TSTP Solution File: PLA018-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PLA018-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 173.46s 173.74s
% Output : Refutation 173.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA018-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 20:10:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 173.46/173.74 ============================== Prover9 ===============================
% 173.46/173.74 Prover9 (32) version 2009-11A, November 2009.
% 173.46/173.74 Process 20355 was started by sandbox2 on n020.cluster.edu,
% 173.46/173.74 Tue May 31 20:10:09 2022
% 173.46/173.74 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20002_n020.cluster.edu".
% 173.46/173.74 ============================== end of head ===========================
% 173.46/173.74
% 173.46/173.74 ============================== INPUT =================================
% 173.46/173.74
% 173.46/173.74 % Reading from file /tmp/Prover9_20002_n020.cluster.edu
% 173.46/173.74
% 173.46/173.74 set(prolog_style_variables).
% 173.46/173.74 set(auto2).
% 173.46/173.74 % set(auto2) -> set(auto).
% 173.46/173.74 % set(auto) -> set(auto_inference).
% 173.46/173.74 % set(auto) -> set(auto_setup).
% 173.46/173.74 % set(auto_setup) -> set(predicate_elim).
% 173.46/173.74 % set(auto_setup) -> assign(eq_defs, unfold).
% 173.46/173.74 % set(auto) -> set(auto_limits).
% 173.46/173.74 % set(auto_limits) -> assign(max_weight, "100.000").
% 173.46/173.74 % set(auto_limits) -> assign(sos_limit, 20000).
% 173.46/173.74 % set(auto) -> set(auto_denials).
% 173.46/173.74 % set(auto) -> set(auto_process).
% 173.46/173.74 % set(auto2) -> assign(new_constants, 1).
% 173.46/173.74 % set(auto2) -> assign(fold_denial_max, 3).
% 173.46/173.74 % set(auto2) -> assign(max_weight, "200.000").
% 173.46/173.74 % set(auto2) -> assign(max_hours, 1).
% 173.46/173.74 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 173.46/173.74 % set(auto2) -> assign(max_seconds, 0).
% 173.46/173.74 % set(auto2) -> assign(max_minutes, 5).
% 173.46/173.74 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 173.46/173.74 % set(auto2) -> set(sort_initial_sos).
% 173.46/173.74 % set(auto2) -> assign(sos_limit, -1).
% 173.46/173.74 % set(auto2) -> assign(lrs_ticks, 3000).
% 173.46/173.74 % set(auto2) -> assign(max_megs, 400).
% 173.46/173.74 % set(auto2) -> assign(stats, some).
% 173.46/173.74 % set(auto2) -> clear(echo_input).
% 173.46/173.74 % set(auto2) -> set(quiet).
% 173.46/173.74 % set(auto2) -> clear(print_initial_clauses).
% 173.46/173.74 % set(auto2) -> clear(print_given).
% 173.46/173.74 assign(lrs_ticks,-1).
% 173.46/173.74 assign(sos_limit,10000).
% 173.46/173.74 assign(order,kbo).
% 173.46/173.74 set(lex_order_vars).
% 173.46/173.74 clear(print_given).
% 173.46/173.74
% 173.46/173.74 % formulas(sos). % not echoed (31 formulas)
% 173.46/173.74
% 173.46/173.74 ============================== end of input ==========================
% 173.46/173.74
% 173.46/173.74 % From the command line: assign(max_seconds, 300).
% 173.46/173.74
% 173.46/173.74 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 173.46/173.74
% 173.46/173.74 % Formulas that are not ordinary clauses:
% 173.46/173.74
% 173.46/173.74 ============================== end of process non-clausal formulas ===
% 173.46/173.74
% 173.46/173.74 ============================== PROCESS INITIAL CLAUSES ===============
% 173.46/173.74
% 173.46/173.74 ============================== PREDICATE ELIMINATION =================
% 173.46/173.74
% 173.46/173.74 ============================== end predicate elimination =============
% 173.46/173.74
% 173.46/173.74 Auto_denials:
% 173.46/173.74 % copying label prove_AB_DC to answer in negative clause
% 173.46/173.74
% 173.46/173.74 Term ordering decisions:
% 173.46/173.74 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.
% 173.46/173.74
% 173.46/173.74 ============================== end of process initial clauses ========
% 173.46/173.74
% 173.46/173.74 ============================== CLAUSES FOR SEARCH ====================
% 173.46/173.74
% 173.46/173.74 ============================== end of clauses for search =============
% 173.46/173.74
% 173.46/173.74 ============================== SEARCH ================================
% 173.46/173.74
% 173.46/173.74 % Starting search at 0.01 seconds.
% 173.46/173.74
% 173.46/173.74 Low Water (keep): wt=15.000, iters=3506
% 173.46/173.74
% 173.46/173.74 Low Water (keep): wt=14.000, iters=3358
% 173.46/173.74
% 173.46/173.74 Low Water (keep): wt=13.000, iters=3339
% 173.46/173.74
% 173.46/173.74 Low Water (keep): wt=12.000, iters=3350
% 173.46/173.74
% 173.46/173.74 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 51 (0.00 of 0.26 sec).
% 173.46/173.74
% 173.46/173.74 ============================== PROOF =================================
% 173.46/173.74 % SZS status Unsatisfiable
% 173.46/173.74 % SZS output start Refutation
% 173.46/173.74
% 173.46/173.74 % Proof 1 at 145.32 (+ 27.42) seconds: prove_AB_DC.
% 173.46/173.74 % Length of proof is 57.
% 173.46/173.74 % Level of proof is 19.
% 173.46/173.74 % Maximum clause weight is 32.000.
% 173.46/173.74 % Given clauses 15821.
% 173.46/173.74
% 173.46/173.74 1 differ(a,b) # label(differ_a_b) # label(axiom). [assumption].
% 173.46/173.74 2 differ(a,c) # label(differ_a_c) # label(axiom). [assumption].
% 173.46/173.74 3 differ(a,d) # label(differ_a_d) # label(axiom). [assumption].
% 173.46/173.74 4 differ(a,table) # label(differ_a_table) # label(axiom). [assumption].
% 173.46/173.74 5 differ(b,c) # label(differ_b_c) # label(axiom). [assumption].
% 173.46/173.74 8 differ(c,d) # label(differ_c_d) # label(axiom). [assumption].
% 173.46/173.74 9 differ(c,table) # label(differ_c_table) # label(axiom). [assumption].
% 173.46/173.74 10 differ(d,table) # label(differ_d_table) # label(axiom). [assumption].
% 173.46/173.74 11 holds(empty,s0) # label(initial_state8) # label(axiom). [assumption].
% 173.46/173.74 12 holds(clear(a),s0) # label(initial_state5) # label(axiom). [assumption].
% 173.46/173.74 13 holds(clear(b),s0) # label(initial_state6) # label(axiom). [assumption].
% 173.46/173.74 14 holds(clear(c),s0) # label(initial_state7) # label(axiom). [assumption].
% 173.46/173.74 15 holds(clear(table),A) # label(clear_table) # label(axiom). [assumption].
% 173.46/173.74 18 holds(on(c,d),s0) # label(initial_state3) # label(axiom). [assumption].
% 173.46/173.74 20 -holds(and(on(a,b),on(d,c)),A) # label(prove_AB_DC) # label(negated_conjecture) # answer(prove_AB_DC). [assumption].
% 173.46/173.74 21 differ(A,B) | -differ(B,A) # label(symmetry_of_differ) # label(axiom). [assumption].
% 173.46/173.74 22 holds(and(A,B),C) | -holds(A,C) | -holds(B,C) # label(and_definition) # label(axiom). [assumption].
% 173.46/173.74 23 holds(clear(A),do(pickup(B),C)) | -holds(clear(A),C) | -differ(A,B) # label(pickup_4) # label(axiom). [assumption].
% 173.46/173.74 24 holds(on(A,B),do(putdown(C,D),E)) | -holds(on(A,B),E) # label(putdown_4) # label(axiom). [assumption].
% 173.46/173.74 25 holds(empty,do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_1) # label(axiom). [assumption].
% 173.46/173.74 26 holds(clear(A),do(putdown(B,C),D)) | -holds(clear(A),D) | -differ(A,C) # label(putdown_5) # label(axiom). [assumption].
% 173.46/173.74 27 holds(on(A,B),do(pickup(C),D)) | -holds(on(A,B),D) | -differ(A,C) # label(pickup_3) # label(axiom). [assumption].
% 173.46/173.74 28 holds(clear(A),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_3) # label(axiom). [assumption].
% 173.46/173.74 29 holds(holding(A),do(pickup(A),B)) | -holds(empty,B) | -holds(clear(A),B) | -differ(A,table) # label(pickup_1) # label(axiom). [assumption].
% 173.46/173.74 30 holds(on(A,B),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_2) # label(axiom). [assumption].
% 173.46/173.74 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].
% 173.46/173.74 37 differ(c,b). [ur(21,b,5,a)].
% 173.46/173.74 40 differ(c,a). [ur(21,b,2,a)].
% 173.46/173.74 41 differ(b,a). [ur(21,b,1,a)].
% 173.46/173.74 42 -holds(on(a,b),A) | -holds(on(d,c),A) # answer(prove_AB_DC). [resolve(22,a,20,a)].
% 173.46/173.74 158 holds(holding(a),do(pickup(a),s0)). [ur(29,b,11,a,c,12,a,d,4,a)].
% 173.46/173.74 162 -holds(on(d,c),do(putdown(A,B),C)) | -holds(on(a,b),C) # answer(prove_AB_DC). [resolve(42,a,24,a)].
% 173.46/173.74 168 -holds(on(d,c),do(putdown(A,B),do(pickup(C),D))) | -holds(on(a,b),D) | -differ(a,C) # answer(prove_AB_DC). [resolve(162,b,27,a)].
% 173.46/173.74 206 holds(on(c,d),do(pickup(a),s0)). [ur(27,b,18,a,c,40,a)].
% 173.46/173.74 208 holds(clear(c),do(pickup(a),s0)). [ur(23,b,14,a,c,40,a)].
% 173.46/173.74 211 holds(clear(b),do(pickup(a),s0)). [ur(23,b,13,a,c,41,a)].
% 173.46/173.74 3423 holds(clear(c),do(putdown(A,b),do(pickup(a),s0))). [ur(26,b,208,a,c,37,a)].
% 173.46/173.74 3552 holds(on(a,b),do(putdown(a,b),do(pickup(a),s0))). [ur(30,b,158,a,c,211,a)].
% 173.46/173.74 3558 holds(empty,do(putdown(a,b),do(pickup(a),s0))). [ur(25,b,158,a,c,211,a)].
% 173.46/173.74 5258 holds(on(c,d),do(putdown(A,B),do(pickup(a),s0))). [ur(24,b,206,a)].
% 173.46/173.74 5415 -holds(on(d,c),do(putdown(A,B),do(pickup(d),C))) | -holds(on(a,b),C) # answer(prove_AB_DC). [resolve(168,c,3,a)].
% 173.46/173.74 5422 -holds(on(a,b),A) | -holds(holding(d),do(pickup(d),A)) | -holds(clear(c),do(pickup(d),A)) # answer(prove_AB_DC). [resolve(5415,a,30,a)].
% 173.46/173.74 5839 -holds(on(a,b),A) | -holds(holding(d),do(pickup(d),A)) | -holds(clear(c),A) | -differ(c,d) # answer(prove_AB_DC). [resolve(5422,c,23,a)].
% 173.46/173.74 6107 -holds(on(a,b),A) | -holds(holding(d),do(pickup(d),A)) | -holds(clear(c),A) # answer(prove_AB_DC). [resolve(5839,d,8,a)].
% 173.46/173.74 6111 -holds(on(a,b),A) | -holds(clear(c),A) | -holds(empty,A) | -holds(clear(d),A) | -differ(d,table) # answer(prove_AB_DC). [resolve(6107,b,29,a)].
% 173.46/173.74 6527 -holds(on(a,b),A) | -holds(clear(c),A) | -holds(empty,A) | -holds(clear(d),A) # answer(prove_AB_DC). [resolve(6111,e,10,a)].
% 173.46/173.74 6548 -holds(on(a,b),do(putdown(c,A),B)) | -holds(empty,do(putdown(c,A),B)) | -holds(clear(d),do(putdown(c,A),B)) | -holds(holding(c),B) | -holds(clear(A),B) # answer(prove_AB_DC). [resolve(6527,b,28,a)].
% 173.46/173.74 15461 holds(clear(d),do(pickup(c),do(putdown(a,b),do(pickup(a),s0)))). [ur(31,b,5258,a,c,3423,a,d,3558,a)].
% 173.46/173.74 23410 -holds(on(a,b),do(putdown(c,A),B)) | -holds(clear(d),do(putdown(c,A),B)) | -holds(holding(c),B) | -holds(clear(A),B) # answer(prove_AB_DC). [resolve(6548,b,25,a),merge(e),merge(f)].
% 173.46/173.74 23568 -holds(clear(d),do(putdown(c,A),B)) | -holds(holding(c),B) | -holds(clear(A),B) | -holds(on(a,b),B) # answer(prove_AB_DC). [resolve(23410,a,24,a)].
% 173.46/173.74 23584 -holds(clear(d),do(putdown(c,table),A)) | -holds(holding(c),A) | -holds(on(a,b),A) # answer(prove_AB_DC). [resolve(23568,c,15,a)].
% 173.46/173.74 23585 -holds(holding(c),A) | -holds(on(a,b),A) | -holds(clear(d),A) | -differ(d,table) # answer(prove_AB_DC). [resolve(23584,a,26,a)].
% 173.46/173.74 23601 -holds(holding(c),A) | -holds(on(a,b),A) | -holds(clear(d),A) # answer(prove_AB_DC). [resolve(23585,d,10,a)].
% 173.46/173.74 23609 -holds(holding(c),do(pickup(A),B)) | -holds(clear(d),do(pickup(A),B)) | -holds(on(a,b),B) | -differ(a,A) # answer(prove_AB_DC). [resolve(23601,b,27,a)].
% 173.46/173.74 23706 -holds(holding(c),do(pickup(c),do(putdown(a,b),do(pickup(a),s0)))) # answer(prove_AB_DC). [ur(23609,b,15461,a,c,3552,a,d,2,a)].
% 173.46/173.74 23708 -holds(empty,do(putdown(a,b),do(pickup(a),s0))) # answer(prove_AB_DC). [ur(29,a,23706,a,c,3423,a,d,9,a)].
% 173.46/173.74 23709 $F # answer(prove_AB_DC). [resolve(23708,a,3558,a)].
% 173.46/173.74
% 173.46/173.74 % SZS output end Refutation
% 173.46/173.74 ============================== end of proof ==========================
% 173.46/173.74
% 173.46/173.74 ============================== STATISTICS ============================
% 173.46/173.74
% 173.46/173.74 Given=15821. Generated=55923850. Kept=23708. proofs=1.
% 173.46/173.74 Usable=15792. Sos=7788. Demods=0. Limbo=1, Disabled=157. Hints=0.
% 173.46/173.74 Megabytes=23.54.
% 173.46/173.74 User_CPU=145.32, System_CPU=27.42, Wall_clock=173.
% 173.46/173.74
% 173.46/173.74 ============================== end of statistics =====================
% 173.46/173.74
% 173.46/173.74 ============================== end of search =========================
% 173.46/173.74
% 173.46/173.74 THEOREM PROVED
% 173.46/173.74 % SZS status Unsatisfiable
% 173.46/173.74
% 173.46/173.74 Exiting with 1 proof.
% 173.46/173.74
% 173.46/173.74 Process 20355 exit (max_proofs) Tue May 31 20:13:02 2022
% 173.46/173.74 Prover9 interrupted
%------------------------------------------------------------------------------