TSTP Solution File: PLA004-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PLA004-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 : 600s
% DateTime : Mon Jul 18 17:31:21 EDT 2022
% Result : Unsatisfiable 4.91s 5.22s
% Output : Refutation 4.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.08 % Problem : PLA004-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.08 % Command : tptp2X_and_run_prover9 %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Tue May 31 20:22:44 EDT 2022
% 0.07/0.27 % CPUTime :
% 4.91/5.22 ============================== Prover9 ===============================
% 4.91/5.22 Prover9 (32) version 2009-11A, November 2009.
% 4.91/5.22 Process 9909 was started by sandbox2 on n032.cluster.edu,
% 4.91/5.22 Tue May 31 20:22:44 2022
% 4.91/5.22 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_9755_n032.cluster.edu".
% 4.91/5.22 ============================== end of head ===========================
% 4.91/5.22
% 4.91/5.22 ============================== INPUT =================================
% 4.91/5.22
% 4.91/5.22 % Reading from file /tmp/Prover9_9755_n032.cluster.edu
% 4.91/5.22
% 4.91/5.22 set(prolog_style_variables).
% 4.91/5.22 set(auto2).
% 4.91/5.22 % set(auto2) -> set(auto).
% 4.91/5.22 % set(auto) -> set(auto_inference).
% 4.91/5.22 % set(auto) -> set(auto_setup).
% 4.91/5.22 % set(auto_setup) -> set(predicate_elim).
% 4.91/5.22 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.91/5.22 % set(auto) -> set(auto_limits).
% 4.91/5.22 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.91/5.22 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.91/5.22 % set(auto) -> set(auto_denials).
% 4.91/5.22 % set(auto) -> set(auto_process).
% 4.91/5.22 % set(auto2) -> assign(new_constants, 1).
% 4.91/5.22 % set(auto2) -> assign(fold_denial_max, 3).
% 4.91/5.22 % set(auto2) -> assign(max_weight, "200.000").
% 4.91/5.22 % set(auto2) -> assign(max_hours, 1).
% 4.91/5.22 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.91/5.22 % set(auto2) -> assign(max_seconds, 0).
% 4.91/5.22 % set(auto2) -> assign(max_minutes, 5).
% 4.91/5.22 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.91/5.22 % set(auto2) -> set(sort_initial_sos).
% 4.91/5.22 % set(auto2) -> assign(sos_limit, -1).
% 4.91/5.22 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.91/5.22 % set(auto2) -> assign(max_megs, 400).
% 4.91/5.22 % set(auto2) -> assign(stats, some).
% 4.91/5.22 % set(auto2) -> clear(echo_input).
% 4.91/5.22 % set(auto2) -> set(quiet).
% 4.91/5.22 % set(auto2) -> clear(print_initial_clauses).
% 4.91/5.22 % set(auto2) -> clear(print_given).
% 4.91/5.22 assign(lrs_ticks,-1).
% 4.91/5.22 assign(sos_limit,10000).
% 4.91/5.22 assign(order,kbo).
% 4.91/5.22 set(lex_order_vars).
% 4.91/5.22 clear(print_given).
% 4.91/5.22
% 4.91/5.22 % formulas(sos). % not echoed (31 formulas)
% 4.91/5.22
% 4.91/5.22 ============================== end of input ==========================
% 4.91/5.22
% 4.91/5.22 % From the command line: assign(max_seconds, 300).
% 4.91/5.22
% 4.91/5.22 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.91/5.22
% 4.91/5.22 % Formulas that are not ordinary clauses:
% 4.91/5.22
% 4.91/5.22 ============================== end of process non-clausal formulas ===
% 4.91/5.22
% 4.91/5.22 ============================== PROCESS INITIAL CLAUSES ===============
% 4.91/5.22
% 4.91/5.22 ============================== PREDICATE ELIMINATION =================
% 4.91/5.22
% 4.91/5.22 ============================== end predicate elimination =============
% 4.91/5.22
% 4.91/5.22 Auto_denials:
% 4.91/5.22 % copying label prove_CBA to answer in negative clause
% 4.91/5.22
% 4.91/5.22 Term ordering decisions:
% 4.91/5.22 Function symbol KB weights: table=1. s0=1. a=1. b=1. c=1. d=1. empty=1. on=1. do=1. putdown=1. and=1. clear=1. holding=1. pickup=1.
% 4.91/5.22
% 4.91/5.22 ============================== end of process initial clauses ========
% 4.91/5.22
% 4.91/5.22 ============================== CLAUSES FOR SEARCH ====================
% 4.91/5.22
% 4.91/5.22 ============================== end of clauses for search =============
% 4.91/5.22
% 4.91/5.22 ============================== SEARCH ================================
% 4.91/5.22
% 4.91/5.22 % Starting search at 0.01 seconds.
% 4.91/5.22
% 4.91/5.22 Low Water (keep): wt=15.000, iters=3506
% 4.91/5.22
% 4.91/5.22 Low Water (keep): wt=14.000, iters=3358
% 4.91/5.22
% 4.91/5.22 Low Water (keep): wt=13.000, iters=3339
% 4.91/5.22
% 4.91/5.22 Low Water (keep): wt=12.000, iters=3350
% 4.91/5.22
% 4.91/5.22 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.28 sec).
% 4.91/5.22
% 4.91/5.22 ============================== PROOF =================================
% 4.91/5.22 % SZS status Unsatisfiable
% 4.91/5.22 % SZS output start Refutation
% 4.91/5.22
% 4.91/5.22 % Proof 1 at 3.82 (+ 0.68) seconds: prove_CBA.
% 4.91/5.22 % Length of proof is 39.
% 4.91/5.22 % Level of proof is 10.
% 4.91/5.22 % Maximum clause weight is 22.000.
% 4.91/5.22 % Given clauses 2631.
% 4.91/5.22
% 4.91/5.22 1 differ(a,b) # label(differ_a_b) # label(axiom). [assumption].
% 4.91/5.22 2 differ(a,c) # label(differ_a_c) # label(axiom). [assumption].
% 4.91/5.22 5 differ(b,c) # label(differ_b_c) # label(axiom). [assumption].
% 4.91/5.22 7 differ(b,table) # label(differ_b_table) # label(axiom). [assumption].
% 4.91/5.22 9 differ(c,table) # label(differ_c_table) # label(axiom). [assumption].
% 4.91/5.22 11 holds(empty,s0) # label(initial_state8) # label(axiom). [assumption].
% 4.91/5.22 12 holds(clear(a),s0) # label(initial_state5) # label(axiom). [assumption].
% 4.91/5.22 13 holds(clear(b),s0) # label(initial_state6) # label(axiom). [assumption].
% 4.91/5.22 14 holds(clear(c),s0) # label(initial_state7) # label(axiom). [assumption].
% 4.91/5.22 20 -holds(and(on(c,b),on(b,a)),A) # label(prove_CBA) # label(negated_conjecture) # answer(prove_CBA). [assumption].
% 4.91/5.22 21 differ(A,B) | -differ(B,A) # label(symmetry_of_differ) # label(axiom). [assumption].
% 4.91/5.22 22 holds(and(A,B),C) | -holds(A,C) | -holds(B,C) # label(and_definition) # label(axiom). [assumption].
% 4.91/5.22 23 holds(clear(A),do(pickup(B),C)) | -holds(clear(A),C) | -differ(A,B) # label(pickup_4) # label(axiom). [assumption].
% 4.91/5.22 24 holds(on(A,B),do(putdown(C,D),E)) | -holds(on(A,B),E) # label(putdown_4) # label(axiom). [assumption].
% 4.91/5.22 25 holds(empty,do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_1) # label(axiom). [assumption].
% 4.91/5.22 26 holds(clear(A),do(putdown(B,C),D)) | -holds(clear(A),D) | -differ(A,C) # label(putdown_5) # label(axiom). [assumption].
% 4.91/5.22 27 holds(on(A,B),do(pickup(C),D)) | -holds(on(A,B),D) | -differ(A,C) # label(pickup_3) # label(axiom). [assumption].
% 4.91/5.22 28 holds(clear(A),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_3) # label(axiom). [assumption].
% 4.91/5.22 29 holds(holding(A),do(pickup(A),B)) | -holds(empty,B) | -holds(clear(A),B) | -differ(A,table) # label(pickup_1) # label(axiom). [assumption].
% 4.91/5.22 30 holds(on(A,B),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_2) # label(axiom). [assumption].
% 4.91/5.22 37 differ(c,b). [ur(21,b,5,a)].
% 4.91/5.22 40 differ(c,a). [ur(21,b,2,a)].
% 4.91/5.22 42 -holds(on(c,b),A) | -holds(on(b,a),A) # answer(prove_CBA). [resolve(22,a,20,a)].
% 4.91/5.22 132 holds(clear(a),do(pickup(b),s0)). [ur(23,b,12,a,c,1,a)].
% 4.91/5.22 157 holds(holding(b),do(pickup(b),s0)). [ur(29,b,11,a,c,13,a,d,7,a)].
% 4.91/5.22 165 -holds(on(c,b),do(putdown(A,B),C)) | -holds(on(b,a),C) # answer(prove_CBA). [resolve(42,b,24,a)].
% 4.91/5.22 183 holds(clear(c),do(pickup(b),s0)). [ur(23,b,14,a,c,37,a)].
% 4.91/5.22 184 -holds(on(b,a),A) | -holds(holding(c),A) | -holds(clear(b),A) # answer(prove_CBA). [resolve(165,a,30,a)].
% 4.91/5.22 189 -holds(holding(c),do(pickup(A),B)) | -holds(clear(b),do(pickup(A),B)) | -holds(on(b,a),B) | -differ(b,A) # answer(prove_CBA). [resolve(184,a,27,a)].
% 4.91/5.22 3247 holds(on(b,a),do(putdown(b,a),do(pickup(b),s0))). [ur(30,b,157,a,c,132,a)].
% 4.91/5.22 3249 holds(clear(b),do(putdown(b,a),do(pickup(b),s0))). [ur(28,b,157,a,c,132,a)].
% 4.91/5.22 3251 holds(empty,do(putdown(b,a),do(pickup(b),s0))). [ur(25,b,157,a,c,132,a)].
% 4.91/5.22 3405 holds(clear(c),do(putdown(A,a),do(pickup(b),s0))). [ur(26,b,183,a,c,40,a)].
% 4.91/5.22 6186 -holds(holding(c),do(pickup(A),B)) | -holds(on(b,a),B) | -differ(b,A) | -holds(clear(b),B) # answer(prove_CBA). [resolve(189,b,23,a),merge(e)].
% 4.91/5.22 6303 -holds(holding(c),do(pickup(c),A)) | -holds(on(b,a),A) | -holds(clear(b),A) # answer(prove_CBA). [resolve(6186,c,5,a)].
% 4.91/5.22 6400 -holds(on(b,a),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(c),A) | -differ(c,table) # answer(prove_CBA). [resolve(6303,a,29,a)].
% 4.91/5.22 6600 -holds(on(b,a),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(c),A) # answer(prove_CBA). [resolve(6400,e,9,a)].
% 4.91/5.22 11761 -holds(on(b,a),do(putdown(b,a),do(pickup(b),s0))) # answer(prove_CBA). [ur(6600,b,3249,a,c,3251,a,d,3405,a)].
% 4.91/5.22 11762 $F # answer(prove_CBA). [resolve(11761,a,3247,a)].
% 4.91/5.22
% 4.91/5.22 % SZS output end Refutation
% 4.91/5.22 ============================== end of proof ==========================
% 4.91/5.22
% 4.91/5.22 ============================== STATISTICS ============================
% 4.91/5.22
% 4.91/5.22 Given=2631. Generated=1394286. Kept=11761. proofs=1.
% 4.91/5.22 Usable=2616. Sos=8961. Demods=0. Limbo=1, Disabled=213. Hints=0.
% 4.91/5.22 Megabytes=11.46.
% 4.91/5.22 User_CPU=3.82, System_CPU=0.68, Wall_clock=4.
% 4.91/5.22
% 4.91/5.22 ============================== end of statistics =====================
% 4.91/5.22
% 4.91/5.22 ============================== end of search =========================
% 4.91/5.22
% 4.91/5.22 THEOREM PROVED
% 4.91/5.22 % SZS status Unsatisfiable
% 4.91/5.22
% 4.91/5.22 Exiting with 1 proof.
% 4.91/5.22
% 4.91/5.22 Process 9909 exit (max_proofs) Tue May 31 20:22:48 2022
% 4.91/5.22 Prover9 interrupted
%------------------------------------------------------------------------------