TSTP Solution File: FLD029-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD029-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 02:24:15 EDT 2022
% Result : Unsatisfiable 1.28s 1.58s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD029-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.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 18:40:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.28/1.58 ============================== Prover9 ===============================
% 1.28/1.58 Prover9 (32) version 2009-11A, November 2009.
% 1.28/1.58 Process 31120 was started by sandbox2 on n022.cluster.edu,
% 1.28/1.58 Mon Jun 6 18:40:36 2022
% 1.28/1.58 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30967_n022.cluster.edu".
% 1.28/1.58 ============================== end of head ===========================
% 1.28/1.58
% 1.28/1.58 ============================== INPUT =================================
% 1.28/1.58
% 1.28/1.58 % Reading from file /tmp/Prover9_30967_n022.cluster.edu
% 1.28/1.58
% 1.28/1.58 set(prolog_style_variables).
% 1.28/1.58 set(auto2).
% 1.28/1.58 % set(auto2) -> set(auto).
% 1.28/1.58 % set(auto) -> set(auto_inference).
% 1.28/1.58 % set(auto) -> set(auto_setup).
% 1.28/1.58 % set(auto_setup) -> set(predicate_elim).
% 1.28/1.58 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.28/1.58 % set(auto) -> set(auto_limits).
% 1.28/1.58 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.28/1.58 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.28/1.58 % set(auto) -> set(auto_denials).
% 1.28/1.58 % set(auto) -> set(auto_process).
% 1.28/1.58 % set(auto2) -> assign(new_constants, 1).
% 1.28/1.58 % set(auto2) -> assign(fold_denial_max, 3).
% 1.28/1.58 % set(auto2) -> assign(max_weight, "200.000").
% 1.28/1.58 % set(auto2) -> assign(max_hours, 1).
% 1.28/1.58 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.28/1.58 % set(auto2) -> assign(max_seconds, 0).
% 1.28/1.58 % set(auto2) -> assign(max_minutes, 5).
% 1.28/1.58 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.28/1.58 % set(auto2) -> set(sort_initial_sos).
% 1.28/1.58 % set(auto2) -> assign(sos_limit, -1).
% 1.28/1.58 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.28/1.58 % set(auto2) -> assign(max_megs, 400).
% 1.28/1.58 % set(auto2) -> assign(stats, some).
% 1.28/1.58 % set(auto2) -> clear(echo_input).
% 1.28/1.58 % set(auto2) -> set(quiet).
% 1.28/1.58 % set(auto2) -> clear(print_initial_clauses).
% 1.28/1.58 % set(auto2) -> clear(print_given).
% 1.28/1.58 assign(lrs_ticks,-1).
% 1.28/1.58 assign(sos_limit,10000).
% 1.28/1.58 assign(order,kbo).
% 1.28/1.58 set(lex_order_vars).
% 1.28/1.58 clear(print_given).
% 1.28/1.58
% 1.28/1.58 % formulas(sos). % not echoed (34 formulas)
% 1.28/1.58
% 1.28/1.58 ============================== end of input ==========================
% 1.28/1.58
% 1.28/1.58 % From the command line: assign(max_seconds, 300).
% 1.28/1.58
% 1.28/1.58 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.28/1.58
% 1.28/1.58 % Formulas that are not ordinary clauses:
% 1.28/1.58
% 1.28/1.58 ============================== end of process non-clausal formulas ===
% 1.28/1.58
% 1.28/1.58 ============================== PROCESS INITIAL CLAUSES ===============
% 1.28/1.58
% 1.28/1.58 ============================== PREDICATE ELIMINATION =================
% 1.28/1.58
% 1.28/1.58 ============================== end predicate elimination =============
% 1.28/1.58
% 1.28/1.58 Auto_denials: (non-Horn, no changes).
% 1.28/1.58
% 1.28/1.58 Term ordering decisions:
% 1.28/1.58 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.
% 1.28/1.58
% 1.28/1.58 ============================== end of process initial clauses ========
% 1.28/1.58
% 1.28/1.58 ============================== CLAUSES FOR SEARCH ====================
% 1.28/1.58
% 1.28/1.58 ============================== end of clauses for search =============
% 1.28/1.58
% 1.28/1.58 ============================== SEARCH ================================
% 1.28/1.58
% 1.28/1.58 % Starting search at 0.01 seconds.
% 1.28/1.58
% 1.28/1.58 Low Water (keep): wt=14.000, iters=3400
% 1.28/1.58
% 1.28/1.58 Low Water (keep): wt=12.000, iters=3434
% 1.28/1.58
% 1.28/1.58 Low Water (keep): wt=11.000, iters=3360
% 1.28/1.58
% 1.28/1.58 Low Water (keep): wt=9.000, iters=3334
% 1.28/1.58
% 1.28/1.58 Low Water (keep): wt=8.000, iters=3434
% 1.28/1.58
% 1.28/1.58 Low Water (keep): wt=7.000, iters=3352
% 1.28/1.58
% 1.28/1.58 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 228 (0.00 of 0.35 sec).
% 1.28/1.58
% 1.28/1.58 ============================== PROOF =================================
% 1.28/1.58 % SZS status Unsatisfiable
% 1.28/1.58 % SZS output start Refutation
% 1.28/1.58
% 1.28/1.58 % Proof 1 at 0.60 (+ 0.03) seconds.
% 1.28/1.58 % Length of proof is 40.
% 1.28/1.58 % Level of proof is 9.
% 1.28/1.58 % Maximum clause weight is 20.000.
% 1.28/1.58 % Given clauses 971.
% 1.28/1.58
% 1.28/1.58 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 1.28/1.58 2 defined(multiplicative_identity) # label(well_definedness_of_multiplicative_identity) # label(axiom). [assumption].
% 1.28/1.58 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 1.28/1.58 5 defined(u) # label(u_is_defined) # label(hypothesis). [assumption].
% 1.28/1.58 6 defined(v) # label(v_is_defined) # label(hypothesis). [assumption].
% 1.28/1.58 7 product(a,u,b) # label(product_6) # label(negated_conjecture). [assumption].
% 1.28/1.59 8 product(a,v,b) # label(product_7) # label(negated_conjecture). [assumption].
% 1.28/1.59 10 -sum(additive_identity,b,additive_identity) # label(not_sum_5) # label(negated_conjecture). [assumption].
% 1.28/1.59 11 -product(multiplicative_identity,u,v) # label(not_product_8) # label(negated_conjecture). [assumption].
% 1.28/1.59 13 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 1.28/1.59 14 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 1.28/1.59 15 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 1.28/1.59 16 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 1.28/1.59 26 product(multiplicative_inverse(A),A,multiplicative_identity) | sum(additive_identity,A,additive_identity) | -defined(A) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 1.28/1.59 29 sum(A,B,C) | -sum(A,D,E) | -sum(D,F,B) | -sum(E,F,C) # label(associativity_addition_1) # label(axiom). [assumption].
% 1.28/1.59 30 sum(A,B,C) | -sum(D,E,A) | -sum(E,B,F) | -sum(D,F,C) # label(associativity_addition_2) # label(axiom). [assumption].
% 1.28/1.59 31 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 1.28/1.59 32 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 1.28/1.59 33 sum(A,B,C) | -sum(D,E,F) | -product(F,V6,C) | -product(D,V6,A) | -product(E,V6,B) # label(distributivity_1) # label(axiom). [assumption].
% 1.28/1.59 45 sum(A,B,A) | -sum(C,D,A) | -sum(D,B,D). [factor(30,b,d)].
% 1.28/1.59 46 sum(A,B,B) | -sum(C,C,A) | -sum(C,B,B). [factor(30,c,d)].
% 1.28/1.59 51 sum(A,B,A) | -sum(C,D,C) | -product(C,E,A) | -product(D,E,B). [factor(33,c,d)].
% 1.28/1.59 67 sum(additive_identity,a,a). [resolve(13,b,3,a)].
% 1.28/1.59 68 sum(additive_identity,multiplicative_identity,multiplicative_identity). [resolve(13,b,2,a)].
% 1.28/1.59 69 sum(additive_identity,additive_identity,additive_identity). [resolve(13,b,1,a)].
% 1.28/1.59 70 product(multiplicative_identity,v,v). [resolve(14,b,6,a)].
% 1.28/1.59 71 product(multiplicative_identity,u,u). [resolve(14,b,5,a)].
% 1.28/1.59 74 product(multiplicative_identity,multiplicative_identity,multiplicative_identity). [resolve(14,b,2,a)].
% 1.28/1.59 76 sum(additive_inverse(v),v,additive_identity). [resolve(15,b,6,a)].
% 1.28/1.59 154 product(multiplicative_inverse(a),a,multiplicative_identity) | sum(additive_identity,a,additive_identity). [resolve(26,c,3,a)].
% 1.28/1.59 161 product(A,b,B) | -product(A,a,C) | -product(C,u,B). [resolve(31,c,7,a)].
% 1.28/1.59 513 -product(multiplicative_identity,v,u). [ur(31,a,11,a,b,74,a,d,70,a)].
% 1.28/1.59 598 -sum(v,b,v). [ur(45,a,10,a,b,76,a)].
% 1.28/1.59 602 -sum(multiplicative_identity,a,multiplicative_identity). [ur(51,a,598,a,c,70,a,d,8,a)].
% 1.28/1.59 605 -sum(a,multiplicative_identity,multiplicative_identity). [ur(16,a,602,a)].
% 1.28/1.59 708 -sum(additive_identity,additive_identity,a). [ur(46,a,605,a,c,68,a)].
% 1.28/1.59 921 -sum(additive_identity,a,additive_identity). [ur(29,a,708,a,b,69,a,d,67,a)].
% 1.28/1.59 924 product(multiplicative_inverse(a),a,multiplicative_identity). [back_unit_del(154),unit_del(b,921)].
% 1.28/1.59 5711 -product(multiplicative_inverse(a),b,u). [ur(32,a,513,a,b,924,a,c,8,a)].
% 1.28/1.59 6678 $F. [ur(161,a,5711,a,c,71,a),unit_del(a,924)].
% 1.28/1.59
% 1.28/1.59 % SZS output end Refutation
% 1.28/1.59 ============================== end of proof ==========================
% 1.28/1.59
% 1.28/1.59 ============================== STATISTICS ============================
% 1.28/1.59
% 1.28/1.59 Given=971. Generated=37926. Kept=6677. proofs=1.
% 1.28/1.59 Usable=960. Sos=5665. Demods=0. Limbo=0, Disabled=86. Hints=0.
% 1.28/1.59 Megabytes=3.29.
% 1.28/1.59 User_CPU=0.60, System_CPU=0.03, Wall_clock=0.
% 1.28/1.59
% 1.28/1.59 ============================== end of statistics =====================
% 1.28/1.59
% 1.28/1.59 ============================== end of search =========================
% 1.28/1.59
% 1.28/1.59 THEOREM PROVED
% 1.28/1.59 % SZS status Unsatisfiable
% 1.28/1.59
% 1.28/1.59 Exiting with 1 proof.
% 1.28/1.59
% 1.28/1.59 Process 31120 exit (max_proofs) Mon Jun 6 18:40:36 2022
% 1.28/1.59 Prover9 interrupted
%------------------------------------------------------------------------------