%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:30:46 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 22:35:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.46 Command-line arguments: --flatten-regeneralise
% 0.13/0.46
% 0.13/0.46 % SZS status Unsatisfiable
% 0.13/0.46
% 0.13/0.46 % SZS output start Proof
% 0.13/0.46 Axiom 1 (western_australia): state(western_australia) = true.
% 0.13/0.46 Axiom 2 (northern_territory): state(northern_territory) = true.
% 0.13/0.46 Axiom 3 (indian): ocean(indian) = true.
% 0.13/0.46 Axiom 4 (indian_wa): borders(indian, western_australia) = true.
% 0.13/0.46 Axiom 5 (indian_nt): borders(indian, northern_territory) = true.
% 0.13/0.46 Axiom 6 (wa_nt): borders(western_australia, northern_territory) = true.
% 0.13/0.46 Axiom 7 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.46 Axiom 8 (symmetry_of_borders): ifeq(borders(X, Y), true, borders(Y, X), true) = true.
% 0.13/0.46
% 0.13/0.46 Goal 1 (prove_borders): tuple(borders(X, Y), borders(X, Z), borders(Y, Z), ocean(Z), state(X), state(Y)) = tuple(true, true, true, true, true, true).
% 0.13/0.46 The goal is true when:
% 0.13/0.46 X = western_australia
% 0.13/0.46 Y = northern_territory
% 0.13/0.46 Z = indian
% 0.13/0.46
% 0.13/0.46 Proof:
% 0.13/0.46 tuple(borders(western_australia, northern_territory), borders(western_australia, indian), borders(northern_territory, indian), ocean(indian), state(western_australia), state(northern_territory))
% 0.13/0.46 = { by axiom 6 (wa_nt) }
% 0.13/0.46 tuple(true, borders(western_australia, indian), borders(northern_territory, indian), ocean(indian), state(western_australia), state(northern_territory))
% 0.13/0.46 = { by axiom 1 (western_australia) }
% 0.13/0.46 tuple(true, borders(western_australia, indian), borders(northern_territory, indian), ocean(indian), true, state(northern_territory))
% 0.13/0.46 = { by axiom 2 (northern_territory) }
% 0.13/0.46 tuple(true, borders(western_australia, indian), borders(northern_territory, indian), ocean(indian), true, true)
% 0.13/0.46 = { by axiom 3 (indian) }
% 0.13/0.46 tuple(true, borders(western_australia, indian), borders(northern_territory, indian), true, true, true)
% 0.13/0.46 = { by axiom 7 (ifeq_axiom) R->L }
% 0.13/0.46 tuple(true, ifeq(true, true, borders(western_australia, indian), true), borders(northern_territory, indian), true, true, true)
% 0.13/0.46 = { by axiom 4 (indian_wa) R->L }
% 0.13/0.46 tuple(true, ifeq(borders(indian, western_australia), true, borders(western_australia, indian), true), borders(northern_territory, indian), true, true, true)
% 0.13/0.46 = { by axiom 8 (symmetry_of_borders) }
% 0.13/0.46 tuple(true, true, borders(northern_territory, indian), true, true, true)
% 0.13/0.46 = { by axiom 7 (ifeq_axiom) R->L }
% 0.13/0.46 tuple(true, true, ifeq(true, true, borders(northern_territory, indian), true), true, true, true)
% 0.13/0.46 = { by axiom 5 (indian_nt) R->L }
% 0.13/0.46 tuple(true, true, ifeq(borders(indian, northern_territory), true, borders(northern_territory, indian), true), true, true, true)
% 0.13/0.46 = { by axiom 8 (symmetry_of_borders) }
% 0.13/0.46 tuple(true, true, true, true, true, true)
% 0.13/0.46 % SZS output end Proof
% 0.13/0.46
% 0.13/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
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