TSTP Solution File: GRP182-2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : GRP182-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Thu Aug 31 01:17:36 EDT 2023
% Result : Unsatisfiable 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP182-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 01:25:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.38 Command-line arguments: --flatten
% 0.18/0.38
% 0.18/0.38 % SZS status Unsatisfiable
% 0.18/0.38
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 Axiom 1 (p17a_1): inverse(identity) = identity.
% 0.18/0.38 Axiom 2 (symmetry_of_glb): greatest_lower_bound(X, Y) = greatest_lower_bound(Y, X).
% 0.18/0.38 Axiom 3 (lub_absorbtion): least_upper_bound(X, greatest_lower_bound(X, Y)) = X.
% 0.18/0.38
% 0.18/0.38 Goal 1 (prove_p17a): least_upper_bound(identity, greatest_lower_bound(a, identity)) = identity.
% 0.18/0.38 Proof:
% 0.18/0.38 least_upper_bound(identity, greatest_lower_bound(a, identity))
% 0.18/0.38 = { by axiom 1 (p17a_1) R->L }
% 0.18/0.38 least_upper_bound(inverse(identity), greatest_lower_bound(a, identity))
% 0.18/0.38 = { by axiom 1 (p17a_1) R->L }
% 0.18/0.38 least_upper_bound(inverse(identity), greatest_lower_bound(a, inverse(identity)))
% 0.18/0.38 = { by axiom 2 (symmetry_of_glb) }
% 0.18/0.38 least_upper_bound(inverse(identity), greatest_lower_bound(inverse(identity), a))
% 0.18/0.38 = { by axiom 3 (lub_absorbtion) }
% 0.18/0.38 inverse(identity)
% 0.18/0.38 = { by axiom 1 (p17a_1) }
% 0.18/0.38 identity
% 0.18/0.38 % SZS output end Proof
% 0.18/0.38
% 0.18/0.38 RESULT: Unsatisfiable (the axioms are contradictory).
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