%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:30:44 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n019.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 22:29:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 Command-line arguments: --no-flatten-goal
% 0.19/0.48
% 0.19/0.48 % SZS status Unsatisfiable
% 0.19/0.48
% 0.19/0.49 % SZS output start Proof
% 0.19/0.49 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.19/0.49 Axiom 2 (extra_cannibal_meal_on_east_bank): achievable(west(X, Y), Z, east(m(s(W)), c(s(s(W))))) = true.
% 0.19/0.49 Axiom 3 (missionary_west_to_east): ifeq(achievable(west(m(s(X)), c(Y)), boatonwest, east(m(Z), c(W))), true, achievable(west(m(X), c(Y)), boatoneast, east(m(s(Z)), c(W))), true) = true.
% 0.19/0.49
% 0.19/0.49 Goal 1 (prove_can_get_to_east_bank): achievable(west(m(n0), c(n0)), X, east(m(s(s(s(n0)))), c(s(s(s(n0)))))) = true.
% 0.19/0.49 The goal is true when:
% 0.19/0.49 X = boatoneast
% 0.19/0.49
% 0.19/0.49 Proof:
% 0.19/0.49 achievable(west(m(n0), c(n0)), boatoneast, east(m(s(s(s(n0)))), c(s(s(s(n0))))))
% 0.19/0.49 = { by axiom 1 (ifeq_axiom) R->L }
% 0.19/0.49 ifeq(true, true, achievable(west(m(n0), c(n0)), boatoneast, east(m(s(s(s(n0)))), c(s(s(s(n0)))))), true)
% 0.19/0.49 = { by axiom 2 (extra_cannibal_meal_on_east_bank) R->L }
% 0.19/0.49 ifeq(achievable(west(m(s(n0)), c(n0)), boatonwest, east(m(s(s(n0))), c(s(s(s(n0)))))), true, achievable(west(m(n0), c(n0)), boatoneast, east(m(s(s(s(n0)))), c(s(s(s(n0)))))), true)
% 0.19/0.49 = { by axiom 3 (missionary_west_to_east) }
% 0.19/0.49 true
% 0.19/0.49 % SZS output end Proof
% 0.19/0.49
% 0.19/0.49 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------