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% File     : Twee---2.5.0
% Problem  : COL048-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding

% Computer : n017.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 Jun 24 04:50:21 EDT 2024

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COL048-1 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.13  % Command  : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jun 18 15:36:54 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.22/0.42  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.22/0.42  
% 0.22/0.42  % SZS status Unsatisfiable
% 0.22/0.42  
% 0.22/0.42  % SZS output start Proof
% 0.22/0.42  Axiom 1 (w_definition): apply(apply(w, X), Y) = apply(apply(X, Y), Y).
% 0.22/0.42  Axiom 2 (b_definition): apply(apply(apply(b, X), Y), Z) = apply(X, apply(Y, Z)).
% 0.22/0.42  
% 0.22/0.43  Goal 1 (prove_fixed_point): X = apply(combinator, X).
% 0.22/0.43  The goal is true when:
% 0.22/0.43    X = apply(apply(w, apply(b, combinator)), apply(w, apply(b, combinator)))
% 0.22/0.43  
% 0.22/0.43  Proof:
% 0.22/0.43    apply(apply(w, apply(b, combinator)), apply(w, apply(b, combinator)))
% 0.22/0.43  = { by axiom 1 (w_definition) }
% 0.22/0.43    apply(apply(apply(b, combinator), apply(w, apply(b, combinator))), apply(w, apply(b, combinator)))
% 0.22/0.43  = { by axiom 2 (b_definition) }
% 0.22/0.43    apply(combinator, apply(apply(w, apply(b, combinator)), apply(w, apply(b, combinator))))
% 0.22/0.43  % SZS output end Proof
% 0.22/0.43  
% 0.22/0.43  RESULT: Unsatisfiable (the axioms are contradictory).
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