TSTP Solution File: FLD041-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : FLD041-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 02:24:19 EDT 2022
% Result : Unsatisfiable 1.00s 1.27s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : FLD041-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 6 22:23:39 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.00/1.27 ============================== Prover9 ===============================
% 1.00/1.27 Prover9 (32) version 2009-11A, November 2009.
% 1.00/1.27 Process 14944 was started by sandbox on n027.cluster.edu,
% 1.00/1.27 Mon Jun 6 22:23:40 2022
% 1.00/1.27 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14791_n027.cluster.edu".
% 1.00/1.27 ============================== end of head ===========================
% 1.00/1.27
% 1.00/1.27 ============================== INPUT =================================
% 1.00/1.27
% 1.00/1.27 % Reading from file /tmp/Prover9_14791_n027.cluster.edu
% 1.00/1.27
% 1.00/1.27 set(prolog_style_variables).
% 1.00/1.27 set(auto2).
% 1.00/1.27 % set(auto2) -> set(auto).
% 1.00/1.27 % set(auto) -> set(auto_inference).
% 1.00/1.27 % set(auto) -> set(auto_setup).
% 1.00/1.27 % set(auto_setup) -> set(predicate_elim).
% 1.00/1.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.00/1.27 % set(auto) -> set(auto_limits).
% 1.00/1.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.00/1.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.00/1.27 % set(auto) -> set(auto_denials).
% 1.00/1.27 % set(auto) -> set(auto_process).
% 1.00/1.27 % set(auto2) -> assign(new_constants, 1).
% 1.00/1.27 % set(auto2) -> assign(fold_denial_max, 3).
% 1.00/1.27 % set(auto2) -> assign(max_weight, "200.000").
% 1.00/1.27 % set(auto2) -> assign(max_hours, 1).
% 1.00/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.00/1.27 % set(auto2) -> assign(max_seconds, 0).
% 1.00/1.27 % set(auto2) -> assign(max_minutes, 5).
% 1.00/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.00/1.27 % set(auto2) -> set(sort_initial_sos).
% 1.00/1.27 % set(auto2) -> assign(sos_limit, -1).
% 1.00/1.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.00/1.27 % set(auto2) -> assign(max_megs, 400).
% 1.00/1.27 % set(auto2) -> assign(stats, some).
% 1.00/1.27 % set(auto2) -> clear(echo_input).
% 1.00/1.27 % set(auto2) -> set(quiet).
% 1.00/1.27 % set(auto2) -> clear(print_initial_clauses).
% 1.00/1.27 % set(auto2) -> clear(print_given).
% 1.00/1.27 assign(lrs_ticks,-1).
% 1.00/1.27 assign(sos_limit,10000).
% 1.00/1.27 assign(order,kbo).
% 1.00/1.27 set(lex_order_vars).
% 1.00/1.27 clear(print_given).
% 1.00/1.27
% 1.00/1.27 % formulas(sos). % not echoed (33 formulas)
% 1.00/1.27
% 1.00/1.27 ============================== end of input ==========================
% 1.00/1.27
% 1.00/1.27 % From the command line: assign(max_seconds, 300).
% 1.00/1.27
% 1.00/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.00/1.27
% 1.00/1.27 % Formulas that are not ordinary clauses:
% 1.00/1.27
% 1.00/1.27 ============================== end of process non-clausal formulas ===
% 1.00/1.27
% 1.00/1.27 ============================== PROCESS INITIAL CLAUSES ===============
% 1.00/1.27
% 1.00/1.27 ============================== PREDICATE ELIMINATION =================
% 1.00/1.27
% 1.00/1.27 ============================== end predicate elimination =============
% 1.00/1.27
% 1.00/1.27 Auto_denials: (non-Horn, no changes).
% 1.00/1.27
% 1.00/1.27 Term ordering decisions:
% 1.00/1.27 Function symbol KB weights: additive_identity=1. c=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 1.00/1.27
% 1.00/1.27 ============================== end of process initial clauses ========
% 1.00/1.27
% 1.00/1.27 ============================== CLAUSES FOR SEARCH ====================
% 1.00/1.27
% 1.00/1.27 ============================== end of clauses for search =============
% 1.00/1.27
% 1.00/1.27 ============================== SEARCH ================================
% 1.00/1.27
% 1.00/1.27 % Starting search at 0.01 seconds.
% 1.00/1.27
% 1.00/1.27 Low Water (keep): wt=18.000, iters=3413
% 1.00/1.27
% 1.00/1.27 Low Water (keep): wt=14.000, iters=3416
% 1.00/1.27
% 1.00/1.27 Low Water (keep): wt=13.000, iters=3440
% 1.00/1.27
% 1.00/1.27 ============================== PROOF =================================
% 1.00/1.27 % SZS status Unsatisfiable
% 1.00/1.27 % SZS output start Refutation
% 1.00/1.27
% 1.00/1.27 % Proof 1 at 0.22 (+ 0.01) seconds.
% 1.00/1.27 % Length of proof is 36.
% 1.00/1.27 % Level of proof is 7.
% 1.00/1.27 % Maximum clause weight is 20.000.
% 1.00/1.27 % Given clauses 321.
% 1.00/1.27
% 1.00/1.27 1 defined(additive_identity) # label(well_definedness_of_additive_identity) # label(axiom). [assumption].
% 1.00/1.27 3 defined(a) # label(a_is_defined) # label(hypothesis). [assumption].
% 1.00/1.27 4 defined(b) # label(b_is_defined) # label(hypothesis). [assumption].
% 1.00/1.27 5 defined(c) # label(c_is_defined) # label(hypothesis). [assumption].
% 1.00/1.27 6 product(a,b,c) # label(product_6) # label(negated_conjecture). [assumption].
% 1.00/1.27 7 sum(additive_identity,c,additive_identity) # label(sum_7) # label(negated_conjecture). [assumption].
% 1.00/1.27 9 -sum(additive_identity,a,additive_identity) # label(not_sum_4) # label(negated_conjecture). [assumption].
% 1.00/1.27 10 -sum(additive_identity,b,additive_identity) # label(not_sum_5) # label(negated_conjecture). [assumption].
% 1.00/1.27 12 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom). [assumption].
% 1.00/1.27 13 product(multiplicative_identity,A,A) | -defined(A) # label(existence_of_identity_multiplication) # label(axiom). [assumption].
% 1.00/1.27 14 sum(additive_inverse(A),A,additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom). [assumption].
% 1.00/1.27 16 product(A,B,C) | -product(B,A,C) # label(commutativity_multiplication) # label(axiom). [assumption].
% 1.00/1.27 25 product(multiplicative_inverse(A),A,multiplicative_identity) | sum(additive_identity,A,additive_identity) | -defined(A) # label(existence_of_inverse_multiplication) # label(axiom). [assumption].
% 1.00/1.27 29 sum(A,B,C) | -sum(D,E,A) | -sum(E,B,F) | -sum(D,F,C) # label(associativity_addition_2) # label(axiom). [assumption].
% 1.00/1.27 30 product(A,B,C) | -product(A,D,E) | -product(D,F,B) | -product(E,F,C) # label(associativity_multiplication_1) # label(axiom). [assumption].
% 1.00/1.27 32 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].
% 1.00/1.27 33 product(A,B,C) | -sum(D,E,A) | -product(D,B,F) | -product(E,B,V6) | -sum(F,V6,C) # label(distributivity_2) # label(axiom). [assumption].
% 1.00/1.27 44 sum(A,B,A) | -sum(C,D,A) | -sum(D,B,D). [factor(29,b,d)].
% 1.00/1.27 50 sum(A,B,A) | -sum(C,D,C) | -product(C,E,A) | -product(D,E,B). [factor(32,c,d)].
% 1.00/1.27 55 sum(A,A,A) | -sum(B,B,B) | -product(B,C,A). [factor(50,c,d)].
% 1.00/1.27 62 sum(additive_identity,c,c). [resolve(12,b,5,a)].
% 1.00/1.27 66 sum(additive_identity,additive_identity,additive_identity). [resolve(12,b,1,a)].
% 1.00/1.27 67 product(multiplicative_identity,c,c). [resolve(13,b,5,a)].
% 1.00/1.27 68 product(multiplicative_identity,b,b). [resolve(13,b,4,a)].
% 1.00/1.27 71 product(multiplicative_identity,additive_identity,additive_identity). [resolve(13,b,1,a)].
% 1.00/1.27 73 sum(additive_inverse(b),b,additive_identity). [resolve(14,b,4,a)].
% 1.00/1.27 135 product(multiplicative_inverse(a),a,multiplicative_identity). [resolve(25,c,3,a),unit_del(b,9)].
% 1.00/1.27 460 product(c,multiplicative_identity,c). [resolve(67,a,16,b)].
% 1.00/1.27 485 product(b,multiplicative_identity,b). [resolve(68,a,16,b)].
% 1.00/1.27 562 product(additive_identity,multiplicative_identity,additive_identity). [resolve(71,a,16,b)].
% 1.00/1.27 716 -sum(b,b,b). [ur(44,a,10,a,b,73,a)].
% 1.00/1.27 1320 -product(additive_identity,A,b). [ur(55,a,716,a,b,66,a)].
% 1.00/1.27 1895 -product(A,additive_identity,b). [ur(16,a,1320,a)].
% 1.00/1.27 2448 -product(a,b,additive_identity). [ur(30,a,1895,a,b,135,a,d,68,a)].
% 1.00/1.27 3682 -product(c,multiplicative_identity,additive_identity). [ur(30,a,2448,a,b,6,a,c,485,a)].
% 1.00/1.27 4446 $F. [ur(33,a,3682,a,c,562,a,d,460,a,e,7,a),unit_del(a,62)].
% 1.00/1.27
% 1.00/1.27 % SZS output end Refutation
% 1.00/1.27 ============================== end of proof ==========================
% 1.00/1.27
% 1.00/1.27 ============================== STATISTICS ============================
% 1.00/1.27
% 1.00/1.27 Given=321. Generated=7455. Kept=4445. proofs=1.
% 1.00/1.27 Usable=305. Sos=4092. Demods=0. Limbo=1, Disabled=80. Hints=0.
% 1.00/1.27 Megabytes=2.33.
% 1.00/1.27 User_CPU=0.22, System_CPU=0.01, Wall_clock=0.
% 1.00/1.27
% 1.00/1.27 ============================== end of statistics =====================
% 1.00/1.27
% 1.00/1.27 ============================== end of search =========================
% 1.00/1.27
% 1.00/1.27 THEOREM PROVED
% 1.00/1.27 % SZS status Unsatisfiable
% 1.00/1.27
% 1.00/1.27 Exiting with 1 proof.
% 1.00/1.27
% 1.00/1.27 Process 14944 exit (max_proofs) Mon Jun 6 22:23:40 2022
% 1.00/1.27 Prover9 interrupted
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