TSTP Solution File: FLD067-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD067-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 02:24:30 EDT 2022
% Result : Unsatisfiable 4.53s 4.79s
% Output : Refutation 4.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD067-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n027.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 21:36:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.53/4.79 ============================== Prover9 ===============================
% 4.53/4.79 Prover9 (32) version 2009-11A, November 2009.
% 4.53/4.79 Process 10932 was started by sandbox2 on n027.cluster.edu,
% 4.53/4.79 Mon Jun 6 21:36:10 2022
% 4.53/4.79 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_10779_n027.cluster.edu".
% 4.53/4.79 ============================== end of head ===========================
% 4.53/4.79
% 4.53/4.79 ============================== INPUT =================================
% 4.53/4.79
% 4.53/4.79 % Reading from file /tmp/Prover9_10779_n027.cluster.edu
% 4.53/4.79
% 4.53/4.79 set(prolog_style_variables).
% 4.53/4.79 set(auto2).
% 4.53/4.79 % set(auto2) -> set(auto).
% 4.53/4.79 % set(auto) -> set(auto_inference).
% 4.53/4.79 % set(auto) -> set(auto_setup).
% 4.53/4.79 % set(auto_setup) -> set(predicate_elim).
% 4.53/4.79 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.53/4.79 % set(auto) -> set(auto_limits).
% 4.53/4.79 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.53/4.79 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.53/4.79 % set(auto) -> set(auto_denials).
% 4.53/4.79 % set(auto) -> set(auto_process).
% 4.53/4.79 % set(auto2) -> assign(new_constants, 1).
% 4.53/4.79 % set(auto2) -> assign(fold_denial_max, 3).
% 4.53/4.79 % set(auto2) -> assign(max_weight, "200.000").
% 4.53/4.79 % set(auto2) -> assign(max_hours, 1).
% 4.53/4.79 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.53/4.79 % set(auto2) -> assign(max_seconds, 0).
% 4.53/4.79 % set(auto2) -> assign(max_minutes, 5).
% 4.53/4.79 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.53/4.79 % set(auto2) -> set(sort_initial_sos).
% 4.53/4.79 % set(auto2) -> assign(sos_limit, -1).
% 4.53/4.79 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.53/4.79 % set(auto2) -> assign(max_megs, 400).
% 4.53/4.79 % set(auto2) -> assign(stats, some).
% 4.53/4.79 % set(auto2) -> clear(echo_input).
% 4.53/4.79 % set(auto2) -> set(quiet).
% 4.53/4.79 % set(auto2) -> clear(print_initial_clauses).
% 4.53/4.79 % set(auto2) -> clear(print_given).
% 4.53/4.79 assign(lrs_ticks,-1).
% 4.53/4.79 assign(sos_limit,10000).
% 4.53/4.79 assign(order,kbo).
% 4.53/4.79 set(lex_order_vars).
% 4.53/4.79 clear(print_given).
% 4.53/4.79
% 4.53/4.79 % formulas(sos). % not echoed (33 formulas)
% 4.53/4.79
% 4.53/4.79 ============================== end of input ==========================
% 4.53/4.79
% 4.53/4.79 % From the command line: assign(max_seconds, 300).
% 4.53/4.79
% 4.53/4.79 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.53/4.79
% 4.53/4.79 % Formulas that are not ordinary clauses:
% 4.53/4.79
% 4.53/4.79 ============================== end of process non-clausal formulas ===
% 4.53/4.79
% 4.53/4.79 ============================== PROCESS INITIAL CLAUSES ===============
% 4.53/4.79
% 4.53/4.79 ============================== PREDICATE ELIMINATION =================
% 4.53/4.79
% 4.53/4.79 ============================== end predicate elimination =============
% 4.53/4.79
% 4.53/4.79 Auto_denials: (non-Horn, no changes).
% 4.53/4.79
% 4.53/4.79 Term ordering decisions:
% 4.53/4.79 Function symbol KB weights: additive_identity=1. a=1. b=1. multiplicative_identity=1. u=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 4.53/4.79
% 4.53/4.79 ============================== end of process initial clauses ========
% 4.53/4.79
% 4.53/4.79 ============================== CLAUSES FOR SEARCH ====================
% 4.53/4.79
% 4.53/4.79 ============================== end of clauses for search =============
% 4.53/4.79
% 4.53/4.79 ============================== SEARCH ================================
% 4.53/4.79
% 4.53/4.79 % Starting search at 0.01 seconds.
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=34.000, iters=3688
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=29.000, iters=3665
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=24.000, iters=3461
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=23.000, iters=3453
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=21.000, iters=3425
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=19.000, iters=3342
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=17.000, iters=3423
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=15.000, iters=3451
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=14.000, iters=3361
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=12.000, iters=3362
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=11.000, iters=3450
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=10.000, iters=3352
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=9.000, iters=3339
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=8.000, iters=3604
% 4.53/4.79
% 4.53/4.79 Low Water (keep): wt=7.000, iters=4691
% 4.53/4.79
% 4.53/4.79 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 9758 (0.00 of 0.38 sec).
% 4.53/4.79
% 4.53/4.79 Low Water (displace): id=3513, wt=34.000
% 4.53/4.79
% 4.53/4.79 Low Water (displace): id=3519, wt=30.000
% 4.53/4.79
% 4.53/4.79 Low Water (displace): id=3515, wt=29.000
% 4.53/4.79
% 4.53/4.79 Low Water (displace): id=3521, wt=27.000
% 4.53/4.79
% 4.53/4.79 Low Water (displace): id=10643, wt=7.000
% 4.53/4.79
% 4.53/4.79 ============================== PROOF =================================
% 4.53/4.79 % SZS status Unsatisfiable
% 4.53/4.79 % SZS output start Refutation
% 4.53/4.79
% 4.53/4.79 % Proof 1 at 3.39 (+ 0.41) seconds.
% 4.53/4.79 % Length of proof is 23.
% 4.53/4.79 % Level of proof is 6.
% 4.53/4.79 % Maximum clause weight is 12.000.
% 4.53/4.79 % Given clauses 2493.
% 4.53/4.79
% 4.53/4.79 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 4.53/4.79 5 defined(u) # label(u_is_defined) # label(hypothesis). [assumption].
% 4.53/4.79 6 less_or_equal(a,b) # label(less_or_equal_4) # label(negated_conjecture). [assumption].
% 4.53/4.79 7 equalish(add(b,additive_inverse(a)),u) # label(add_equals_u_5) # label(negated_conjecture). [assumption].
% 4.53/4.79 9 -less_or_equal(additive_identity,u) # label(not_less_or_equal_6) # label(negated_conjecture). [assumption].
% 4.53/4.79 10 defined(additive_inverse(A)) | -defined(A) # label(well_definedness_of_additive_inverse) # label(axiom). [assumption].
% 4.53/4.79 12 equalish(A,B) | -equalish(B,A) # label(symmetry_of_equality) # label(axiom). [assumption].
% 4.53/4.79 15 equalish(add(A,additive_inverse(A)),additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 4.53/4.79 20 less_or_equal(A,B) | -less_or_equal(A,C) | -less_or_equal(C,B) # label(transitivity_of_order_relation) # label(axiom). [assumption].
% 4.53/4.79 22 less_or_equal(A,B) | -less_or_equal(C,B) | -equalish(C,A) # label(compatibility_of_equality_and_order_relation) # label(axiom). [assumption].
% 4.53/4.79 23 less_or_equal(A,B) | less_or_equal(B,A) | -defined(A) | -defined(B) # label(totality_of_order_relation) # label(axiom). [assumption].
% 4.53/4.79 28 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].
% 4.53/4.79 55 defined(additive_inverse(a)). [resolve(10,b,3,a)].
% 4.53/4.79 63 equalish(u,add(b,additive_inverse(a))). [resolve(12,b,7,a)].
% 4.53/4.79 77 equalish(add(a,additive_inverse(a)),additive_identity). [resolve(15,b,3,a)].
% 4.53/4.79 111 less_or_equal(u,A) | less_or_equal(A,u) | -defined(A). [resolve(23,c,5,a)].
% 4.53/4.79 116 less_or_equal(u,u). [factor(111,a,b),unit_del(b,5)].
% 4.53/4.79 145 less_or_equal(add(a,A),add(b,A)) | -defined(A). [resolve(28,c,6,a)].
% 4.53/4.79 639 less_or_equal(A,u) | -equalish(u,A). [resolve(116,a,22,b)].
% 4.53/4.79 1700 -less_or_equal(add(a,additive_inverse(a)),u). [ur(22,a,9,a,c,77,a)].
% 4.53/4.79 11052 less_or_equal(add(b,additive_inverse(a)),u). [resolve(639,b,63,a)].
% 4.53/4.79 13047 -less_or_equal(add(a,additive_inverse(a)),add(b,additive_inverse(a))). [ur(20,a,1700,a,c,11052,a)].
% 4.53/4.79 13056 $F. [ur(145,a,13047,a),unit_del(a,55)].
% 4.53/4.79
% 4.53/4.79 % SZS output end Refutation
% 4.53/4.79 ============================== end of proof ==========================
% 4.53/4.79
% 4.53/4.79 ============================== STATISTICS ============================
% 4.53/4.79
% 4.53/4.79 Given=2493. Generated=769434. Kept=13055. proofs=1.
% 4.53/4.79 Usable=2493. Sos=9898. Demods=0. Limbo=0, Disabled=697. Hints=0.
% 4.53/4.79 Megabytes=7.29.
% 4.53/4.79 User_CPU=3.39, System_CPU=0.41, Wall_clock=4.
% 4.53/4.79
% 4.53/4.79 ============================== end of statistics =====================
% 4.53/4.79
% 4.53/4.79 ============================== end of search =========================
% 4.53/4.79
% 4.53/4.79 THEOREM PROVED
% 4.53/4.79 % SZS status Unsatisfiable
% 4.53/4.79
% 4.53/4.79 Exiting with 1 proof.
% 4.53/4.79
% 4.53/4.79 Process 10932 exit (max_proofs) Mon Jun 6 21:36:14 2022
% 4.53/4.79 Prover9 interrupted
%------------------------------------------------------------------------------