TSTP Solution File: PUZ025-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : PUZ025-1 : 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 : n003.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 0.18s 0.48s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n003.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 : Wed Mar 20 23:27:34 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% 0.18/0.48  
% 0.18/0.48  % Problem matrix:
% 0.18/0.48  cnf(matrix-0, plain, ( a_truth(truthteller(X)) | a_truth(liar(X)) )).
% 0.18/0.48  cnf(matrix-1, plain, ( ~a_truth(truthteller(X)) | ~a_truth(liar(X)) )).
% 0.18/0.48  cnf(matrix-2, plain, ( ~a_truth(truthteller(Truthteller)) | ~a_truth(says(Truthteller, Statement)) | a_truth(Statement) )).
% 0.18/0.48  cnf(matrix-3, plain, ( ~a_truth(liar(Liar)) | ~a_truth(says(Liar, Statement)) | ~a_truth(Statement) )).
% 0.18/0.48  cnf(matrix-4, plain, ( ~a_truth(Statement) | ~a_truth(says(Truthteller, Statement)) | a_truth(truthteller(Truthteller)) )).
% 0.18/0.48  cnf(matrix-5, plain, ( a_truth(Statement) | ~a_truth(says(Liar, Statement)) | a_truth(liar(Liar)) )).
% 0.18/0.48  cnf(matrix-6, plain, ( ~people(X, Y, Z) | ~a_truth(liar(X)) | ~a_truth(liar(Y)) | a_truth(equal_type(X, Y)) )).
% 0.18/0.48  cnf(matrix-7, plain, ( ~people(X, Y, Z) | ~a_truth(truthteller(X)) | ~a_truth(truthteller(Y)) | a_truth(equal_type(X, Y)) )).
% 0.18/0.48  cnf(matrix-8, plain, ( ~a_truth(equal_type(X, Y)) | ~a_truth(truthteller(X)) | a_truth(truthteller(Y)) )).
% 0.18/0.48  cnf(matrix-9, plain, ( ~a_truth(equal_type(X, Y)) | ~a_truth(liar(X)) | a_truth(liar(Y)) )).
% 0.18/0.48  cnf(matrix-10, plain, ( ~a_truth(truthteller(X)) | a_truth(equal_type(X, Y)) | a_truth(liar(Y)) )).
% 0.18/0.48  cnf(matrix-11, plain, ( ~a_truth(liar(X)) | a_truth(equal_type(X, Y)) | a_truth(truthteller(Y)) )).
% 0.18/0.48  cnf(matrix-12, plain, ( ~a_truth(equal_type(X, Y)) | a_truth(equal_type(Y, X)) )).
% 0.18/0.48  cnf(matrix-13, plain, ( ~ask_1_if_2(X, Y) | ~a_truth(truthteller(X)) | ~a_truth(Y) | answer(yes) )).
% 0.18/0.48  cnf(matrix-14, plain, ( ~ask_1_if_2(X, Y) | ~a_truth(truthteller(X)) | a_truth(Y) | answer(no) )).
% 0.18/0.48  cnf(matrix-15, plain, ( ~ask_1_if_2(X, Y) | ~a_truth(liar(X)) | ~a_truth(Y) | answer(no) )).
% 0.18/0.48  cnf(matrix-16, plain, ( ~ask_1_if_2(X, Y) | ~a_truth(liar(X)) | a_truth(Y) | answer(yes) )).
% 0.18/0.48  cnf(matrix-17, plain, ( people(b, c, a) )).
% 0.18/0.48  cnf(matrix-18, plain, ( people(a, b, a) )).
% 0.18/0.48  cnf(matrix-19, plain, ( people(a, c, b) )).
% 0.18/0.48  cnf(matrix-20, plain, ( people(c, b, a) )).
% 0.18/0.48  cnf(matrix-21, plain, ( a_truth(says(a, equal_type(b, c))) )).
% 0.18/0.48  cnf(matrix-22, plain, ( ask_1_if_2(c, equal_type(a, b)) )).
% 0.18/0.48  cnf(matrix-23, plain, ( ~answer(Answer) )).
% 0.18/0.48  
% 0.18/0.48  % Proof stack:
% 0.18/0.48  cnf(proof-stack, plain, 
% 0.18/0.48  proof_stack(
% 0.18/0.48  start(1), 
% 0.18/0.48  left_branch(0, 0, 0, 2), 
% 0.18/0.48  left_branch(0, 16, 1, 3), 
% 0.18/0.48  left_branch(0, 22, 0, 4), 
% 0.18/0.48  right_branch(4), 
% 0.18/0.48  left_branch(0, 15, 2, 5), 
% 0.18/0.48  left_branch(0, 22, 0, 6), 
% 0.18/0.48  right_branch(6), 
% 0.18/0.48  left_branch(0, 23, 0, 7), 
% 0.18/0.48  right_branch(7), 
% 0.18/0.48  reduction(0, 1), 
% 0.18/0.48  right_branch(5), 
% 0.18/0.48  left_branch(0, 23, 0, 6), 
% 0.18/0.48  right_branch(6), 
% 0.18/0.48  right_branch(3), 
% 0.18/0.48  right_branch(2), 
% 0.18/0.48  left_branch(0, 0, 1, 3), 
% 0.18/0.48  left_branch(0, 14, 1, 4), 
% 0.18/0.48  left_branch(0, 22, 0, 5), 
% 0.18/0.48  right_branch(5), 
% 0.18/0.48  left_branch(0, 13, 2, 6), 
% 0.18/0.48  left_branch(0, 22, 0, 7), 
% 0.18/0.48  right_branch(7), 
% 0.18/0.48  left_branch(0, 23, 0, 8), 
% 0.18/0.48  right_branch(8), 
% 0.18/0.48  lemmata(0, 0), 
% 0.18/0.48  right_branch(6), 
% 0.18/0.48  left_branch(0, 23, 0, 7), 
% 0.18/0.48  right_branch(7), 
% 0.18/0.48  right_branch(4), 
% 0.18/0.48  right_branch(3)
% 0.18/0.48  )).
% 0.18/0.48  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------