).
% 12.63/12.81  cnf(matrix-15, plain, ( q(X) | q(s5(X)) | n5(X) )).
% 12.63/12.81  cnf(matrix-16, plain, ( ~n5(X) | ~q(X) | q(X5) )).
% 12.63/12.81  cnf(matrix-17, plain, ( ~n5(X) | q(X) | ~q(X5) )).
% 12.63/12.81  cnf(matrix-18, plain, ( ~q(s4) | n4 )).
% 12.63/12.81  cnf(matrix-19, plain, ( ~n4 | q(X4) )).
% 12.63/12.81  cnf(matrix-20, plain, ( ~q(X3) | n3 )).
% 12.63/12.81  cnf(matrix-21, plain, ( ~n3 | q(s3) )).
% 12.63/12.81  cnf(matrix-22, plain, ( ~n1(X2) | n2 )).
% 12.63/12.81  cnf(matrix-23, plain, ( ~n2 | n1(s2) )).
% 12.63/12.81  cnf(matrix-24, plain, ( ~p(X) | ~p(s1(X)) | n1(X) )).
% 12.63/12.81  cnf(matrix-25, plain, ( p(X) | p(s1(X)) | n1(X) )).
% 12.63/12.81  cnf(matrix-26, plain, ( ~n1(X) | ~p(X) | p(X1) )).
% 12.63/12.81  cnf(matrix-27, plain, ( ~n1(X) | p(X) | ~p(X1) )).
% 12.63/12.81  cnf(matrix-28, plain, ( ~n3 | ~n4 | n9 )).
% 12.63/12.81  cnf(matrix-29, plain, ( n3 | n4 | n9 )).
% 12.63/12.81  cnf(matrix-30, plain, ( ~n3 | n4 | ~n9 )).
% 12.63/12.81  cnf(matrix-31, plain, ( n3 | ~n4 | ~n9 )).
% 12.63/12.81  cnf(matrix-32, plain, ( ~n7 | ~n8 | n10 )).
% 12.63/12.81  cnf(matrix-33, plain, ( n7 | n8 | n10 )).
% 12.63/12.81  cnf(matrix-34, plain, ( ~n7 | n8 | ~n10 )).
% 12.63/12.81  cnf(matrix-35, plain, ( n7 | ~n8 | ~n10 )).
% 12.63/12.81  
% 12.63/12.81  % Proof stack:
% 12.63/12.81  cnf(proof-stack, plain, 
% 12.63/12.81  proof_stack(
% 12.63/12.81  start(0), 
% 12.63/12.81  left_branch(0, 6, 0, 2), 
% 12.63/12.81  left_branch(0, 35, 2, 3), 
% 12.63/12.81  left_branch(0, 34, 0, 4), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  left_branch(0, 9, 0, 6), 
% 12.63/12.81  left_branch(0, 24, 1, 7), 
% 12.63/12.81  left_branch(0, 11, 1, 8), 
% 12.63/12.81  reduction(0, 2), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  left_branch(0, 22, 0, 9), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  right_branch(4), 
% 12.63/12.81  left_branch(0, 34, 1, 5), 
% 12.63/12.81  left_branch(0, 10, 1, 6), 
% 12.63/12.81  left_branch(0, 25, 1, 7), 
% 12.63/12.81  left_branch(0, 10, 0, 8), 
% 12.63/12.81  lemmata(0, 0), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  left_branch(0, 22, 0, 9), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(5), 
% 12.63/12.81  right_branch(3), 
% 12.63/12.81  left_branch(0, 3, 2, 4), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  lemmata(0, 0), 
% 12.63/12.81  left_branch(0, 30, 2, 7), 
% 12.63/12.81  left_branch(0, 20, 1, 8), 
% 12.63/12.81  left_branch(0, 15, 1, 9), 
% 12.63/12.81  left_branch(0, 20, 0, 10), 
% 12.63/12.81  reduction(0, 3), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  left_branch(0, 12, 0, 11), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(11), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  left_branch(0, 19, 0, 9), 
% 12.63/12.81  left_branch(0, 14, 1, 10), 
% 12.63/12.81  left_branch(0, 21, 1, 11), 
% 12.63/12.81  lemmata(0, 2), 
% 12.63/12.81  right_branch(11), 
% 12.63/12.81  left_branch(0, 12, 0, 12), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(12), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(4), 
% 12.63/12.81  left_branch(0, 28, 2, 5), 
% 12.63/12.81  left_branch(0, 29, 0, 6), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  left_branch(0, 19, 0, 8), 
% 12.63/12.81  left_branch(0, 20, 0, 9), 
% 12.63/12.81  reduction(0, 2), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  left_branch(0, 18, 1, 7), 
% 12.63/12.81  left_branch(0, 16, 2, 8), 
% 12.63/12.81  left_branch(0, 13, 1, 9), 
% 12.63/12.81  lemmata(0, 1), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  left_branch(0, 17, 1, 10), 
% 12.63/12.81  lemmata(0, 3), 
% 12.63/12.81  left_branch(0, 21, 1, 12), 
% 12.63/12.81  lemmata(0, 2), 
% 12.63/12.81  right_branch(12), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(5), 
% 12.63/12.81  right_branch(2), 
% 12.63/12.81  left_branch(0, 33, 2, 3), 
% 12.63/12.81  left_branch(0, 32, 0, 4), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  left_branch(0, 8, 1, 6), 
% 12.63/12.81  left_branch(0, 26, 2, 7), 
% 12.63/12.81  left_branch(0, 23, 1, 8), 
% 12.63/12.81  lemmata(0, 0), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  left_branch(0, 27, 1, 9), 
% 12.63/12.81  lemmata(0, 2), 
% 12.63/12.81  left_branch(0, 11, 1, 11), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(11), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  right_branch(4), 
% 12.63/12.81  left_branch(0, 32, 1, 5), 
% 12.63/12.81  left_branch(0, 10, 1, 6), 
% 12.63/12.81  left_branch(0, 27, 1, 7), 
% 12.63/12.81  left_branch(0, 25, 2, 8), 
% 12.63/12.81  reduction(0, 3), 
% 12.63/12.81  left_branch(0, 10, 0, 10), 
% 12.63/12.81  lemmata(0, 1), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  left_branch(0, 27, 1, 9), 
% 12.63/12.81  left_branch(0, 25, 2, 10), 
% 12.63/12.81  reduction(0, 4), 
% 12.63/12.81  reduction(0, 3), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  left_branch(0, 9, 1, 11), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(11), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  right_branch(5), 
% 12.63/12.81  right_branch(3), 
% 12.63/12.81  left_branch(0, 12, 1, 4), 
% 12.63/12.81  left_branch(0, 15, 2, 5), 
% 12.63/12.81  left_branch(0, 20, 0, 6), 
% 12.63/12.81  left_branch(0, 30, 0, 7), 
% 12.63/12.81  left_branch(0, 28, 2, 8), 
% 12.63/12.81  reduction(0, 3), 
% 12.63/12.81  left_branch(0, 18, 1, 10), 
% 12.63/12.81  reduction(0, 2), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  left_branch(0, 19, 0, 9), 
% 12.63/12.81  left_branch(0, 14, 1, 10), 
% 12.63/12.81  reduction(0, 2), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  left_branch(0, 20, 0, 7), 
% 12.63/12.81  left_branch(0, 30, 0, 8), 
% 12.63/12.81  left_branch(0, 5, 1, 9), 
% 12.63/12.81  lemmata(0, 0), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  lemmata(0, 1), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  left_branch(0, 19, 0, 10), 
% 12.63/12.81  left_branch(0, 14, 0, 11), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  reduction(0, 2), 
% 12.63/12.81  right_branch(11), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(5), 
% 12.63/12.81  right_branch(4), 
% 12.63/12.81  left_branch(0, 29, 2, 5), 
% 12.63/12.81  left_branch(0, 28, 0, 6), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  left_branch(0, 18, 1, 8), 
% 12.63/12.81  left_branch(0, 16, 2, 9), 
% 12.63/12.81  left_branch(0, 13, 1, 10), 
% 12.63/12.81  lemmata(0, 2), 
% 12.63/12.81  right_branch(10), 
% 12.63/12.81  left_branch(0, 17, 1, 11), 
% 12.63/12.81  lemmata(0, 4), 
% 12.63/12.81  left_branch(0, 21, 1, 13), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(13), 
% 12.63/12.81  right_branch(11), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  right_branch(6), 
% 12.63/12.81  left_branch(0, 28, 1, 7), 
% 12.63/12.81  left_branch(0, 20, 1, 8), 
% 12.63/12.81  left_branch(0, 19, 1, 9), 
% 12.63/12.81  reduction(0, 1), 
% 12.63/12.81  right_branch(9), 
% 12.63/12.81  right_branch(8), 
% 12.63/12.81  reduction(0, 0), 
% 12.63/12.81  right_branch(7), 
% 12.63/12.81  right_branch(5)
% 12.63/12.81  )).
% 12.63/12.81  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------