TSTP Solution File: PLA014-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PLA014-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 17:31:22 EDT 2022
% Result : Unsatisfiable 5.46s 5.73s
% Output : Refutation 5.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA014-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 18:17:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.46/5.73 ============================== Prover9 ===============================
% 5.46/5.73 Prover9 (32) version 2009-11A, November 2009.
% 5.46/5.73 Process 26241 was started by sandbox2 on n029.cluster.edu,
% 5.46/5.73 Tue May 31 18:17:15 2022
% 5.46/5.73 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26088_n029.cluster.edu".
% 5.46/5.73 ============================== end of head ===========================
% 5.46/5.73
% 5.46/5.73 ============================== INPUT =================================
% 5.46/5.73
% 5.46/5.73 % Reading from file /tmp/Prover9_26088_n029.cluster.edu
% 5.46/5.73
% 5.46/5.73 set(prolog_style_variables).
% 5.46/5.73 set(auto2).
% 5.46/5.73 % set(auto2) -> set(auto).
% 5.46/5.73 % set(auto) -> set(auto_inference).
% 5.46/5.73 % set(auto) -> set(auto_setup).
% 5.46/5.73 % set(auto_setup) -> set(predicate_elim).
% 5.46/5.73 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.46/5.73 % set(auto) -> set(auto_limits).
% 5.46/5.73 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.46/5.73 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.46/5.73 % set(auto) -> set(auto_denials).
% 5.46/5.73 % set(auto) -> set(auto_process).
% 5.46/5.73 % set(auto2) -> assign(new_constants, 1).
% 5.46/5.73 % set(auto2) -> assign(fold_denial_max, 3).
% 5.46/5.73 % set(auto2) -> assign(max_weight, "200.000").
% 5.46/5.73 % set(auto2) -> assign(max_hours, 1).
% 5.46/5.73 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.46/5.73 % set(auto2) -> assign(max_seconds, 0).
% 5.46/5.73 % set(auto2) -> assign(max_minutes, 5).
% 5.46/5.73 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.46/5.73 % set(auto2) -> set(sort_initial_sos).
% 5.46/5.73 % set(auto2) -> assign(sos_limit, -1).
% 5.46/5.73 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.46/5.73 % set(auto2) -> assign(max_megs, 400).
% 5.46/5.73 % set(auto2) -> assign(stats, some).
% 5.46/5.73 % set(auto2) -> clear(echo_input).
% 5.46/5.73 % set(auto2) -> set(quiet).
% 5.46/5.73 % set(auto2) -> clear(print_initial_clauses).
% 5.46/5.73 % set(auto2) -> clear(print_given).
% 5.46/5.73 assign(lrs_ticks,-1).
% 5.46/5.73 assign(sos_limit,10000).
% 5.46/5.73 assign(order,kbo).
% 5.46/5.73 set(lex_order_vars).
% 5.46/5.73 clear(print_given).
% 5.46/5.73
% 5.46/5.73 % formulas(sos). % not echoed (31 formulas)
% 5.46/5.73
% 5.46/5.73 ============================== end of input ==========================
% 5.46/5.73
% 5.46/5.73 % From the command line: assign(max_seconds, 300).
% 5.46/5.73
% 5.46/5.73 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.46/5.73
% 5.46/5.73 % Formulas that are not ordinary clauses:
% 5.46/5.73
% 5.46/5.73 ============================== end of process non-clausal formulas ===
% 5.46/5.73
% 5.46/5.73 ============================== PROCESS INITIAL CLAUSES ===============
% 5.46/5.73
% 5.46/5.73 ============================== PREDICATE ELIMINATION =================
% 5.46/5.73
% 5.46/5.73 ============================== end predicate elimination =============
% 5.46/5.73
% 5.46/5.73 Auto_denials:
% 5.46/5.73 % copying label prove_ABC to answer in negative clause
% 5.46/5.73
% 5.46/5.73 Term ordering decisions:
% 5.46/5.73 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.
% 5.46/5.73
% 5.46/5.73 ============================== end of process initial clauses ========
% 5.46/5.73
% 5.46/5.73 ============================== CLAUSES FOR SEARCH ====================
% 5.46/5.73
% 5.46/5.73 ============================== end of clauses for search =============
% 5.46/5.73
% 5.46/5.73 ============================== SEARCH ================================
% 5.46/5.73
% 5.46/5.73 % Starting search at 0.01 seconds.
% 5.46/5.73
% 5.46/5.73 Low Water (keep): wt=15.000, iters=3506
% 5.46/5.73
% 5.46/5.73 Low Water (keep): wt=14.000, iters=3358
% 5.46/5.73
% 5.46/5.73 Low Water (keep): wt=13.000, iters=3339
% 5.46/5.73
% 5.46/5.73 Low Water (keep): wt=12.000, iters=3350
% 5.46/5.73
% 5.46/5.73 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 35 (0.00 of 0.35 sec).
% 5.46/5.73
% 5.46/5.73 ============================== PROOF =================================
% 5.46/5.73 % SZS status Unsatisfiable
% 5.46/5.73 % SZS output start Refutation
% 5.46/5.73
% 5.46/5.73 % Proof 1 at 4.04 (+ 0.71) seconds: prove_ABC.
% 5.46/5.73 % Length of proof is 39.
% 5.46/5.73 % Level of proof is 10.
% 5.46/5.73 % Maximum clause weight is 22.000.
% 5.46/5.73 % Given clauses 2630.
% 5.46/5.73
% 5.46/5.73 1 differ(a,b) # label(differ_a_b) # label(axiom). [assumption].
% 5.46/5.73 2 differ(a,c) # label(differ_a_c) # label(axiom). [assumption].
% 5.46/5.73 4 differ(a,table) # label(differ_a_table) # label(axiom). [assumption].
% 5.46/5.73 5 differ(b,c) # label(differ_b_c) # label(axiom). [assumption].
% 5.46/5.73 7 differ(b,table) # label(differ_b_table) # label(axiom). [assumption].
% 5.46/5.73 11 holds(empty,s0) # label(initial_state8) # label(axiom). [assumption].
% 5.46/5.73 12 holds(clear(a),s0) # label(initial_state5) # label(axiom). [assumption].
% 5.46/5.73 13 holds(clear(b),s0) # label(initial_state6) # label(axiom). [assumption].
% 5.46/5.73 14 holds(clear(c),s0) # label(initial_state7) # label(axiom). [assumption].
% 5.46/5.73 20 -holds(and(on(a,b),on(b,c)),A) # label(prove_ABC) # label(negated_conjecture) # answer(prove_ABC). [assumption].
% 5.46/5.73 21 differ(A,B) | -differ(B,A) # label(symmetry_of_differ) # label(axiom). [assumption].
% 5.46/5.73 22 holds(and(A,B),C) | -holds(A,C) | -holds(B,C) # label(and_definition) # label(axiom). [assumption].
% 5.46/5.73 23 holds(clear(A),do(pickup(B),C)) | -holds(clear(A),C) | -differ(A,B) # label(pickup_4) # label(axiom). [assumption].
% 5.46/5.73 24 holds(on(A,B),do(putdown(C,D),E)) | -holds(on(A,B),E) # label(putdown_4) # label(axiom). [assumption].
% 5.46/5.73 25 holds(empty,do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_1) # label(axiom). [assumption].
% 5.46/5.73 26 holds(clear(A),do(putdown(B,C),D)) | -holds(clear(A),D) | -differ(A,C) # label(putdown_5) # label(axiom). [assumption].
% 5.46/5.73 27 holds(on(A,B),do(pickup(C),D)) | -holds(on(A,B),D) | -differ(A,C) # label(pickup_3) # label(axiom). [assumption].
% 5.46/5.73 28 holds(clear(A),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_3) # label(axiom). [assumption].
% 5.46/5.73 29 holds(holding(A),do(pickup(A),B)) | -holds(empty,B) | -holds(clear(A),B) | -differ(A,table) # label(pickup_1) # label(axiom). [assumption].
% 5.46/5.73 30 holds(on(A,B),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_2) # label(axiom). [assumption].
% 5.46/5.73 37 differ(c,b). [ur(21,b,5,a)].
% 5.46/5.73 41 differ(b,a). [ur(21,b,1,a)].
% 5.46/5.73 42 -holds(on(a,b),A) | -holds(on(b,c),A) # answer(prove_ABC). [resolve(22,a,20,a)].
% 5.46/5.73 132 holds(clear(a),do(pickup(b),s0)). [ur(23,b,12,a,c,1,a)].
% 5.46/5.73 157 holds(holding(b),do(pickup(b),s0)). [ur(29,b,11,a,c,13,a,d,7,a)].
% 5.46/5.73 165 -holds(on(a,b),do(putdown(A,B),C)) | -holds(on(b,c),C) # answer(prove_ABC). [resolve(42,b,24,a)].
% 5.46/5.73 183 holds(clear(c),do(pickup(b),s0)). [ur(23,b,14,a,c,37,a)].
% 5.46/5.73 184 -holds(on(b,c),A) | -holds(holding(a),A) | -holds(clear(b),A) # answer(prove_ABC). [resolve(165,a,30,a)].
% 5.46/5.73 189 -holds(holding(a),do(pickup(A),B)) | -holds(clear(b),do(pickup(A),B)) | -holds(on(b,c),B) | -differ(b,A) # answer(prove_ABC). [resolve(184,a,27,a)].
% 5.46/5.73 3207 holds(clear(a),do(putdown(A,c),do(pickup(b),s0))). [ur(26,b,132,a,c,2,a)].
% 5.46/5.73 3397 holds(on(b,c),do(putdown(b,c),do(pickup(b),s0))). [ur(30,b,157,a,c,183,a)].
% 5.46/5.73 3398 holds(clear(b),do(putdown(b,c),do(pickup(b),s0))). [ur(28,b,157,a,c,183,a)].
% 5.46/5.73 3403 holds(empty,do(putdown(b,c),do(pickup(b),s0))). [ur(25,b,157,a,c,183,a)].
% 5.46/5.73 6201 -holds(holding(a),do(pickup(A),B)) | -holds(on(b,c),B) | -differ(b,A) | -holds(clear(b),B) # answer(prove_ABC). [resolve(189,b,23,a),merge(e)].
% 5.46/5.73 6314 -holds(holding(a),do(pickup(a),A)) | -holds(on(b,c),A) | -holds(clear(b),A) # answer(prove_ABC). [resolve(6201,c,41,a)].
% 5.46/5.73 6330 -holds(on(b,c),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(a),A) | -differ(a,table) # answer(prove_ABC). [resolve(6314,a,29,a)].
% 5.46/5.73 6615 -holds(on(b,c),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(a),A) # answer(prove_ABC). [resolve(6330,e,4,a)].
% 5.46/5.73 11674 -holds(on(b,c),do(putdown(b,c),do(pickup(b),s0))) # answer(prove_ABC). [ur(6615,b,3398,a,c,3403,a,d,3207,a)].
% 5.46/5.73 11675 $F # answer(prove_ABC). [resolve(11674,a,3397,a)].
% 5.46/5.73
% 5.46/5.73 % SZS output end Refutation
% 5.46/5.73 ============================== end of proof ==========================
% 5.46/5.73
% 5.46/5.73 ============================== STATISTICS ============================
% 5.46/5.73
% 5.46/5.73 Given=2630. Generated=1391565. Kept=11674. proofs=1.
% 5.46/5.73 Usable=2610. Sos=8866. Demods=0. Limbo=9, Disabled=219. Hints=0.
% 5.46/5.73 Megabytes=11.35.
% 5.46/5.73 User_CPU=4.04, System_CPU=0.71, Wall_clock=5.
% 5.46/5.73
% 5.46/5.73 ============================== end of statistics =====================
% 5.46/5.73
% 5.46/5.73 ============================== end of search =========================
% 5.46/5.73
% 5.46/5.73 THEOREM PROVED
% 5.46/5.73 % SZS status Unsatisfiable
% 5.46/5.73
% 5.46/5.73 Exiting with 1 proof.
% 5.46/5.73
% 5.46/5.73 Process 26241 exit (max_proofs) Tue May 31 18:17:20 2022
% 5.46/5.73 Prover9 interrupted
%------------------------------------------------------------------------------