TSTP Solution File: PLA015-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PLA015-1 : 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 17:31:23 EDT 2022
% Result : Unsatisfiable 189.81s 190.22s
% Output : Refutation 189.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : PLA015-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue May 31 23:34:14 EDT 2022
% 0.09/0.29 % CPUTime :
% 189.81/190.22 ============================== Prover9 ===============================
% 189.81/190.22 Prover9 (32) version 2009-11A, November 2009.
% 189.81/190.22 Process 8922 was started by sandbox2 on n032.cluster.edu,
% 189.81/190.22 Tue May 31 23:34:14 2022
% 189.81/190.22 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8769_n032.cluster.edu".
% 189.81/190.22 ============================== end of head ===========================
% 189.81/190.22
% 189.81/190.22 ============================== INPUT =================================
% 189.81/190.22
% 189.81/190.22 % Reading from file /tmp/Prover9_8769_n032.cluster.edu
% 189.81/190.22
% 189.81/190.22 set(prolog_style_variables).
% 189.81/190.22 set(auto2).
% 189.81/190.22 % set(auto2) -> set(auto).
% 189.81/190.22 % set(auto) -> set(auto_inference).
% 189.81/190.22 % set(auto) -> set(auto_setup).
% 189.81/190.22 % set(auto_setup) -> set(predicate_elim).
% 189.81/190.22 % set(auto_setup) -> assign(eq_defs, unfold).
% 189.81/190.22 % set(auto) -> set(auto_limits).
% 189.81/190.22 % set(auto_limits) -> assign(max_weight, "100.000").
% 189.81/190.22 % set(auto_limits) -> assign(sos_limit, 20000).
% 189.81/190.22 % set(auto) -> set(auto_denials).
% 189.81/190.22 % set(auto) -> set(auto_process).
% 189.81/190.22 % set(auto2) -> assign(new_constants, 1).
% 189.81/190.22 % set(auto2) -> assign(fold_denial_max, 3).
% 189.81/190.22 % set(auto2) -> assign(max_weight, "200.000").
% 189.81/190.22 % set(auto2) -> assign(max_hours, 1).
% 189.81/190.22 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 189.81/190.22 % set(auto2) -> assign(max_seconds, 0).
% 189.81/190.22 % set(auto2) -> assign(max_minutes, 5).
% 189.81/190.22 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 189.81/190.22 % set(auto2) -> set(sort_initial_sos).
% 189.81/190.22 % set(auto2) -> assign(sos_limit, -1).
% 189.81/190.22 % set(auto2) -> assign(lrs_ticks, 3000).
% 189.81/190.22 % set(auto2) -> assign(max_megs, 400).
% 189.81/190.22 % set(auto2) -> assign(stats, some).
% 189.81/190.22 % set(auto2) -> clear(echo_input).
% 189.81/190.22 % set(auto2) -> set(quiet).
% 189.81/190.22 % set(auto2) -> clear(print_initial_clauses).
% 189.81/190.22 % set(auto2) -> clear(print_given).
% 189.81/190.22 assign(lrs_ticks,-1).
% 189.81/190.22 assign(sos_limit,10000).
% 189.81/190.22 assign(order,kbo).
% 189.81/190.22 set(lex_order_vars).
% 189.81/190.22 clear(print_given).
% 189.81/190.22
% 189.81/190.22 % formulas(sos). % not echoed (31 formulas)
% 189.81/190.22
% 189.81/190.22 ============================== end of input ==========================
% 189.81/190.22
% 189.81/190.22 % From the command line: assign(max_seconds, 300).
% 189.81/190.22
% 189.81/190.22 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 189.81/190.22
% 189.81/190.22 % Formulas that are not ordinary clauses:
% 189.81/190.22
% 189.81/190.22 ============================== end of process non-clausal formulas ===
% 189.81/190.22
% 189.81/190.22 ============================== PROCESS INITIAL CLAUSES ===============
% 189.81/190.22
% 189.81/190.22 ============================== PREDICATE ELIMINATION =================
% 189.81/190.22
% 189.81/190.22 ============================== end predicate elimination =============
% 189.81/190.22
% 189.81/190.22 Auto_denials:
% 189.81/190.22 % copying label prove_ABD to answer in negative clause
% 189.81/190.22
% 189.81/190.22 Term ordering decisions:
% 189.81/190.22 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.
% 189.81/190.22
% 189.81/190.22 ============================== end of process initial clauses ========
% 189.81/190.22
% 189.81/190.22 ============================== CLAUSES FOR SEARCH ====================
% 189.81/190.22
% 189.81/190.22 ============================== end of clauses for search =============
% 189.81/190.22
% 189.81/190.22 ============================== SEARCH ================================
% 189.81/190.22
% 189.81/190.22 % Starting search at 0.01 seconds.
% 189.81/190.22
% 189.81/190.22 Low Water (keep): wt=15.000, iters=3506
% 189.81/190.22
% 189.81/190.22 Low Water (keep): wt=14.000, iters=3358
% 189.81/190.22
% 189.81/190.22 Low Water (keep): wt=13.000, iters=3339
% 189.81/190.22
% 189.81/190.22 Low Water (keep): wt=12.000, iters=3350
% 189.81/190.22
% 189.81/190.22 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 0.33 sec).
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=9453, wt=52.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=6313, wt=48.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=9474, wt=47.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=6309, wt=46.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=6281, wt=43.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=6350, wt=42.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=6351, wt=41.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=9544, wt=40.000
% 189.81/190.22
% 189.81/190.22 Low Water (displace): id=9683, wt=39.000
% 189.81/190.22
% 189.81/190.22 ============================== PROOF =================================
% 189.81/190.22 % SZS status Unsatisfiable
% 189.81/190.22 % SZS output start Refutation
% 189.81/190.22
% 189.81/190.22 % Proof 1 at 159.94 (+ 29.39) seconds: prove_ABD.
% 189.81/190.22 % Length of proof is 56.
% 189.81/190.22 % Level of proof is 19.
% 189.81/190.22 % Maximum clause weight is 31.000.
% 189.81/190.22 % Given clauses 15621.
% 189.81/190.22
% 189.81/190.22 1 differ(a,b) # label(differ_a_b) # label(axiom). [assumption].
% 189.81/190.22 2 differ(a,c) # label(differ_a_c) # label(axiom). [assumption].
% 189.81/190.22 3 differ(a,d) # label(differ_a_d) # label(axiom). [assumption].
% 189.81/190.22 4 differ(a,table) # label(differ_a_table) # label(axiom). [assumption].
% 189.81/190.22 5 differ(b,c) # label(differ_b_c) # label(axiom). [assumption].
% 189.81/190.22 6 differ(b,d) # label(differ_b_d) # label(axiom). [assumption].
% 189.81/190.22 7 differ(b,table) # label(differ_b_table) # label(axiom). [assumption].
% 189.81/190.22 9 differ(c,table) # label(differ_c_table) # label(axiom). [assumption].
% 189.81/190.22 10 differ(d,table) # label(differ_d_table) # label(axiom). [assumption].
% 189.81/190.22 11 holds(empty,s0) # label(initial_state8) # label(axiom). [assumption].
% 189.81/190.22 12 holds(clear(a),s0) # label(initial_state5) # label(axiom). [assumption].
% 189.81/190.22 13 holds(clear(b),s0) # label(initial_state6) # label(axiom). [assumption].
% 189.81/190.22 14 holds(clear(c),s0) # label(initial_state7) # label(axiom). [assumption].
% 189.81/190.22 15 holds(clear(table),A) # label(clear_table) # label(axiom). [assumption].
% 189.81/190.22 18 holds(on(c,d),s0) # label(initial_state3) # label(axiom). [assumption].
% 189.81/190.22 20 -holds(and(on(a,b),on(b,d)),A) # label(prove_ABD) # label(negated_conjecture) # answer(prove_ABD). [assumption].
% 189.81/190.22 21 differ(A,B) | -differ(B,A) # label(symmetry_of_differ) # label(axiom). [assumption].
% 189.81/190.22 22 holds(and(A,B),C) | -holds(A,C) | -holds(B,C) # label(and_definition) # label(axiom). [assumption].
% 189.81/190.22 23 holds(clear(A),do(pickup(B),C)) | -holds(clear(A),C) | -differ(A,B) # label(pickup_4) # label(axiom). [assumption].
% 189.81/190.22 24 holds(on(A,B),do(putdown(C,D),E)) | -holds(on(A,B),E) # label(putdown_4) # label(axiom). [assumption].
% 189.81/190.22 25 holds(empty,do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_1) # label(axiom). [assumption].
% 189.81/190.22 26 holds(clear(A),do(putdown(B,C),D)) | -holds(clear(A),D) | -differ(A,C) # label(putdown_5) # label(axiom). [assumption].
% 189.81/190.22 27 holds(on(A,B),do(pickup(C),D)) | -holds(on(A,B),D) | -differ(A,C) # label(pickup_3) # label(axiom). [assumption].
% 189.81/190.22 28 holds(clear(A),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_3) # label(axiom). [assumption].
% 189.81/190.22 29 holds(holding(A),do(pickup(A),B)) | -holds(empty,B) | -holds(clear(A),B) | -differ(A,table) # label(pickup_1) # label(axiom). [assumption].
% 189.81/190.22 30 holds(on(A,B),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_2) # label(axiom). [assumption].
% 189.81/190.22 31 holds(clear(A),do(pickup(B),C)) | -holds(on(B,A),C) | -holds(clear(B),C) | -holds(empty,C) # label(pickup_2) # label(axiom). [assumption].
% 189.81/190.22 36 differ(d,b). [ur(21,b,6,a)].
% 189.81/190.22 41 differ(b,a). [ur(21,b,1,a)].
% 189.81/190.22 42 -holds(on(a,b),A) | -holds(on(b,d),A) # answer(prove_ABD). [resolve(22,a,20,a)].
% 189.81/190.22 128 holds(clear(b),do(pickup(c),s0)). [ur(23,b,13,a,c,5,a)].
% 189.81/190.22 131 holds(clear(a),do(pickup(c),s0)). [ur(23,b,12,a,c,2,a)].
% 189.81/190.22 156 holds(holding(c),do(pickup(c),s0)). [ur(29,b,11,a,c,14,a,d,9,a)].
% 189.81/190.22 159 holds(clear(d),do(pickup(c),s0)). [ur(31,b,18,a,c,14,a,d,11,a)].
% 189.81/190.22 165 -holds(on(a,b),do(putdown(A,B),C)) | -holds(on(b,d),C) # answer(prove_ABD). [resolve(42,b,24,a)].
% 189.81/190.22 178 -holds(on(b,d),A) | -holds(holding(a),A) | -holds(clear(b),A) # answer(prove_ABD). [resolve(165,a,30,a)].
% 189.81/190.22 188 -holds(holding(a),do(pickup(A),B)) | -holds(clear(b),do(pickup(A),B)) | -holds(on(b,d),B) | -differ(b,A) # answer(prove_ABD). [resolve(178,a,27,a)].
% 189.81/190.22 3036 holds(clear(b),do(putdown(A,table),do(pickup(c),s0))). [ur(26,b,128,a,c,7,a)].
% 189.81/190.22 3191 holds(clear(a),do(putdown(A,table),do(pickup(c),s0))). [ur(26,b,131,a,c,4,a)].
% 189.81/190.22 3227 holds(empty,do(putdown(c,table),do(pickup(c),s0))). [ur(25,b,156,a,c,15,a)].
% 189.81/190.22 3384 holds(clear(d),do(putdown(A,table),do(pickup(c),s0))). [ur(26,b,159,a,c,10,a)].
% 189.81/190.22 6129 -holds(holding(a),do(pickup(A),B)) | -holds(on(b,d),B) | -differ(b,A) | -holds(clear(b),B) # answer(prove_ABD). [resolve(188,b,23,a),merge(e)].
% 189.81/190.22 6171 -holds(holding(a),do(pickup(a),A)) | -holds(on(b,d),A) | -holds(clear(b),A) # answer(prove_ABD). [resolve(6129,c,41,a)].
% 189.81/190.22 6187 -holds(on(b,d),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(a),A) | -differ(a,table) # answer(prove_ABD). [resolve(6171,a,29,a)].
% 189.81/190.22 6421 -holds(on(b,d),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(a),A) # answer(prove_ABD). [resolve(6187,e,4,a)].
% 189.81/190.22 6448 -holds(clear(b),do(putdown(b,d),A)) | -holds(empty,do(putdown(b,d),A)) | -holds(clear(a),do(putdown(b,d),A)) | -holds(holding(b),A) | -holds(clear(d),A) # answer(prove_ABD). [resolve(6421,a,30,a)].
% 189.81/190.22 24989 -holds(empty,do(putdown(b,d),A)) | -holds(clear(a),do(putdown(b,d),A)) | -holds(holding(b),A) | -holds(clear(d),A) # answer(prove_ABD). [resolve(6448,a,28,a),merge(e),merge(f)].
% 189.81/190.22 25025 -holds(clear(a),do(putdown(b,d),A)) | -holds(holding(b),A) | -holds(clear(d),A) # answer(prove_ABD). [resolve(24989,a,25,a),merge(d),merge(e)].
% 189.81/190.22 25039 -holds(holding(b),A) | -holds(clear(d),A) | -holds(clear(a),A) | -differ(a,d) # answer(prove_ABD). [resolve(25025,a,26,a)].
% 189.81/190.22 25133 -holds(holding(b),A) | -holds(clear(d),A) | -holds(clear(a),A) # answer(prove_ABD). [resolve(25039,d,3,a)].
% 189.81/190.22 25156 -holds(holding(b),do(pickup(A),B)) | -holds(clear(a),do(pickup(A),B)) | -holds(clear(d),B) | -differ(d,A) # answer(prove_ABD). [resolve(25133,b,23,a)].
% 189.81/190.22 25352 -holds(holding(b),do(pickup(b),A)) | -holds(clear(a),do(pickup(b),A)) | -holds(clear(d),A) # answer(prove_ABD). [resolve(25156,d,36,a)].
% 189.81/190.22 25374 -holds(holding(b),do(pickup(b),A)) | -holds(clear(d),A) | -holds(clear(a),A) | -differ(a,b) # answer(prove_ABD). [resolve(25352,b,23,a)].
% 189.81/190.22 25455 -holds(holding(b),do(pickup(b),do(putdown(A,table),do(pickup(c),s0)))) # answer(prove_ABD). [ur(25374,b,3384,a,c,3191,a,d,1,a)].
% 189.81/190.22 25477 -holds(empty,do(putdown(A,table),do(pickup(c),s0))) # answer(prove_ABD). [ur(29,a,25455,a,c,3036,a,d,7,a)].
% 189.81/190.22 25478 $F # answer(prove_ABD). [resolve(25477,a,3227,a)].
% 189.81/190.22
% 189.81/190.22 % SZS output end Refutation
% 189.81/190.22 ============================== end of proof ==========================
% 189.81/190.22
% 189.81/190.22 ============================== STATISTICS ============================
% 189.81/190.22
% 189.81/190.22 Given=15621. Generated=54609298. Kept=25477. proofs=1.
% 189.81/190.22 Usable=15596. Sos=9524. Demods=0. Limbo=1, Disabled=386. Hints=0.
% 189.81/190.22 Megabytes=25.80.
% 189.81/190.22 User_CPU=159.94, System_CPU=29.39, Wall_clock=190.
% 189.81/190.22
% 189.81/190.22 ============================== end of statistics =====================
% 189.81/190.22
% 189.81/190.22 ============================== end of search =========================
% 189.81/190.22
% 189.81/190.22 THEOREM PROVED
% 189.81/190.22 % SZS status Unsatisfiable
% 189.81/190.22
% 189.81/190.22 Exiting with 1 proof.
% 189.81/190.22
% 189.81/190.22 Process 8922 exit (max_proofs) Tue May 31 23:37:24 2022
% 189.83/190.22 Prover9 interrupted
%------------------------------------------------------------------------------