TSTP Solution File: GRP143-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : GRP143-1 : 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 : n012.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 01:17:20 EDT 2023
% Result : Unsatisfiable 0.15s 0.41s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP143-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.15 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.15/0.37 % Computer : n012.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 19:40:54 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.41 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
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% 0.15/0.41 % SZS status Unsatisfiable
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% 0.15/0.41 % SZS output start Proof
% 0.15/0.41 Axiom 1 (idempotence_of_gld): greatest_lower_bound(X, X) = X.
% 0.15/0.41 Axiom 2 (symmetry_of_glb): greatest_lower_bound(X, Y) = greatest_lower_bound(Y, X).
% 0.15/0.41 Axiom 3 (associativity_of_glb): greatest_lower_bound(X, greatest_lower_bound(Y, Z)) = greatest_lower_bound(greatest_lower_bound(X, Y), Z).
% 0.15/0.41
% 0.15/0.41 Goal 1 (prove_ax_glb2b): greatest_lower_bound(greatest_lower_bound(a, b), a) = greatest_lower_bound(a, b).
% 0.15/0.41 Proof:
% 0.15/0.41 greatest_lower_bound(greatest_lower_bound(a, b), a)
% 0.15/0.41 = { by axiom 2 (symmetry_of_glb) }
% 0.15/0.41 greatest_lower_bound(a, greatest_lower_bound(a, b))
% 0.15/0.41 = { by axiom 3 (associativity_of_glb) }
% 0.15/0.41 greatest_lower_bound(greatest_lower_bound(a, a), b)
% 0.15/0.41 = { by axiom 1 (idempotence_of_gld) }
% 0.15/0.41 greatest_lower_bound(a, b)
% 0.15/0.41 % SZS output end Proof
% 0.15/0.41
% 0.15/0.41 RESULT: Unsatisfiable (the axioms are contradictory).
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