TSTP Solution File: FLD025-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 02:24:13 EDT 2022
% Result : Unsatisfiable 1.04s 1.34s
% Output : Refutation 1.04s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 7 01:14:03 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.04/1.34 ============================== Prover9 ===============================
% 1.04/1.34 Prover9 (32) version 2009-11A, November 2009.
% 1.04/1.34 Process 12732 was started by sandbox on n025.cluster.edu,
% 1.04/1.34 Tue Jun 7 01:14:04 2022
% 1.04/1.34 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_12374_n025.cluster.edu".
% 1.04/1.34 ============================== end of head ===========================
% 1.04/1.34
% 1.04/1.34 ============================== INPUT =================================
% 1.04/1.34
% 1.04/1.34 % Reading from file /tmp/Prover9_12374_n025.cluster.edu
% 1.04/1.34
% 1.04/1.34 set(prolog_style_variables).
% 1.04/1.34 set(auto2).
% 1.04/1.34 % set(auto2) -> set(auto).
% 1.04/1.34 % set(auto) -> set(auto_inference).
% 1.04/1.34 % set(auto) -> set(auto_setup).
% 1.04/1.34 % set(auto_setup) -> set(predicate_elim).
% 1.04/1.34 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.04/1.34 % set(auto) -> set(auto_limits).
% 1.04/1.34 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.04/1.34 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.04/1.34 % set(auto) -> set(auto_denials).
% 1.04/1.34 % set(auto) -> set(auto_process).
% 1.04/1.34 % set(auto2) -> assign(new_constants, 1).
% 1.04/1.34 % set(auto2) -> assign(fold_denial_max, 3).
% 1.04/1.34 % set(auto2) -> assign(max_weight, "200.000").
% 1.04/1.34 % set(auto2) -> assign(max_hours, 1).
% 1.04/1.34 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.04/1.34 % set(auto2) -> assign(max_seconds, 0).
% 1.04/1.34 % set(auto2) -> assign(max_minutes, 5).
% 1.04/1.34 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.04/1.34 % set(auto2) -> set(sort_initial_sos).
% 1.04/1.34 % set(auto2) -> assign(sos_limit, -1).
% 1.04/1.34 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.04/1.34 % set(auto2) -> assign(max_megs, 400).
% 1.04/1.34 % set(auto2) -> assign(stats, some).
% 1.04/1.34 % set(auto2) -> clear(echo_input).
% 1.04/1.34 % set(auto2) -> set(quiet).
% 1.04/1.34 % set(auto2) -> clear(print_initial_clauses).
% 1.04/1.34 % set(auto2) -> clear(print_given).
% 1.04/1.34 assign(lrs_ticks,-1).
% 1.04/1.34 assign(sos_limit,10000).
% 1.04/1.34 assign(order,kbo).
% 1.04/1.34 set(lex_order_vars).
% 1.04/1.34 clear(print_given).
% 1.04/1.34
% 1.04/1.34 % formulas(sos). % not echoed (33 formulas)
% 1.04/1.34
% 1.04/1.34 ============================== end of input ==========================
% 1.04/1.34
% 1.04/1.34 % From the command line: assign(max_seconds, 300).
% 1.04/1.34
% 1.04/1.34 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.04/1.34
% 1.04/1.34 % Formulas that are not ordinary clauses:
% 1.04/1.34
% 1.04/1.34 ============================== end of process non-clausal formulas ===
% 1.04/1.34
% 1.04/1.34 ============================== PROCESS INITIAL CLAUSES ===============
% 1.04/1.34
% 1.04/1.34 ============================== PREDICATE ELIMINATION =================
% 1.04/1.34
% 1.04/1.34 ============================== end predicate elimination =============
% 1.04/1.34
% 1.04/1.34 Auto_denials: (non-Horn, no changes).
% 1.04/1.34
% 1.04/1.34 Term ordering decisions:
% 1.04/1.34 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. c=1. d=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 1.04/1.34
% 1.04/1.34 ============================== end of process initial clauses ========
% 1.04/1.34
% 1.04/1.34 ============================== CLAUSES FOR SEARCH ====================
% 1.04/1.34
% 1.04/1.34 ============================== end of clauses for search =============
% 1.04/1.34
% 1.04/1.34 ============================== SEARCH ================================
% 1.04/1.34
% 1.04/1.34 % Starting search at 0.01 seconds.
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=14.000, iters=3502
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=12.000, iters=3363
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=11.000, iters=3349
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=10.000, iters=3344
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=9.000, iters=3377
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=8.000, iters=3460
% 1.04/1.34
% 1.04/1.34 Low Water (keep): wt=7.000, iters=3352
% 1.04/1.34
% 1.04/1.34 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 272 (0.00 of 0.33 sec).
% 1.04/1.34
% 1.04/1.34 ============================== PROOF =================================
% 1.04/1.34 % SZS status Unsatisfiable
% 1.04/1.34 % SZS output start Refutation
% 1.04/1.34
% 1.04/1.34 % Proof 1 at 0.34 (+ 0.01) seconds.
% 1.04/1.34 % Length of proof is 20.
% 1.04/1.34 % Level of proof is 4.
% 1.04/1.34 % Maximum clause weight is 16.000.
% 1.04/1.34 % Given clauses 526.
% 1.04/1.34
% 1.04/1.34 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 1.04/1.34 5 defined(c) # label(c_is_defined) # label(hypothesis). [assumption].
% 1.04/1.34 6 defined(d) # label(d_is_defined) # label(hypothesis). [assumption].
% 1.04/1.34 7 product(multiplicative_identity,a,b) # label(product_5) # label(negated_conjecture). [assumption].
% 1.04/1.34 8 product(multiplicative_identity,c,d) # label(product_6) # label(negated_conjecture). [assumption].
% 1.04/1.34 10 -product(d,b,multiply(a,c)) # label(not_product_7) # label(negated_conjecture). [assumption].
% 1.04/1.34 13 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 1.04/1.34 16 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 1.04/1.34 22 product(A,B,multiply(A,B)) | -defined(A) | -defined(B) # label(totality_of_multiplication) # label(axiom). [assumption].
% 1.04/1.34 30 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 1.04/1.34 31 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 1.04/1.34 69 product(multiplicative_identity,d,d). [resolve(13,b,6,a)].
% 1.04/1.34 72 product(multiplicative_identity,a,a). [resolve(13,b,3,a)].
% 1.04/1.34 82 product(a,multiplicative_identity,b). [resolve(16,b,7,a)].
% 1.04/1.34 83 -product(b,d,multiply(a,c)). [ur(16,a,10,a)].
% 1.04/1.34 128 product(a,A,multiply(a,A)) | -defined(A). [resolve(22,b,3,a)].
% 1.04/1.34 478 product(a,multiplicative_identity,a). [resolve(72,a,16,b)].
% 1.04/1.34 541 -product(a,d,multiply(a,c)). [ur(31,a,83,a,b,82,a,c,69,a)].
% 1.04/1.34 4969 -product(a,c,multiply(a,c)). [ur(30,a,541,a,b,478,a,c,8,a)].
% 1.04/1.34 5466 $F. [resolve(128,b,5,a),unit_del(a,4969)].
% 1.04/1.34
% 1.04/1.34 % SZS output end Refutation
% 1.04/1.34 ============================== end of proof ==========================
% 1.04/1.34
% 1.04/1.34 ============================== STATISTICS ============================
% 1.04/1.34
% 1.04/1.34 Given=526. Generated=14004. Kept=5465. proofs=1.
% 1.04/1.34 Usable=515. Sos=4923. Demods=0. Limbo=1, Disabled=59. Hints=0.
% 1.04/1.34 Megabytes=2.76.
% 1.04/1.34 User_CPU=0.34, System_CPU=0.01, Wall_clock=0.
% 1.04/1.34
% 1.04/1.34 ============================== end of statistics =====================
% 1.04/1.34
% 1.04/1.34 ============================== end of search =========================
% 1.04/1.34
% 1.04/1.34 THEOREM PROVED
% 1.04/1.34 % SZS status Unsatisfiable
% 1.04/1.34
% 1.04/1.34 Exiting with 1 proof.
% 1.04/1.34
% 1.04/1.34 Process 12732 exit (max_proofs) Tue Jun 7 01:14:04 2022
% 1.04/1.34 Prover9 interrupted
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