TSTP Solution File: FLD034-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 0.41s 0.98s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n021.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 04:15:51 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.41/0.98 ============================== Prover9 ===============================
% 0.41/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.98 Process 28372 was started by sandbox2 on n021.cluster.edu,
% 0.41/0.98 Tue Jun 7 04:15:51 2022
% 0.41/0.98 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28062_n021.cluster.edu".
% 0.41/0.98 ============================== end of head ===========================
% 0.41/0.98
% 0.41/0.98 ============================== INPUT =================================
% 0.41/0.98
% 0.41/0.98 % Reading from file /tmp/Prover9_28062_n021.cluster.edu
% 0.41/0.98
% 0.41/0.98 set(prolog_style_variables).
% 0.41/0.98 set(auto2).
% 0.41/0.98 % set(auto2) -> set(auto).
% 0.41/0.98 % set(auto) -> set(auto_inference).
% 0.41/0.98 % set(auto) -> set(auto_setup).
% 0.41/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.41/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.98 % set(auto) -> set(auto_limits).
% 0.41/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.98 % set(auto) -> set(auto_denials).
% 0.41/0.98 % set(auto) -> set(auto_process).
% 0.41/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.41/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.41/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.41/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.41/0.98 % set(auto2) -> assign(stats, some).
% 0.41/0.98 % set(auto2) -> clear(echo_input).
% 0.41/0.98 % set(auto2) -> set(quiet).
% 0.41/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.98 % set(auto2) -> clear(print_given).
% 0.41/0.98 assign(lrs_ticks,-1).
% 0.41/0.98 assign(sos_limit,10000).
% 0.41/0.98 assign(order,kbo).
% 0.41/0.98 set(lex_order_vars).
% 0.41/0.98 clear(print_given).
% 0.41/0.98
% 0.41/0.98 % formulas(sos). % not echoed (30 formulas)
% 0.41/0.98
% 0.41/0.98 ============================== end of input ==========================
% 0.41/0.98
% 0.41/0.98 % From the command line: assign(max_seconds, 300).
% 0.41/0.98
% 0.41/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.98
% 0.41/0.98 % Formulas that are not ordinary clauses:
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% 0.41/0.98 ============================== end of process non-clausal formulas ===
% 0.41/0.98
% 0.41/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.98
% 0.41/0.98 ============================== PREDICATE ELIMINATION =================
% 0.41/0.98
% 0.41/0.98 ============================== end predicate elimination =============
% 0.41/0.98
% 0.41/0.98 Auto_denials: (non-Horn, no changes).
% 0.41/0.98
% 0.41/0.98 Term ordering decisions:
% 0.41/0.98 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. m=1. a=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.41/0.98
% 0.41/0.98 ============================== end of process initial clauses ========
% 0.41/0.98
% 0.41/0.98 ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.98
% 0.41/0.98 ============================== end of clauses for search =============
% 0.41/0.98
% 0.41/0.98 ============================== SEARCH ================================
% 0.41/0.98
% 0.41/0.98 % Starting search at 0.01 seconds.
% 0.41/0.98
% 0.41/0.98 ============================== PROOF =================================
% 0.41/0.98 % SZS status Unsatisfiable
% 0.41/0.98 % SZS output start Refutation
% 0.41/0.98
% 0.41/0.98 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.41/0.98 % Length of proof is 12.
% 0.41/0.98 % Level of proof is 4.
% 0.41/0.98 % Maximum clause weight is 16.000.
% 0.41/0.98 % Given clauses 57.
% 0.41/0.98
% 0.41/0.98 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.41/0.98 5 product(multiplicative_identity,m,multiplicative_identity) # label(product_3) # label(negated_conjecture). [assumption].
% 0.41/0.98 7 -product(m,a,a) # label(not_product_4) # label(negated_conjecture). [assumption].
% 0.41/0.98 10 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 0.41/0.98 13 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 0.41/0.98 28 product(A,B,C) | -product(D,E,A) | -product(E,B,F) | -product(D,F,C) # label(associativity_multiplication_2) # label(axiom). [assumption].
% 0.41/0.98 45 product(A,B,A) | -product(C,D,A) | -product(D,B,D). [factor(28,b,d)].
% 0.41/0.98 63 product(multiplicative_identity,a,a). [resolve(10,b,3,a)].
% 0.41/0.98 71 -product(a,m,a). [ur(13,a,7,a)].
% 0.41/0.98 179 -product(A,multiplicative_identity,a). [ur(45,a,71,a,c,5,a)].
% 0.41/0.98 180 -product(multiplicative_identity,A,a). [ur(13,a,179,a)].
% 0.41/0.98 181 $F. [resolve(180,a,63,a)].
% 0.41/0.98
% 0.41/0.98 % SZS output end Refutation
% 0.41/0.98 ============================== end of proof ==========================
% 0.41/0.98
% 0.41/0.98 ============================== STATISTICS ============================
% 0.41/0.98
% 0.41/0.98 Given=57. Generated=225. Kept=180. proofs=1.
% 0.41/0.98 Usable=57. Sos=122. Demods=0. Limbo=0, Disabled=30. Hints=0.
% 0.41/0.98 Megabytes=0.15.
% 0.41/0.98 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.41/0.98
% 0.41/0.98 ============================== end of statistics =====================
% 0.41/0.98
% 0.41/0.98 ============================== end of search =========================
% 0.41/0.98
% 0.41/0.98 THEOREM PROVED
% 0.41/0.98 % SZS status Unsatisfiable
% 0.41/0.98
% 0.41/0.98 Exiting with 1 proof.
% 0.41/0.98
% 0.41/0.98 Process 28372 exit (max_proofs) Tue Jun 7 04:15:51 2022
% 0.41/0.98 Prover9 interrupted
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