TSTP Solution File: RNG003-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : RNG003-1 : 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 : n032.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 14:29:37 EDT 2024

% Result   : Unsatisfiable 0.42s 0.62s
% Output   : Proof 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : RNG003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.09  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu Mar 21 00:01:10 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.42/0.62  % SZS status Unsatisfiable for theBenchmark
% 0.42/0.62  % SZS output start Proof for theBenchmark
% 0.42/0.62  
% 0.42/0.62  % Problem matrix:
% 0.42/0.62  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.42/0.62  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.42/0.62  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.42/0.62  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 0.42/0.62  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( add(__eqx_0, __eqx_1) = add(__eqy_0, __eqy_1)) )).
% 0.42/0.62  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( additive_inverse(__eqx_0) = additive_inverse(__eqy_0)) )).
% 0.42/0.62  cnf(matrix-6, 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) )).
% 0.42/0.62  cnf(matrix-7, 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) )).
% 0.42/0.62  cnf(matrix-8, plain, ( sum(additive_identity, X, X) )).
% 0.42/0.62  cnf(matrix-9, plain, ( sum(X, additive_identity, X) )).
% 0.42/0.62  cnf(matrix-10, plain, ( product(X, Y, multiply(X, Y)) )).
% 0.42/0.62  cnf(matrix-11, plain, ( sum(X, Y, add(X, Y)) )).
% 0.42/0.62  cnf(matrix-12, plain, ( sum(additive_inverse(X), X, additive_identity) )).
% 0.42/0.62  cnf(matrix-13, plain, ( sum(X, additive_inverse(X), additive_identity) )).
% 0.42/0.62  cnf(matrix-14, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(U, Z, W) | sum(X, V, W) )).
% 0.42/0.62  cnf(matrix-15, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(X, V, W) | sum(U, Z, W) )).
% 0.42/0.62  cnf(matrix-16, plain, ( ~sum(X, Y, Z) | sum(Y, X, Z) )).
% 0.42/0.62  cnf(matrix-17, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 0.42/0.62  cnf(matrix-18, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 0.42/0.62  cnf(matrix-19, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~product(X, V3, V4) | sum(V1, V2, V4) )).
% 0.42/0.62  cnf(matrix-20, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(X, V3, V4) )).
% 0.42/0.62  cnf(matrix-21, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~product(V3, X, V4) | sum(V1, V2, V4) )).
% 0.42/0.62  cnf(matrix-22, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(V3, X, V4) )).
% 0.42/0.62  cnf(matrix-23, plain, ( ~sum(X, Y, U) | ~sum(X, Y, V) | ( U = V) )).
% 0.42/0.62  cnf(matrix-24, plain, ( ~product(X, Y, U) | ~product(X, Y, V) | ( U = V) )).
% 0.42/0.62  cnf(matrix-25, plain, ( sum(a, c, d) )).
% 0.42/0.62  cnf(matrix-26, plain, ( sum(b, c, d) )).
% 0.42/0.62  cnf(matrix-27, plain, ( ( a != b) )).
% 0.42/0.62  
% 0.42/0.62  % Proof stack:
% 0.42/0.62  cnf(proof-stack, plain, 
% 0.42/0.62  proof_stack(
% 0.42/0.62  start(27), 
% 0.42/0.62  left_branch(0, 1, 1, 2), 
% 0.42/0.62  left_branch(0, 23, 2, 3), 
% 0.42/0.62  left_branch(0, 16, 1, 4), 
% 0.42/0.62  left_branch(0, 15, 3, 5), 
% 0.42/0.62  left_branch(0, 26, 0, 6), 
% 0.42/0.62  right_branch(6), 
% 0.42/0.62  left_branch(0, 9, 0, 7), 
% 0.42/0.62  right_branch(7), 
% 0.42/0.62  left_branch(0, 13, 0, 8), 
% 0.42/0.62  right_branch(8), 
% 0.42/0.62  right_branch(5), 
% 0.42/0.62  right_branch(4), 
% 0.42/0.62  left_branch(0, 14, 3, 5), 
% 0.42/0.62  left_branch(0, 16, 1, 6), 
% 0.42/0.62  left_branch(0, 13, 0, 7), 
% 0.42/0.62  right_branch(7), 
% 0.42/0.62  right_branch(6), 
% 0.42/0.62  left_branch(0, 16, 1, 7), 
% 0.42/0.62  left_branch(0, 9, 0, 8), 
% 0.42/0.62  right_branch(8), 
% 0.42/0.62  right_branch(7), 
% 0.42/0.62  left_branch(0, 16, 1, 8), 
% 0.42/0.62  left_branch(0, 25, 0, 9), 
% 0.42/0.62  right_branch(9), 
% 0.42/0.62  right_branch(8), 
% 0.42/0.62  right_branch(5), 
% 0.42/0.62  right_branch(3), 
% 0.42/0.62  right_branch(2)
% 0.42/0.62  )).
% 0.42/0.62  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------