TSTP Solution File: FLD014-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 02:24:10 EDT 2022
% Result : Unsatisfiable 0.95s 1.32s
% Output : Refutation 0.95s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n023.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 : Mon Jun 6 19:11:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.95/1.32 ============================== Prover9 ===============================
% 0.95/1.32 Prover9 (32) version 2009-11A, November 2009.
% 0.95/1.32 Process 8195 was started by sandbox on n023.cluster.edu,
% 0.95/1.32 Mon Jun 6 19:11:54 2022
% 0.95/1.32 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8041_n023.cluster.edu".
% 0.95/1.32 ============================== end of head ===========================
% 0.95/1.32
% 0.95/1.32 ============================== INPUT =================================
% 0.95/1.32
% 0.95/1.32 % Reading from file /tmp/Prover9_8041_n023.cluster.edu
% 0.95/1.32
% 0.95/1.32 set(prolog_style_variables).
% 0.95/1.32 set(auto2).
% 0.95/1.32 % set(auto2) -> set(auto).
% 0.95/1.32 % set(auto) -> set(auto_inference).
% 0.95/1.32 % set(auto) -> set(auto_setup).
% 0.95/1.32 % set(auto_setup) -> set(predicate_elim).
% 0.95/1.32 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.95/1.32 % set(auto) -> set(auto_limits).
% 0.95/1.32 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.95/1.32 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.95/1.32 % set(auto) -> set(auto_denials).
% 0.95/1.32 % set(auto) -> set(auto_process).
% 0.95/1.32 % set(auto2) -> assign(new_constants, 1).
% 0.95/1.32 % set(auto2) -> assign(fold_denial_max, 3).
% 0.95/1.32 % set(auto2) -> assign(max_weight, "200.000").
% 0.95/1.32 % set(auto2) -> assign(max_hours, 1).
% 0.95/1.32 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.95/1.32 % set(auto2) -> assign(max_seconds, 0).
% 0.95/1.32 % set(auto2) -> assign(max_minutes, 5).
% 0.95/1.32 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.95/1.32 % set(auto2) -> set(sort_initial_sos).
% 0.95/1.32 % set(auto2) -> assign(sos_limit, -1).
% 0.95/1.32 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.95/1.32 % set(auto2) -> assign(max_megs, 400).
% 0.95/1.32 % set(auto2) -> assign(stats, some).
% 0.95/1.32 % set(auto2) -> clear(echo_input).
% 0.95/1.32 % set(auto2) -> set(quiet).
% 0.95/1.32 % set(auto2) -> clear(print_initial_clauses).
% 0.95/1.32 % set(auto2) -> clear(print_given).
% 0.95/1.32 assign(lrs_ticks,-1).
% 0.95/1.32 assign(sos_limit,10000).
% 0.95/1.32 assign(order,kbo).
% 0.95/1.32 set(lex_order_vars).
% 0.95/1.32 clear(print_given).
% 0.95/1.32
% 0.95/1.32 % formulas(sos). % not echoed (30 formulas)
% 0.95/1.32
% 0.95/1.32 ============================== end of input ==========================
% 0.95/1.32
% 0.95/1.32 % From the command line: assign(max_seconds, 300).
% 0.95/1.32
% 0.95/1.32 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.95/1.32
% 0.95/1.32 % Formulas that are not ordinary clauses:
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% 0.95/1.32 ============================== end of process non-clausal formulas ===
% 0.95/1.32
% 0.95/1.32 ============================== PROCESS INITIAL CLAUSES ===============
% 0.95/1.32
% 0.95/1.32 ============================== PREDICATE ELIMINATION =================
% 0.95/1.32
% 0.95/1.32 ============================== end predicate elimination =============
% 0.95/1.32
% 0.95/1.32 Auto_denials: (non-Horn, no changes).
% 0.95/1.32
% 0.95/1.32 Term ordering decisions:
% 0.95/1.32 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.95/1.32
% 0.95/1.32 ============================== end of process initial clauses ========
% 0.95/1.32
% 0.95/1.32 ============================== CLAUSES FOR SEARCH ====================
% 0.95/1.32
% 0.95/1.32 ============================== end of clauses for search =============
% 0.95/1.32
% 0.95/1.32 ============================== SEARCH ================================
% 0.95/1.32
% 0.95/1.32 % Starting search at 0.01 seconds.
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=18.000, iters=3699
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=14.000, iters=3478
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=13.000, iters=3411
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=12.000, iters=3361
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=11.000, iters=3352
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=10.000, iters=3360
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=9.000, iters=3358
% 0.95/1.32
% 0.95/1.32 Low Water (keep): wt=8.000, iters=3643
% 0.95/1.32
% 0.95/1.32 ============================== PROOF =================================
% 0.95/1.32 % SZS status Unsatisfiable
% 0.95/1.32 % SZS output start Refutation
% 0.95/1.32
% 0.95/1.32 % Proof 1 at 0.33 (+ 0.01) seconds.
% 0.95/1.32 % Length of proof is 20.
% 0.95/1.32 % Level of proof is 4.
% 0.95/1.32 % Maximum clause weight is 16.000.
% 0.95/1.32 % Given clauses 492.
% 0.95/1.32
% 0.95/1.32 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 0.95/1.32 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.95/1.32 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 0.95/1.32 5 sum(additive_identity,a,b) # label(sum_3) # label(negated_conjecture). [assumption].
% 0.95/1.32 7 -sum(additive_identity,additive_inverse(a),additive_inverse(b)) # label(not_sum_4) # label(negated_conjecture). [assumption].
% 0.95/1.32 8 defined(additive_inverse(A)) | -defined(A) # label(well_definedness_of_additive_inverse) # label(axiom). [assumption].
% 0.95/1.32 9 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 0.95/1.32 11 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 0.95/1.32 12 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 0.95/1.32 25 sum(A,B,C) | -sum(A,D,E) | -sum(D,F,B) | -sum(E,F,C) # label(associativity_addition_1) # label(axiom). [assumption].
% 0.95/1.32 54 defined(additive_inverse(b)). [resolve(8,b,4,a)].
% 0.95/1.32 61 sum(additive_identity,additive_identity,additive_identity). [resolve(9,b,1,a)].
% 0.95/1.32 66 sum(additive_inverse(b),b,additive_identity). [resolve(11,b,4,a)].
% 0.95/1.32 67 sum(additive_inverse(a),a,additive_identity). [resolve(11,b,3,a)].
% 0.95/1.32 70 sum(a,additive_identity,b). [resolve(12,b,5,a)].
% 0.95/1.32 71 -sum(additive_inverse(a),additive_identity,additive_inverse(b)). [ur(12,a,7,a)].
% 0.95/1.32 162 sum(additive_identity,additive_inverse(b),additive_inverse(b)). [resolve(54,a,9,b)].
% 0.95/1.32 449 sum(b,additive_inverse(b),additive_identity). [resolve(66,a,12,b)].
% 0.95/1.32 6703 -sum(additive_inverse(a),b,additive_identity). [ur(25,a,71,a,c,449,a,d,162,a)].
% 0.95/1.32 6714 $F. [ur(25,a,6703,a,c,70,a,d,61,a),unit_del(a,67)].
% 0.95/1.32
% 0.95/1.32 % SZS output end Refutation
% 0.95/1.32 ============================== end of proof ==========================
% 0.95/1.32
% 0.95/1.32 ============================== STATISTICS ============================
% 0.95/1.32
% 0.95/1.32 Given=492. Generated=13010. Kept=6713. proofs=1.
% 0.95/1.32 Usable=478. Sos=6197. Demods=0. Limbo=5, Disabled=63. Hints=0.
% 0.95/1.32 Megabytes=3.71.
% 0.95/1.32 User_CPU=0.33, System_CPU=0.01, Wall_clock=1.
% 0.95/1.32
% 0.95/1.32 ============================== end of statistics =====================
% 0.95/1.32
% 0.95/1.32 ============================== end of search =========================
% 0.95/1.32
% 0.95/1.32 THEOREM PROVED
% 0.95/1.32 % SZS status Unsatisfiable
% 0.95/1.32
% 0.95/1.32 Exiting with 1 proof.
% 0.95/1.32
% 0.95/1.32 Process 8195 exit (max_proofs) Mon Jun 6 19:11:55 2022
% 0.95/1.32 Prover9 interrupted
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