%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:27:33 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 22:15:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 Command-line arguments: --no-flatten-goal
% 0.09/0.44
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44
% 0.09/0.44 % SZS output start Proof
% 0.09/0.44 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.44 Axiom 2 (initial_situation): can(monkey(l0, floor, nothing), ladder(l1, floor), bananas(l2, ceiling)) = true.
% 0.09/0.44 Axiom 3 (go_holding_nothing): ifeq(can(monkey(X, floor, nothing), Y, Z), true, can(monkey(W, floor, nothing), Y, Z), true) = true.
% 0.09/0.44 Axiom 4 (drop_ladder): ifeq(can(monkey(X, Y, the_ladder), ladder(X, Z), W), true, can(monkey(X, Y, nothing), ladder(X, floor), W), true) = true.
% 0.09/0.44 Axiom 5 (grab_bananas): ifeq(can(monkey(X, Y, nothing), Z, bananas(X, Y)), true, can(monkey(X, Y, the_bananas), Z, bananas(X, Y)), true) = true.
% 0.09/0.45 Axiom 6 (grab_ladder): ifeq(can(monkey(X, Y, nothing), ladder(X, Y), Z), true, can(monkey(X, Y, the_ladder), ladder(X, Y), Z), true) = true.
% 0.09/0.45 Axiom 7 (go_holding_ladder): ifeq(can(monkey(X, floor, the_ladder), ladder(X, floor), Y), true, can(monkey(Z, floor, the_ladder), ladder(Z, floor), Y), true) = true.
% 0.09/0.45 Axiom 8 (climb_up): ifeq(can(monkey(X, floor, nothing), ladder(X, floor), Y), true, can(monkey(X, ceiling, nothing), ladder(X, floor), Y), true) = true.
% 0.09/0.45
% 0.09/0.45 Goal 1 (prove_the_monkey_can_get_the_bananas): can(monkey(X, Y, the_bananas), Z, W) = true.
% 0.09/0.45 The goal is true when:
% 0.09/0.45 X = l2
% 0.09/0.45 Y = ceiling
% 0.09/0.45 Z = ladder(l2, floor)
% 0.09/0.45 W = bananas(l2, ceiling)
% 0.09/0.45
% 0.09/0.45 Proof:
% 0.09/0.45 can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling))
% 0.09/0.45 = { by axiom 1 (ifeq_axiom) R->L }
% 0.09/0.45 ifeq(true, true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 8 (climb_up) R->L }
% 0.09/0.45 ifeq(ifeq(can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 1 (ifeq_axiom) R->L }
% 0.09/0.45 ifeq(ifeq(ifeq(true, true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 7 (go_holding_ladder) R->L }
% 0.09/0.45 ifeq(ifeq(ifeq(ifeq(can(monkey(l1, floor, the_ladder), ladder(l1, floor), bananas(l2, ceiling)), true, can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 1 (ifeq_axiom) R->L }
% 0.09/0.45 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, can(monkey(l1, floor, the_ladder), ladder(l1, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 3 (go_holding_nothing) R->L }
% 0.09/0.45 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(can(monkey(l0, floor, nothing), ladder(l1, floor), bananas(l2, ceiling)), true, can(monkey(l1, floor, nothing), ladder(l1, floor), bananas(l2, ceiling)), true), true, can(monkey(l1, floor, the_ladder), ladder(l1, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 2 (initial_situation) }
% 0.09/0.45 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, can(monkey(l1, floor, nothing), ladder(l1, floor), bananas(l2, ceiling)), true), true, can(monkey(l1, floor, the_ladder), ladder(l1, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 1 (ifeq_axiom) }
% 0.09/0.45 ifeq(ifeq(ifeq(ifeq(ifeq(can(monkey(l1, floor, nothing), ladder(l1, floor), bananas(l2, ceiling)), true, can(monkey(l1, floor, the_ladder), ladder(l1, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 6 (grab_ladder) }
% 0.09/0.45 ifeq(ifeq(ifeq(ifeq(true, true, can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 1 (ifeq_axiom) }
% 0.09/0.45 ifeq(ifeq(ifeq(can(monkey(l2, floor, the_ladder), ladder(l2, floor), bananas(l2, ceiling)), true, can(monkey(l2, floor, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 4 (drop_ladder) }
% 0.09/0.45 ifeq(ifeq(true, true, can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 1 (ifeq_axiom) }
% 0.09/0.45 ifeq(can(monkey(l2, ceiling, nothing), ladder(l2, floor), bananas(l2, ceiling)), true, can(monkey(l2, ceiling, the_bananas), ladder(l2, floor), bananas(l2, ceiling)), true)
% 0.09/0.45 = { by axiom 5 (grab_bananas) }
% 0.09/0.45 true
% 0.09/0.45 % SZS output end Proof
% 0.09/0.45
% 0.09/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
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