TSTP Solution File: COL062-3 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : COL062-3 : 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 : n032.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 18:31:54 EDT 2023
% Result : Unsatisfiable 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL062-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sun Aug 27 04:50:14 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.34 Command-line arguments: --no-flatten-goal
% 0.12/0.34
% 0.12/0.34 % SZS status Unsatisfiable
% 0.12/0.34
% 0.12/0.35 % SZS output start Proof
% 0.12/0.35 Axiom 1 (t_definition): apply(apply(t, X), Y) = apply(Y, X).
% 0.12/0.35 Axiom 2 (b_definition): apply(apply(apply(b, X), Y), Z) = apply(X, apply(Y, Z)).
% 0.12/0.35
% 0.12/0.35 Goal 1 (prove_c_combinator): apply(apply(apply(apply(apply(b, apply(apply(b, apply(t, apply(apply(b, b), t))), b)), t), x), y), z) = apply(apply(x, z), y).
% 0.12/0.35 Proof:
% 0.12/0.35 apply(apply(apply(apply(apply(b, apply(apply(b, apply(t, apply(apply(b, b), t))), b)), t), x), y), z)
% 0.12/0.35 = { by axiom 2 (b_definition) }
% 0.12/0.35 apply(apply(apply(apply(apply(b, apply(t, apply(apply(b, b), t))), b), apply(t, x)), y), z)
% 0.12/0.35 = { by axiom 2 (b_definition) }
% 0.12/0.35 apply(apply(apply(apply(t, apply(apply(b, b), t)), apply(b, apply(t, x))), y), z)
% 0.12/0.35 = { by axiom 1 (t_definition) }
% 0.12/0.35 apply(apply(apply(apply(b, apply(t, x)), apply(apply(b, b), t)), y), z)
% 0.12/0.35 = { by axiom 2 (b_definition) }
% 0.12/0.35 apply(apply(apply(t, x), apply(apply(apply(b, b), t), y)), z)
% 0.12/0.35 = { by axiom 2 (b_definition) }
% 0.12/0.35 apply(apply(apply(t, x), apply(b, apply(t, y))), z)
% 0.12/0.35 = { by axiom 1 (t_definition) }
% 0.12/0.35 apply(apply(apply(b, apply(t, y)), x), z)
% 0.12/0.35 = { by axiom 2 (b_definition) }
% 0.12/0.35 apply(apply(t, y), apply(x, z))
% 0.12/0.35 = { by axiom 1 (t_definition) }
% 0.12/0.35 apply(apply(x, z), y)
% 0.12/0.35 % SZS output end Proof
% 0.12/0.35
% 0.12/0.35 RESULT: Unsatisfiable (the axioms are contradictory).
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