TSTP Solution File: KLE014+2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : KLE014+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 02:21:43 EDT 2022
% Result : Timeout 300.04s 300.28s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE014+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n006.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 : Thu Jun 16 11:06:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/1.03 ============================== Prover9 ===============================
% 0.76/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.03 Process 31887 was started by sandbox2 on n006.cluster.edu,
% 0.76/1.03 Thu Jun 16 11:06:26 2022
% 0.76/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31716_n006.cluster.edu".
% 0.76/1.03 ============================== end of head ===========================
% 0.76/1.03
% 0.76/1.03 ============================== INPUT =================================
% 0.76/1.03
% 0.76/1.03 % Reading from file /tmp/Prover9_31716_n006.cluster.edu
% 0.76/1.03
% 0.76/1.03 set(prolog_style_variables).
% 0.76/1.03 set(auto2).
% 0.76/1.03 % set(auto2) -> set(auto).
% 0.76/1.03 % set(auto) -> set(auto_inference).
% 0.76/1.03 % set(auto) -> set(auto_setup).
% 0.76/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.03 % set(auto) -> set(auto_limits).
% 0.76/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.03 % set(auto) -> set(auto_denials).
% 0.76/1.03 % set(auto) -> set(auto_process).
% 0.76/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.03 % set(auto2) -> assign(stats, some).
% 0.76/1.03 % set(auto2) -> clear(echo_input).
% 0.76/1.03 % set(auto2) -> set(quiet).
% 0.76/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.03 % set(auto2) -> clear(print_given).
% 0.76/1.03 assign(lrs_ticks,-1).
% 0.76/1.03 assign(sos_limit,10000).
% 0.76/1.03 assign(order,kbo).
% 0.76/1.03 set(lex_order_vars).
% 0.76/1.03 clear(print_given).
% 0.76/1.03
% 0.76/1.03 % formulas(sos). % not echoed (17 formulas)
% 0.76/1.03
% 0.76/1.03 ============================== end of input ==========================
% 0.76/1.03
% 0.76/1.03 % From the command line: assign(max_seconds, 300).
% 0.76/1.03
% 0.76/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.03
% 0.76/1.03 % Formulas that are not ordinary clauses:
% 0.76/1.03 1 (all A all B addition(A,B) = addition(B,A)) # label(additive_commutativity) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 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].
% 0.76/1.03 3 (all A addition(A,zero) = A) # label(additive_identity) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 4 (all A addition(A,A) = A) # label(additive_idempotence) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 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].
% 0.76/1.03 6 (all A multiplication(A,one) = A) # label(multiplicative_right_identity) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 7 (all A multiplication(one,A) = A) # label(multiplicative_left_identity) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 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].
% 0.76/1.03 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].
% 0.76/1.03 10 (all A multiplication(A,zero) = zero) # label(right_annihilation) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 11 (all A multiplication(zero,A) = zero) # label(left_annihilation) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 12 (all A all B (leq(A,B) <-> addition(A,B) = B)) # label(order) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 13 (all X0 (test(X0) <-> (exists X1 complement(X1,X0)))) # label(test_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 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].
% 2.77/3.14 15 (all X0 all X1 (test(X0) -> (c(X0) = X1 <-> complement(X0,X1)))) # label(test_3) # label(axiom) # label(non_clause). [assumption].
% 2.77/3.14 16 (all X0 (-test(X0) -> c(X0) = zero)) # label(test_4) # label(axiom) # label(non_clause). [assumption].
% 2.77/3.14 17 -(all X0 all X1 (test(X1) & test(X0) -> c(addition(X0,X1)) = multiplication(c(X0),c(X1)))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 2.77/3.14
% 2.77/3.14 ============================== end of process non-clausal formulas ===
% 2.77/3.14
% 2.77/3.14 ============================== PROCESS INITIAL CLAUSES ===============
% 2.77/3.14
% 2.77/3.14 ============================== PREDICATE ELIMINATION =================
% 2.77/3.14 18 -test(A) | complement(f1(A),A) # label(test_1) # label(axiom). [clausify(13)].
% 2.77/3.14 19 test(c2) # label(goals) # label(negated_conjecture). [clausify(17)].
% 2.77/3.14 20 test(c1) # label(goals) # label(negated_conjecture). [clausify(17)].
% 2.77/3.14 21 test(A) | c(A) = zero # label(test_4) # label(axiom). [clausify(16)].
% 2.77/3.14 22 test(A) | -complement(B,A) # label(test_1) # label(axiom). [clausify(13)].
% 2.77/3.14 Derived: complement(f1(c2),c2). [resolve(18,a,19,a)].
% 2.77/3.14 Derived: complement(f1(c1),c1). [resolve(18,a,20,a)].
% 2.77/3.14 Derived: complement(f1(A),A) | c(A) = zero. [resolve(18,a,21,a)].
% 2.77/3.14 Derived: complement(f1(A),A) | -complement(B,A). [resolve(18,a,22,a)].
% 2.77/3.14 23 -test(A) | c(A) != B | complement(A,B) # label(test_3) # label(axiom). [clausify(15)].
% 2.77/3.14 Derived: c(c2) != A | complement(c2,A). [resolve(23,a,19,a)].
% 2.77/3.14 Derived: c(c1) != A | complement(c1,A). [resolve(23,a,20,a)].
% 2.77/3.14 Derived: c(A) != B | complement(A,B) | c(A) = zero. [resolve(23,a,21,a)].
% 2.77/3.14 Derived: c(A) != B | complement(A,B) | -complement(C,A). [resolve(23,a,22,a)].
% 2.77/3.14 24 -test(A) | c(A) = B | -complement(A,B) # label(test_3) # label(axiom). [clausify(15)].
% 2.77/3.14 Derived: c(c2) = A | -complement(c2,A). [resolve(24,a,19,a)].
% 2.77/3.14 Derived: c(c1) = A | -complement(c1,A). [resolve(24,a,20,a)].
% 2.77/3.14 Derived: c(A) = B | -complement(A,B) | c(A) = zero. [resolve(24,a,21,a)].
% 2.77/3.14 Derived: c(A) = B | -complement(A,B) | -complement(C,A). [resolve(24,a,22,a)].
% 2.77/3.14 25 leq(A,B) | addition(A,B) != B # label(order) # label(axiom). [clausify(12)].
% 2.77/3.14 26 -leq(A,B) | addition(A,B) = B # label(order) # label(axiom). [clausify(12)].
% 2.77/3.14
% 2.77/3.14 ============================== end predicate elimination =============
% 2.77/3.14
% 2.77/3.14 Auto_denials: (non-Horn, no changes).
% 2.77/3.14
% 2.77/3.14 Term ordering decisions:
% 2.77/3.14 Function symbol KB weights: zero=1. one=1. c1=1. c2=1. multiplication=1. addition=1. c=1. f1=1.
% 2.77/3.14
% 2.77/3.14 ============================== end of process initial clauses ========
% 2.77/3.14
% 2.77/3.14 ============================== CLAUSES FOR SEARCH ====================
% 2.77/3.14
% 2.77/3.14 ============================== end of clauses for search =============
% 2.77/3.14
% 2.77/3.14 ============================== SEARCH ================================
% 2.77/3.14
% 2.77/3.14 % Starting search at 0.01 seconds.
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=82.000, iters=3367
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% 2.77/3.14 Low Water (keep): wt=74.000, iters=3466
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% 2.77/3.14 Low Water (keep): wt=68.000, iters=3436
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% 2.77/3.14 Low Water (keep): wt=67.000, iters=3381
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=64.000, iters=3361
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=60.000, iters=3424
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=58.000, iters=3366
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=54.000, iters=3485
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% 2.77/3.14 Low Water (keep): wt=53.000, iters=3420
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% 2.77/3.14 Low Water (keep): wt=52.000, iters=3417
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% 2.77/3.14 Low Water (keep): wt=48.000, iters=3350
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% 2.77/3.14 Low Water (keep): wt=46.000, iters=3339
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=44.000, iters=3340
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=42.000, iters=3343
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% 2.77/3.14 Low Water (keep): wt=40.000, iters=3346
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% 2.77/3.14 Low Water (keep): wt=39.000, iters=3362
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% 2.77/3.14 Low Water (keep): wt=37.000, iters=3342
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% 2.77/3.14 Low Water (keep): wt=36.000, iters=3393
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% 2.77/3.14 Low Water (keep): wt=35.000, iters=3384
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% 2.77/3.14 Low Water (keep): wt=34.000, iters=3343
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=33.000, iters=3360
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=32.000, iters=3342
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% 2.77/3.14 Low Water (keep): wt=31.000, iters=3360
% 2.77/3.14
% 2.77/3.14 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 94 (0.00 of 1.65 sec).
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=30.000, iters=3402
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=29.000, iters=3385
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=28.000, iters=3355
% 2.77/3.14
% 2.77/3.14 Low Water (keep): wt=27.000, iters=3461
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% 2.77/3.14 Low Water (keep): wt=26.000, iters=3343
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% 2.77/3.14 Low Water (keep): wt=25.000, iters=3359
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% 2.77/3.14 Low Water (keep): wt=24.000, iters=3333
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% 2.77/3.14 Low Water (dispCputime limit exceeded (core dumped)
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