TSTP Solution File: PUZ026-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : PUZ026-1 : 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 : n005.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 14:28:59 EDT 2024

% Result   : Unsatisfiable 15.45s 15.62s
% Output   : Proof 15.45s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PUZ026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n005.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 : Wed Mar 20 23:16:45 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 15.45/15.62  % SZS status Unsatisfiable for theBenchmark
% 15.45/15.62  % SZS output start Proof for theBenchmark
% 15.45/15.62  
% 15.45/15.62  % Problem matrix:
% 15.45/15.62  cnf(matrix-0, plain, ( a_truth(truthteller(X)) | a_truth(liar(X)) | a_truth(normal(X)) )).
% 15.45/15.62  cnf(matrix-1, plain, ( ~a_truth(truthteller(X)) | ~a_truth(normal(X)) )).
% 15.45/15.62  cnf(matrix-2, plain, ( ~a_truth(truthteller(X)) | ~a_truth(liar(X)) )).
% 15.45/15.62  cnf(matrix-3, plain, ( ~a_truth(liar(X)) | ~a_truth(normal(X)) )).
% 15.45/15.62  cnf(matrix-4, plain, ( ~a_truth(truthteller(X)) | ~a_truth(says(X, Y)) | a_truth(Y) )).
% 15.45/15.62  cnf(matrix-5, plain, ( ~a_truth(liar(X)) | ~a_truth(says(X, Y)) | ~a_truth(Y) )).
% 15.45/15.62  cnf(matrix-6, plain, ( ~a_truth(X) | ~a_truth(says(Y, X)) | a_truth(truthteller(Y)) | a_truth(normal(Y)) )).
% 15.45/15.62  cnf(matrix-7, plain, ( a_truth(X) | ~a_truth(says(Y, X)) | a_truth(liar(Y)) | a_truth(normal(Y)) )).
% 15.45/15.62  cnf(matrix-8, plain, ( ~a_truth(not_normal(X)) | ~a_truth(normal(X)) )).
% 15.45/15.62  cnf(matrix-9, plain, ( a_truth(not_normal(X)) | a_truth(normal(X)) )).
% 15.45/15.62  cnf(matrix-10, plain, ( ~people(X, Y, Z) | ~a_truth(truthteller(X)) | ~a_truth(truthteller(Y)) )).
% 15.45/15.62  cnf(matrix-11, plain, ( ~people(X, Y, Z) | ~a_truth(truthteller(X)) | ~a_truth(truthteller(Z)) )).
% 15.45/15.62  cnf(matrix-12, plain, ( ~people(X, Y, Z) | ~a_truth(liar(X)) | ~a_truth(liar(Y)) )).
% 15.45/15.62  cnf(matrix-13, plain, ( ~people(X, Y, Z) | ~a_truth(liar(X)) | ~a_truth(liar(Z)) )).
% 15.45/15.62  cnf(matrix-14, plain, ( ~people(X, Y, Z) | ~a_truth(normal(X)) | ~a_truth(normal(Y)) )).
% 15.45/15.62  cnf(matrix-15, plain, ( ~people(X, Y, Z) | ~a_truth(normal(X)) | ~a_truth(normal(Z)) )).
% 15.45/15.62  cnf(matrix-16, plain, ( people(a, b, c) )).
% 15.45/15.62  cnf(matrix-17, plain, ( people(b, c, a) )).
% 15.45/15.62  cnf(matrix-18, plain, ( people(c, b, a) )).
% 15.45/15.62  cnf(matrix-19, plain, ( a_truth(says(a, normal(a))) )).
% 15.45/15.62  cnf(matrix-20, plain, ( a_truth(says(b, normal(a))) )).
% 15.45/15.62  cnf(matrix-21, plain, ( a_truth(says(c, not_normal(c))) )).
% 15.45/15.62  cnf(matrix-22, plain, ( ~a_truth(liar(Liar)) | ~a_truth(normal(Normal)) | ~a_truth(truthteller(Truthteller)) )).
% 15.45/15.62  
% 15.45/15.62  % Proof stack:
% 15.45/15.62  cnf(proof-stack, plain, 
% 15.45/15.62  proof_stack(
% 15.45/15.62  start(22), 
% 15.45/15.62  left_branch(0, 0, 1, 2), 
% 15.45/15.62  left_branch(0, 22, 2, 3), 
% 15.45/15.62  left_branch(0, 0, 1, 4), 
% 15.45/15.62  left_branch(0, 22, 2, 5), 
% 15.45/15.62  left_branch(0, 0, 1, 6), 
% 15.45/15.62  left_branch(0, 11, 2, 7), 
% 15.45/15.62  left_branch(0, 18, 0, 8), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  left_branch(0, 1, 1, 8), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  right_branch(6), 
% 15.45/15.62  left_branch(0, 0, 2, 7), 
% 15.45/15.62  left_branch(0, 11, 2, 8), 
% 15.45/15.62  left_branch(0, 18, 0, 9), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  reduction(0, 0), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  right_branch(5), 
% 15.45/15.62  left_branch(0, 15, 2, 6), 
% 15.45/15.62  left_branch(0, 16, 0, 7), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  left_branch(0, 7, 3, 8), 
% 15.45/15.62  reduction(0, 4), 
% 15.45/15.62  reduction(0, 0), 
% 15.45/15.62  left_branch(0, 19, 0, 11), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  right_branch(6), 
% 15.45/15.62  right_branch(4), 
% 15.45/15.62  left_branch(0, 9, 1, 5), 
% 15.45/15.62  left_branch(0, 6, 0, 6), 
% 15.45/15.62  reduction(0, 2), 
% 15.45/15.62  left_branch(0, 11, 1, 8), 
% 15.45/15.62  left_branch(0, 18, 0, 9), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  left_branch(0, 21, 0, 9), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  right_branch(6), 
% 15.45/15.62  right_branch(5), 
% 15.45/15.62  right_branch(3), 
% 15.45/15.62  left_branch(0, 15, 2, 4), 
% 15.45/15.62  left_branch(0, 18, 0, 5), 
% 15.45/15.62  right_branch(5), 
% 15.45/15.62  left_branch(0, 0, 2, 6), 
% 15.45/15.62  left_branch(0, 10, 2, 7), 
% 15.45/15.62  left_branch(0, 17, 0, 8), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  left_branch(0, 0, 0, 9), 
% 15.45/15.62  left_branch(0, 15, 1, 10), 
% 15.45/15.62  left_branch(0, 17, 0, 11), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  left_branch(0, 22, 0, 11), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  left_branch(0, 12, 2, 8), 
% 15.45/15.62  left_branch(0, 17, 0, 9), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  left_branch(0, 0, 1, 10), 
% 15.45/15.62  left_branch(0, 22, 2, 11), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  left_branch(0, 15, 1, 12), 
% 15.45/15.62  left_branch(0, 17, 0, 13), 
% 15.45/15.62  right_branch(13), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(12), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  right_branch(6), 
% 15.45/15.62  right_branch(4), 
% 15.45/15.62  right_branch(2), 
% 15.45/15.62  left_branch(0, 0, 0, 3), 
% 15.45/15.62  left_branch(0, 15, 2, 4), 
% 15.45/15.62  left_branch(0, 18, 0, 5), 
% 15.45/15.62  right_branch(5), 
% 15.45/15.62  left_branch(0, 0, 2, 6), 
% 15.45/15.62  left_branch(0, 10, 2, 7), 
% 15.45/15.62  left_branch(0, 17, 0, 8), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  left_branch(0, 0, 0, 9), 
% 15.45/15.62  left_branch(0, 15, 1, 10), 
% 15.45/15.62  left_branch(0, 17, 0, 11), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  left_branch(0, 22, 0, 11), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  left_branch(0, 13, 2, 8), 
% 15.45/15.62  left_branch(0, 16, 0, 9), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  lemmata(0, 0), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  right_branch(6), 
% 15.45/15.62  right_branch(4), 
% 15.45/15.62  left_branch(0, 13, 2, 5), 
% 15.45/15.62  left_branch(0, 18, 0, 6), 
% 15.45/15.62  right_branch(6), 
% 15.45/15.62  left_branch(0, 0, 1, 7), 
% 15.45/15.62  left_branch(0, 10, 2, 8), 
% 15.45/15.62  left_branch(0, 17, 0, 9), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  left_branch(0, 0, 0, 10), 
% 15.45/15.62  left_branch(0, 22, 1, 11), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  left_branch(0, 13, 1, 12), 
% 15.45/15.62  left_branch(0, 17, 0, 13), 
% 15.45/15.62  right_branch(13), 
% 15.45/15.62  lemmata(0, 0), 
% 15.45/15.62  right_branch(12), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  left_branch(0, 14, 2, 9), 
% 15.45/15.62  left_branch(0, 17, 0, 10), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  left_branch(0, 0, 2, 11), 
% 15.45/15.62  left_branch(0, 22, 2, 12), 
% 15.45/15.62  reduction(0, 1), 
% 15.45/15.62  reduction(0, 3), 
% 15.45/15.62  right_branch(12), 
% 15.45/15.62  left_branch(0, 13, 1, 13), 
% 15.45/15.62  left_branch(0, 17, 0, 14), 
% 15.45/15.62  right_branch(14), 
% 15.45/15.62  lemmata(0, 0), 
% 15.45/15.62  right_branch(13), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  right_branch(5), 
% 15.45/15.62  right_branch(3), 
% 15.45/15.62  left_branch(0, 9, 1, 4), 
% 15.45/15.62  left_branch(0, 6, 0, 5), 
% 15.45/15.62  reduction(0, 0), 
% 15.45/15.62  left_branch(0, 22, 2, 7), 
% 15.45/15.62  left_branch(0, 0, 1, 8), 
% 15.45/15.62  left_branch(0, 11, 2, 9), 
% 15.45/15.62  left_branch(0, 18, 0, 10), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  reduction(0, 2), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  left_branch(0, 1, 1, 10), 
% 15.45/15.62  lemmata(0, 1), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  left_branch(0, 0, 2, 9), 
% 15.45/15.62  left_branch(0, 11, 2, 10), 
% 15.45/15.62  left_branch(0, 18, 0, 11), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  reduction(0, 2), 
% 15.45/15.62  right_branch(10), 
% 15.45/15.62  left_branch(0, 2, 1, 11), 
% 15.45/15.62  lemmata(0, 1), 
% 15.45/15.62  right_branch(11), 
% 15.45/15.62  right_branch(9), 
% 15.45/15.62  right_branch(7), 
% 15.45/15.62  left_branch(0, 21, 0, 8), 
% 15.45/15.62  right_branch(8), 
% 15.45/15.62  right_branch(5), 
% 15.45/15.62  right_branch(4)
% 15.45/15.62  )).
% 15.45/15.62  % SZS output end Proof for theBenchmark
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