TSTP Solution File: FLD002-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD002-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 02:24:05 EDT 2022
% Result : Unsatisfiable 0.73s 1.04s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD002-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n024.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 6 12:34:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.04 ============================== Prover9 ===============================
% 0.73/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.04 Process 1780 was started by sandbox on n024.cluster.edu,
% 0.73/1.04 Mon Jun 6 12:34:35 2022
% 0.73/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1613_n024.cluster.edu".
% 0.73/1.04 ============================== end of head ===========================
% 0.73/1.04
% 0.73/1.04 ============================== INPUT =================================
% 0.73/1.04
% 0.73/1.04 % Reading from file /tmp/Prover9_1613_n024.cluster.edu
% 0.73/1.04
% 0.73/1.04 set(prolog_style_variables).
% 0.73/1.04 set(auto2).
% 0.73/1.04 % set(auto2) -> set(auto).
% 0.73/1.04 % set(auto) -> set(auto_inference).
% 0.73/1.04 % set(auto) -> set(auto_setup).
% 0.73/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.73/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.04 % set(auto) -> set(auto_limits).
% 0.73/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.04 % set(auto) -> set(auto_denials).
% 0.73/1.04 % set(auto) -> set(auto_process).
% 0.73/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.73/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.73/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.73/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.73/1.04 % set(auto2) -> assign(stats, some).
% 0.73/1.04 % set(auto2) -> clear(echo_input).
% 0.73/1.04 % set(auto2) -> set(quiet).
% 0.73/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.04 % set(auto2) -> clear(print_given).
% 0.73/1.04 assign(lrs_ticks,-1).
% 0.73/1.04 assign(sos_limit,10000).
% 0.73/1.04 assign(order,kbo).
% 0.73/1.04 set(lex_order_vars).
% 0.73/1.04 clear(print_given).
% 0.73/1.04
% 0.73/1.04 % formulas(sos). % not echoed (30 formulas)
% 0.73/1.04
% 0.73/1.04 ============================== end of input ==========================
% 0.73/1.04
% 0.73/1.04 % From the command line: assign(max_seconds, 300).
% 0.73/1.04
% 0.73/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.04
% 0.73/1.04 % Formulas that are not ordinary clauses:
% 0.73/1.04
% 0.73/1.04 ============================== end of process non-clausal formulas ===
% 0.73/1.04
% 0.73/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.04
% 0.73/1.04 ============================== PREDICATE ELIMINATION =================
% 0.73/1.04
% 0.73/1.04 ============================== end predicate elimination =============
% 0.73/1.04
% 0.73/1.04 Auto_denials: (non-Horn, no changes).
% 0.73/1.04
% 0.73/1.04 Term ordering decisions:
% 0.73/1.04 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.73/1.04
% 0.73/1.04 ============================== end of process initial clauses ========
% 0.73/1.04
% 0.73/1.04 ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.04
% 0.73/1.04 ============================== end of clauses for search =============
% 0.73/1.04
% 0.73/1.04 ============================== SEARCH ================================
% 0.73/1.04
% 0.73/1.04 % Starting search at 0.01 seconds.
% 0.73/1.04
% 0.73/1.04 ============================== PROOF =================================
% 0.73/1.04 % SZS status Unsatisfiable
% 0.73/1.04 % SZS output start Refutation
% 0.73/1.04
% 0.73/1.04 % Proof 1 at 0.07 (+ 0.00) seconds.
% 0.73/1.04 % Length of proof is 15.
% 0.73/1.04 % Level of proof is 3.
% 0.73/1.04 % Maximum clause weight is 20.000.
% 0.73/1.04 % Given clauses 114.
% 0.73/1.04
% 0.73/1.04 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 0.73/1.04 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.73/1.04 5 product(multiplicative_identity,a,b) # label(product_3) # label(hypothesis). [assumption].
% 0.73/1.04 7 -sum(additive_identity,a,b) # label(not_sum_4) # label(negated_conjecture). [assumption].
% 0.73/1.04 9 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 0.73/1.04 10 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 0.73/1.04 13 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 0.73/1.04 29 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].
% 0.73/1.04 59 sum(additive_identity,a,a). [resolve(9,b,3,a)].
% 0.73/1.04 63 product(multiplicative_identity,a,a). [resolve(10,b,3,a)].
% 0.73/1.04 65 product(multiplicative_identity,additive_identity,additive_identity). [resolve(10,b,1,a)].
% 0.73/1.04 71 product(a,multiplicative_identity,b). [resolve(13,b,5,a)].
% 0.73/1.04 351 product(a,multiplicative_identity,a). [resolve(63,a,13,b)].
% 0.73/1.04 402 product(additive_identity,multiplicative_identity,additive_identity). [resolve(65,a,13,b)].
% 0.73/1.04 867 $F. [ur(29,a,7,a,b,59,a,c,71,a,e,351,a),unit_del(a,402)].
% 0.73/1.04
% 0.73/1.04 % SZS output end Refutation
% 0.73/1.04 ============================== end of proof ==========================
% 0.73/1.04
% 0.73/1.04 ============================== STATISTICS ============================
% 0.73/1.04
% 0.73/1.04 Given=114. Generated=1339. Kept=866. proofs=1.
% 0.73/1.04 Usable=114. Sos=720. Demods=0. Limbo=24, Disabled=38. Hints=0.
% 0.73/1.04 Megabytes=0.60.
% 0.73/1.04 User_CPU=0.07, System_CPU=0.00, Wall_clock=0.
% 0.73/1.04
% 0.73/1.04 ============================== end of statistics =====================
% 0.73/1.04
% 0.73/1.04 ============================== end of search =========================
% 0.73/1.04
% 0.73/1.04 THEOREM PROVED
% 0.73/1.04 % SZS status Unsatisfiable
% 0.73/1.04
% 0.73/1.04 Exiting with 1 proof.
% 0.73/1.04
% 0.73/1.04 Process 1780 exit (max_proofs) Mon Jun 6 12:34:35 2022
% 0.73/1.04 Prover9 interrupted
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