%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : COL002-2 : 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 : n003.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 14:01:20 EDT 2024

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n003.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 00:21:19 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35  % SZS output start Proof for theBenchmark
% 0.12/0.35  
% 0.12/0.35  % Problem matrix:
% 0.12/0.35  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.35  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.35  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.35  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 0.12/0.35  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~fixed_point(__eqx_0) | fixed_point(__eqy_0) )).
% 0.12/0.35  cnf(matrix-5, plain, ( ( apply(apply(apply(s, X), Y), Z) = apply(apply(X, Z), apply(Y, Z))) )).
% 0.12/0.35  cnf(matrix-6, plain, ( ( apply(apply(apply(b, X), Y), Z) = apply(X, apply(Y, Z))) )).
% 0.12/0.35  cnf(matrix-7, plain, ( ( apply(apply(apply(c, X), Y), Z) = apply(apply(X, Z), Y)) )).
% 0.12/0.35  cnf(matrix-8, plain, ( ( apply(i, X) = X) )).
% 0.12/0.35  cnf(matrix-9, plain, ( ( Weak_sage != apply(fixed_pt, Weak_sage)) | fixed_point(Weak_sage) )).
% 0.12/0.35  cnf(matrix-10, plain, ( ~fixed_point(apply(apply(apply(s, apply(b, X)), i), apply(apply(s, apply(b, X)), i))) )).
% 0.12/0.35  
% 0.12/0.35  % Proof stack:
% 0.12/0.35  cnf(proof-stack, plain, 
% 0.12/0.35  proof_stack(
% 0.12/0.35  start(10), 
% 0.12/0.35  left_branch(0, 9, 1, 2), 
% 0.12/0.35  left_branch(0, 2, 2, 3), 
% 0.12/0.35  left_branch(0, 5, 0, 4), 
% 0.12/0.35  right_branch(4), 
% 0.12/0.35  left_branch(0, 2, 2, 5), 
% 0.12/0.35  left_branch(0, 6, 0, 6), 
% 0.12/0.35  right_branch(6), 
% 0.12/0.35  left_branch(0, 3, 2, 7), 
% 0.12/0.35  left_branch(0, 8, 0, 8), 
% 0.12/0.35  right_branch(8), 
% 0.12/0.35  left_branch(0, 3, 2, 9), 
% 0.12/0.35  left_branch(0, 0, 0, 10), 
% 0.12/0.35  right_branch(10), 
% 0.12/0.35  left_branch(0, 8, 0, 11), 
% 0.12/0.35  right_branch(11), 
% 0.12/0.35  right_branch(9), 
% 0.12/0.35  right_branch(7), 
% 0.12/0.35  right_branch(5), 
% 0.12/0.35  right_branch(3), 
% 0.12/0.35  right_branch(2)
% 0.12/0.35  )).
% 0.12/0.35  % SZS output end Proof for theBenchmark
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