TSTP Solution File: LAT035-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LAT035-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n011.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 14:18:32 EDT 2024
% Result : Unsatisfiable 0.13s 0.34s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT035-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n011.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 15:54:57 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.34 % SZS output start Proof for theBenchmark
% 0.13/0.34
% 0.13/0.34 % Problem matrix:
% 0.13/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( meet(__eqx_0, __eqx_1) = meet(__eqy_0, __eqy_1)) )).
% 0.13/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( join(__eqx_0, __eqx_1) = join(__eqy_0, __eqy_1)) )).
% 0.13/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( k(__eqx_0) = k(__eqy_0)) )).
% 0.13/0.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( f(__eqx_0) = f(__eqy_0)) )).
% 0.13/0.34 cnf(matrix-7, plain, ( ( meet(X, X) = X) )).
% 0.13/0.34 cnf(matrix-8, plain, ( ( join(X, X) = X) )).
% 0.13/0.34 cnf(matrix-9, plain, ( ( meet(X, join(X, Y)) = X) )).
% 0.13/0.34 cnf(matrix-10, plain, ( ( join(X, meet(X, Y)) = X) )).
% 0.13/0.34 cnf(matrix-11, plain, ( ( meet(X, Y) = meet(Y, X)) )).
% 0.13/0.34 cnf(matrix-12, plain, ( ( join(X, Y) = join(Y, X)) )).
% 0.13/0.34 cnf(matrix-13, plain, ( ( meet(meet(X, Y), Z) = meet(X, meet(Y, Z))) )).
% 0.13/0.34 cnf(matrix-14, plain, ( ( join(join(X, Y), Z) = join(X, join(Y, Z))) )).
% 0.13/0.34 cnf(matrix-15, plain, ( ( meet(X, n0) = n0) )).
% 0.13/0.34 cnf(matrix-16, plain, ( ( join(X, n0) = X) )).
% 0.13/0.34 cnf(matrix-17, plain, ( ( meet(X, n1) = X) )).
% 0.13/0.34 cnf(matrix-18, plain, ( ( join(X, n1) = n1) )).
% 0.13/0.34 cnf(matrix-19, plain, ( ( meet(X, Z) != X) | ( meet(Z, join(X, Y)) = join(X, meet(Y, Z))) )).
% 0.13/0.34 cnf(matrix-20, plain, ( ( k(join(U, V)) = meet(k(U), k(V))) )).
% 0.13/0.34 cnf(matrix-21, plain, ( ( k(meet(U, V)) = join(k(U), k(V))) )).
% 0.13/0.34 cnf(matrix-22, plain, ( ( k(n0) = n1) )).
% 0.13/0.34 cnf(matrix-23, plain, ( ( k(n1) = n0) )).
% 0.13/0.34 cnf(matrix-24, plain, ( ( f(meet(U, V)) = join(f(U), f(V))) )).
% 0.13/0.34 cnf(matrix-25, plain, ( ( f(n1) = n0) )).
% 0.13/0.34 cnf(matrix-26, plain, ( ( f(k(join(aa, bb))) != join(f(k(aa)), f(k(bb)))) | ( f(k(n0)) != n0) )).
% 0.13/0.34
% 0.13/0.34 % Proof stack:
% 0.13/0.34 cnf(proof-stack, plain,
% 0.13/0.34 proof_stack(
% 0.13/0.34 start(26),
% 0.13/0.34 left_branch(0, 2, 2, 2),
% 0.13/0.34 left_branch(0, 6, 1, 3),
% 0.13/0.34 left_branch(0, 20, 0, 4),
% 0.13/0.34 right_branch(4),
% 0.13/0.34 right_branch(3),
% 0.13/0.34 left_branch(0, 24, 0, 4),
% 0.13/0.34 right_branch(4),
% 0.13/0.34 right_branch(2),
% 0.13/0.34 left_branch(0, 2, 2, 3),
% 0.13/0.34 left_branch(0, 6, 1, 4),
% 0.13/0.34 left_branch(0, 22, 0, 5),
% 0.13/0.34 right_branch(5),
% 0.13/0.34 right_branch(4),
% 0.13/0.34 left_branch(0, 25, 0, 5),
% 0.13/0.34 right_branch(5),
% 0.13/0.34 right_branch(3)
% 0.13/0.34 )).
% 0.13/0.34 % SZS output end Proof for theBenchmark
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