TSTP Solution File: SYN083-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SYN083-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n024.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 : Fri Sep 1 03:33:05 EDT 2023
% Result : Unsatisfiable 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 17:26:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.38 Command-line arguments: --no-flatten-goal
% 0.19/0.38
% 0.19/0.38 % SZS status Unsatisfiable
% 0.19/0.38
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 Axiom 1 (f_is_associative): f(X, f(Y, Z)) = f(f(X, Y), Z).
% 0.19/0.38
% 0.19/0.38 Goal 1 (prove_this): f(a, f(b, f(c, d))) = f(f(f(a, b), c), d).
% 0.19/0.38 Proof:
% 0.19/0.38 f(a, f(b, f(c, d)))
% 0.19/0.38 = { by axiom 1 (f_is_associative) }
% 0.19/0.38 f(f(a, b), f(c, d))
% 0.19/0.38 = { by axiom 1 (f_is_associative) }
% 0.19/0.38 f(f(f(a, b), c), d)
% 0.19/0.38 % SZS output end Proof
% 0.19/0.38
% 0.19/0.38 RESULT: Unsatisfiable (the axioms are contradictory).
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