%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n019.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 14:01:36 EDT 2024

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n019.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 00:19:33 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% 0.13/0.38  
% 0.13/0.38  % Problem matrix:
% 0.13/0.38  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.38  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.38  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.38  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 0.13/0.38  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( b(__eqx_0) = b(__eqy_0)) )).
% 0.13/0.38  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c(__eqx_0) = c(__eqy_0)) )).
% 0.13/0.38  cnf(matrix-6, plain, ( ( apply(apply(k, X), Y) = X) )).
% 0.13/0.38  cnf(matrix-7, plain, ( ( apply(apply(apply(abstraction, X), Y), Z) = apply(apply(X, apply(k, Z)), apply(Y, Z))) )).
% 0.13/0.38  cnf(matrix-8, plain, ( ( apply(apply(Y, b(Y)), c(Y)) != apply(b(Y), b(Y))) )).
% 0.13/0.38  
% 0.13/0.38  % Proof stack:
% 0.13/0.38  cnf(proof-stack, plain, 
% 0.13/0.38  proof_stack(
% 0.13/0.38  start(8), 
% 0.13/0.38  left_branch(0, 2, 2, 2), 
% 0.13/0.38  left_branch(0, 3, 2, 3), 
% 0.13/0.38  left_branch(0, 7, 0, 4), 
% 0.13/0.38  right_branch(4), 
% 0.13/0.38  left_branch(0, 5, 1, 5), 
% 0.13/0.38  left_branch(0, 0, 0, 6), 
% 0.13/0.38  right_branch(6), 
% 0.13/0.38  right_branch(5), 
% 0.13/0.38  right_branch(3), 
% 0.13/0.38  left_branch(0, 2, 2, 4), 
% 0.13/0.38  left_branch(0, 7, 0, 5), 
% 0.13/0.38  right_branch(5), 
% 0.13/0.38  left_branch(0, 3, 2, 6), 
% 0.13/0.38  left_branch(0, 6, 0, 7), 
% 0.13/0.38  right_branch(7), 
% 0.13/0.38  left_branch(0, 6, 0, 8), 
% 0.13/0.38  right_branch(8), 
% 0.13/0.38  right_branch(6), 
% 0.13/0.38  right_branch(4), 
% 0.13/0.38  right_branch(2)
% 0.13/0.38  )).
% 0.13/0.38  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------