TSTP Solution File: RNG023-7 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : RNG023-7 : 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 : n024.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 14:29:44 EDT 2024
% Result : Unsatisfiable 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n024.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 : Thu Mar 21 00:08:46 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.36 % SZS output start Proof for theBenchmark
% 0.19/0.36
% 0.19/0.36 % Problem matrix:
% 0.19/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( add(__eqx_0, __eqx_1) = add(__eqy_0, __eqy_1)) )).
% 0.19/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 0.19/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( additive_inverse(__eqx_0) = additive_inverse(__eqy_0)) )).
% 0.19/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( associator(__eqx_0, __eqx_1, __eqx_2) = associator(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.19/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( commutator(__eqx_0, __eqx_1) = commutator(__eqy_0, __eqy_1)) )).
% 0.19/0.36 cnf(matrix-8, plain, ( ( add(additive_identity, X) = X) )).
% 0.19/0.36 cnf(matrix-9, plain, ( ( add(X, additive_identity) = X) )).
% 0.19/0.36 cnf(matrix-10, plain, ( ( multiply(additive_identity, X) = additive_identity) )).
% 0.19/0.36 cnf(matrix-11, plain, ( ( multiply(X, additive_identity) = additive_identity) )).
% 0.19/0.36 cnf(matrix-12, plain, ( ( add(additive_inverse(X), X) = additive_identity) )).
% 0.19/0.36 cnf(matrix-13, plain, ( ( add(X, additive_inverse(X)) = additive_identity) )).
% 0.19/0.36 cnf(matrix-14, plain, ( ( additive_inverse(additive_inverse(X)) = X) )).
% 0.19/0.36 cnf(matrix-15, plain, ( ( multiply(X, add(Y, Z)) = add(multiply(X, Y), multiply(X, Z))) )).
% 0.19/0.36 cnf(matrix-16, plain, ( ( multiply(add(X, Y), Z) = add(multiply(X, Z), multiply(Y, Z))) )).
% 0.19/0.36 cnf(matrix-17, plain, ( ( add(X, Y) = add(Y, X)) )).
% 0.19/0.36 cnf(matrix-18, plain, ( ( add(X, add(Y, Z)) = add(add(X, Y), Z)) )).
% 0.19/0.36 cnf(matrix-19, plain, ( ( multiply(multiply(X, Y), Y) = multiply(X, multiply(Y, Y))) )).
% 0.19/0.36 cnf(matrix-20, plain, ( ( multiply(multiply(X, X), Y) = multiply(X, multiply(X, Y))) )).
% 0.19/0.36 cnf(matrix-21, plain, ( ( associator(X, Y, Z) = add(multiply(multiply(X, Y), Z), additive_inverse(multiply(X, multiply(Y, Z))))) )).
% 0.19/0.36 cnf(matrix-22, plain, ( ( commutator(X, Y) = add(multiply(Y, X), additive_inverse(multiply(X, Y)))) )).
% 0.19/0.36 cnf(matrix-23, plain, ( ( multiply(additive_inverse(X), additive_inverse(Y)) = multiply(X, Y)) )).
% 0.19/0.36 cnf(matrix-24, plain, ( ( multiply(additive_inverse(X), Y) = additive_inverse(multiply(X, Y))) )).
% 0.19/0.36 cnf(matrix-25, plain, ( ( multiply(X, additive_inverse(Y)) = additive_inverse(multiply(X, Y))) )).
% 0.19/0.36 cnf(matrix-26, plain, ( ( multiply(X, add(Y, additive_inverse(Z))) = add(multiply(X, Y), additive_inverse(multiply(X, Z)))) )).
% 0.19/0.36 cnf(matrix-27, plain, ( ( multiply(add(X, additive_inverse(Y)), Z) = add(multiply(X, Z), additive_inverse(multiply(Y, Z)))) )).
% 0.19/0.36 cnf(matrix-28, plain, ( ( multiply(additive_inverse(X), add(Y, Z)) = add(additive_inverse(multiply(X, Y)), additive_inverse(multiply(X, Z)))) )).
% 0.19/0.36 cnf(matrix-29, plain, ( ( multiply(add(X, Y), additive_inverse(Z)) = add(additive_inverse(multiply(X, Z)), additive_inverse(multiply(Y, Z)))) )).
% 0.19/0.36 cnf(matrix-30, plain, ( ( associator(x, x, y) != additive_identity) )).
% 0.19/0.36
% 0.19/0.36 % Proof stack:
% 0.19/0.36 cnf(proof-stack, plain,
% 0.19/0.36 proof_stack(
% 0.19/0.36 start(30),
% 0.19/0.36 left_branch(0, 2, 2, 2),
% 0.19/0.36 left_branch(0, 21, 0, 3),
% 0.19/0.36 right_branch(3),
% 0.19/0.36 left_branch(0, 2, 2, 4),
% 0.19/0.36 left_branch(0, 3, 2, 5),
% 0.19/0.36 left_branch(0, 20, 0, 6),
% 0.19/0.36 right_branch(6),
% 0.19/0.36 left_branch(0, 0, 0, 7),
% 0.19/0.36 right_branch(7),
% 0.19/0.36 right_branch(5),
% 0.19/0.36 left_branch(0, 13, 0, 6),
% 0.19/0.36 right_branch(6),
% 0.19/0.36 right_branch(4),
% 0.19/0.36 right_branch(2)
% 0.19/0.36 )).
% 0.19/0.36 % SZS output end Proof for theBenchmark
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