%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : HEN005-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 10:18:57 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.46s
% 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
% 0.00/0.03 % Problem : HEN005-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:53:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.19/0.46
% 0.19/0.46 % SZS status Unsatisfiable
% 0.19/0.46
% 0.19/0.46 % SZS output start Proof
% 0.19/0.46 Axiom 1 (zero_is_smallest): divide(zero, X) = zero.
% 0.19/0.46 Axiom 2 (a_divide_b_is_zero): divide(a, b) = zero.
% 0.19/0.46 Axiom 3 (b_divide_c_is_zero): divide(b, c) = zero.
% 0.19/0.46 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.19/0.46 Axiom 5 (quotient_property): divide(divide(divide(X, Y), divide(Z, Y)), divide(divide(X, Z), Y)) = zero.
% 0.19/0.47 Axiom 6 (divide_and_equal): ifeq(divide(X, Y), zero, ifeq(divide(Y, X), zero, Y, X), X) = X.
% 0.19/0.47
% 0.19/0.47 Goal 1 (prove_transitivity_of_divide_to_zero): divide(a, c) = zero.
% 0.19/0.47 Proof:
% 0.19/0.47 divide(a, c)
% 0.19/0.47 = { by axiom 6 (divide_and_equal) R->L }
% 0.19/0.47 ifeq(divide(divide(a, c), zero), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 6 (divide_and_equal) R->L }
% 0.19/0.47 ifeq(ifeq(divide(divide(divide(a, c), zero), zero), zero, ifeq(divide(zero, divide(divide(a, c), zero)), zero, zero, divide(divide(a, c), zero)), divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 3 (b_divide_c_is_zero) R->L }
% 0.19/0.47 ifeq(ifeq(divide(divide(divide(a, c), divide(b, c)), zero), zero, ifeq(divide(zero, divide(divide(a, c), zero)), zero, zero, divide(divide(a, c), zero)), divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 1 (zero_is_smallest) R->L }
% 0.19/0.47 ifeq(ifeq(divide(divide(divide(a, c), divide(b, c)), divide(zero, c)), zero, ifeq(divide(zero, divide(divide(a, c), zero)), zero, zero, divide(divide(a, c), zero)), divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 2 (a_divide_b_is_zero) R->L }
% 0.19/0.47 ifeq(ifeq(divide(divide(divide(a, c), divide(b, c)), divide(divide(a, b), c)), zero, ifeq(divide(zero, divide(divide(a, c), zero)), zero, zero, divide(divide(a, c), zero)), divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 5 (quotient_property) }
% 0.19/0.47 ifeq(ifeq(zero, zero, ifeq(divide(zero, divide(divide(a, c), zero)), zero, zero, divide(divide(a, c), zero)), divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 4 (ifeq_axiom) }
% 0.19/0.47 ifeq(ifeq(divide(zero, divide(divide(a, c), zero)), zero, zero, divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 1 (zero_is_smallest) }
% 0.19/0.47 ifeq(ifeq(zero, zero, zero, divide(divide(a, c), zero)), zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 4 (ifeq_axiom) }
% 0.19/0.47 ifeq(zero, zero, ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c)), divide(a, c))
% 0.19/0.47 = { by axiom 4 (ifeq_axiom) }
% 0.19/0.47 ifeq(divide(zero, divide(a, c)), zero, zero, divide(a, c))
% 0.19/0.47 = { by axiom 1 (zero_is_smallest) }
% 0.19/0.47 ifeq(zero, zero, zero, divide(a, c))
% 0.19/0.47 = { by axiom 4 (ifeq_axiom) }
% 0.19/0.47 zero
% 0.19/0.47 % SZS output end Proof
% 0.19/0.47
% 0.19/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
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