%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:30:57 PM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 22:44:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43 Command-line arguments: --no-flatten-goal
% 0.09/0.43
% 0.09/0.43 % SZS status Theorem
% 0.09/0.43
% 0.09/0.43 % SZS output start Proof
% 0.09/0.43 Axiom 1 (oedipus_patricidal): patricide(oedipus) = true.
% 0.09/0.43 Axiom 2 (iokaste_oedipus): parent_of(iokaste, oedipus) = true.
% 0.09/0.43 Axiom 3 (iokaste_polyneikes): parent_of(iokaste, polyneikes) = true.
% 0.09/0.43 Axiom 4 (oedipus_polyneikes): parent_of(oedipus, polyneikes) = true.
% 0.09/0.43 Axiom 5 (polyneikes_thersandros): parent_of(polyneikes, thersandros) = true.
% 0.09/0.43 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.43 Axiom 7 (iokaste_parent_particide_parent_not_patricide): ifeq(patricide(X), true, ifeq(parent_of(iokaste, X), true, ifeq(parent_of(X, Y), true, patricide(Y), true), true), true) = true.
% 0.09/0.43
% 0.09/0.43 Goal 1 (thersandros_not_patricidal): patricide(thersandros) = true.
% 0.09/0.43 Proof:
% 0.09/0.43 patricide(thersandros)
% 0.09/0.43 = { by axiom 6 (ifeq_axiom) R->L }
% 0.09/0.43 ifeq(true, true, patricide(thersandros), true)
% 0.09/0.43 = { by axiom 6 (ifeq_axiom) R->L }
% 0.09/0.43 ifeq(true, true, ifeq(true, true, patricide(thersandros), true), true)
% 0.09/0.43 = { by axiom 3 (iokaste_polyneikes) R->L }
% 0.09/0.43 ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true)
% 0.09/0.43 = { by axiom 6 (ifeq_axiom) R->L }
% 0.09/0.43 ifeq(true, true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 7 (iokaste_parent_particide_parent_not_patricide) R->L }
% 0.09/0.43 ifeq(ifeq(patricide(oedipus), true, ifeq(parent_of(iokaste, oedipus), true, ifeq(parent_of(oedipus, polyneikes), true, patricide(polyneikes), true), true), true), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 4 (oedipus_polyneikes) }
% 0.09/0.43 ifeq(ifeq(patricide(oedipus), true, ifeq(parent_of(iokaste, oedipus), true, ifeq(true, true, patricide(polyneikes), true), true), true), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 1 (oedipus_patricidal) }
% 0.09/0.43 ifeq(ifeq(true, true, ifeq(parent_of(iokaste, oedipus), true, ifeq(true, true, patricide(polyneikes), true), true), true), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 6 (ifeq_axiom) }
% 0.09/0.43 ifeq(ifeq(parent_of(iokaste, oedipus), true, ifeq(true, true, patricide(polyneikes), true), true), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 2 (iokaste_oedipus) }
% 0.09/0.43 ifeq(ifeq(true, true, ifeq(true, true, patricide(polyneikes), true), true), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 6 (ifeq_axiom) }
% 0.09/0.43 ifeq(ifeq(true, true, patricide(polyneikes), true), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 6 (ifeq_axiom) }
% 0.09/0.43 ifeq(patricide(polyneikes), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(true, true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 5 (polyneikes_thersandros) R->L }
% 0.09/0.43 ifeq(patricide(polyneikes), true, ifeq(parent_of(iokaste, polyneikes), true, ifeq(parent_of(polyneikes, thersandros), true, patricide(thersandros), true), true), true)
% 0.09/0.43 = { by axiom 7 (iokaste_parent_particide_parent_not_patricide) }
% 0.09/0.43 true
% 0.09/0.43 % SZS output end Proof
% 0.09/0.43
% 0.09/0.43 RESULT: Theorem (the conjecture is true).
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