TSTP Solution File: FLD009-3 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD009-3 : 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 02:24:07 EDT 2022
% Result : Unsatisfiable 0.88s 1.21s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD009-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n023.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 : Tue Jun 7 00:15:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.88/1.21 ============================== Prover9 ===============================
% 0.88/1.21 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.21 Process 1787 was started by sandbox on n023.cluster.edu,
% 0.88/1.21 Tue Jun 7 00:15:24 2022
% 0.88/1.21 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1623_n023.cluster.edu".
% 0.88/1.21 ============================== end of head ===========================
% 0.88/1.21
% 0.88/1.21 ============================== INPUT =================================
% 0.88/1.21
% 0.88/1.21 % Reading from file /tmp/Prover9_1623_n023.cluster.edu
% 0.88/1.21
% 0.88/1.21 set(prolog_style_variables).
% 0.88/1.21 set(auto2).
% 0.88/1.21 % set(auto2) -> set(auto).
% 0.88/1.21 % set(auto) -> set(auto_inference).
% 0.88/1.21 % set(auto) -> set(auto_setup).
% 0.88/1.21 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.21 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.21 % set(auto) -> set(auto_limits).
% 0.88/1.21 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.21 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.21 % set(auto) -> set(auto_denials).
% 0.88/1.21 % set(auto) -> set(auto_process).
% 0.88/1.21 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.21 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.21 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.21 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.21 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.21 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.21 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.21 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.21 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.21 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.21 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.21 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.21 % set(auto2) -> assign(stats, some).
% 0.88/1.21 % set(auto2) -> clear(echo_input).
% 0.88/1.21 % set(auto2) -> set(quiet).
% 0.88/1.21 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.21 % set(auto2) -> clear(print_given).
% 0.88/1.21 assign(lrs_ticks,-1).
% 0.88/1.21 assign(sos_limit,10000).
% 0.88/1.21 assign(order,kbo).
% 0.88/1.21 set(lex_order_vars).
% 0.88/1.21 clear(print_given).
% 0.88/1.21
% 0.88/1.21 % formulas(sos). % not echoed (30 formulas)
% 0.88/1.21
% 0.88/1.21 ============================== end of input ==========================
% 0.88/1.21
% 0.88/1.21 % From the command line: assign(max_seconds, 300).
% 0.88/1.21
% 0.88/1.21 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.21
% 0.88/1.21 % Formulas that are not ordinary clauses:
% 0.88/1.21
% 0.88/1.21 ============================== end of process non-clausal formulas ===
% 0.88/1.21
% 0.88/1.21 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.21
% 0.88/1.21 ============================== PREDICATE ELIMINATION =================
% 0.88/1.21
% 0.88/1.21 ============================== end predicate elimination =============
% 0.88/1.21
% 0.88/1.21 Auto_denials: (non-Horn, no changes).
% 0.88/1.21
% 0.88/1.21 Term ordering decisions:
% 0.88/1.21 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.88/1.21
% 0.88/1.21 ============================== end of process initial clauses ========
% 0.88/1.21
% 0.88/1.21 ============================== CLAUSES FOR SEARCH ====================
% 0.88/1.21
% 0.88/1.21 ============================== end of clauses for search =============
% 0.88/1.21
% 0.88/1.21 ============================== SEARCH ================================
% 0.88/1.21
% 0.88/1.21 % Starting search at 0.01 seconds.
% 0.88/1.21
% 0.88/1.21 Low Water (keep): wt=18.000, iters=3568
% 0.88/1.21
% 0.88/1.21 Low Water (keep): wt=14.000, iters=3367
% 0.88/1.21
% 0.88/1.21 Low Water (keep): wt=13.000, iters=3353
% 0.88/1.21
% 0.88/1.21 Low Water (keep): wt=12.000, iters=3364
% 0.88/1.21
% 0.88/1.21 Low Water (keep): wt=11.000, iters=3373
% 0.88/1.21
% 0.88/1.21 Low Water (keep): wt=10.000, iters=3339
% 0.88/1.21
% 0.88/1.21 ============================== PROOF =================================
% 0.88/1.21 % SZS status Unsatisfiable
% 0.88/1.21 % SZS output start Refutation
% 0.88/1.21
% 0.88/1.21 % Proof 1 at 0.23 (+ 0.01) seconds.
% 0.88/1.21 % Length of proof is 17.
% 0.88/1.21 % Level of proof is 4.
% 0.88/1.21 % Maximum clause weight is 16.000.
% 0.88/1.21 % Given clauses 325.
% 0.88/1.21
% 0.88/1.21 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.88/1.21 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 0.88/1.21 6 -sum(additive_identity,a,additive_identity) # label(not_sum_3) # label(negated_conjecture). [assumption].
% 0.88/1.21 7 -product(a,A,b) # label(not_product_4) # label(negated_conjecture). [assumption].
% 0.88/1.21 10 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 0.88/1.21 13 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 0.88/1.21 16 defined(multiplicative_inverse(A)) | -defined(A) | sum(additive_identity,A,additive_identity) # label(well_definedness_of_multiplicative_inverse) # label(axiom). [assumption].
% 0.88/1.21 19 product(A,B,multiply(A,B)) | -defined(A) | -defined(B) # label(totality_of_multiplication) # label(axiom). [assumption].
% 0.88/1.21 22 product(multiplicative_inverse(A),A,multiplicative_identity) | sum(additive_identity,A,additive_identity) | -defined(A) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 0.88/1.21 28 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 0.88/1.21 62 product(multiplicative_identity,b,b). [resolve(10,b,4,a)].
% 0.88/1.21 71 -product(A,a,b). [ur(13,a,7,a)].
% 0.88/1.21 89 defined(multiplicative_inverse(a)). [resolve(16,b,3,a),unit_del(b,6)].
% 0.88/1.21 116 product(multiplicative_inverse(a),a,multiplicative_identity). [resolve(22,c,3,a),unit_del(b,6)].
% 0.88/1.21 328 product(b,multiplicative_identity,b). [resolve(62,a,13,b)].
% 0.88/1.21 1462 -product(b,multiplicative_inverse(a),A). [ur(28,a,71,a,c,116,a,d,328,a)].
% 0.88/1.21 4623 $F. [ur(19,a,1462,a,c,89,a),unit_del(a,4)].
% 0.88/1.21
% 0.88/1.21 % SZS output end Refutation
% 0.88/1.21 ============================== end of proof ==========================
% 0.88/1.21
% 0.88/1.21 ============================== STATISTICS ============================
% 0.88/1.21
% 0.88/1.21 Given=325. Generated=7314. Kept=4622. proofs=1.
% 0.88/1.21 Usable=323. Sos=4282. Demods=0. Limbo=0, Disabled=47. Hints=0.
% 0.88/1.21 Megabytes=2.60.
% 0.88/1.21 User_CPU=0.23, System_CPU=0.01, Wall_clock=0.
% 0.88/1.21
% 0.88/1.21 ============================== end of statistics =====================
% 0.88/1.21
% 0.88/1.21 ============================== end of search =========================
% 0.88/1.21
% 0.88/1.21 THEOREM PROVED
% 0.88/1.21 % SZS status Unsatisfiable
% 0.88/1.21
% 0.88/1.21 Exiting with 1 proof.
% 0.88/1.21
% 0.88/1.21 Process 1787 exit (max_proofs) Tue Jun 7 00:15:24 2022
% 0.88/1.21 Prover9 interrupted
%------------------------------------------------------------------------------