TSTP Solution File: FLD060-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 02:24:28 EDT 2022
% Result : Unsatisfiable 9.70s 9.97s
% Output : Refutation 9.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 20:47:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 9.70/9.97 ============================== Prover9 ===============================
% 9.70/9.97 Prover9 (32) version 2009-11A, November 2009.
% 9.70/9.97 Process 5235 was started by sandbox2 on n025.cluster.edu,
% 9.70/9.97 Mon Jun 6 20:47:04 2022
% 9.70/9.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5082_n025.cluster.edu".
% 9.70/9.97 ============================== end of head ===========================
% 9.70/9.97
% 9.70/9.97 ============================== INPUT =================================
% 9.70/9.97
% 9.70/9.97 % Reading from file /tmp/Prover9_5082_n025.cluster.edu
% 9.70/9.97
% 9.70/9.97 set(prolog_style_variables).
% 9.70/9.97 set(auto2).
% 9.70/9.97 % set(auto2) -> set(auto).
% 9.70/9.97 % set(auto) -> set(auto_inference).
% 9.70/9.97 % set(auto) -> set(auto_setup).
% 9.70/9.97 % set(auto_setup) -> set(predicate_elim).
% 9.70/9.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 9.70/9.97 % set(auto) -> set(auto_limits).
% 9.70/9.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 9.70/9.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 9.70/9.97 % set(auto) -> set(auto_denials).
% 9.70/9.97 % set(auto) -> set(auto_process).
% 9.70/9.97 % set(auto2) -> assign(new_constants, 1).
% 9.70/9.97 % set(auto2) -> assign(fold_denial_max, 3).
% 9.70/9.97 % set(auto2) -> assign(max_weight, "200.000").
% 9.70/9.97 % set(auto2) -> assign(max_hours, 1).
% 9.70/9.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 9.70/9.97 % set(auto2) -> assign(max_seconds, 0).
% 9.70/9.97 % set(auto2) -> assign(max_minutes, 5).
% 9.70/9.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 9.70/9.97 % set(auto2) -> set(sort_initial_sos).
% 9.70/9.97 % set(auto2) -> assign(sos_limit, -1).
% 9.70/9.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 9.70/9.97 % set(auto2) -> assign(max_megs, 400).
% 9.70/9.97 % set(auto2) -> assign(stats, some).
% 9.70/9.97 % set(auto2) -> clear(echo_input).
% 9.70/9.97 % set(auto2) -> set(quiet).
% 9.70/9.97 % set(auto2) -> clear(print_initial_clauses).
% 9.70/9.97 % set(auto2) -> clear(print_given).
% 9.70/9.97 assign(lrs_ticks,-1).
% 9.70/9.97 assign(sos_limit,10000).
% 9.70/9.97 assign(order,kbo).
% 9.70/9.97 set(lex_order_vars).
% 9.70/9.97 clear(print_given).
% 9.70/9.97
% 9.70/9.97 % formulas(sos). % not echoed (34 formulas)
% 9.70/9.97
% 9.70/9.97 ============================== end of input ==========================
% 9.70/9.97
% 9.70/9.97 % From the command line: assign(max_seconds, 300).
% 9.70/9.97
% 9.70/9.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 9.70/9.97
% 9.70/9.97 % Formulas that are not ordinary clauses:
% 9.70/9.97
% 9.70/9.97 ============================== end of process non-clausal formulas ===
% 9.70/9.97
% 9.70/9.97 ============================== PROCESS INITIAL CLAUSES ===============
% 9.70/9.97
% 9.70/9.97 ============================== PREDICATE ELIMINATION =================
% 9.70/9.97
% 9.70/9.97 ============================== end predicate elimination =============
% 9.70/9.97
% 9.70/9.97 Auto_denials: (non-Horn, no changes).
% 9.70/9.97
% 9.70/9.97 Term ordering decisions:
% 9.70/9.97 Function symbol KB weights: additive_identity=1. a=1. b=1. multiplicative_identity=1. u=1. v=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 9.70/9.97
% 9.70/9.97 ============================== end of process initial clauses ========
% 9.70/9.97
% 9.70/9.97 ============================== CLAUSES FOR SEARCH ====================
% 9.70/9.97
% 9.70/9.97 ============================== end of clauses for search =============
% 9.70/9.97
% 9.70/9.97 ============================== SEARCH ================================
% 9.70/9.97
% 9.70/9.97 % Starting search at 0.01 seconds.
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=14.000, iters=3495
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=12.000, iters=3397
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=11.000, iters=3431
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=10.000, iters=3391
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=9.000, iters=3445
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=8.000, iters=3522
% 9.70/9.97
% 9.70/9.97 Low Water (keep): wt=7.000, iters=3354
% 9.70/9.97
% 9.70/9.97 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 252 (0.00 of 0.30 sec).
% 9.70/9.97
% 9.70/9.97 ============================== PROOF =================================
% 9.70/9.97 % SZS status Unsatisfiable
% 9.70/9.97 % SZS output start Refutation
% 9.70/9.97
% 9.70/9.97 % Proof 1 at 8.69 (+ 0.30) seconds.
% 9.70/9.97 % Length of proof is 18.
% 9.70/9.97 % Level of proof is 5.
% 9.70/9.97 % Maximum clause weight is 14.000.
% 9.70/9.97 % Given clauses 5476.
% 9.70/9.97
% 9.70/9.97 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 9.70/9.97 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 9.70/9.97 7 less_or_equal(a,b) # label(less_or_equal_5) # label(negated_conjecture). [assumption].
% 9.70/9.97 8 sum(a,a,u) # label(sum_6) # label(negated_conjecture). [assumption].
% 9.70/9.97 9 sum(b,b,v) # label(sum_7) # label(negated_conjecture). [assumption].
% 9.70/9.97 10 -less_or_equal(u,v) # label(not_less_or_equal_8) # label(negated_conjecture). [assumption].
% 9.70/9.97 16 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 9.70/9.97 21 less_or_equal(A,B) | -less_or_equal(A,C) | -less_or_equal(C,B) # label(transitivity_of_order_relation) # label(axiom). [assumption].
% 9.70/9.97 22 sum(A,B,add(A,B)) | -defined(A) | -defined(B) # label(totality_of_addition) # label(axiom). [assumption].
% 9.70/9.97 28 less_or_equal(A,B) | -less_or_equal(C,D) | -sum(C,E,A) | -sum(D,E,B) # label(compatibility_of_order_relation_and_addition) # label(axiom). [assumption].
% 9.70/9.97 115 sum(b,A,add(b,A)) | -defined(A). [resolve(22,b,4,a)].
% 9.70/9.97 157 less_or_equal(u,A) | -less_or_equal(a,B) | -sum(B,a,A). [resolve(28,c,8,a)].
% 9.70/9.97 158 less_or_equal(A,v) | -less_or_equal(B,b) | -sum(B,b,A). [resolve(28,d,9,a)].
% 9.70/9.97 5520 sum(b,a,add(b,a)). [resolve(115,b,3,a)].
% 9.70/9.97 12199 less_or_equal(u,add(b,a)). [resolve(5520,a,157,c),unit_del(b,7)].
% 9.70/9.97 12200 sum(a,b,add(b,a)). [resolve(5520,a,16,b)].
% 9.70/9.97 12231 -less_or_equal(add(b,a),v). [ur(21,a,10,a,b,12199,a)].
% 9.70/9.97 12334 $F. [ur(158,a,12231,a,b,7,a),unit_del(a,12200)].
% 9.70/9.97
% 9.70/9.97 % SZS output end Refutation
% 9.70/9.97 ============================== end of proof ==========================
% 9.70/9.97
% 9.70/9.97 ============================== STATISTICS ============================
% 9.70/9.97
% 9.70/9.97 Given=5476. Generated=575465. Kept=12333. proofs=1.
% 9.70/9.97 Usable=5467. Sos=6828. Demods=0. Limbo=3, Disabled=69. Hints=0.
% 9.70/9.97 Megabytes=6.25.
% 9.70/9.97 User_CPU=8.69, System_CPU=0.30, Wall_clock=9.
% 9.70/9.97
% 9.70/9.97 ============================== end of statistics =====================
% 9.70/9.97
% 9.70/9.97 ============================== end of search =========================
% 9.70/9.97
% 9.70/9.97 THEOREM PROVED
% 9.70/9.97 % SZS status Unsatisfiable
% 9.70/9.97
% 9.70/9.97 Exiting with 1 proof.
% 9.70/9.97
% 9.70/9.97 Process 5235 exit (max_proofs) Mon Jun 6 20:47:13 2022
% 9.70/9.97 Prover9 interrupted
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