TSTP Solution File: ANA003-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ANA003-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 : Thu Jul 14 19:21:17 EDT 2022
% Result : Unsatisfiable 22.45s 22.75s
% Output : Refutation 22.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ANA003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n006.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 03:25:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 22.45/22.75 ============================== Prover9 ===============================
% 22.45/22.75 Prover9 (32) version 2009-11A, November 2009.
% 22.45/22.75 Process 23393 was started by sandbox on n006.cluster.edu,
% 22.45/22.75 Fri Jul 8 03:25:07 2022
% 22.45/22.75 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23240_n006.cluster.edu".
% 22.45/22.75 ============================== end of head ===========================
% 22.45/22.75
% 22.45/22.75 ============================== INPUT =================================
% 22.45/22.75
% 22.45/22.75 % Reading from file /tmp/Prover9_23240_n006.cluster.edu
% 22.45/22.75
% 22.45/22.75 set(prolog_style_variables).
% 22.45/22.75 set(auto2).
% 22.45/22.75 % set(auto2) -> set(auto).
% 22.45/22.75 % set(auto) -> set(auto_inference).
% 22.45/22.75 % set(auto) -> set(auto_setup).
% 22.45/22.75 % set(auto_setup) -> set(predicate_elim).
% 22.45/22.75 % set(auto_setup) -> assign(eq_defs, unfold).
% 22.45/22.75 % set(auto) -> set(auto_limits).
% 22.45/22.75 % set(auto_limits) -> assign(max_weight, "100.000").
% 22.45/22.75 % set(auto_limits) -> assign(sos_limit, 20000).
% 22.45/22.75 % set(auto) -> set(auto_denials).
% 22.45/22.75 % set(auto) -> set(auto_process).
% 22.45/22.75 % set(auto2) -> assign(new_constants, 1).
% 22.45/22.75 % set(auto2) -> assign(fold_denial_max, 3).
% 22.45/22.75 % set(auto2) -> assign(max_weight, "200.000").
% 22.45/22.75 % set(auto2) -> assign(max_hours, 1).
% 22.45/22.75 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 22.45/22.75 % set(auto2) -> assign(max_seconds, 0).
% 22.45/22.75 % set(auto2) -> assign(max_minutes, 5).
% 22.45/22.75 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 22.45/22.75 % set(auto2) -> set(sort_initial_sos).
% 22.45/22.75 % set(auto2) -> assign(sos_limit, -1).
% 22.45/22.75 % set(auto2) -> assign(lrs_ticks, 3000).
% 22.45/22.75 % set(auto2) -> assign(max_megs, 400).
% 22.45/22.75 % set(auto2) -> assign(stats, some).
% 22.45/22.75 % set(auto2) -> clear(echo_input).
% 22.45/22.75 % set(auto2) -> set(quiet).
% 22.45/22.75 % set(auto2) -> clear(print_initial_clauses).
% 22.45/22.75 % set(auto2) -> clear(print_given).
% 22.45/22.75 assign(lrs_ticks,-1).
% 22.45/22.75 assign(sos_limit,10000).
% 22.45/22.75 assign(order,kbo).
% 22.45/22.75 set(lex_order_vars).
% 22.45/22.75 clear(print_given).
% 22.45/22.75
% 22.45/22.75 % formulas(sos). % not echoed (12 formulas)
% 22.45/22.75
% 22.45/22.75 ============================== end of input ==========================
% 22.45/22.75
% 22.45/22.75 % From the command line: assign(max_seconds, 300).
% 22.45/22.75
% 22.45/22.75 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 22.45/22.75
% 22.45/22.75 % Formulas that are not ordinary clauses:
% 22.45/22.75
% 22.45/22.75 ============================== end of process non-clausal formulas ===
% 22.45/22.75
% 22.45/22.75 ============================== PROCESS INITIAL CLAUSES ===============
% 22.45/22.75
% 22.45/22.75 ============================== PREDICATE ELIMINATION =================
% 22.45/22.75
% 22.45/22.75 ============================== end predicate elimination =============
% 22.45/22.75
% 22.45/22.75 Auto_denials: (non-Horn, no changes).
% 22.45/22.75
% 22.45/22.75 Term ordering decisions:
% 22.45/22.75 Function symbol KB weights: n0=1. a_real_number=1. epsilon_0=1. add=1. minimum=1. absolute=1. negate=1. f=1. g=1. half=1. xs=1. delta_1=1. delta_2=1.
% 22.45/22.75
% 22.45/22.75 ============================== end of process initial clauses ========
% 22.45/22.75
% 22.45/22.75 ============================== CLAUSES FOR SEARCH ====================
% 22.45/22.75
% 22.45/22.75 ============================== end of clauses for search =============
% 22.45/22.75
% 22.45/22.75 ============================== SEARCH ================================
% 22.45/22.75
% 22.45/22.75 % Starting search at 0.01 seconds.
% 22.45/22.75
% 22.45/22.75 Low Water (keep): wt=25.000, iters=3341
% 22.45/22.75
% 22.45/22.75 Low Water (keep): wt=12.000, iters=3353
% 22.45/22.75
% 22.45/22.75 Low Water (keep): wt=11.000, iters=3335
% 22.45/22.75
% 22.45/22.75 Low Water (keep): wt=10.000, iters=3337
% 22.45/22.75
% 22.45/22.75 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 246 (0.00 of 0.85 sec).
% 22.45/22.75
% 22.45/22.75 Low Water (displace): id=3431, wt=27.000
% 22.45/22.75
% 22.45/22.75 ============================== PROOF =================================
% 22.45/22.75 % SZS status Unsatisfiable
% 22.45/22.75 % SZS output start Refutation
% 22.45/22.75
% 22.45/22.75 % Proof 1 at 19.08 (+ 2.71) seconds.
% 22.45/22.75 % Length of proof is 24.
% 22.45/22.75 % Level of proof is 6.
% 22.45/22.75 % Maximum clause weight is 45.000.
% 22.45/22.75 % Given clauses 4808.
% 22.45/22.75
% 22.45/22.75 1 less_or_equal(A,n0) | less_or_equal(absolute(add(xs(A),negate(a_real_number))),A) # label(clause_6) # label(hypothesis). [assumption].
% 22.45/22.75 2 -less_or_equal(epsilon_0,n0) # label(clause_5) # label(hypothesis). [assumption].
% 22.45/22.75 3 less_or_equal(A,n0) | -less_or_equal(half(A),n0) # label(zero_and_half) # label(axiom). [assumption].
% 22.45/22.75 4 less_or_equal(A,n0) | -less_or_equal(delta_1(A),n0) # label(clause_1) # label(hypothesis). [assumption].
% 22.45/22.75 5 less_or_equal(A,n0) | -less_or_equal(delta_2(A),n0) # label(clause_2) # label(hypothesis). [assumption].
% 22.45/22.75 6 -less_or_equal(A,minimum(B,C)) | less_or_equal(A,B) # label(minimum3) # label(axiom). [assumption].
% 22.45/22.75 7 -less_or_equal(A,minimum(B,C)) | less_or_equal(A,C) # label(minimum7) # label(axiom). [assumption].
% 22.45/22.75 8 less_or_equal(A,n0) | less_or_equal(B,n0) | -less_or_equal(minimum(A,B),n0) # label(minimum9) # label(axiom). [assumption].
% 22.45/22.75 9 -less_or_equal(A,half(B)) | -less_or_equal(C,half(B)) | less_or_equal(add(A,C),B) # label(less_or_equal_sum_of_halves) # label(axiom). [assumption].
% 22.45/22.75 10 less_or_equal(A,n0) | -less_or_equal(absolute(add(B,negate(a_real_number))),delta_1(A)) | less_or_equal(absolute(add(f(B),negate(f(a_real_number)))),A) # label(clause_3) # label(hypothesis). [assumption].
% 22.45/22.75 11 less_or_equal(A,n0) | -less_or_equal(absolute(add(B,negate(a_real_number))),delta_2(A)) | less_or_equal(absolute(add(g(B),negate(g(a_real_number)))),A) # label(clause_4) # label(hypothesis). [assumption].
% 22.45/22.75 12 less_or_equal(A,n0) | -less_or_equal(add(absolute(add(f(xs(A)),negate(f(a_real_number)))),absolute(add(g(xs(A)),negate(g(a_real_number))))),epsilon_0) # label(clause_7_2) # label(negated_conjecture). [assumption].
% 22.45/22.76 15 -less_or_equal(half(epsilon_0),n0). [ur(3,a,2,a)].
% 22.45/22.76 18 less_or_equal(absolute(add(xs(minimum(A,B)),negate(a_real_number))),A) | less_or_equal(minimum(A,B),n0). [resolve(6,a,1,b)].
% 22.45/22.76 20 less_or_equal(absolute(add(xs(minimum(A,B)),negate(a_real_number))),B) | less_or_equal(minimum(A,B),n0). [resolve(7,a,1,b)].
% 22.45/22.76 35 -less_or_equal(delta_2(half(epsilon_0)),n0). [ur(5,a,15,a)].
% 22.45/22.76 36 -less_or_equal(delta_1(half(epsilon_0)),n0). [ur(4,a,15,a)].
% 22.45/22.76 67 less_or_equal(minimum(delta_2(A),B),n0) | less_or_equal(A,n0) | less_or_equal(absolute(add(g(xs(minimum(delta_2(A),B))),negate(g(a_real_number)))),A). [resolve(18,a,11,b)].
% 22.45/22.76 75 less_or_equal(minimum(A,delta_1(B)),n0) | less_or_equal(B,n0) | less_or_equal(absolute(add(f(xs(minimum(A,delta_1(B)))),negate(f(a_real_number)))),B). [resolve(20,a,10,b)].
% 22.45/22.76 124 -less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0). [ur(8,a,35,a,b,36,a)].
% 22.45/22.76 353 less_or_equal(minimum(delta_2(half(A)),B),n0) | less_or_equal(half(A),n0) | -less_or_equal(C,half(A)) | less_or_equal(add(C,absolute(add(g(xs(minimum(delta_2(half(A)),B))),negate(g(a_real_number))))),A). [resolve(67,c,9,b)].
% 22.45/22.76 7020 less_or_equal(minimum(delta_2(half(A)),B),n0) | less_or_equal(half(A),n0) | less_or_equal(add(absolute(add(f(xs(minimum(C,delta_1(half(A))))),negate(f(a_real_number)))),absolute(add(g(xs(minimum(delta_2(half(A)),B))),negate(g(a_real_number))))),A) | less_or_equal(minimum(C,delta_1(half(A))),n0). [resolve(353,c,75,c),merge(e)].
% 22.45/22.76 7058 less_or_equal(minimum(delta_2(half(A)),delta_1(half(A))),n0) | less_or_equal(half(A),n0) | less_or_equal(add(absolute(add(f(xs(minimum(delta_2(half(A)),delta_1(half(A))))),negate(f(a_real_number)))),absolute(add(g(xs(minimum(delta_2(half(A)),delta_1(half(A))))),negate(g(a_real_number))))),A). [factor(7020,a,d)].
% 22.45/22.76 15199 $F. [resolve(7058,c,12,b),merge(c),unit_del(a,124),unit_del(b,15)].
% 22.45/22.76
% 22.45/22.76 % SZS output end Refutation
% 22.45/22.76 ============================== end of proof ==========================
% 22.45/22.76
% 22.45/22.76 ============================== STATISTICS ============================
% 22.45/22.76
% 22.45/22.76 Given=4808. Generated=5715700. Kept=15198. proofs=1.
% 22.45/22.76 Usable=4808. Sos=8630. Demods=0. Limbo=0, Disabled=1772. Hints=0.
% 22.45/22.76 Megabytes=18.31.
% 22.45/22.76 User_CPU=19.08, System_CPU=2.71, Wall_clock=21.
% 22.45/22.76
% 22.45/22.76 ============================== end of statistics =====================
% 22.45/22.76
% 22.45/22.76 ============================== end of search =========================
% 22.45/22.76
% 22.45/22.76 THEOREM PROVED
% 22.45/22.76 % SZS status Unsatisfiable
% 22.45/22.76
% 22.45/22.76 Exiting with 1 proof.
% 22.45/22.76
% 22.45/22.76 Process 23393 exit (max_proofs) Fri Jul 8 03:25:28 2022
% 22.45/22.76 Prover9 interrupted
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