TSTP Solution File: FLD070-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD070-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 02:24:32 EDT 2022
% Result : Unsatisfiable 1.22s 1.52s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD070-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n026.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 : Mon Jun 6 17:07:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.22/1.52 ============================== Prover9 ===============================
% 1.22/1.52 Prover9 (32) version 2009-11A, November 2009.
% 1.22/1.52 Process 17529 was started by sandbox2 on n026.cluster.edu,
% 1.22/1.52 Mon Jun 6 17:07:16 2022
% 1.22/1.52 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17376_n026.cluster.edu".
% 1.22/1.52 ============================== end of head ===========================
% 1.22/1.52
% 1.22/1.52 ============================== INPUT =================================
% 1.22/1.52
% 1.22/1.52 % Reading from file /tmp/Prover9_17376_n026.cluster.edu
% 1.22/1.52
% 1.22/1.52 set(prolog_style_variables).
% 1.22/1.52 set(auto2).
% 1.22/1.52 % set(auto2) -> set(auto).
% 1.22/1.52 % set(auto) -> set(auto_inference).
% 1.22/1.52 % set(auto) -> set(auto_setup).
% 1.22/1.52 % set(auto_setup) -> set(predicate_elim).
% 1.22/1.52 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.22/1.52 % set(auto) -> set(auto_limits).
% 1.22/1.52 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.22/1.52 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.22/1.52 % set(auto) -> set(auto_denials).
% 1.22/1.52 % set(auto) -> set(auto_process).
% 1.22/1.52 % set(auto2) -> assign(new_constants, 1).
% 1.22/1.52 % set(auto2) -> assign(fold_denial_max, 3).
% 1.22/1.52 % set(auto2) -> assign(max_weight, "200.000").
% 1.22/1.52 % set(auto2) -> assign(max_hours, 1).
% 1.22/1.52 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.22/1.52 % set(auto2) -> assign(max_seconds, 0).
% 1.22/1.52 % set(auto2) -> assign(max_minutes, 5).
% 1.22/1.52 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.22/1.52 % set(auto2) -> set(sort_initial_sos).
% 1.22/1.52 % set(auto2) -> assign(sos_limit, -1).
% 1.22/1.52 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.22/1.52 % set(auto2) -> assign(max_megs, 400).
% 1.22/1.52 % set(auto2) -> assign(stats, some).
% 1.22/1.52 % set(auto2) -> clear(echo_input).
% 1.22/1.52 % set(auto2) -> set(quiet).
% 1.22/1.52 % set(auto2) -> clear(print_initial_clauses).
% 1.22/1.52 % set(auto2) -> clear(print_given).
% 1.22/1.52 assign(lrs_ticks,-1).
% 1.22/1.52 assign(sos_limit,10000).
% 1.22/1.52 assign(order,kbo).
% 1.22/1.52 set(lex_order_vars).
% 1.22/1.52 clear(print_given).
% 1.22/1.52
% 1.22/1.52 % formulas(sos). % not echoed (34 formulas)
% 1.22/1.52
% 1.22/1.52 ============================== end of input ==========================
% 1.22/1.52
% 1.22/1.52 % From the command line: assign(max_seconds, 300).
% 1.22/1.52
% 1.22/1.52 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.22/1.52
% 1.22/1.52 % Formulas that are not ordinary clauses:
% 1.22/1.52
% 1.22/1.52 ============================== end of process non-clausal formulas ===
% 1.22/1.52
% 1.22/1.52 ============================== PROCESS INITIAL CLAUSES ===============
% 1.22/1.52
% 1.22/1.52 ============================== PREDICATE ELIMINATION =================
% 1.22/1.52
% 1.22/1.52 ============================== end predicate elimination =============
% 1.22/1.52
% 1.22/1.52 Auto_denials: (non-Horn, no changes).
% 1.22/1.52
% 1.22/1.52 Term ordering decisions:
% 1.22/1.52 Function symbol KB weights: additive_identity=1. a=1. b=1. multiplicative_identity=1. c=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 1.22/1.52
% 1.22/1.52 ============================== end of process initial clauses ========
% 1.22/1.52
% 1.22/1.52 ============================== CLAUSES FOR SEARCH ====================
% 1.22/1.52
% 1.22/1.52 ============================== end of clauses for search =============
% 1.22/1.52
% 1.22/1.52 ============================== SEARCH ================================
% 1.22/1.52
% 1.22/1.52 % Starting search at 0.01 seconds.
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=34.000, iters=3656
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=29.000, iters=3636
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=24.000, iters=3443
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=23.000, iters=3436
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=21.000, iters=3406
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=19.000, iters=3333
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=17.000, iters=3340
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=15.000, iters=3354
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=13.000, iters=3369
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=12.000, iters=3337
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=11.000, iters=3434
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=10.000, iters=3466
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=9.000, iters=3342
% 1.22/1.52
% 1.22/1.52 Low Water (keep): wt=7.000, iters=3336
% 1.22/1.52
% 1.22/1.52 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 7084 (0.00 of 0.32 sec).
% 1.22/1.52
% 1.22/1.52 ============================== PROOF =================================
% 1.22/1.52 % SZS status Unsatisfiable
% 1.22/1.52 % SZS output start Refutation
% 1.22/1.52
% 1.22/1.52 % Proof 1 at 0.50 (+ 0.03) seconds.
% 1.22/1.52 % Length of proof is 23.
% 1.22/1.52 % Level of proof is 5.
% 1.22/1.52 % Maximum clause weight is 12.000.
% 1.22/1.52 % Given clauses 810.
% 1.22/1.52
% 1.22/1.52 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 1.22/1.52 5 defined(c) # label(c_is_defined) # label(hypothesis). [assumption].
% 1.22/1.52 6 less_or_equal(additive_identity,a) # label(less_or_equal_5) # label(negated_conjecture). [assumption].
% 1.22/1.52 7 less_or_equal(additive_identity,b) # label(less_or_equal_6) # label(negated_conjecture). [assumption].
% 1.22/1.52 8 equalish(add(a,b),c) # label(add_equals_c_4) # label(negated_conjecture). [assumption].
% 1.22/1.52 10 -less_or_equal(additive_identity,c) # label(not_less_or_equal_7) # label(negated_conjecture). [assumption].
% 1.22/1.52 13 equalish(A,B) | -equalish(B,A) # label(symmetry_of_equality) # label(axiom). [assumption].
% 1.22/1.52 14 equalish(add(additive_identity,A),A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 1.22/1.52 21 less_or_equal(A,B) | -less_or_equal(A,C) | -less_or_equal(C,B) # label(transitivity_of_order_relation) # label(axiom). [assumption].
% 1.22/1.52 23 less_or_equal(A,B) | -less_or_equal(C,B) | -equalish(C,A) # label(compatibility_of_equality_and_order_relation) # label(axiom). [assumption].
% 1.22/1.52 24 less_or_equal(A,B) | less_or_equal(B,A) | -defined(A) | -defined(B) # label(totality_of_order_relation) # label(axiom). [assumption].
% 1.22/1.52 29 less_or_equal(add(A,B),add(C,B)) | -defined(B) | -less_or_equal(A,C) # label(compatibility_of_order_relation_and_addition) # label(axiom). [assumption].
% 1.22/1.52 64 equalish(c,add(a,b)). [resolve(13,b,8,a)].
% 1.22/1.52 67 equalish(add(additive_identity,b),b). [resolve(14,b,4,a)].
% 1.22/1.52 113 -less_or_equal(b,c). [ur(21,a,10,a,b,7,a)].
% 1.22/1.52 119 less_or_equal(c,A) | less_or_equal(A,c) | -defined(A). [resolve(24,c,5,a)].
% 1.22/1.52 124 less_or_equal(c,c). [factor(119,a,b),unit_del(b,5)].
% 1.22/1.52 158 less_or_equal(add(additive_identity,A),add(a,A)) | -defined(A). [resolve(29,c,6,a)].
% 1.22/1.52 654 less_or_equal(A,c) | -equalish(c,A). [resolve(124,a,23,b)].
% 1.22/1.52 790 -less_or_equal(add(additive_identity,b),c). [ur(23,a,113,a,c,67,a)].
% 1.22/1.52 9262 less_or_equal(add(additive_identity,b),add(a,b)). [resolve(158,b,4,a)].
% 1.22/1.52 10101 less_or_equal(add(a,b),c). [resolve(654,b,64,a)].
% 1.22/1.52 10167 $F. [ur(21,a,790,a,c,10101,a),unit_del(a,9262)].
% 1.22/1.52
% 1.22/1.52 % SZS output end Refutation
% 1.22/1.52 ============================== end of proof ==========================
% 1.22/1.52
% 1.22/1.52 ============================== STATISTICS ============================
% 1.22/1.52
% 1.22/1.52 Given=810. Generated=41803. Kept=10166. proofs=1.
% 1.22/1.52 Usable=810. Sos=9327. Demods=0. Limbo=19, Disabled=44. Hints=0.
% 1.22/1.52 Megabytes=6.13.
% 1.22/1.52 User_CPU=0.50, System_CPU=0.03, Wall_clock=1.
% 1.22/1.52
% 1.22/1.52 ============================== end of statistics =====================
% 1.22/1.52
% 1.22/1.52 ============================== end of search =========================
% 1.22/1.52
% 1.22/1.52 THEOREM PROVED
% 1.22/1.52 % SZS status Unsatisfiable
% 1.22/1.52
% 1.22/1.52 Exiting with 1 proof.
% 1.22/1.52
% 1.22/1.52 Process 17529 exit (max_proofs) Mon Jun 6 17:07:17 2022
% 1.22/1.53 Prover9 interrupted
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