TSTP Solution File: PLA013-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PLA013-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 5.26s 5.54s
% Output : Refutation 5.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PLA013-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 20:28:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.26/5.54 ============================== Prover9 ===============================
% 5.26/5.54 Prover9 (32) version 2009-11A, November 2009.
% 5.26/5.54 Process 8398 was started by sandbox on n025.cluster.edu,
% 5.26/5.54 Tue May 31 20:28:14 2022
% 5.26/5.54 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8244_n025.cluster.edu".
% 5.26/5.54 ============================== end of head ===========================
% 5.26/5.54
% 5.26/5.54 ============================== INPUT =================================
% 5.26/5.54
% 5.26/5.54 % Reading from file /tmp/Prover9_8244_n025.cluster.edu
% 5.26/5.54
% 5.26/5.54 set(prolog_style_variables).
% 5.26/5.54 set(auto2).
% 5.26/5.54 % set(auto2) -> set(auto).
% 5.26/5.54 % set(auto) -> set(auto_inference).
% 5.26/5.54 % set(auto) -> set(auto_setup).
% 5.26/5.54 % set(auto_setup) -> set(predicate_elim).
% 5.26/5.54 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.26/5.54 % set(auto) -> set(auto_limits).
% 5.26/5.54 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.26/5.54 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.26/5.54 % set(auto) -> set(auto_denials).
% 5.26/5.54 % set(auto) -> set(auto_process).
% 5.26/5.54 % set(auto2) -> assign(new_constants, 1).
% 5.26/5.54 % set(auto2) -> assign(fold_denial_max, 3).
% 5.26/5.54 % set(auto2) -> assign(max_weight, "200.000").
% 5.26/5.54 % set(auto2) -> assign(max_hours, 1).
% 5.26/5.54 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.26/5.54 % set(auto2) -> assign(max_seconds, 0).
% 5.26/5.54 % set(auto2) -> assign(max_minutes, 5).
% 5.26/5.54 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.26/5.54 % set(auto2) -> set(sort_initial_sos).
% 5.26/5.54 % set(auto2) -> assign(sos_limit, -1).
% 5.26/5.54 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.26/5.54 % set(auto2) -> assign(max_megs, 400).
% 5.26/5.54 % set(auto2) -> assign(stats, some).
% 5.26/5.54 % set(auto2) -> clear(echo_input).
% 5.26/5.54 % set(auto2) -> set(quiet).
% 5.26/5.54 % set(auto2) -> clear(print_initial_clauses).
% 5.26/5.54 % set(auto2) -> clear(print_given).
% 5.26/5.54 assign(lrs_ticks,-1).
% 5.26/5.54 assign(sos_limit,10000).
% 5.26/5.54 assign(order,kbo).
% 5.26/5.54 set(lex_order_vars).
% 5.26/5.54 clear(print_given).
% 5.26/5.54
% 5.26/5.54 % formulas(sos). % not echoed (31 formulas)
% 5.26/5.54
% 5.26/5.54 ============================== end of input ==========================
% 5.26/5.54
% 5.26/5.54 % From the command line: assign(max_seconds, 300).
% 5.26/5.54
% 5.26/5.54 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.26/5.54
% 5.26/5.54 % Formulas that are not ordinary clauses:
% 5.26/5.54
% 5.26/5.54 ============================== end of process non-clausal formulas ===
% 5.26/5.54
% 5.26/5.54 ============================== PROCESS INITIAL CLAUSES ===============
% 5.26/5.54
% 5.26/5.54 ============================== PREDICATE ELIMINATION =================
% 5.26/5.54
% 5.26/5.54 ============================== end predicate elimination =============
% 5.26/5.54
% 5.26/5.54 Auto_denials:
% 5.26/5.54 % copying label prove_ACB to answer in negative clause
% 5.26/5.54
% 5.26/5.54 Term ordering decisions:
% 5.26/5.54 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.
% 5.26/5.54
% 5.26/5.54 ============================== end of process initial clauses ========
% 5.26/5.54
% 5.26/5.54 ============================== CLAUSES FOR SEARCH ====================
% 5.26/5.54
% 5.26/5.54 ============================== end of clauses for search =============
% 5.26/5.54
% 5.26/5.54 ============================== SEARCH ================================
% 5.26/5.54
% 5.26/5.54 % Starting search at 0.01 seconds.
% 5.26/5.54
% 5.26/5.54 Low Water (keep): wt=15.000, iters=3506
% 5.26/5.54
% 5.26/5.54 Low Water (keep): wt=14.000, iters=3358
% 5.26/5.54
% 5.26/5.54 Low Water (keep): wt=13.000, iters=3339
% 5.26/5.54
% 5.26/5.54 Low Water (keep): wt=12.000, iters=3350
% 5.26/5.54
% 5.26/5.54 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 36 (0.00 of 0.35 sec).
% 5.26/5.54
% 5.26/5.54 ============================== PROOF =================================
% 5.26/5.54 % SZS status Unsatisfiable
% 5.26/5.54 % SZS output start Refutation
% 5.26/5.54
% 5.26/5.54 % Proof 1 at 3.83 (+ 0.71) seconds: prove_ACB.
% 5.26/5.54 % Length of proof is 38.
% 5.26/5.54 % Level of proof is 10.
% 5.26/5.54 % Maximum clause weight is 22.000.
% 5.26/5.54 % Given clauses 2603.
% 5.26/5.54
% 5.26/5.54 1 differ(a,b) # label(differ_a_b) # label(axiom). [assumption].
% 5.26/5.54 2 differ(a,c) # label(differ_a_c) # label(axiom). [assumption].
% 5.26/5.54 4 differ(a,table) # label(differ_a_table) # label(axiom). [assumption].
% 5.26/5.54 5 differ(b,c) # label(differ_b_c) # label(axiom). [assumption].
% 5.26/5.54 9 differ(c,table) # label(differ_c_table) # label(axiom). [assumption].
% 5.26/5.54 11 holds(empty,s0) # label(initial_state8) # label(axiom). [assumption].
% 5.26/5.54 12 holds(clear(a),s0) # label(initial_state5) # label(axiom). [assumption].
% 5.26/5.54 13 holds(clear(b),s0) # label(initial_state6) # label(axiom). [assumption].
% 5.26/5.54 14 holds(clear(c),s0) # label(initial_state7) # label(axiom). [assumption].
% 5.26/5.54 20 -holds(and(on(a,c),on(c,b)),A) # label(prove_ACB) # label(negated_conjecture) # answer(prove_ACB). [assumption].
% 5.26/5.54 21 differ(A,B) | -differ(B,A) # label(symmetry_of_differ) # label(axiom). [assumption].
% 5.26/5.54 22 holds(and(A,B),C) | -holds(A,C) | -holds(B,C) # label(and_definition) # label(axiom). [assumption].
% 5.26/5.54 23 holds(clear(A),do(pickup(B),C)) | -holds(clear(A),C) | -differ(A,B) # label(pickup_4) # label(axiom). [assumption].
% 5.26/5.54 24 holds(on(A,B),do(putdown(C,D),E)) | -holds(on(A,B),E) # label(putdown_4) # label(axiom). [assumption].
% 5.26/5.54 25 holds(empty,do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_1) # label(axiom). [assumption].
% 5.26/5.54 26 holds(clear(A),do(putdown(B,C),D)) | -holds(clear(A),D) | -differ(A,C) # label(putdown_5) # label(axiom). [assumption].
% 5.26/5.54 27 holds(on(A,B),do(pickup(C),D)) | -holds(on(A,B),D) | -differ(A,C) # label(pickup_3) # label(axiom). [assumption].
% 5.26/5.54 28 holds(clear(A),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_3) # label(axiom). [assumption].
% 5.26/5.54 29 holds(holding(A),do(pickup(A),B)) | -holds(empty,B) | -holds(clear(A),B) | -differ(A,table) # label(pickup_1) # label(axiom). [assumption].
% 5.26/5.54 30 holds(on(A,B),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_2) # label(axiom). [assumption].
% 5.26/5.54 40 differ(c,a). [ur(21,b,2,a)].
% 5.26/5.54 42 -holds(on(a,c),A) | -holds(on(c,b),A) # answer(prove_ACB). [resolve(22,a,20,a)].
% 5.26/5.54 128 holds(clear(b),do(pickup(c),s0)). [ur(23,b,13,a,c,5,a)].
% 5.26/5.54 131 holds(clear(a),do(pickup(c),s0)). [ur(23,b,12,a,c,2,a)].
% 5.26/5.54 156 holds(holding(c),do(pickup(c),s0)). [ur(29,b,11,a,c,14,a,d,9,a)].
% 5.26/5.54 165 -holds(on(a,c),do(putdown(A,B),C)) | -holds(on(c,b),C) # answer(prove_ACB). [resolve(42,b,24,a)].
% 5.26/5.54 184 -holds(on(c,b),A) | -holds(holding(a),A) | -holds(clear(c),A) # answer(prove_ACB). [resolve(165,a,30,a)].
% 5.26/5.54 189 -holds(holding(a),do(pickup(A),B)) | -holds(clear(c),do(pickup(A),B)) | -holds(on(c,b),B) | -differ(c,A) # answer(prove_ACB). [resolve(184,a,27,a)].
% 5.26/5.54 3193 holds(clear(a),do(putdown(A,b),do(pickup(c),s0))). [ur(26,b,131,a,c,1,a)].
% 5.26/5.54 3221 holds(on(c,b),do(putdown(c,b),do(pickup(c),s0))). [ur(30,b,156,a,c,128,a)].
% 5.26/5.54 3224 holds(clear(c),do(putdown(c,b),do(pickup(c),s0))). [ur(28,b,156,a,c,128,a)].
% 5.26/5.54 3227 holds(empty,do(putdown(c,b),do(pickup(c),s0))). [ur(25,b,156,a,c,128,a)].
% 5.26/5.54 6210 -holds(holding(a),do(pickup(A),B)) | -holds(on(c,b),B) | -differ(c,A) | -holds(clear(c),B) # answer(prove_ACB). [resolve(189,b,23,a),merge(e)].
% 5.26/5.54 6286 -holds(holding(a),do(pickup(a),A)) | -holds(on(c,b),A) | -holds(clear(c),A) # answer(prove_ACB). [resolve(6210,c,40,a)].
% 5.26/5.54 6302 -holds(on(c,b),A) | -holds(clear(c),A) | -holds(empty,A) | -holds(clear(a),A) | -differ(a,table) # answer(prove_ACB). [resolve(6286,a,29,a)].
% 5.26/5.54 6569 -holds(on(c,b),A) | -holds(clear(c),A) | -holds(empty,A) | -holds(clear(a),A) # answer(prove_ACB). [resolve(6302,e,4,a)].
% 5.26/5.54 11625 -holds(on(c,b),do(putdown(c,b),do(pickup(c),s0))) # answer(prove_ACB). [ur(6569,b,3224,a,c,3227,a,d,3193,a)].
% 5.26/5.54 11626 $F # answer(prove_ACB). [resolve(11625,a,3221,a)].
% 5.26/5.54
% 5.26/5.54 % SZS output end Refutation
% 5.26/5.54 ============================== end of proof ==========================
% 5.26/5.54
% 5.26/5.54 ============================== STATISTICS ============================
% 5.26/5.54
% 5.26/5.54 Given=2603. Generated=1379166. Kept=11625. proofs=1.
% 5.26/5.54 Usable=2586. Sos=8844. Demods=0. Limbo=9, Disabled=216. Hints=0.
% 5.26/5.54 Megabytes=11.29.
% 5.26/5.54 User_CPU=3.83, System_CPU=0.71, Wall_clock=4.
% 5.26/5.54
% 5.26/5.54 ============================== end of statistics =====================
% 5.26/5.54
% 5.26/5.54 ============================== end of search =========================
% 5.26/5.54
% 5.26/5.54 THEOREM PROVED
% 5.26/5.54 % SZS status Unsatisfiable
% 5.26/5.54
% 5.26/5.54 Exiting with 1 proof.
% 5.26/5.54
% 5.26/5.54 Process 8398 exit (max_proofs) Tue May 31 20:28:18 2022
% 5.26/5.54 Prover9 interrupted
%------------------------------------------------------------------------------