TSTP Solution File: PLA017-10 by Twee---2.5.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.5.0
% Problem : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% Computer : n009.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 : Mon Jun 24 13:37:28 EDT 2024
% Result : Unsatisfiable 0.20s 0.60s
% Output : Proof 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.12 % Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 17:15:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.60 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 0.20/0.60
% 0.20/0.60 % SZS status Unsatisfiable
% 0.20/0.60
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 Axiom 1 (initial_state8): holds(empty, s0) = true.
% 0.20/0.61 Axiom 2 (differ_a_table): differ(a, table) = true.
% 0.20/0.61 Axiom 3 (differ_a_c): differ(a, c) = true.
% 0.20/0.61 Axiom 4 (initial_state5): holds(clear(a), s0) = true.
% 0.20/0.61 Axiom 5 (initial_state7): holds(clear(c), s0) = true.
% 0.20/0.61 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.20/0.61 Axiom 7 (symmetry_of_differ): ifeq(differ(X, Y), true, differ(Y, X), true) = true.
% 0.20/0.61 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.
% 0.20/0.61 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.
% 0.20/0.61 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.
% 0.20/0.61
% 0.20/0.61 Goal 1 (prove_AC): holds(on(a, c), X) = true.
% 0.20/0.61 The goal is true when:
% 0.20/0.61 X = do(putdown(a, c), do(pickup(a), s0))
% 0.20/0.61
% 0.20/0.61 Proof:
% 0.20/0.61 holds(on(a, c), do(putdown(a, c), do(pickup(a), s0)))
% 0.20/0.61 = { by axiom 6 (ifeq_axiom) R->L }
% 0.20/0.61 ifeq(true, true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 0.20/0.61 = { by axiom 8 (pickup_4) R->L }
% 0.20/0.61 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)
% 0.20/0.61 = { by axiom 5 (initial_state7) }
% 0.20/0.61 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)
% 0.20/0.61 = { by axiom 6 (ifeq_axiom) }
% 0.20/0.61 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)
% 0.20/0.61 = { by axiom 6 (ifeq_axiom) R->L }
% 0.20/0.61 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)
% 0.20/0.61 = { by axiom 3 (differ_a_c) R->L }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 7 (symmetry_of_differ) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 6 (ifeq_axiom) }
% 2.06/0.61 ifeq(holds(clear(c), do(pickup(a), s0)), true, holds(on(a, c), do(putdown(a, c), do(pickup(a), s0))), true)
% 2.06/0.61 = { by axiom 6 (ifeq_axiom) R->L }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 10 (pickup_1) R->L }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 4 (initial_state5) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 2 (differ_a_table) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 6 (ifeq_axiom) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 1 (initial_state8) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 6 (ifeq_axiom) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 6 (ifeq_axiom) }
% 2.06/0.61 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)
% 2.06/0.61 = { by axiom 9 (putdown_2) }
% 2.06/0.61 true
% 2.06/0.61 % SZS output end Proof
% 2.06/0.61
% 2.06/0.61 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------