TSTP Solution File: RNG040-1 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : RNG040-1 : 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 : n021.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 14:29:48 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% 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  : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n021.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 : Thu Mar 21 00:04:03 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% 0.13/0.35  
% 0.13/0.35  % Problem matrix:
% 0.13/0.35  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.35  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.35  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.35  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 0.13/0.35  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( add(__eqx_0, __eqx_1) = add(__eqy_0, __eqy_1)) )).
% 0.13/0.35  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( additive_inverse(__eqx_0) = additive_inverse(__eqy_0)) )).
% 0.13/0.35  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( h(__eqx_0) = h(__eqy_0)) )).
% 0.13/0.35  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~sum(__eqx_0, __eqx_1, __eqx_2) | sum(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.35  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~product(__eqx_0, __eqx_1, __eqx_2) | product(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.35  cnf(matrix-9, plain, ( sum(additive_identity, X, X) )).
% 0.13/0.35  cnf(matrix-10, plain, ( sum(X, additive_identity, X) )).
% 0.13/0.35  cnf(matrix-11, plain, ( product(X, Y, multiply(X, Y)) )).
% 0.13/0.35  cnf(matrix-12, plain, ( sum(X, Y, add(X, Y)) )).
% 0.13/0.35  cnf(matrix-13, plain, ( sum(additive_inverse(X), X, additive_identity) )).
% 0.13/0.35  cnf(matrix-14, plain, ( sum(X, additive_inverse(X), additive_identity) )).
% 0.13/0.35  cnf(matrix-15, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(U, Z, W) | sum(X, V, W) )).
% 0.13/0.35  cnf(matrix-16, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(X, V, W) | sum(U, Z, W) )).
% 0.13/0.35  cnf(matrix-17, plain, ( ~sum(X, Y, Z) | sum(Y, X, Z) )).
% 0.13/0.35  cnf(matrix-18, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 0.13/0.35  cnf(matrix-19, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 0.13/0.35  cnf(matrix-20, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~product(X, V3, V4) | sum(V1, V2, V4) )).
% 0.13/0.35  cnf(matrix-21, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(X, V3, V4) )).
% 0.13/0.35  cnf(matrix-22, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~product(V3, X, V4) | sum(V1, V2, V4) )).
% 0.13/0.35  cnf(matrix-23, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(V3, X, V4) )).
% 0.13/0.35  cnf(matrix-24, plain, ( ~sum(X, Y, U) | ~sum(X, Y, V) | ( U = V) )).
% 0.13/0.35  cnf(matrix-25, plain, ( ~product(X, Y, U) | ~product(X, Y, V) | ( U = V) )).
% 0.13/0.35  cnf(matrix-26, plain, ( product(A, multiplicative_identity, A) )).
% 0.13/0.35  cnf(matrix-27, plain, ( product(multiplicative_identity, A, A) )).
% 0.13/0.35  cnf(matrix-28, plain, ( product(A, h(A), multiplicative_identity) | ( A = additive_identity) )).
% 0.13/0.35  cnf(matrix-29, plain, ( product(h(A), A, multiplicative_identity) | ( A = additive_identity) )).
% 0.13/0.35  cnf(matrix-30, plain, ( ~product(A, B, C) | product(B, A, C) )).
% 0.13/0.35  cnf(matrix-31, plain, ( sum(b, c, d) )).
% 0.13/0.35  cnf(matrix-32, plain, ( product(d, a, additive_identity) )).
% 0.13/0.35  cnf(matrix-33, plain, ( product(b, a, l) )).
% 0.13/0.35  cnf(matrix-34, plain, ( product(c, a, n) )).
% 0.13/0.35  cnf(matrix-35, plain, ( ~sum(l, n, additive_identity) )).
% 0.13/0.35  
% 0.13/0.35  % Proof stack:
% 0.13/0.35  cnf(proof-stack, plain, 
% 0.13/0.35  proof_stack(
% 0.13/0.35  start(35), 
% 0.13/0.35  left_branch(0, 22, 4, 2), 
% 0.13/0.35  left_branch(0, 33, 0, 3), 
% 0.13/0.35  right_branch(3), 
% 0.13/0.35  left_branch(0, 32, 0, 4), 
% 0.13/0.35  right_branch(4), 
% 0.13/0.35  left_branch(0, 31, 0, 5), 
% 0.13/0.35  right_branch(5), 
% 0.13/0.35  left_branch(0, 34, 0, 6), 
% 0.13/0.35  right_branch(6), 
% 0.13/0.35  right_branch(2)
% 0.13/0.35  )).
% 0.13/0.35  % SZS output end Proof for theBenchmark
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