%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : COL011-1 : 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 : n013.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 14:01:25 EDT 2024

% Result   : Unsatisfiable 1.46s 1.63s
% Output   : Proof 1.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n013.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 00:12:17 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 1.46/1.63  % SZS status Unsatisfiable for theBenchmark
% 1.46/1.63  % SZS output start Proof for theBenchmark
% 1.46/1.63  
% 1.46/1.63  % Problem matrix:
% 1.46/1.63  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 1.46/1.63  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 1.46/1.63  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 1.46/1.63  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 1.46/1.63  cnf(matrix-4, plain, ( ( apply(apply(o, X), Y) = apply(Y, apply(X, Y))) )).
% 1.46/1.63  cnf(matrix-5, plain, ( ( apply(apply(apply(q1, X), Y), Z) = apply(X, apply(Z, Y))) )).
% 1.46/1.63  cnf(matrix-6, plain, ( ( Y != apply(combinator, Y)) )).
% 1.46/1.63  
% 1.46/1.63  % Proof stack:
% 1.46/1.63  cnf(proof-stack, plain, 
% 1.46/1.63  proof_stack(
% 1.46/1.63  start(6), 
% 1.46/1.63  left_branch(0, 2, 2, 2), 
% 1.46/1.63  left_branch(0, 3, 2, 3), 
% 1.46/1.63  left_branch(0, 2, 2, 4), 
% 1.46/1.63  left_branch(0, 4, 0, 5), 
% 1.46/1.63  right_branch(5), 
% 1.46/1.63  left_branch(0, 5, 0, 6), 
% 1.46/1.63  right_branch(6), 
% 1.46/1.63  right_branch(4), 
% 1.46/1.63  left_branch(0, 3, 2, 5), 
% 1.46/1.63  left_branch(0, 5, 0, 6), 
% 1.46/1.63  right_branch(6), 
% 1.46/1.63  left_branch(0, 0, 0, 7), 
% 1.46/1.63  right_branch(7), 
% 1.46/1.63  right_branch(5), 
% 1.46/1.63  right_branch(3), 
% 1.46/1.63  left_branch(0, 2, 2, 4), 
% 1.46/1.63  left_branch(0, 5, 0, 5), 
% 1.46/1.63  right_branch(5), 
% 1.46/1.63  left_branch(0, 3, 2, 6), 
% 1.46/1.63  left_branch(0, 0, 0, 7), 
% 1.46/1.63  right_branch(7), 
% 1.46/1.63  left_branch(0, 5, 0, 8), 
% 1.46/1.63  right_branch(8), 
% 1.46/1.63  right_branch(6), 
% 1.46/1.63  right_branch(4), 
% 1.46/1.63  right_branch(2)
% 1.46/1.63  )).
% 1.46/1.63  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------