TSTP Solution File: PLA017-10 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : PLA017-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:03:15 EDT 2023
% Result : Unsatisfiable 0.22s 0.62s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : PLA017-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.16 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 06:00:17 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.22/0.62 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 0.22/0.62
% 0.22/0.62 % SZS status Unsatisfiable
% 0.22/0.62
% 0.22/0.62 % SZS output start Proof
% 0.22/0.62 Axiom 1 (initial_state8): holds(empty, s0) = true.
% 0.22/0.62 Axiom 2 (differ_a_table): differ(a, table) = true.
% 0.22/0.62 Axiom 3 (differ_a_c): differ(a, c) = true.
% 0.22/0.62 Axiom 4 (initial_state5): holds(clear(a), s0) = true.
% 0.22/0.63 Axiom 5 (initial_state7): holds(clear(c), s0) = true.
% 0.22/0.63 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.22/0.63 Axiom 7 (symmetry_of_differ): ifeq(differ(X, Y), true, differ(Y, X), true) = true.
% 0.22/0.63 Axiom 8 (pickup_4): ifeq(differ(X, Y), true, ifeq(holds(clear(X), Z), true, holds(clear(X), do(pickup(Y), Z)), true), true) = true.
% 0.22/0.63 Axiom 9 (putdown_2): ifeq(holds(holding(X), Y), true, ifeq(holds(clear(Z), Y), true, holds(on(X, Z), do(putdown(X, Z), Y)), true), true) = true.
% 0.22/0.63 Axiom 10 (pickup_1): ifeq(differ(X, table), true, ifeq(holds(empty, Y), true, ifeq(holds(clear(X), Y), true, holds(holding(X), do(pickup(X), Y)), true), true), true) = true.
% 0.22/0.63
% 0.22/0.63 Goal 1 (prove_AC): holds(on(a, c), X) = true.
% 0.22/0.63 The goal is true when:
% 0.22/0.63 X = do(putdown(a, c), do(pickup(a), s0))
% 0.22/0.63
% 0.22/0.63 Proof:
% 0.22/0.63 holds(on(a, c), do(putdown(a, c), do(pickup(a), s0)))
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) R->L }
% 0.22/0.63 ifeq(true, true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 8 (pickup_4) R->L }
% 0.22/0.63 ifeq(ifeq(differ(c, a), true, ifeq(holds(clear(c), s0), true, holds(clear(c), do(pickup(a), s0)), true), true), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 5 (initial_state7) }
% 0.22/0.63 ifeq(ifeq(differ(c, a), true, ifeq(true, true, holds(clear(c), do(pickup(a), s0)), true), true), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) }
% 0.22/0.63 ifeq(ifeq(differ(c, a), true, holds(clear(c), do(pickup(a), s0)), true), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) R->L }
% 0.22/0.63 ifeq(ifeq(ifeq(true, true, differ(c, a), true), true, holds(clear(c), do(pickup(a), s0)), true), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 3 (differ_a_c) R->L }
% 0.22/0.63 ifeq(ifeq(ifeq(differ(a, c), true, differ(c, a), true), true, holds(clear(c), do(pickup(a), s0)), true), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 7 (symmetry_of_differ) }
% 0.22/0.63 ifeq(ifeq(true, true, holds(clear(c), do(pickup(a), s0)), true), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) }
% 0.22/0.63 ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) R->L }
% 0.22/0.63 ifeq(true, true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 10 (pickup_1) R->L }
% 0.22/0.63 ifeq(ifeq(differ(a, table), true, ifeq(holds(empty, s0), true, ifeq(holds(clear(a), s0), true, holds(holding(a), do(pickup(a), s0)), true), true), true), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 4 (initial_state5) }
% 0.22/0.63 ifeq(ifeq(differ(a, table), true, ifeq(holds(empty, s0), true, ifeq(true, true, holds(holding(a), do(pickup(a), s0)), true), true), true), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 2 (differ_a_table) }
% 0.22/0.63 ifeq(ifeq(true, true, ifeq(holds(empty, s0), true, ifeq(true, true, holds(holding(a), do(pickup(a), s0)), true), true), true), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) }
% 0.22/0.63 ifeq(ifeq(holds(empty, s0), true, ifeq(true, true, holds(holding(a), do(pickup(a), s0)), true), true), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 1 (initial_state8) }
% 0.22/0.63 ifeq(ifeq(true, true, ifeq(true, true, holds(holding(a), do(pickup(a), s0)), true), true), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) }
% 0.22/0.63 ifeq(ifeq(true, true, holds(holding(a), do(pickup(a), s0)), true), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 6 (ifeq_axiom) }
% 0.22/0.63 ifeq(holds(holding(a), do(pickup(a), s0)), true, ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true), true)
% 0.22/0.63 = { by axiom 9 (putdown_2) }
% 0.22/0.63 true
% 0.22/0.63 % SZS output end Proof
% 0.22/0.63
% 0.22/0.63 RESULT: Unsatisfiable (the axioms are contradictory).
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