%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:58 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% 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
% 0.00/0.03 % Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n011.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 10:50:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.46 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.15/0.46
% 0.15/0.46 % SZS status Unsatisfiable
% 0.15/0.46
% 0.15/0.46 % SZS output start Proof
% 0.15/0.46 Axiom 1 (x_divide_zero_is_x): divide(X, zero) = X.
% 0.15/0.46 Axiom 2 (zero_is_smallest): divide(zero, X) = zero.
% 0.15/0.46 Axiom 3 (quotient_smaller_than_numerator): divide(divide(X, Y), X) = zero.
% 0.15/0.46 Axiom 4 (a_divide_b_divide_d_is_zero): divide(divide(a, b), d) = zero.
% 0.15/0.46 Axiom 5 (quotient_property): divide(divide(divide(X, Y), divide(Z, Y)), divide(divide(X, Z), Y)) = zero.
% 0.15/0.46
% 0.15/0.46 Goal 1 (prove_property_of_divide1): divide(divide(a, d), b) = zero.
% 0.15/0.46 Proof:
% 0.15/0.46 divide(divide(a, d), b)
% 0.15/0.46 = { by axiom 1 (x_divide_zero_is_x) R->L }
% 0.15/0.46 divide(divide(divide(a, d), b), zero)
% 0.15/0.46 = { by axiom 2 (zero_is_smallest) R->L }
% 0.15/0.46 divide(divide(divide(a, d), b), divide(zero, b))
% 0.15/0.46 = { by axiom 5 (quotient_property) R->L }
% 0.15/0.46 divide(divide(divide(a, d), b), divide(divide(divide(divide(a, d), divide(b, d)), divide(divide(a, b), d)), b))
% 0.15/0.46 = { by axiom 4 (a_divide_b_divide_d_is_zero) }
% 0.15/0.46 divide(divide(divide(a, d), b), divide(divide(divide(divide(a, d), divide(b, d)), zero), b))
% 0.15/0.46 = { by axiom 1 (x_divide_zero_is_x) }
% 0.15/0.46 divide(divide(divide(a, d), b), divide(divide(divide(a, d), divide(b, d)), b))
% 0.15/0.46 = { by axiom 1 (x_divide_zero_is_x) R->L }
% 0.15/0.46 divide(divide(divide(divide(a, d), b), zero), divide(divide(divide(a, d), divide(b, d)), b))
% 0.15/0.46 = { by axiom 3 (quotient_smaller_than_numerator) R->L }
% 0.15/0.47 divide(divide(divide(divide(a, d), b), divide(divide(b, d), b)), divide(divide(divide(a, d), divide(b, d)), b))
% 0.15/0.47 = { by axiom 5 (quotient_property) }
% 0.15/0.47 zero
% 0.15/0.47 % SZS output end Proof
% 0.15/0.47
% 0.15/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
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