TSTP Solution File: KLE179+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : KLE179+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : Sun Jul 17 02:22:39 EDT 2022
% Result : Timeout 300.01s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE179+1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.13 % 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 : Thu Jun 16 10:54:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.00 ============================== Prover9 ===============================
% 0.44/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.00 Process 1569 was started by sandbox on n028.cluster.edu,
% 0.44/1.00 Thu Jun 16 10:54:42 2022
% 0.44/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1414_n028.cluster.edu".
% 0.44/1.00 ============================== end of head ===========================
% 0.44/1.00
% 0.44/1.00 ============================== INPUT =================================
% 0.44/1.00
% 0.44/1.00 % Reading from file /tmp/Prover9_1414_n028.cluster.edu
% 0.44/1.00
% 0.44/1.00 set(prolog_style_variables).
% 0.44/1.00 set(auto2).
% 0.44/1.00 % set(auto2) -> set(auto).
% 0.44/1.00 % set(auto) -> set(auto_inference).
% 0.44/1.00 % set(auto) -> set(auto_setup).
% 0.44/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.00 % set(auto) -> set(auto_limits).
% 0.44/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.00 % set(auto) -> set(auto_denials).
% 0.44/1.00 % set(auto) -> set(auto_process).
% 0.44/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.00 % set(auto2) -> assign(stats, some).
% 0.44/1.00 % set(auto2) -> clear(echo_input).
% 0.44/1.00 % set(auto2) -> set(quiet).
% 0.44/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.00 % set(auto2) -> clear(print_given).
% 0.44/1.00 assign(lrs_ticks,-1).
% 0.44/1.00 assign(sos_limit,10000).
% 0.44/1.00 assign(order,kbo).
% 0.44/1.00 set(lex_order_vars).
% 0.44/1.00 clear(print_given).
% 0.44/1.00
% 0.44/1.00 % formulas(sos). % not echoed (26 formulas)
% 0.44/1.00
% 0.44/1.00 ============================== end of input ==========================
% 0.44/1.00
% 0.44/1.00 % From the command line: assign(max_seconds, 300).
% 0.44/1.00
% 0.44/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.00
% 0.44/1.00 % Formulas that are not ordinary clauses:
% 0.44/1.00 1 (all A all B addition(A,B) = addition(B,A)) # label(additive_commutativity) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 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].
% 0.44/1.00 3 (all A addition(A,zero) = A) # label(additive_identity) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 4 (all A addition(A,A) = A) # label(additive_idempotence) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 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].
% 0.44/1.00 6 (all A multiplication(A,one) = A) # label(multiplicative_right_identity) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 7 (all A multiplication(one,A) = A) # label(multiplicative_left_identity) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 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].
% 0.44/1.00 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].
% 0.44/1.00 10 (all A multiplication(A,zero) = zero) # label(right_annihilation) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 11 (all A multiplication(zero,A) = zero) # label(left_annihilation) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 12 (all A all B (leq(A,B) <-> addition(A,B) = B)) # label(order) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 13 (all A leq(addition(one,multiplication(A,star(A))),star(A))) # label(star_unfold_right) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 14 (all A leq(addition(one,multiplication(star(A),A)),star(A))) # label(star_unfold_left) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 15 (all A all B all C (leq(addition(multiplication(A,B),C),B) -> leq(multiplication(star(A),C),B))) # label(star_induction_left) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 16 (all A all B all C (leq(addition(multiplication(A,B),C),A) -> leq(multiplication(C,star(B)),A))) # label(star_induction_right) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 17 (all A multiplication(A,omega(A)) = omega(A)) # label(omega_unfold) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 18 (all A all B all C (leq(A,addition(multiplication(B,A),C)) -> leq(A,addition(omega(B),multiplication(star(B),C))))) # label(omega_co_induction) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 19 (all X0 (test(X0) <-> (exists X1 complement(X1,X0)))) # label(test_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 20 (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].
% 0.44/1.00 21 (all X0 all X1 (test(X0) -> (c(X0) = X1 <-> complement(X0,X1)))) # label(test_3) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 22 (all X0 (-test(X0) -> c(X0) = zero)) # label(test_4) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 23 (all X0 all X1 (test(X0) & test(X1) -> c(addition(X0,X1)) = multiplication(c(X0),c(X1)))) # label(test_deMorgan1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 24 (all X0 all X1 (test(X0) & test(X1) -> c(multiplication(X0,X1)) = addition(c(X0),c(X1)))) # label(test_deMorgan2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 25 (all X0 all X1 all X2 (ismeet(X2,X0,X1) <-> leq(X2,X0) & leq(X2,X1) & (all X3 (leq(X3,X0) & leq(X3,X1) -> leq(X3,X2))))) # label(ismeet) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00 26 (all X0 all X1 all X2 (ismeetu(X2,X0,X1) <-> (all X3 (leq(X3,X0) & leq(X3,X1) <-> leq(X3,X2))))) # label(ismeetu) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.00
% 0.44/1.00 ============================== end of process non-clausal formulas ===
% 0.44/1.00
% 0.44/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.00
% 0.44/1.00 ============================== PREDICATE ELIMINATION =================
% 0.44/1.00 27 -ismeetu(A,B,C) | leq(D,B) | -leq(D,A) # label(ismeetu) # label(axiom). [clausify(26)].
% 0.44/1.00 28 ismeetu(A,B,C) | leq(f3(B,C,A),B) | leq(f3(B,C,A),A) # label(ismeetu) # label(axiom). [clausify(26)].
% 0.44/1.00 29 ismeetu(A,B,C) | leq(f3(B,C,A),C) | leq(f3(B,C,A),A) # label(ismeetu) # label(axiom). [clausify(26)].
% 0.44/1.00 Derived: leq(A,B) | -leq(A,C) | leq(f3(B,D,C),B) | leq(f3(B,D,C),C). [resolve(27,a,28,a)].
% 0.44/1.00 Derived: leq(A,B) | -leq(A,C) | leq(f3(B,D,C),D) | leq(f3(B,D,C),C). [resolve(27,a,29,a)].
% 0.44/1.00 30 -ismeetu(A,B,C) | leq(D,C) | -leq(D,A) # label(ismeetu) # label(axiom). [clausify(26)].
% 0.44/1.00 Derived: leq(A,B) | -leq(A,C) | leq(f3(D,B,C),D) | leq(f3(D,B,C),C). [resolve(30,a,28,a)].
% 0.44/1.00 Derived: leq(A,B) | -leq(A,C) | leq(f3(D,B,C),B) | leq(f3(D,B,C),C). [resolve(30,a,29,a)].
% 0.44/1.00 31 -ismeetu(A,B,C) | -leq(D,B) | -leq(D,C) | leq(D,A) # label(ismeetu) # label(axiom). [clausify(26)].
% 0.44/1.00 Derived: -leq(A,B) | -leq(A,C) | leq(A,D) | leq(f3(B,C,D),B) | leq(f3(B,C,D),D). [resolve(31,a,28,a)].
% 0.44/1.00 Derived: -leq(A,B) | -leq(A,C) | leq(A,D) | leq(f3(B,C,D),C) | leq(f3(B,C,D),D). [resolve(31,a,29,a)].
% 0.44/1.00 32 ismeetu(A,B,C) | -leq(f3(B,C,A),B) | -leq(f3(B,C,A),C) | -leq(f3(B,C,A),A) # label(ismeetu) # label(axiom). [clausify(26)].
% 0.44/1.00 Derived: -leq(f3(A,B,C),A) | -leq(f3(A,B,C),B) | -leq(f3(A,B,C),C) | leq(D,A) | -leq(D,C). [resolve(32,a,27,a)].
% 0.44/1.00 Derived: -leq(f3(A,B,C),A) | -leq(f3(A,B,C),B) | -leq(f3(A,B,C),C) | leq(D,B) | -leq(D,C). [resolve(32,a,30,a)].
% 0.44/1.00 Derived: -leq(f3(A,B,C),A) | -leq(f3(A,B,C),B) | -leq(f3(A,B,C),C) | -leq(D,A) | -leq(D,B) | leq(D,C). [resolve(32,a,31,a)].
% 0.44/1.00 33 -test(A) | complement(f1(A),A) # label(test_1) # label(axiom). [clausify(19)].
% 0.44/1.00 34 test(A) | -complement(B,A) # label(test_1) # label(axiom). [clausify(19)].
% 0.44/1.00 35 -complement(A,B) | multiplication(B,A) = zero # label(test_2) # label(axiom). [clausify(20)].
% 0.44/1.00 Derived: multiplication(A,f1(A)) = zero | -test(A). [resolve(35,a,33,b)].
% 0.44/1.00 36 -complement(A,B) | multiplication(A,B) = zero # label(test_2) # label(axiom). [clausify(20)].
% 271.41/271.76 Derived: multiplication(f1(A),A) = zero | -test(A). [resolve(36,a,33,b)].
% 271.41/271.76 37 -complement(A,B) | addition(B,A) = one # label(test_2) # label(axiom). [clausify(20)].
% 271.41/271.76 Derived: addition(A,f1(A)) = one | -test(A). [resolve(37,a,33,b)].
% 271.41/271.76 38 -test(A) | c(A) != B | complement(A,B) # label(test_3) # label(axiom). [clausify(21)].
% 271.41/271.76 Derived: -test(A) | c(A) != B | test(B). [resolve(38,c,34,b)].
% 271.41/271.76 Derived: -test(A) | c(A) != B | multiplication(B,A) = zero. [resolve(38,c,35,a)].
% 271.41/271.76 Derived: -test(A) | c(A) != B | multiplication(A,B) = zero. [resolve(38,c,36,a)].
% 271.41/271.76 Derived: -test(A) | c(A) != B | addition(B,A) = one. [resolve(38,c,37,a)].
% 271.41/271.76 39 -test(A) | c(A) = B | -complement(A,B) # label(test_3) # label(axiom). [clausify(21)].
% 271.41/271.76 Derived: -test(f1(A)) | c(f1(A)) = A | -test(A). [resolve(39,c,33,b)].
% 271.41/271.76 40 complement(A,B) | multiplication(B,A) != zero | multiplication(A,B) != zero | addition(B,A) != one # label(test_2) # label(axiom). [clausify(20)].
% 271.41/271.76 Derived: multiplication(A,B) != zero | multiplication(B,A) != zero | addition(A,B) != one | test(A). [resolve(40,a,34,b)].
% 271.41/271.76 Derived: multiplication(A,B) != zero | multiplication(B,A) != zero | addition(A,B) != one | -test(B) | c(B) = A. [resolve(40,a,39,c)].
% 271.41/271.76 41 ismeet(A,B,C) | -leq(A,B) | -leq(A,C) | leq(f2(B,C,A),B) # label(ismeet) # label(axiom). [clausify(25)].
% 271.41/271.76 42 -ismeet(A,B,C) | leq(A,B) # label(ismeet) # label(axiom). [clausify(25)].
% 271.41/271.76 43 -ismeet(A,B,C) | leq(A,C) # label(ismeet) # label(axiom). [clausify(25)].
% 271.41/271.76 44 -ismeet(A,B,C) | -leq(D,B) | -leq(D,C) | leq(D,A) # label(ismeet) # label(axiom). [clausify(25)].
% 271.41/271.76 Derived: -leq(A,B) | -leq(A,C) | leq(f2(B,C,A),B) | -leq(D,B) | -leq(D,C) | leq(D,A). [resolve(41,a,44,a)].
% 271.41/271.76 45 ismeet(A,B,C) | -leq(A,B) | -leq(A,C) | leq(f2(B,C,A),C) # label(ismeet) # label(axiom). [clausify(25)].
% 271.41/271.76 Derived: -leq(A,B) | -leq(A,C) | leq(f2(B,C,A),C) | -leq(D,B) | -leq(D,C) | leq(D,A). [resolve(45,a,44,a)].
% 271.41/271.76 46 ismeet(A,B,C) | -leq(A,B) | -leq(A,C) | -leq(f2(B,C,A),A) # label(ismeet) # label(axiom). [clausify(25)].
% 271.41/271.76 Derived: -leq(A,B) | -leq(A,C) | -leq(f2(B,C,A),A) | -leq(D,B) | -leq(D,C) | leq(D,A). [resolve(46,a,44,a)].
% 271.41/271.76
% 271.41/271.76 ============================== end predicate elimination =============
% 271.41/271.76
% 271.41/271.76 Auto_denials: (non-Horn, no changes).
% 271.41/271.76
% 271.41/271.76 Term ordering decisions:
% 271.41/271.76 Function symbol KB weights: zero=1. one=1. multiplication=1. addition=1. c=1. star=1. omega=1. f1=1. f2=1. f3=1.
% 271.41/271.76
% 271.41/271.76 ============================== end of process initial clauses ========
% 271.41/271.76
% 271.41/271.76 ============================== CLAUSES FOR SEARCH ====================
% 271.41/271.76
% 271.41/271.76 ============================== end of clauses for search =============
% 271.41/271.76
% 271.41/271.76 ============================== SEARCH ================================
% 271.41/271.76
% 271.41/271.76 % Starting search at 0.02 seconds.
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=45.000, iters=3368
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=44.000, iters=3355
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=43.000, iters=3363
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=42.000, iters=3343
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=41.000, iters=3405
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=39.000, iters=3339
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=38.000, iters=3333
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=37.000, iters=3339
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=36.000, iters=3461
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=35.000, iters=3337
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=34.000, iters=3333
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=33.000, iters=3354
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=32.000, iters=3341
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=31.000, iters=3336
% 271.41/271.76
% 271.41/271.76 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 21 (0.00 of 27.85 sec).
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=30.000, iters=3336
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=29.000, iters=3336
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=28.000, iters=3365
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=27.000, iters=3366
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=26.000, iters=3375
% 271.41/271.76
% 271.41/271.76 Low Water (displace): id=5785, wt=73.000
% 271.41/271.76
% 271.41/271.76 Low Water (displace): id=13178, wt=18.000
% 271.41/271.76
% 271.41/271.76 Low Water (displace): id=13215, wt=15.000
% 271.41/271.76
% 271.41/271.76 Low Water (displace): id=13219, wt=12.000
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=25.000, iters=3341
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=24.000, iters=3349
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=23.000, iters=3336
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=22.000, iters=3338
% 271.41/271.76
% 271.41/271.76 Low Water (displace): id=17401, wt=11.000
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=21.000, iters=3353
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=20.000, iters=3335
% 271.41/271.76
% 271.41/271.76 Low Water (keep): wt=19.000, iCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------