TSTP Solution File: KLE020+2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : KLE020+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 : Sun Jul 17 02:21:45 EDT 2022
% Result : Timeout 300.09s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE020+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 12:39:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.45/1.04 ============================== Prover9 ===============================
% 0.45/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.04 Process 31077 was started by sandbox on n013.cluster.edu,
% 0.45/1.04 Thu Jun 16 12:39:29 2022
% 0.45/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30917_n013.cluster.edu".
% 0.45/1.04 ============================== end of head ===========================
% 0.45/1.04
% 0.45/1.04 ============================== INPUT =================================
% 0.45/1.04
% 0.45/1.04 % Reading from file /tmp/Prover9_30917_n013.cluster.edu
% 0.45/1.04
% 0.45/1.04 set(prolog_style_variables).
% 0.45/1.04 set(auto2).
% 0.45/1.04 % set(auto2) -> set(auto).
% 0.45/1.04 % set(auto) -> set(auto_inference).
% 0.45/1.04 % set(auto) -> set(auto_setup).
% 0.45/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.04 % set(auto) -> set(auto_limits).
% 0.45/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.04 % set(auto) -> set(auto_denials).
% 0.45/1.04 % set(auto) -> set(auto_process).
% 0.45/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.04 % set(auto2) -> assign(stats, some).
% 0.45/1.04 % set(auto2) -> clear(echo_input).
% 0.45/1.04 % set(auto2) -> set(quiet).
% 0.45/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.04 % set(auto2) -> clear(print_given).
% 0.45/1.04 assign(lrs_ticks,-1).
% 0.45/1.04 assign(sos_limit,10000).
% 0.45/1.04 assign(order,kbo).
% 0.45/1.04 set(lex_order_vars).
% 0.45/1.04 clear(print_given).
% 0.45/1.04
% 0.45/1.04 % formulas(sos). % not echoed (17 formulas)
% 0.45/1.04
% 0.45/1.04 ============================== end of input ==========================
% 0.45/1.04
% 0.45/1.04 % From the command line: assign(max_seconds, 300).
% 0.45/1.04
% 0.45/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.04
% 0.45/1.04 % Formulas that are not ordinary clauses:
% 0.45/1.04 1 (all A all B addition(A,B) = addition(B,A)) # label(additive_commutativity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 2 (all C all B all A addition(A,addition(B,C)) = addition(addition(A,B),C)) # label(additive_associativity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 3 (all A addition(A,zero) = A) # label(additive_identity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 4 (all A addition(A,A) = A) # label(additive_idempotence) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 5 (all A all B all C multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C)) # label(multiplicative_associativity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 6 (all A multiplication(A,one) = A) # label(multiplicative_right_identity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 7 (all A multiplication(one,A) = A) # label(multiplicative_left_identity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 8 (all A all B all C multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C))) # label(right_distributivity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 9 (all A all B all C multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C))) # label(left_distributivity) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 10 (all A multiplication(A,zero) = zero) # label(right_annihilation) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 11 (all A multiplication(zero,A) = zero) # label(left_annihilation) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 12 (all A all B (leq(A,B) <-> addition(A,B) = B)) # label(order) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 13 (all X0 (test(X0) <-> (exists X1 complement(X1,X0)))) # label(test_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 14 (all X0 all X1 (complement(X1,X0) <-> multiplication(X0,X1) = zero & multiplication(X1,X0) = zero & addition(X0,X1) = one)) # label(test_2) # label(axiom) # label(non_clause). [assumption].
% 2.63/2.94 15 (all X0 all X1 (test(X0) -> (c(X0) = X1 <-> complement(X0,X1)))) # label(test_3) # label(axiom) # label(non_clause). [assumption].
% 2.63/2.94 16 (all X0 (-test(X0) -> c(X0) = zero)) # label(test_4) # label(axiom) # label(non_clause). [assumption].
% 2.63/2.94 17 -(all X0 all X1 all X2 (test(X0) & test(X1) & test(X2) -> leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2))) & leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2))))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 2.63/2.94
% 2.63/2.94 ============================== end of process non-clausal formulas ===
% 2.63/2.94
% 2.63/2.94 ============================== PROCESS INITIAL CLAUSES ===============
% 2.63/2.94
% 2.63/2.94 ============================== PREDICATE ELIMINATION =================
% 2.63/2.94 18 -test(A) | complement(f1(A),A) # label(test_1) # label(axiom). [clausify(13)].
% 2.63/2.94 19 test(c1) # label(goals) # label(negated_conjecture). [clausify(17)].
% 2.63/2.94 20 test(c2) # label(goals) # label(negated_conjecture). [clausify(17)].
% 2.63/2.94 21 test(c3) # label(goals) # label(negated_conjecture). [clausify(17)].
% 2.63/2.94 22 test(A) | c(A) = zero # label(test_4) # label(axiom). [clausify(16)].
% 2.63/2.94 23 test(A) | -complement(B,A) # label(test_1) # label(axiom). [clausify(13)].
% 2.63/2.94 Derived: complement(f1(c1),c1). [resolve(18,a,19,a)].
% 2.63/2.94 Derived: complement(f1(c2),c2). [resolve(18,a,20,a)].
% 2.63/2.94 Derived: complement(f1(c3),c3). [resolve(18,a,21,a)].
% 2.63/2.94 Derived: complement(f1(A),A) | c(A) = zero. [resolve(18,a,22,a)].
% 2.63/2.94 Derived: complement(f1(A),A) | -complement(B,A). [resolve(18,a,23,a)].
% 2.63/2.94 24 -test(A) | c(A) != B | complement(A,B) # label(test_3) # label(axiom). [clausify(15)].
% 2.63/2.94 Derived: c(c1) != A | complement(c1,A). [resolve(24,a,19,a)].
% 2.63/2.94 Derived: c(c2) != A | complement(c2,A). [resolve(24,a,20,a)].
% 2.63/2.94 Derived: c(c3) != A | complement(c3,A). [resolve(24,a,21,a)].
% 2.63/2.94 Derived: c(A) != B | complement(A,B) | c(A) = zero. [resolve(24,a,22,a)].
% 2.63/2.94 Derived: c(A) != B | complement(A,B) | -complement(C,A). [resolve(24,a,23,a)].
% 2.63/2.94 25 -test(A) | c(A) = B | -complement(A,B) # label(test_3) # label(axiom). [clausify(15)].
% 2.63/2.94 Derived: c(c1) = A | -complement(c1,A). [resolve(25,a,19,a)].
% 2.63/2.94 Derived: c(c2) = A | -complement(c2,A). [resolve(25,a,20,a)].
% 2.63/2.94 Derived: c(c3) = A | -complement(c3,A). [resolve(25,a,21,a)].
% 2.63/2.94 Derived: c(A) = B | -complement(A,B) | c(A) = zero. [resolve(25,a,22,a)].
% 2.63/2.94 Derived: c(A) = B | -complement(A,B) | -complement(C,A). [resolve(25,a,23,a)].
% 2.63/2.94
% 2.63/2.94 ============================== end predicate elimination =============
% 2.63/2.94
% 2.63/2.94 Auto_denials: (non-Horn, no changes).
% 2.63/2.94
% 2.63/2.94 Term ordering decisions:
% 2.63/2.94 Function symbol KB weights: zero=1. one=1. c1=1. c2=1. c3=1. multiplication=1. addition=1. c=1. f1=1.
% 2.63/2.94
% 2.63/2.94 ============================== end of process initial clauses ========
% 2.63/2.94
% 2.63/2.94 ============================== CLAUSES FOR SEARCH ====================
% 2.63/2.94
% 2.63/2.94 ============================== end of clauses for search =============
% 2.63/2.94
% 2.63/2.94 ============================== SEARCH ================================
% 2.63/2.94
% 2.63/2.94 % Starting search at 0.01 seconds.
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=68.000, iters=3503
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=60.000, iters=3371
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=54.000, iters=3368
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=48.000, iters=3475
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=46.000, iters=3369
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=42.000, iters=3359
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=40.000, iters=3345
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=38.000, iters=3337
% 2.63/2.94
% 2.63/2.94 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 70 (0.00 of 1.23 sec).
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=36.000, iters=3358
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=35.000, iters=3356
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% 2.63/2.94 Low Water (keep): wt=34.000, iters=3368
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=33.000, iters=3345
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=32.000, iters=3348
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% 2.63/2.94 Low Water (keep): wt=31.000, iters=3342
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=30.000, iters=3343
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% 2.63/2.94 Low Water (keep): wt=29.000, iters=3387
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=28.000, iters=3380
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=27.000, iters=3354
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=26.000, iters=3358
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=25.000, iters=3366
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% 2.63/2.94 Low Water (keep): wt=24.000, iters=3333
% 2.63/2.94
% 2.63/2.94 Low Water (keep): wt=23.000, iters=3390
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% 2.63/2.94 Low Water (keep): wt=22.000, iters=3355
% 2.63/2.94
% 2.63/2.94 Low Water (displace): id=5633, wt=107.000
% 2.63/2.94
% 2.63/2.94 Low Water (displCputime limit exceeded (core dumped)
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