TSTP Solution File: RNG004-3 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : RNG004-3 : 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 : n016.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 75.23s 75.41s
% Output   : Proof 75.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : RNG004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n016.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 00:39:54 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 75.23/75.41  % SZS status Unsatisfiable for theBenchmark
% 75.23/75.41  % SZS output start Proof for theBenchmark
% 75.23/75.41  
% 75.23/75.41  % Problem matrix:
% 75.23/75.41  cnf(matrix-0, plain, ( equalish(X, X) )).
% 75.23/75.41  cnf(matrix-1, plain, ( ~equalish(X, Y) | equalish(Y, X) )).
% 75.23/75.41  cnf(matrix-2, plain, ( ~equalish(X, Y) | ~equalish(Y, Z) | equalish(X, Z) )).
% 75.23/75.41  cnf(matrix-3, plain, ( ~equalish(X, Y) | equalish(additive_inverse(X), additive_inverse(Y)) )).
% 75.23/75.41  cnf(matrix-4, plain, ( ~equalish(X, Y) | equalish(add(X, W), add(Y, W)) )).
% 75.23/75.41  cnf(matrix-5, plain, ( ~equalish(X, Y) | ~sum(X, W, Z) | sum(Y, W, Z) )).
% 75.23/75.41  cnf(matrix-6, plain, ( ~equalish(X, Y) | ~sum(W, X, Z) | sum(W, Y, Z) )).
% 75.23/75.41  cnf(matrix-7, plain, ( ~equalish(X, Y) | ~sum(W, Z, X) | sum(W, Z, Y) )).
% 75.23/75.41  cnf(matrix-8, plain, ( ~equalish(X, Y) | equalish(multiply(X, W), multiply(Y, W)) )).
% 75.23/75.41  cnf(matrix-9, plain, ( ~equalish(X, Y) | ~product(X, W, Z) | product(Y, W, Z) )).
% 75.23/75.41  cnf(matrix-10, plain, ( ~equalish(X, Y) | ~product(W, X, Z) | product(W, Y, Z) )).
% 75.23/75.41  cnf(matrix-11, plain, ( ~equalish(X, Y) | ~product(W, Z, X) | product(W, Z, Y) )).
% 75.23/75.41  cnf(matrix-12, plain, ( sum(additive_identity, X, X) )).
% 75.23/75.41  cnf(matrix-13, plain, ( sum(X, additive_identity, X) )).
% 75.23/75.41  cnf(matrix-14, plain, ( product(X, Y, multiply(X, Y)) )).
% 75.23/75.41  cnf(matrix-15, plain, ( sum(X, Y, add(X, Y)) )).
% 75.23/75.41  cnf(matrix-16, plain, ( sum(additive_inverse(X), X, additive_identity) )).
% 75.23/75.41  cnf(matrix-17, plain, ( sum(X, additive_inverse(X), additive_identity) )).
% 75.23/75.41  cnf(matrix-18, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(U, Z, W) | sum(X, V, W) )).
% 75.23/75.41  cnf(matrix-19, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(X, V, W) | sum(U, Z, W) )).
% 75.23/75.41  cnf(matrix-20, plain, ( ~sum(X, Y, Z) | sum(Y, X, Z) )).
% 75.23/75.41  cnf(matrix-21, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 75.23/75.41  cnf(matrix-22, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 75.23/75.41  cnf(matrix-23, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~product(X, V3, V4) | sum(V1, V2, V4) )).
% 75.23/75.41  cnf(matrix-24, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(X, V3, V4) )).
% 75.23/75.41  cnf(matrix-25, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~product(V3, X, V4) | sum(V1, V2, V4) )).
% 75.23/75.41  cnf(matrix-26, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(V3, X, V4) )).
% 75.23/75.41  cnf(matrix-27, plain, ( ~sum(X, Y, U) | ~sum(X, Y, V) | equalish(U, V) )).
% 75.23/75.41  cnf(matrix-28, plain, ( ~product(X, Y, U) | ~product(X, Y, V) | equalish(U, V) )).
% 75.23/75.41  cnf(matrix-29, plain, ( product(additive_identity, X, additive_identity) )).
% 75.23/75.41  cnf(matrix-30, plain, ( product(X, additive_identity, additive_identity) )).
% 75.23/75.41  cnf(matrix-31, plain, ( product(a, b, c) )).
% 75.23/75.41  cnf(matrix-32, plain, ( product(additive_inverse(a), additive_inverse(b), d) )).
% 75.23/75.41  cnf(matrix-33, plain, ( ~equalish(c, d) )).
% 75.23/75.41  
% 75.23/75.41  % Proof stack:
% 75.23/75.41  cnf(proof-stack, plain, 
% 75.23/75.41  proof_stack(
% 75.23/75.41  start(33), 
% 75.23/75.41  left_branch(0, 1, 1, 2), 
% 75.23/75.41  left_branch(0, 27, 2, 3), 
% 75.23/75.41  left_branch(0, 25, 4, 4), 
% 75.23/75.41  left_branch(0, 32, 0, 5), 
% 75.23/75.41  right_branch(5), 
% 75.23/75.41  left_branch(0, 32, 0, 6), 
% 75.23/75.41  right_branch(6), 
% 75.23/75.41  left_branch(0, 20, 1, 7), 
% 75.23/75.41  left_branch(0, 12, 0, 8), 
% 75.23/75.41  right_branch(8), 
% 75.23/75.41  right_branch(7), 
% 75.23/75.41  left_branch(0, 29, 0, 8), 
% 75.23/75.41  right_branch(8), 
% 75.23/75.41  right_branch(4), 
% 75.23/75.41  left_branch(0, 20, 1, 5), 
% 75.23/75.41  left_branch(0, 18, 3, 6), 
% 75.23/75.41  left_branch(0, 25, 4, 7), 
% 75.23/75.41  left_branch(0, 30, 0, 8), 
% 75.23/75.41  right_branch(8), 
% 75.23/75.41  left_branch(0, 30, 0, 9), 
% 75.23/75.41  right_branch(9), 
% 75.23/75.41  left_branch(0, 25, 4, 10), 
% 75.23/75.41  left_branch(0, 32, 0, 11), 
% 75.23/75.41  right_branch(11), 
% 75.23/75.41  left_branch(0, 32, 0, 12), 
% 75.23/75.41  right_branch(12), 
% 75.23/75.41  left_branch(0, 20, 1, 13), 
% 75.23/75.41  left_branch(0, 12, 0, 14), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  right_branch(13), 
% 75.23/75.41  left_branch(0, 29, 0, 14), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  right_branch(10), 
% 75.23/75.41  left_branch(0, 30, 0, 11), 
% 75.23/75.41  right_branch(11), 
% 75.23/75.41  right_branch(7), 
% 75.23/75.41  left_branch(0, 23, 4, 8), 
% 75.23/75.41  left_branch(0, 30, 0, 9), 
% 75.23/75.41  right_branch(9), 
% 75.23/75.41  left_branch(0, 31, 0, 10), 
% 75.23/75.41  right_branch(10), 
% 75.23/75.41  left_branch(0, 20, 1, 11), 
% 75.23/75.41  left_branch(0, 18, 3, 12), 
% 75.23/75.41  left_branch(0, 17, 0, 13), 
% 75.23/75.41  right_branch(13), 
% 75.23/75.41  left_branch(0, 12, 0, 14), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  left_branch(0, 16, 0, 15), 
% 75.23/75.41  right_branch(15), 
% 75.23/75.41  right_branch(12), 
% 75.23/75.41  right_branch(11), 
% 75.23/75.41  left_branch(0, 31, 0, 12), 
% 75.23/75.41  right_branch(12), 
% 75.23/75.41  right_branch(8), 
% 75.23/75.41  left_branch(0, 19, 3, 9), 
% 75.23/75.41  left_branch(0, 25, 4, 10), 
% 75.23/75.41  left_branch(0, 32, 0, 11), 
% 75.23/75.41  right_branch(11), 
% 75.23/75.41  left_branch(0, 29, 0, 12), 
% 75.23/75.41  right_branch(12), 
% 75.23/75.41  left_branch(0, 20, 1, 13), 
% 75.23/75.41  left_branch(0, 17, 0, 14), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  right_branch(13), 
% 75.23/75.41  left_branch(0, 14, 0, 14), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  right_branch(10), 
% 75.23/75.41  left_branch(0, 25, 4, 11), 
% 75.23/75.41  left_branch(0, 32, 0, 12), 
% 75.23/75.41  right_branch(12), 
% 75.23/75.41  left_branch(0, 32, 0, 13), 
% 75.23/75.41  right_branch(13), 
% 75.23/75.41  left_branch(0, 20, 1, 14), 
% 75.23/75.41  left_branch(0, 12, 0, 15), 
% 75.23/75.41  right_branch(15), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  left_branch(0, 29, 0, 15), 
% 75.23/75.41  right_branch(15), 
% 75.23/75.41  right_branch(11), 
% 75.23/75.41  left_branch(0, 23, 4, 12), 
% 75.23/75.41  left_branch(0, 14, 0, 13), 
% 75.23/75.41  right_branch(13), 
% 75.23/75.41  left_branch(0, 30, 0, 14), 
% 75.23/75.41  right_branch(14), 
% 75.23/75.41  left_branch(0, 20, 1, 15), 
% 75.23/75.41  left_branch(0, 17, 0, 16), 
% 75.23/75.41  right_branch(16), 
% 75.23/75.41  right_branch(15), 
% 75.23/75.41  left_branch(0, 31, 0, 16), 
% 75.23/75.41  right_branch(16), 
% 75.23/75.41  right_branch(12), 
% 75.23/75.41  right_branch(9), 
% 75.23/75.41  right_branch(6), 
% 75.23/75.41  right_branch(5), 
% 75.23/75.41  right_branch(3), 
% 75.23/75.41  right_branch(2)
% 75.23/75.41  )).
% 75.23/75.41  % SZS output end Proof for theBenchmark
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