TSTP Solution File: PUZ027-1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : PUZ027-1 : 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 : n027.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 : Wed Mar 6 09:17:07 EST 2024
% Result : Unsatisfiable 2.24s 2.42s
% Output : Proof 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ027-1 : 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 : n027.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 : Sun Mar 3 21:56:12 EST 2024
% 0.13/0.34 % CPUTime :
% 2.24/2.42 % SZS status Unsatisfiable for theBenchmark
% 2.24/2.42 % SZS output start Proof for theBenchmark
% 2.24/2.42
% 2.24/2.42 % Problem matrix:
% 2.24/2.42 cnf(matrix-0, plain, ( a_truth(truthteller(X)) | a_truth(liar(X)) | a_truth(normal(X)) )).
% 2.24/2.42 cnf(matrix-1, plain, ( ~a_truth(truthteller(X)) | ~a_truth(normal(X)) )).
% 2.24/2.42 cnf(matrix-2, plain, ( ~a_truth(truthteller(X)) | ~a_truth(liar(X)) )).
% 2.24/2.42 cnf(matrix-3, plain, ( ~a_truth(liar(X)) | ~a_truth(normal(X)) )).
% 2.24/2.42 cnf(matrix-4, plain, ( ~a_truth(truthteller(X)) | ~a_truth(says(X, Y)) | a_truth(Y) )).
% 2.24/2.42 cnf(matrix-5, plain, ( ~a_truth(liar(X)) | ~a_truth(says(X, Y)) | ~a_truth(Y) )).
% 2.24/2.42 cnf(matrix-6, plain, ( ~a_truth(X) | ~a_truth(says(Y, X)) | a_truth(truthteller(Y)) | a_truth(normal(Y)) )).
% 2.24/2.42 cnf(matrix-7, plain, ( a_truth(X) | ~a_truth(says(Y, X)) | a_truth(liar(Y)) | a_truth(normal(Y)) )).
% 2.24/2.42 cnf(matrix-8, plain, ( a_truth(not_lower(X, X)) )).
% 2.24/2.42 cnf(matrix-9, plain, ( ~a_truth(not_lower(X, Y)) | ~a_truth(lower(X, Y)) )).
% 2.24/2.42 cnf(matrix-10, plain, ( a_truth(not_lower(X, Y)) | a_truth(lower(X, Y)) )).
% 2.24/2.42 cnf(matrix-11, plain, ( ~a_truth(lower(X, Y)) | ~a_truth(liar(X)) | a_truth(normal(Y)) | a_truth(truthteller(Y)) )).
% 2.24/2.42 cnf(matrix-12, plain, ( ~a_truth(lower(X, Y)) | ~a_truth(normal(X)) | a_truth(truthteller(Y)) )).
% 2.24/2.42 cnf(matrix-13, plain, ( ~a_truth(lower(X, Y)) | ~a_truth(truthteller(X)) )).
% 2.24/2.42 cnf(matrix-14, plain, ( ~a_truth(lower(X, Y)) | ~a_truth(truthteller(Y)) | a_truth(normal(X)) | a_truth(liar(X)) )).
% 2.24/2.42 cnf(matrix-15, plain, ( ~a_truth(lower(X, Y)) | ~a_truth(normal(Y)) | a_truth(liar(X)) )).
% 2.24/2.42 cnf(matrix-16, plain, ( ~a_truth(lower(X, Y)) | ~a_truth(liar(Y)) )).
% 2.24/2.42 cnf(matrix-17, plain, ( ~a_truth(not_lower(X, Y)) | ~a_truth(truthteller(X)) | a_truth(truthteller(Y)) | a_truth(lower(Y, X)) )).
% 2.24/2.42 cnf(matrix-18, plain, ( ~a_truth(not_lower(X, Y)) | ~a_truth(liar(X)) | a_truth(liar(Y)) | a_truth(lower(Y, X)) )).
% 2.24/2.42 cnf(matrix-19, plain, ( ~a_truth(not_lower(X, Y)) | ~a_truth(normal(X)) | a_truth(normal(Y)) | a_truth(lower(Y, X)) )).
% 2.24/2.42 cnf(matrix-20, plain, ( a_truth(says(a, lower(a, b))) )).
% 2.24/2.42 cnf(matrix-21, plain, ( a_truth(says(b, not_lower(a, b))) )).
% 2.24/2.42 cnf(matrix-22, plain, ( ~a_truth(truthteller(a)) | ~a_truth(truthteller(b)) | answer(a_and_b_truthteller) )).
% 2.24/2.42 cnf(matrix-23, plain, ( ~a_truth(truthteller(a)) | ~a_truth(normal(b)) | answer(a_truthteller_b_normal) )).
% 2.24/2.42 cnf(matrix-24, plain, ( ~a_truth(truthteller(a)) | ~a_truth(liar(b)) | answer(a_truthteller_b_liar) )).
% 2.24/2.42 cnf(matrix-25, plain, ( ~a_truth(normal(a)) | ~a_truth(truthteller(b)) | answer(a_normal_b_truthteller) )).
% 2.24/2.42 cnf(matrix-26, plain, ( ~a_truth(normal(a)) | ~a_truth(normal(b)) | answer(a_and_b_normal) )).
% 2.24/2.42 cnf(matrix-27, plain, ( ~a_truth(normal(a)) | ~a_truth(liar(b)) | answer(a_normal_b_liar) )).
% 2.24/2.42 cnf(matrix-28, plain, ( ~a_truth(liar(a)) | ~a_truth(truthteller(b)) | answer(a_liar_b_truthteller) )).
% 2.24/2.42 cnf(matrix-29, plain, ( ~a_truth(liar(a)) | ~a_truth(normal(b)) | answer(a_liar_b_normal) )).
% 2.24/2.42 cnf(matrix-30, plain, ( ~a_truth(liar(a)) | ~a_truth(liar(b)) | answer(a_and_b_liar) )).
% 2.24/2.42 cnf(matrix-31, plain, ( ~answer(Answer) )).
% 2.24/2.42
% 2.24/2.42 % Proof stack:
% 2.24/2.42 cnf(proof-stack, plain,
% 2.24/2.42 proof_stack(
% 2.24/2.42 start(1),
% 2.24/2.42 left_branch(0, 0, 0, 2),
% 2.24/2.42 left_branch(0, 29, 1, 3),
% 2.24/2.42 left_branch(0, 0, 1, 4),
% 2.24/2.42 left_branch(0, 23, 0, 5),
% 2.24/2.42 left_branch(0, 31, 0, 6),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 reduction(0, 1),
% 2.24/2.42 right_branch(5),
% 2.24/2.42 left_branch(0, 26, 0, 6),
% 2.24/2.42 left_branch(0, 31, 0, 7),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 reduction(0, 1),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 right_branch(4),
% 2.24/2.42 left_branch(0, 31, 0, 5),
% 2.24/2.42 right_branch(5),
% 2.24/2.42 right_branch(3),
% 2.24/2.42 left_branch(0, 30, 1, 4),
% 2.24/2.42 left_branch(0, 0, 1, 5),
% 2.24/2.42 left_branch(0, 24, 0, 6),
% 2.24/2.42 left_branch(0, 31, 0, 7),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 reduction(0, 1),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 left_branch(0, 27, 0, 7),
% 2.24/2.42 left_branch(0, 31, 0, 8),
% 2.24/2.42 right_branch(8),
% 2.24/2.42 reduction(0, 1),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 right_branch(5),
% 2.24/2.42 left_branch(0, 31, 0, 6),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 right_branch(4),
% 2.24/2.42 right_branch(2),
% 2.24/2.42 left_branch(0, 0, 2, 3),
% 2.24/2.42 left_branch(0, 28, 1, 4),
% 2.24/2.42 left_branch(0, 0, 1, 5),
% 2.24/2.42 left_branch(0, 22, 0, 6),
% 2.24/2.42 left_branch(0, 31, 0, 7),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 lemmata(0, 0),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 left_branch(0, 25, 0, 7),
% 2.24/2.42 left_branch(0, 31, 0, 8),
% 2.24/2.42 right_branch(8),
% 2.24/2.42 lemmata(0, 0),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 right_branch(5),
% 2.24/2.42 left_branch(0, 31, 0, 6),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 right_branch(4),
% 2.24/2.42 left_branch(0, 30, 1, 5),
% 2.24/2.42 left_branch(0, 0, 1, 6),
% 2.24/2.42 left_branch(0, 24, 0, 7),
% 2.24/2.42 left_branch(0, 31, 0, 8),
% 2.24/2.42 right_branch(8),
% 2.24/2.42 reduction(0, 1),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 left_branch(0, 27, 0, 8),
% 2.24/2.42 left_branch(0, 31, 0, 9),
% 2.24/2.42 right_branch(9),
% 2.24/2.42 reduction(0, 1),
% 2.24/2.42 right_branch(8),
% 2.24/2.42 right_branch(6),
% 2.24/2.42 left_branch(0, 31, 0, 7),
% 2.24/2.42 right_branch(7),
% 2.24/2.42 right_branch(5),
% 2.24/2.42 right_branch(3)
% 2.24/2.42 )).
% 2.24/2.42 % SZS output end Proof for theBenchmark
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