TSTP Solution File: FLD018-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 02:24:11 EDT 2022
% Result : Unsatisfiable 0.71s 1.00s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.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 23:15:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.00 ============================== Prover9 ===============================
% 0.71/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.71/1.00 Process 2979 was started by sandbox on n028.cluster.edu,
% 0.71/1.00 Mon Jun 6 23:15:30 2022
% 0.71/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2826_n028.cluster.edu".
% 0.71/1.00 ============================== end of head ===========================
% 0.71/1.00
% 0.71/1.00 ============================== INPUT =================================
% 0.71/1.00
% 0.71/1.00 % Reading from file /tmp/Prover9_2826_n028.cluster.edu
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% 0.71/1.00 set(prolog_style_variables).
% 0.71/1.00 set(auto2).
% 0.71/1.00 % set(auto2) -> set(auto).
% 0.71/1.00 % set(auto) -> set(auto_inference).
% 0.71/1.00 % set(auto) -> set(auto_setup).
% 0.71/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.71/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/1.00 % set(auto) -> set(auto_limits).
% 0.71/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/1.00 % set(auto) -> set(auto_denials).
% 0.71/1.00 % set(auto) -> set(auto_process).
% 0.71/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.71/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.71/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.71/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.71/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.71/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.71/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.71/1.00 % set(auto2) -> assign(stats, some).
% 0.71/1.00 % set(auto2) -> clear(echo_input).
% 0.71/1.00 % set(auto2) -> set(quiet).
% 0.71/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.71/1.00 % set(auto2) -> clear(print_given).
% 0.71/1.00 assign(lrs_ticks,-1).
% 0.71/1.00 assign(sos_limit,10000).
% 0.71/1.00 assign(order,kbo).
% 0.71/1.00 set(lex_order_vars).
% 0.71/1.00 clear(print_given).
% 0.71/1.00
% 0.71/1.00 % formulas(sos). % not echoed (29 formulas)
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% 0.71/1.00 ============================== end of input ==========================
% 0.71/1.00
% 0.71/1.00 % From the command line: assign(max_seconds, 300).
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% 0.71/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/1.00
% 0.71/1.00 % Formulas that are not ordinary clauses:
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% 0.71/1.00 ============================== end of process non-clausal formulas ===
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% 0.71/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.71/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.71/1.00 ============================== end predicate elimination =============
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% 0.71/1.00 Auto_denials: (non-Horn, no changes).
% 0.71/1.00
% 0.71/1.00 Term ordering decisions:
% 0.71/1.00 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. a=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.71/1.00
% 0.71/1.00 ============================== end of process initial clauses ========
% 0.71/1.00
% 0.71/1.00 ============================== CLAUSES FOR SEARCH ====================
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% 0.71/1.00 ============================== end of clauses for search =============
% 0.71/1.00
% 0.71/1.00 ============================== SEARCH ================================
% 0.71/1.00
% 0.71/1.00 % Starting search at 0.01 seconds.
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% 0.71/1.00 ============================== PROOF =================================
% 0.71/1.00 % SZS status Unsatisfiable
% 0.71/1.00 % SZS output start Refutation
% 0.71/1.00
% 0.71/1.00 % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.71/1.00 % Length of proof is 13.
% 0.71/1.00 % Level of proof is 2.
% 0.71/1.00 % Maximum clause weight is 16.000.
% 0.71/1.00 % Given clauses 75.
% 0.71/1.00
% 0.71/1.00 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 0.71/1.00 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 0.71/1.00 4 sum(additive_identity,a,additive_identity) # label(sum_2) # label(negated_conjecture). [assumption].
% 0.71/1.00 6 -sum(additive_identity,additive_inverse(a),additive_identity) # label(not_sum_3) # label(negated_conjecture). [assumption].
% 0.71/1.00 8 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 0.71/1.00 10 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 0.71/1.00 11 sum(A,B,C) | -sum(B,A,C) # label(commutativity_addition) # label(axiom). [assumption].
% 0.71/1.00 24 sum(A,B,C) | -sum(A,D,E) | -sum(D,F,B) | -sum(E,F,C) # label(associativity_addition_1) # label(axiom). [assumption].
% 0.71/1.00 58 sum(additive_identity,additive_identity,additive_identity). [resolve(8,b,1,a)].
% 0.71/1.00 62 sum(additive_inverse(a),a,additive_identity). [resolve(10,b,3,a)].
% 0.71/1.00 65 sum(a,additive_identity,additive_identity). [resolve(11,b,4,a)].
% 0.71/1.00 66 -sum(additive_inverse(a),additive_identity,additive_identity). [ur(11,a,6,a)].
% 0.71/1.00 341 $F. [ur(24,a,66,a,c,65,a,d,58,a),unit_del(a,62)].
% 0.71/1.00
% 0.71/1.00 % SZS output end Refutation
% 0.71/1.00 ============================== end of proof ==========================
% 0.71/1.00
% 0.71/1.00 ============================== STATISTICS ============================
% 0.71/1.00
% 0.71/1.00 Given=75. Generated=548. Kept=340. proofs=1.
% 0.71/1.00 Usable=75. Sos=251. Demods=0. Limbo=12, Disabled=31. Hints=0.
% 0.71/1.00 Megabytes=0.24.
% 0.71/1.00 User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.71/1.00
% 0.71/1.00 ============================== end of statistics =====================
% 0.71/1.00
% 0.71/1.00 ============================== end of search =========================
% 0.71/1.00
% 0.71/1.00 THEOREM PROVED
% 0.71/1.00 % SZS status Unsatisfiable
% 0.71/1.00
% 0.71/1.00 Exiting with 1 proof.
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% 0.71/1.00 Process 2979 exit (max_proofs) Mon Jun 6 23:15:30 2022
% 0.71/1.00 Prover9 interrupted
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