TSTP Solution File: COL061-2 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : COL061-2 : 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 : n002.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 18:31:53 EDT 2023
% Result : Unsatisfiable 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL061-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.13/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 05:37:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.38 Command-line arguments: --no-flatten-goal
% 0.20/0.38
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 Axiom 1 (t_definition): apply(apply(t, X), Y) = apply(Y, X).
% 0.20/0.39 Axiom 2 (b_definition): apply(apply(apply(b, X), Y), Z) = apply(X, apply(Y, Z)).
% 0.20/0.39
% 0.20/0.39 Goal 1 (prove_q1_combinator): apply(apply(apply(apply(apply(b, apply(t, t)), apply(apply(b, b), b)), x), y), z) = apply(x, apply(z, y)).
% 0.20/0.39 Proof:
% 0.20/0.39 apply(apply(apply(apply(apply(b, apply(t, t)), apply(apply(b, b), b)), x), y), z)
% 0.20/0.39 = { by axiom 2 (b_definition) }
% 0.20/0.39 apply(apply(apply(apply(t, t), apply(apply(apply(b, b), b), x)), y), z)
% 0.20/0.39 = { by axiom 2 (b_definition) }
% 0.20/0.39 apply(apply(apply(apply(t, t), apply(b, apply(b, x))), y), z)
% 0.20/0.39 = { by axiom 1 (t_definition) }
% 0.20/0.39 apply(apply(apply(apply(b, apply(b, x)), t), y), z)
% 0.20/0.39 = { by axiom 2 (b_definition) }
% 0.20/0.39 apply(apply(apply(b, x), apply(t, y)), z)
% 0.20/0.39 = { by axiom 2 (b_definition) }
% 0.20/0.39 apply(x, apply(apply(t, y), z))
% 0.20/0.39 = { by axiom 1 (t_definition) }
% 0.20/0.39 apply(x, apply(z, y))
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39
% 0.20/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------