TSTP Solution File: FLD035-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD035-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 02:24:17 EDT 2022
% Result : Unsatisfiable 0.88s 1.22s
% Output : Refutation 0.88s
% 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 : FLD035-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n026.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 15:04:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.22 ============================== Prover9 ===============================
% 0.88/1.22 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.22 Process 7819 was started by sandbox on n026.cluster.edu,
% 0.88/1.22 Mon Jun 6 15:04:01 2022
% 0.88/1.22 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7666_n026.cluster.edu".
% 0.88/1.22 ============================== end of head ===========================
% 0.88/1.22
% 0.88/1.22 ============================== INPUT =================================
% 0.88/1.22
% 0.88/1.22 % Reading from file /tmp/Prover9_7666_n026.cluster.edu
% 0.88/1.22
% 0.88/1.22 set(prolog_style_variables).
% 0.88/1.22 set(auto2).
% 0.88/1.22 % set(auto2) -> set(auto).
% 0.88/1.22 % set(auto) -> set(auto_inference).
% 0.88/1.22 % set(auto) -> set(auto_setup).
% 0.88/1.22 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.22 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.22 % set(auto) -> set(auto_limits).
% 0.88/1.22 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.22 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.22 % set(auto) -> set(auto_denials).
% 0.88/1.22 % set(auto) -> set(auto_process).
% 0.88/1.22 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.22 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.22 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.22 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.22 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.22 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.22 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.22 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.22 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.22 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.22 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.22 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.22 % set(auto2) -> assign(stats, some).
% 0.88/1.22 % set(auto2) -> clear(echo_input).
% 0.88/1.22 % set(auto2) -> set(quiet).
% 0.88/1.22 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.22 % set(auto2) -> clear(print_given).
% 0.88/1.22 assign(lrs_ticks,-1).
% 0.88/1.22 assign(sos_limit,10000).
% 0.88/1.22 assign(order,kbo).
% 0.88/1.22 set(lex_order_vars).
% 0.88/1.22 clear(print_given).
% 0.88/1.22
% 0.88/1.22 % formulas(sos). % not echoed (34 formulas)
% 0.88/1.22
% 0.88/1.22 ============================== end of input ==========================
% 0.88/1.22
% 0.88/1.22 % From the command line: assign(max_seconds, 300).
% 0.88/1.22
% 0.88/1.22 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.22
% 0.88/1.22 % Formulas that are not ordinary clauses:
% 0.88/1.22
% 0.88/1.22 ============================== end of process non-clausal formulas ===
% 0.88/1.22
% 0.88/1.22 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.22
% 0.88/1.22 ============================== PREDICATE ELIMINATION =================
% 0.88/1.22
% 0.88/1.22 ============================== end predicate elimination =============
% 0.88/1.22
% 0.88/1.22 Auto_denials: (non-Horn, no changes).
% 0.88/1.22
% 0.88/1.22 Term ordering decisions:
% 0.88/1.22 Function symbol KB weights: additive_identity=1. c=1. multiplicative_identity=1. u=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.88/1.22
% 0.88/1.22 ============================== end of process initial clauses ========
% 0.88/1.22
% 0.88/1.22 ============================== CLAUSES FOR SEARCH ====================
% 0.88/1.22
% 0.88/1.22 ============================== end of clauses for search =============
% 0.88/1.22
% 0.88/1.22 ============================== SEARCH ================================
% 0.88/1.22
% 0.88/1.22 % Starting search at 0.01 seconds.
% 0.88/1.22
% 0.88/1.22 Low Water (keep): wt=14.000, iters=3451
% 0.88/1.22
% 0.88/1.22 Low Water (keep): wt=12.000, iters=3398
% 0.88/1.22
% 0.88/1.22 Low Water (keep): wt=11.000, iters=3363
% 0.88/1.22
% 0.88/1.22 Low Water (keep): wt=9.000, iters=3354
% 0.88/1.22
% 0.88/1.22 Low Water (keep): wt=8.000, iters=3571
% 0.88/1.22
% 0.88/1.22 Low Water (keep): wt=7.000, iters=3344
% 0.88/1.22
% 0.88/1.22 ============================== PROOF =================================
% 0.88/1.22 % SZS status Unsatisfiable
% 0.88/1.22 % SZS output start Refutation
% 0.88/1.22
% 0.88/1.22 % Proof 1 at 0.23 (+ 0.01) seconds.
% 0.88/1.22 % Length of proof is 22.
% 0.88/1.22 % Level of proof is 4.
% 0.88/1.22 % Maximum clause weight is 16.000.
% 0.88/1.22 % Given clauses 406.
% 0.88/1.22
% 0.88/1.22 2 defined(multiplicative_identity) # label(well_definedness_of_multiplicative_identity) # label(axiom). [assumption].
% 0.88/1.22 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.88/1.22 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 0.88/1.22 5 defined(c) # label(c_is_defined) # label(hypothesis). [assumption].
% 0.88/1.22 7 product(a,c,u) # label(product_5) # label(negated_conjecture). [assumption].
% 0.88/1.22 8 product(b,c,u) # label(product_6) # label(negated_conjecture). [assumption].
% 0.88/1.22 10 -sum(additive_identity,c,additive_identity) # label(not_sum_7) # label(negated_conjecture). [assumption].
% 0.88/1.22 11 -product(multiplicative_identity,a,b) # label(not_product_8) # label(negated_conjecture). [assumption].
% 0.88/1.22 14 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 0.88/1.22 17 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 0.88/1.22 26 product(multiplicative_inverse(A),A,multiplicative_identity) | sum(additive_identity,A,additive_identity) | -defined(A) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 0.88/1.22 31 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 0.88/1.22 32 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 0.88/1.22 72 product(multiplicative_identity,b,b). [resolve(14,b,4,a)].
% 0.88/1.22 73 product(multiplicative_identity,a,a). [resolve(14,b,3,a)].
% 0.88/1.22 74 product(multiplicative_identity,multiplicative_identity,multiplicative_identity). [resolve(14,b,2,a)].
% 0.88/1.22 83 product(c,b,u). [resolve(17,b,8,a)].
% 0.88/1.22 84 product(c,a,u). [resolve(17,b,7,a)].
% 0.88/1.22 152 product(multiplicative_inverse(c),c,multiplicative_identity). [resolve(26,c,5,a),unit_del(b,10)].
% 0.88/1.22 513 -product(multiplicative_identity,b,a). [ur(31,a,11,a,b,74,a,d,72,a)].
% 0.88/1.22 2636 -product(multiplicative_inverse(c),u,a). [ur(32,a,513,a,b,152,a,c,83,a)].
% 0.88/1.22 5512 $F. [ur(31,a,2636,a,c,84,a,d,73,a),unit_del(a,152)].
% 0.88/1.22
% 0.88/1.22 % SZS output end Refutation
% 0.88/1.22 ============================== end of proof ==========================
% 0.88/1.22
% 0.88/1.22 ============================== STATISTICS ============================
% 0.88/1.22
% 0.88/1.22 Given=406. Generated=9285. Kept=5511. proofs=1.
% 0.88/1.22 Usable=396. Sos=5084. Demods=0. Limbo=0, Disabled=65. Hints=0.
% 0.88/1.22 Megabytes=2.78.
% 0.88/1.22 User_CPU=0.23, System_CPU=0.01, Wall_clock=0.
% 0.88/1.22
% 0.88/1.22 ============================== end of statistics =====================
% 0.88/1.22
% 0.88/1.22 ============================== end of search =========================
% 0.88/1.22
% 0.88/1.22 THEOREM PROVED
% 0.88/1.22 % SZS status Unsatisfiable
% 0.88/1.22
% 0.88/1.22 Exiting with 1 proof.
% 0.88/1.22
% 0.88/1.22 Process 7819 exit (max_proofs) Mon Jun 6 15:04:01 2022
% 0.88/1.22 Prover9 interrupted
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