%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : COL060-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n008.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 : Wed Aug 30 18:31:52 EDT 2023

% Result   : Unsatisfiable 0.17s 0.37s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL060-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.17/0.34  % Computer : n008.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sun Aug 27 05:24:02 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.37  Command-line arguments: --no-flatten-goal
% 0.17/0.37  
% 0.17/0.37  % SZS status Unsatisfiable
% 0.17/0.37  
% 0.17/0.37  % SZS output start Proof
% 0.17/0.37  Axiom 1 (t_definition): apply(apply(t, X), Y) = apply(Y, X).
% 0.17/0.38  Axiom 2 (b_definition): apply(apply(apply(b, X), Y), Z) = apply(X, apply(Y, Z)).
% 0.17/0.38  
% 0.17/0.38  Goal 1 (prove_q_combinator): apply(apply(apply(apply(apply(b, apply(apply(b, apply(t, b)), b)), t), x), y), z) = apply(y, apply(x, z)).
% 0.17/0.38  Proof:
% 0.17/0.38    apply(apply(apply(apply(apply(b, apply(apply(b, apply(t, b)), b)), t), x), y), z)
% 0.17/0.38  = { by axiom 2 (b_definition) }
% 0.17/0.38    apply(apply(apply(apply(apply(b, apply(t, b)), b), apply(t, x)), y), z)
% 0.17/0.38  = { by axiom 2 (b_definition) }
% 0.17/0.38    apply(apply(apply(apply(t, b), apply(b, apply(t, x))), y), z)
% 0.17/0.38  = { by axiom 1 (t_definition) }
% 0.17/0.38    apply(apply(apply(apply(b, apply(t, x)), b), y), z)
% 0.17/0.38  = { by axiom 2 (b_definition) }
% 0.17/0.38    apply(apply(apply(t, x), apply(b, y)), z)
% 0.17/0.38  = { by axiom 1 (t_definition) }
% 0.17/0.38    apply(apply(apply(b, y), x), z)
% 0.17/0.38  = { by axiom 2 (b_definition) }
% 0.17/0.38    apply(y, apply(x, z))
% 0.17/0.38  % SZS output end Proof
% 0.17/0.38  
% 0.17/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------