%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.16s 0.48s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:29:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.48 Command-line arguments: --no-flatten-goal
% 0.16/0.48
% 0.16/0.48 % SZS status Unsatisfiable
% 0.16/0.48
% 0.16/0.49 % SZS output start Proof
% 0.16/0.49 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.16/0.49 Axiom 2 (starting_configuration): banks(west(m(n3), c(n3)), east(m(n0), c(n0)), boatonwest) = true.
% 0.16/0.49 Axiom 3 (bmmcc_mc_to_cc_bmmmc): ifeq(banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true) = true.
% 0.16/0.49 Axiom 4 (mmcc_bmc_to_bmmmcc_c): ifeq(banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatoneast), true, banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true) = true.
% 0.16/0.49 Axiom 5 (bmc_mmcc_to_x_bmmmccc): ifeq(banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true) = true.
% 0.16/0.49 Axiom 6 (mc_bmmcc_to_bmmcc_mc): ifeq(banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true) = true.
% 0.16/0.49 Axiom 7 (cc_bmmmc_to_bccc_mmm): ifeq(banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true) = true.
% 0.16/0.49 Axiom 8 (c_bmmmcc_to_bmc_mmcc): ifeq(banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true) = true.
% 0.16/0.49 Axiom 9 (bccc_mmm_to_c_bmmmcc): ifeq(banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true) = true.
% 0.16/0.49 Axiom 10 (bmmmcc_c_to_mmm_bccc): ifeq(banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true) = true.
% 0.16/0.49 Axiom 11 (bmmmc_cc_to_mc_bmmcc): ifeq(banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true) = true.
% 0.16/0.49 Axiom 12 (mmm_bccc_to_bmmmc_cc): ifeq(banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true) = true.
% 0.16/0.50 Axiom 13 (bmmmccc_x_to_mmcc_bmc): ifeq(banks(west(m(n3), c(n3)), east(m(n0), c(n0)), boatonwest), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatoneast), true) = true.
% 0.16/0.50
% 0.16/0.50 Goal 1 (prove_can_get_across): banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast) = true.
% 0.16/0.50 Proof:
% 0.16/0.50 banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) R->L }
% 0.16/0.50 ifeq(true, true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 8 (c_bmmmcc_to_bmc_mmcc) R->L }
% 0.16/0.50 ifeq(ifeq(banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(true, true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 7 (cc_bmmmc_to_bccc_mmm) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 6 (mc_bmmcc_to_bmmcc_mc) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 12 (mmm_bccc_to_bmmmc_cc) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 4 (mmcc_bmc_to_bmmmcc_c) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatoneast), true, banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true), true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatoneast), true), true, banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true), true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 2 (starting_configuration) R->L }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n3), c(n3)), east(m(n0), c(n0)), boatonwest), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatoneast), true), true, banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true), true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 13 (bmmmccc_x_to_mmcc_bmc) }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true), true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n3), c(n2)), east(m(n0), c(n1)), boatonwest), true, banks(west(m(n3), c(n0)), east(m(n0), c(n3)), boatoneast), true), true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 10 (bmmmcc_c_to_mmm_bccc) }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n3), c(n1)), east(m(n0), c(n2)), boatonwest), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatoneast), true), true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 11 (bmmmc_cc_to_mc_bmmcc) }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.50 = { by axiom 1 (ifeq_axiom) }
% 0.16/0.50 ifeq(ifeq(ifeq(ifeq(ifeq(banks(west(m(n2), c(n2)), east(m(n1), c(n1)), boatonwest), true, banks(west(m(n0), c(n2)), east(m(n3), c(n1)), boatoneast), true), true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.51 = { by axiom 3 (bmmcc_mc_to_cc_bmmmc) }
% 0.16/0.51 ifeq(ifeq(ifeq(ifeq(true, true, banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.51 = { by axiom 1 (ifeq_axiom) }
% 0.16/0.51 ifeq(ifeq(ifeq(banks(west(m(n0), c(n3)), east(m(n3), c(n0)), boatonwest), true, banks(west(m(n0), c(n1)), east(m(n3), c(n2)), boatoneast), true), true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.51 = { by axiom 9 (bccc_mmm_to_c_bmmmcc) }
% 0.16/0.51 ifeq(ifeq(true, true, banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.51 = { by axiom 1 (ifeq_axiom) }
% 0.16/0.51 ifeq(banks(west(m(n1), c(n1)), east(m(n2), c(n2)), boatonwest), true, banks(west(m(n0), c(n0)), east(m(n3), c(n3)), boatoneast), true)
% 0.16/0.51 = { by axiom 5 (bmc_mmcc_to_x_bmmmccc) }
% 0.16/0.51 true
% 0.16/0.51 % SZS output end Proof
% 0.16/0.51
% 0.16/0.51 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------