TSTP Solution File: REL049-1 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n023.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 09:17:36 EST 2024

% Result   : Unsatisfiable 3.36s 3.55s
% Output   : Proof 3.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Mar  3 18:07:20 EST 2024
% 0.13/0.33  % CPUTime  : 
% 3.36/3.55  % SZS status Unsatisfiable for theBenchmark
% 3.36/3.55  % SZS output start Proof for theBenchmark
% 3.36/3.55  
% 3.36/3.55  % Problem matrix:
% 3.36/3.55  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 3.36/3.55  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 3.36/3.55  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 3.36/3.55  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( join(__eqx_0, __eqx_1) = join(__eqy_0, __eqy_1)) )).
% 3.36/3.55  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( complement(__eqx_0) = complement(__eqy_0)) )).
% 3.36/3.55  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( meet(__eqx_0, __eqx_1) = meet(__eqy_0, __eqy_1)) )).
% 3.36/3.55  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( composition(__eqx_0, __eqx_1) = composition(__eqy_0, __eqy_1)) )).
% 3.36/3.55  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( converse(__eqx_0) = converse(__eqy_0)) )).
% 3.36/3.55  cnf(matrix-8, plain, ( ( join(A, B) = join(B, A)) )).
% 3.36/3.55  cnf(matrix-9, plain, ( ( join(A, join(B, C)) = join(join(A, B), C)) )).
% 3.36/3.55  cnf(matrix-10, plain, ( ( A = join(complement(join(complement(A), complement(B))), complement(join(complement(A), B)))) )).
% 3.36/3.55  cnf(matrix-11, plain, ( ( meet(A, B) = complement(join(complement(A), complement(B)))) )).
% 3.36/3.55  cnf(matrix-12, plain, ( ( composition(A, composition(B, C)) = composition(composition(A, B), C)) )).
% 3.36/3.55  cnf(matrix-13, plain, ( ( composition(A, one) = A) )).
% 3.36/3.55  cnf(matrix-14, plain, ( ( composition(join(A, B), C) = join(composition(A, C), composition(B, C))) )).
% 3.36/3.55  cnf(matrix-15, plain, ( ( converse(converse(A)) = A) )).
% 3.36/3.55  cnf(matrix-16, plain, ( ( converse(join(A, B)) = join(converse(A), converse(B))) )).
% 3.36/3.55  cnf(matrix-17, plain, ( ( converse(composition(A, B)) = composition(converse(B), converse(A))) )).
% 3.36/3.55  cnf(matrix-18, plain, ( ( join(composition(converse(A), complement(composition(A, B))), complement(B)) = complement(B)) )).
% 3.36/3.55  cnf(matrix-19, plain, ( ( top = join(A, complement(A))) )).
% 3.36/3.55  cnf(matrix-20, plain, ( ( zero = meet(A, complement(A))) )).
% 3.36/3.55  cnf(matrix-21, plain, ( ( join(sk1, sk2) = sk2) )).
% 3.36/3.55  cnf(matrix-22, plain, ( ( join(sk3, sk2) = sk2) )).
% 3.36/3.55  cnf(matrix-23, plain, ( ( join(join(sk1, sk3), sk2) != sk2) )).
% 3.36/3.55  
% 3.36/3.55  % Proof stack:
% 3.36/3.55  cnf(proof-stack, plain, 
% 3.36/3.55  proof_stack(
% 3.36/3.55  start(23), 
% 3.36/3.55  left_branch(0, 2, 2, 2), 
% 3.36/3.55  left_branch(0, 2, 2, 3), 
% 3.36/3.55  left_branch(0, 3, 2, 4), 
% 3.36/3.55  left_branch(0, 8, 0, 5), 
% 3.36/3.55  right_branch(5), 
% 3.36/3.55  left_branch(0, 0, 0, 6), 
% 3.36/3.55  right_branch(6), 
% 3.36/3.55  right_branch(4), 
% 3.36/3.55  left_branch(0, 1, 1, 5), 
% 3.36/3.55  left_branch(0, 9, 0, 6), 
% 3.36/3.55  right_branch(6), 
% 3.36/3.55  right_branch(5), 
% 3.36/3.55  right_branch(3), 
% 3.36/3.55  left_branch(0, 2, 2, 4), 
% 3.36/3.55  left_branch(0, 3, 2, 5), 
% 3.36/3.55  left_branch(0, 0, 0, 6), 
% 3.36/3.55  right_branch(6), 
% 3.36/3.55  left_branch(0, 21, 0, 7), 
% 3.36/3.55  right_branch(7), 
% 3.36/3.55  right_branch(5), 
% 3.36/3.55  left_branch(0, 22, 0, 6), 
% 3.36/3.55  right_branch(6), 
% 3.36/3.55  right_branch(4), 
% 3.36/3.55  right_branch(2)
% 3.36/3.55  )).
% 3.36/3.55  % SZS output end Proof for theBenchmark
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