TSTP Solution File: FLD038-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD038-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 02:24:18 EDT 2022
% Result : Unsatisfiable 0.78s 1.08s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD038-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n017.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 21:36:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.78/1.08 ============================== Prover9 ===============================
% 0.78/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.08 Process 13903 was started by sandbox2 on n017.cluster.edu,
% 0.78/1.08 Mon Jun 6 21:36:17 2022
% 0.78/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13749_n017.cluster.edu".
% 0.78/1.08 ============================== end of head ===========================
% 0.78/1.08
% 0.78/1.08 ============================== INPUT =================================
% 0.78/1.08
% 0.78/1.08 % Reading from file /tmp/Prover9_13749_n017.cluster.edu
% 0.78/1.08
% 0.78/1.08 set(prolog_style_variables).
% 0.78/1.08 set(auto2).
% 0.78/1.08 % set(auto2) -> set(auto).
% 0.78/1.08 % set(auto) -> set(auto_inference).
% 0.78/1.08 % set(auto) -> set(auto_setup).
% 0.78/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.78/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.08 % set(auto) -> set(auto_limits).
% 0.78/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.08 % set(auto) -> set(auto_denials).
% 0.78/1.08 % set(auto) -> set(auto_process).
% 0.78/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.78/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.78/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.78/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.78/1.08 % set(auto2) -> assign(stats, some).
% 0.78/1.08 % set(auto2) -> clear(echo_input).
% 0.78/1.08 % set(auto2) -> set(quiet).
% 0.78/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.08 % set(auto2) -> clear(print_given).
% 0.78/1.08 assign(lrs_ticks,-1).
% 0.78/1.08 assign(sos_limit,10000).
% 0.78/1.08 assign(order,kbo).
% 0.78/1.08 set(lex_order_vars).
% 0.78/1.08 clear(print_given).
% 0.78/1.08
% 0.78/1.08 % formulas(sos). % not echoed (31 formulas)
% 0.78/1.08
% 0.78/1.08 ============================== end of input ==========================
% 0.78/1.08
% 0.78/1.08 % From the command line: assign(max_seconds, 300).
% 0.78/1.08
% 0.78/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.08
% 0.78/1.08 % Formulas that are not ordinary clauses:
% 0.78/1.08
% 0.78/1.08 ============================== end of process non-clausal formulas ===
% 0.78/1.08
% 0.78/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.08
% 0.78/1.08 ============================== PREDICATE ELIMINATION =================
% 0.78/1.08
% 0.78/1.08 ============================== end predicate elimination =============
% 0.78/1.08
% 0.78/1.08 Auto_denials: (non-Horn, no changes).
% 0.78/1.08
% 0.78/1.08 Term ordering decisions:
% 0.78/1.08 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. multiplicative_inverse=1. additive_inverse=1.
% 0.78/1.08
% 0.78/1.08 ============================== end of process initial clauses ========
% 0.78/1.08
% 0.78/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.78/1.08
% 0.78/1.08 ============================== end of clauses for search =============
% 0.78/1.08
% 0.78/1.08 ============================== SEARCH ================================
% 0.78/1.08
% 0.78/1.08 % Starting search at 0.01 seconds.
% 0.78/1.08
% 0.78/1.08 ============================== PROOF =================================
% 0.78/1.08 % SZS status Unsatisfiable
% 0.78/1.08 % SZS output start Refutation
% 0.78/1.08
% 0.78/1.08 % Proof 1 at 0.05 (+ 0.00) seconds.
% 0.78/1.08 % Length of proof is 17.
% 0.78/1.08 % Level of proof is 4.
% 0.78/1.08 % Maximum clause weight is 16.000.
% 0.78/1.08 % Given clauses 91.
% 0.78/1.08
% 0.78/1.08 2 defined(multiplicative_identity) # label(well_definedness_of_multiplicative_identity) # label(axiom). [assumption].
% 0.78/1.08 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.78/1.08 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 0.78/1.08 5 product(b,multiplicative_inverse(a),multiplicative_identity) # label(product_4) # label(negated_conjecture). [assumption].
% 0.78/1.08 7 -sum(additive_identity,a,additive_identity) # label(not_sum_3) # label(negated_conjecture). [assumption].
% 0.78/1.08 8 -product(multiplicative_identity,a,b) # label(not_product_5) # label(negated_conjecture). [assumption].
% 0.78/1.08 11 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 0.78/1.08 14 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 0.78/1.08 23 product(multiplicative_inverse(A),A,multiplicative_identity) | sum(additive_identity,A,additive_identity) | -defined(A) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 0.78/1.08 28 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 0.78/1.08 63 product(multiplicative_identity,b,b). [resolve(11,b,4,a)].
% 0.78/1.08 64 product(multiplicative_identity,a,a). [resolve(11,b,3,a)].
% 0.78/1.08 65 product(multiplicative_identity,multiplicative_identity,multiplicative_identity). [resolve(11,b,2,a)].
% 0.78/1.08 118 product(multiplicative_inverse(a),a,multiplicative_identity). [resolve(23,c,3,a),unit_del(b,7)].
% 0.78/1.08 402 -product(multiplicative_identity,b,a). [ur(28,a,8,a,b,65,a,d,63,a)].
% 0.78/1.08 482 -product(b,multiplicative_identity,a). [ur(14,a,402,a)].
% 0.78/1.08 587 $F. [ur(28,a,482,a,b,5,a,d,64,a),unit_del(a,118)].
% 0.78/1.08
% 0.78/1.08 % SZS output end Refutation
% 0.78/1.08 ============================== end of proof ==========================
% 0.78/1.08
% 0.78/1.08 ============================== STATISTICS ============================
% 0.78/1.08
% 0.78/1.08 Given=91. Generated=818. Kept=586. proofs=1.
% 0.78/1.08 Usable=91. Sos=488. Demods=0. Limbo=0, Disabled=38. Hints=0.
% 0.78/1.08 Megabytes=0.43.
% 0.78/1.08 User_CPU=0.05, System_CPU=0.00, Wall_clock=0.
% 0.78/1.08
% 0.78/1.08 ============================== end of statistics =====================
% 0.78/1.08
% 0.78/1.08 ============================== end of search =========================
% 0.78/1.08
% 0.78/1.08 THEOREM PROVED
% 0.78/1.08 % SZS status Unsatisfiable
% 0.78/1.08
% 0.78/1.08 Exiting with 1 proof.
% 0.78/1.08
% 0.78/1.08 Process 13903 exit (max_proofs) Mon Jun 6 21:36:17 2022
% 0.78/1.08 Prover9 interrupted
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