TSTP Solution File: PUZ005+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 : Mon Jul 18 18:23:49 EDT 2022
% Result : Theorem 0.72s 1.01s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n017.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 : Sat May 28 21:26:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/0.98 ============================== Prover9 ===============================
% 0.68/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.98 Process 18480 was started by sandbox on n017.cluster.edu,
% 0.68/0.98 Sat May 28 21:26:09 2022
% 0.68/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18327_n017.cluster.edu".
% 0.68/0.98 ============================== end of head ===========================
% 0.68/0.98
% 0.68/0.98 ============================== INPUT =================================
% 0.68/0.98
% 0.68/0.98 % Reading from file /tmp/Prover9_18327_n017.cluster.edu
% 0.68/0.98
% 0.68/0.98 set(prolog_style_variables).
% 0.68/0.98 set(auto2).
% 0.68/0.98 % set(auto2) -> set(auto).
% 0.68/0.98 % set(auto) -> set(auto_inference).
% 0.68/0.98 % set(auto) -> set(auto_setup).
% 0.68/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.68/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.98 % set(auto) -> set(auto_limits).
% 0.68/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.98 % set(auto) -> set(auto_denials).
% 0.68/0.98 % set(auto) -> set(auto_process).
% 0.68/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.68/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.68/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.68/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.68/0.98 % set(auto2) -> assign(stats, some).
% 0.68/0.98 % set(auto2) -> clear(echo_input).
% 0.68/0.98 % set(auto2) -> set(quiet).
% 0.68/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.98 % set(auto2) -> clear(print_given).
% 0.68/0.98 assign(lrs_ticks,-1).
% 0.68/0.98 assign(sos_limit,10000).
% 0.68/0.98 assign(order,kbo).
% 0.68/0.98 set(lex_order_vars).
% 0.68/0.98 clear(print_given).
% 0.68/0.98
% 0.68/0.98 % formulas(sos). % not echoed (46 formulas)
% 0.68/0.98
% 0.68/0.98 ============================== end of input ==========================
% 0.68/0.98
% 0.68/0.98 % From the command line: assign(max_seconds, 300).
% 0.68/0.98
% 0.68/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.98
% 0.68/0.98 % Formulas that are not ordinary clauses:
% 0.68/0.98 1 (all X (monday(X) -> day(X))) # label(monday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 2 (all X (tuesday(X) -> day(X))) # label(tuesday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 3 (all X (wednesday(X) -> day(X))) # label(wednesday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 4 (all X (thursday(X) -> day(X))) # label(thursday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 5 (all X (friday(X) -> day(X))) # label(friday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 6 (all X (saturday(X) -> day(X))) # label(saturday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 7 (all X (sunday(X) -> day(X))) # label(sunday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 8 (all X (monday(X) -> sunday(yesterday(X)))) # label(monday_follows_sunday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 9 (all X (tuesday(X) -> monday(yesterday(X)))) # label(tuesday_follows_monday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 10 (all X (wednesday(X) -> tuesday(yesterday(X)))) # label(wednesday_follows_tuesday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 11 (all X (thursday(X) -> wednesday(yesterday(X)))) # label(thursday_follows_wednesday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 12 (all X (friday(X) -> thursday(yesterday(X)))) # label(friday_follows_thursday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 13 (all X (saturday(X) -> friday(yesterday(X)))) # label(saturday_follows_friday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 14 (all X (sunday(X) -> saturday(yesterday(X)))) # label(sunday_follows_saturday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 15 (all X (monday(X) -> lion_lies(X))) # label(lion_lies_monday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 16 (all X (tuesday(X) -> lion_lies(X))) # label(lion_lies_tuesday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 17 (all X (wednesday(X) -> lion_lies(X))) # label(lion_lies_wednesday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 18 (all X (thursday(X) -> -lion_lies(X))) # label(lion_does_not_lie_thursday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 19 (all X (friday(X) -> -lion_lies(X))) # label(lion_does_not_lie_friday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 20 (all X (saturday(X) -> -lion_lies(X))) # label(lion_does_not_lie_saturday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 21 (all X (sunday(X) -> -lion_lies(X))) # label(lion_does_not_lie_sunday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 22 (all X (monday(X) -> -unicorn_lies(X))) # label(unicorn_does_not_lie_monday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 23 (all X (tuesday(X) -> -unicorn_lies(X))) # label(unicorn_does_not_lie_tuesday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 24 (all X (wednesday(X) -> -unicorn_lies(X))) # label(unicorn_does_not_lie_wednesday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 25 (all X (thursday(X) -> unicorn_lies(X))) # label(unicorn_lies_thursday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 26 (all X (friday(X) -> unicorn_lies(X))) # label(unicorn_lies_friday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 27 (all X (saturday(X) -> unicorn_lies(X))) # label(unicorn_lies_saturday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 28 (all X (sunday(X) -> -unicorn_lies(X))) # label(unicorn_does_not_lie_sunday) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 29 (all X (lion_lies(X) -> day(X))) # label(lion_lies_on_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 30 (all X (unicorn_lies(X) -> day(X))) # label(unicorn_lies_on_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 31 (all X (day(X) -> (all Y (day(Y) -> (lion_lies(X) & lies_on_one_of(a_lion,X,Y) -> -lion_lies(Y)))))) # label(lion_lies_on_this_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 32 (all X (day(X) -> (all Y (day(Y) -> (-lion_lies(X) & lies_on_one_of(a_lion,X,Y) -> lion_lies(Y)))))) # label(lion_lies_on_other_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 33 (all X (day(X) -> (all Y (day(Y) -> (-lion_lies(X) & -lies_on_one_of(a_lion,X,Y) -> -lion_lies(Y)))))) # label(lion_lies_on_neither) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 34 (all X (day(X) -> (all Y (day(Y) -> (lion_lies(X) & -lies_on_one_of(a_lion,X,Y) -> lion_lies(Y)))))) # label(lion_lies_on_both) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 35 (all X (day(X) -> (all Y (day(Y) -> (unicorn_lies(X) & lies_on_one_of(a_unicorn,X,Y) -> -unicorn_lies(Y)))))) # label(unicorn_lies_on_this_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 36 (all X (day(X) -> (all Y (day(Y) -> (-unicorn_lies(X) & lies_on_one_of(a_unicorn,X,Y) -> unicorn_lies(Y)))))) # label(unicorn_lies_on_other_day) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 37 (all X (day(X) -> (all Y (day(Y) -> (-unicorn_lies(X) & -lies_on_one_of(a_unicorn,X,Y) -> -unicorn_lies(Y)))))) # label(unicorn_lies_on_neither) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 38 (all X (day(X) -> (all Y (day(Y) -> (unicorn_lies(X) & -lies_on_one_of(a_unicorn,X,Y) -> unicorn_lies(Y)))))) # label(unicorn_lies_on_both) # label(axiom) # label(non_clause). [assumption].
% 0.68/0.98 39 -(exists X (day(X) & lies_on_one_of(a_lion,X,yesterday(X)) & lies_on_one_of(a_unicorn,X,yesterday(X)))) # label(prove_there_are_close_lying_days) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.68/0.98
% 0.68/0.98 ============================== end of process non-clausal formulas ===
% 0.68/0.98
% 0.68/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.98
% 0.68/0.98 ============================== PREDICATE ELIMINATION =================
% 0.68/0.98 40 -monday(A) | -unicorn_lies(A) # label(unicorn_does_not_lie_monday) # label(axiom). [clausify(22)].
% 0.68/0.98 41 monday(a_monday) # label(monday) # label(axiom). [assumption].
% 0.68/0.98 Derived: -unicorn_lies(a_monday). [resolve(40,a,41,a)].
% 0.68/0.98 42 -monday(A) | day(A) # label(monday_is_a_day) # label(axiom). [clausify(1)].
% 0.68/0.98 Derived: day(a_monday). [resolve(42,a,41,a)].
% 0.68/0.98 43 -monday(A) | lion_lies(A) # label(lion_lies_monday) # label(axiom). [clausify(15)].
% 0.68/0.98 Derived: lion_lies(a_monday). [resolve(43,a,41,a)].
% 0.68/0.98 44 -monday(A) | sunday(yesterday(A)) # label(monday_follows_sunday) # label(axiom). [clausify(8)].
% 0.68/0.98 Derived: sunday(yesterday(a_monday)). [resolve(44,a,41,a)].
% 0.68/0.98 45 -tuesday(A) | monday(yesterday(A)) # label(tuesday_follows_monday) # label(axiom). [clausify(9)].
% 0.68/0.98 Derived: -tuesday(A) | -unicorn_lies(yesterday(A)). [resolve(45,b,40,a)].
% 0.68/0.98 Derived: -tuesday(A) | day(yesterday(A)). [resolve(45,b,42,a)].
% 0.68/0.98 Derived: -tuesday(A) | lion_lies(yesterday(A)). [resolve(45,b,43,a)].
% 0.68/0.98 Derived: -tuesday(A) | sunday(yesterday(yesterday(A))). [resolve(45,b,44,a)].
% 0.68/0.98 46 -tuesday(A) | -unicorn_lies(A) # label(unicorn_does_not_lie_tuesday) # label(axiom). [clausify(23)].
% 0.68/0.98 47 tuesday(a_tuesday) # label(tuesday) # label(axiom). [assumption].
% 0.68/0.98 Derived: -unicorn_lies(a_tuesday). [resolve(46,a,47,a)].
% 0.68/0.98 48 -tuesday(A) | day(A) # label(tuesday_is_a_day) # label(axiom). [clausify(2)].
% 0.68/0.98 Derived: day(a_tuesday). [resolve(48,a,47,a)].
% 0.68/0.98 49 -tuesday(A) | lion_lies(A) # label(lion_lies_tuesday) # label(axiom). [clausify(16)].
% 0.68/0.98 Derived: lion_lies(a_tuesday). [resolve(49,a,47,a)].
% 0.68/0.98 50 -wednesday(A) | tuesday(yesterday(A)) # label(wednesday_follows_tuesday) # label(axiom). [clausify(10)].
% 0.68/0.98 Derived: -wednesday(A) | -unicorn_lies(yesterday(A)). [resolve(50,b,46,a)].
% 0.68/0.98 Derived: -wednesday(A) | day(yesterday(A)). [resolve(50,b,48,a)].
% 0.68/0.98 Derived: -wednesday(A) | lion_lies(yesterday(A)). [resolve(50,b,49,a)].
% 0.68/0.98 51 -tuesday(A) | -unicorn_lies(yesterday(A)). [resolve(45,b,40,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(a_tuesday)). [resolve(51,a,47,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(A))) | -wednesday(A). [resolve(51,a,50,b)].
% 0.68/0.98 52 -tuesday(A) | day(yesterday(A)). [resolve(45,b,42,a)].
% 0.68/0.98 Derived: day(yesterday(a_tuesday)). [resolve(52,a,47,a)].
% 0.68/0.98 Derived: day(yesterday(yesterday(A))) | -wednesday(A). [resolve(52,a,50,b)].
% 0.68/0.98 53 -tuesday(A) | lion_lies(yesterday(A)). [resolve(45,b,43,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(a_tuesday)). [resolve(53,a,47,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(A))) | -wednesday(A). [resolve(53,a,50,b)].
% 0.68/0.98 54 -tuesday(A) | sunday(yesterday(yesterday(A))). [resolve(45,b,44,a)].
% 0.68/0.98 Derived: sunday(yesterday(yesterday(a_tuesday))). [resolve(54,a,47,a)].
% 0.68/0.98 Derived: sunday(yesterday(yesterday(yesterday(A)))) | -wednesday(A). [resolve(54,a,50,b)].
% 0.68/0.98 55 -wednesday(A) | -unicorn_lies(A) # label(unicorn_does_not_lie_wednesday) # label(axiom). [clausify(24)].
% 0.68/0.98 56 wednesday(a_wednesday) # label(wednesday) # label(axiom). [assumption].
% 0.68/0.98 Derived: -unicorn_lies(a_wednesday). [resolve(55,a,56,a)].
% 0.68/0.98 57 -wednesday(A) | day(A) # label(wednesday_is_a_day) # label(axiom). [clausify(3)].
% 0.68/0.98 Derived: day(a_wednesday). [resolve(57,a,56,a)].
% 0.68/0.98 58 -wednesday(A) | lion_lies(A) # label(lion_lies_wednesday) # label(axiom). [clausify(17)].
% 0.68/0.98 Derived: lion_lies(a_wednesday). [resolve(58,a,56,a)].
% 0.68/0.98 59 -thursday(A) | wednesday(yesterday(A)) # label(thursday_follows_wednesday) # label(axiom). [clausify(11)].
% 0.68/0.98 Derived: -thursday(A) | -unicorn_lies(yesterday(A)). [resolve(59,b,55,a)].
% 0.68/0.98 Derived: -thursday(A) | day(yesterday(A)). [resolve(59,b,57,a)].
% 0.68/0.98 Derived: -thursday(A) | lion_lies(yesterday(A)). [resolve(59,b,58,a)].
% 0.68/0.98 60 -wednesday(A) | -unicorn_lies(yesterday(A)). [resolve(50,b,46,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(a_wednesday)). [resolve(60,a,56,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(A))) | -thursday(A). [resolve(60,a,59,b)].
% 0.68/0.98 61 -wednesday(A) | day(yesterday(A)). [resolve(50,b,48,a)].
% 0.68/0.98 Derived: day(yesterday(a_wednesday)). [resolve(61,a,56,a)].
% 0.68/0.98 Derived: day(yesterday(yesterday(A))) | -thursday(A). [resolve(61,a,59,b)].
% 0.68/0.98 62 -wednesday(A) | lion_lies(yesterday(A)). [resolve(50,b,49,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(a_wednesday)). [resolve(62,a,56,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(A))) | -thursday(A). [resolve(62,a,59,b)].
% 0.68/0.98 63 -unicorn_lies(yesterday(yesterday(A))) | -wednesday(A). [resolve(51,a,50,b)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(a_wednesday))). [resolve(63,b,56,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(yesterday(A)))) | -thursday(A). [resolve(63,b,59,b)].
% 0.68/0.98 64 day(yesterday(yesterday(A))) | -wednesday(A). [resolve(52,a,50,b)].
% 0.68/0.98 Derived: day(yesterday(yesterday(a_wednesday))). [resolve(64,b,56,a)].
% 0.68/0.98 Derived: day(yesterday(yesterday(yesterday(A)))) | -thursday(A). [resolve(64,b,59,b)].
% 0.68/0.98 65 lion_lies(yesterday(yesterday(A))) | -wednesday(A). [resolve(53,a,50,b)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(a_wednesday))). [resolve(65,b,56,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(yesterday(A)))) | -thursday(A). [resolve(65,b,59,b)].
% 0.68/0.98 66 sunday(yesterday(yesterday(yesterday(A)))) | -wednesday(A). [resolve(54,a,50,b)].
% 0.68/0.98 Derived: sunday(yesterday(yesterday(yesterday(a_wednesday)))). [resolve(66,b,56,a)].
% 0.68/0.98 Derived: sunday(yesterday(yesterday(yesterday(yesterday(A))))) | -thursday(A). [resolve(66,b,59,b)].
% 0.68/0.98 67 -thursday(A) | -lion_lies(A) # label(lion_does_not_lie_thursday) # label(axiom). [clausify(18)].
% 0.68/0.98 68 thursday(a_thursday) # label(thursday) # label(axiom). [assumption].
% 0.68/0.98 Derived: -lion_lies(a_thursday). [resolve(67,a,68,a)].
% 0.68/0.98 69 -thursday(A) | day(A) # label(thursday_is_a_day) # label(axiom). [clausify(4)].
% 0.68/0.98 Derived: day(a_thursday). [resolve(69,a,68,a)].
% 0.68/0.98 70 -thursday(A) | unicorn_lies(A) # label(unicorn_lies_thursday) # label(axiom). [clausify(25)].
% 0.68/0.98 Derived: unicorn_lies(a_thursday). [resolve(70,a,68,a)].
% 0.68/0.98 71 -friday(A) | thursday(yesterday(A)) # label(friday_follows_thursday) # label(axiom). [clausify(12)].
% 0.68/0.98 Derived: -friday(A) | -lion_lies(yesterday(A)). [resolve(71,b,67,a)].
% 0.68/0.98 Derived: -friday(A) | day(yesterday(A)). [resolve(71,b,69,a)].
% 0.68/0.98 Derived: -friday(A) | unicorn_lies(yesterday(A)). [resolve(71,b,70,a)].
% 0.68/0.98 72 -thursday(A) | -unicorn_lies(yesterday(A)). [resolve(59,b,55,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(a_thursday)). [resolve(72,a,68,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(A))) | -friday(A). [resolve(72,a,71,b)].
% 0.68/0.98 73 -thursday(A) | day(yesterday(A)). [resolve(59,b,57,a)].
% 0.68/0.98 Derived: day(yesterday(a_thursday)). [resolve(73,a,68,a)].
% 0.68/0.98 Derived: day(yesterday(yesterday(A))) | -friday(A). [resolve(73,a,71,b)].
% 0.68/0.98 74 -thursday(A) | lion_lies(yesterday(A)). [resolve(59,b,58,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(a_thursday)). [resolve(74,a,68,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(A))) | -friday(A). [resolve(74,a,71,b)].
% 0.68/0.98 75 -unicorn_lies(yesterday(yesterday(A))) | -thursday(A). [resolve(60,a,59,b)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(a_thursday))). [resolve(75,b,68,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(yesterday(A)))) | -friday(A). [resolve(75,b,71,b)].
% 0.68/0.98 76 day(yesterday(yesterday(A))) | -thursday(A). [resolve(61,a,59,b)].
% 0.68/0.98 Derived: day(yesterday(yesterday(a_thursday))). [resolve(76,b,68,a)].
% 0.68/0.98 Derived: day(yesterday(yesterday(yesterday(A)))) | -friday(A). [resolve(76,b,71,b)].
% 0.68/0.98 77 lion_lies(yesterday(yesterday(A))) | -thursday(A). [resolve(62,a,59,b)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(a_thursday))). [resolve(77,b,68,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(yesterday(A)))) | -friday(A). [resolve(77,b,71,b)].
% 0.68/0.98 78 -unicorn_lies(yesterday(yesterday(yesterday(A)))) | -thursday(A). [resolve(63,b,59,b)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(yesterday(a_thursday)))). [resolve(78,b,68,a)].
% 0.68/0.98 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -friday(A). [resolve(78,b,71,b)].
% 0.68/0.98 79 day(yesterday(yesterday(yesterday(A)))) | -thursday(A). [resolve(64,b,59,b)].
% 0.68/0.98 Derived: day(yesterday(yesterday(yesterday(a_thursday)))). [resolve(79,b,68,a)].
% 0.68/0.98 Derived: day(yesterday(yesterday(yesterday(yesterday(A))))) | -friday(A). [resolve(79,b,71,b)].
% 0.68/0.98 80 lion_lies(yesterday(yesterday(yesterday(A)))) | -thursday(A). [resolve(65,b,59,b)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(yesterday(a_thursday)))). [resolve(80,b,68,a)].
% 0.68/0.98 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -friday(A). [resolve(80,b,71,b)].
% 0.68/0.98 81 sunday(yesterday(yesterday(yesterday(yesterday(A))))) | -thursday(A). [resolve(66,b,59,b)].
% 0.68/0.98 Derived: sunday(yesterday(yesterday(yesterday(yesterday(a_thursday))))). [resolve(81,b,68,a)].
% 0.68/0.98 Derived: sunday(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -friday(A). [resolve(81,b,71,b)].
% 0.68/0.99 82 -friday(A) | -lion_lies(A) # label(lion_does_not_lie_friday) # label(axiom). [clausify(19)].
% 0.68/0.99 83 friday(a_friday) # label(friday) # label(axiom). [assumption].
% 0.68/0.99 Derived: -lion_lies(a_friday). [resolve(82,a,83,a)].
% 0.68/0.99 84 -friday(A) | day(A) # label(friday_is_a_day) # label(axiom). [clausify(5)].
% 0.68/0.99 Derived: day(a_friday). [resolve(84,a,83,a)].
% 0.68/0.99 85 -friday(A) | unicorn_lies(A) # label(unicorn_lies_friday) # label(axiom). [clausify(26)].
% 0.68/0.99 Derived: unicorn_lies(a_friday). [resolve(85,a,83,a)].
% 0.68/0.99 86 -saturday(A) | friday(yesterday(A)) # label(saturday_follows_friday) # label(axiom). [clausify(13)].
% 0.68/0.99 Derived: -saturday(A) | -lion_lies(yesterday(A)). [resolve(86,b,82,a)].
% 0.68/0.99 Derived: -saturday(A) | day(yesterday(A)). [resolve(86,b,84,a)].
% 0.68/0.99 Derived: -saturday(A) | unicorn_lies(yesterday(A)). [resolve(86,b,85,a)].
% 0.68/0.99 87 -friday(A) | -lion_lies(yesterday(A)). [resolve(71,b,67,a)].
% 0.68/0.99 Derived: -lion_lies(yesterday(a_friday)). [resolve(87,a,83,a)].
% 0.68/0.99 Derived: -lion_lies(yesterday(yesterday(A))) | -saturday(A). [resolve(87,a,86,b)].
% 0.68/0.99 88 -friday(A) | day(yesterday(A)). [resolve(71,b,69,a)].
% 0.68/0.99 Derived: day(yesterday(a_friday)). [resolve(88,a,83,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(A))) | -saturday(A). [resolve(88,a,86,b)].
% 0.68/0.99 89 -friday(A) | unicorn_lies(yesterday(A)). [resolve(71,b,70,a)].
% 0.68/0.99 Derived: unicorn_lies(yesterday(a_friday)). [resolve(89,a,83,a)].
% 0.68/0.99 Derived: unicorn_lies(yesterday(yesterday(A))) | -saturday(A). [resolve(89,a,86,b)].
% 0.68/0.99 90 -unicorn_lies(yesterday(yesterday(A))) | -friday(A). [resolve(72,a,71,b)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(a_friday))). [resolve(90,b,83,a)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(A)))) | -saturday(A). [resolve(90,b,86,b)].
% 0.68/0.99 91 day(yesterday(yesterday(A))) | -friday(A). [resolve(73,a,71,b)].
% 0.68/0.99 Derived: day(yesterday(yesterday(a_friday))). [resolve(91,b,83,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(A)))) | -saturday(A). [resolve(91,b,86,b)].
% 0.68/0.99 92 lion_lies(yesterday(yesterday(A))) | -friday(A). [resolve(74,a,71,b)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(a_friday))). [resolve(92,b,83,a)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(A)))) | -saturday(A). [resolve(92,b,86,b)].
% 0.68/0.99 93 -unicorn_lies(yesterday(yesterday(yesterday(A)))) | -friday(A). [resolve(75,b,71,b)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(a_friday)))). [resolve(93,b,83,a)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -saturday(A). [resolve(93,b,86,b)].
% 0.68/0.99 94 day(yesterday(yesterday(yesterday(A)))) | -friday(A). [resolve(76,b,71,b)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(a_friday)))). [resolve(94,b,83,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(yesterday(A))))) | -saturday(A). [resolve(94,b,86,b)].
% 0.68/0.99 95 lion_lies(yesterday(yesterday(yesterday(A)))) | -friday(A). [resolve(77,b,71,b)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(a_friday)))). [resolve(95,b,83,a)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -saturday(A). [resolve(95,b,86,b)].
% 0.68/0.99 96 -unicorn_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -friday(A). [resolve(78,b,71,b)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(a_friday))))). [resolve(96,b,83,a)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -saturday(A). [resolve(96,b,86,b)].
% 0.68/0.99 97 day(yesterday(yesterday(yesterday(yesterday(A))))) | -friday(A). [resolve(79,b,71,b)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(yesterday(a_friday))))). [resolve(97,b,83,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -saturday(A). [resolve(97,b,86,b)].
% 0.68/0.99 98 lion_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -friday(A). [resolve(80,b,71,b)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(a_friday))))). [resolve(98,b,83,a)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -saturday(A). [resolve(98,b,86,b)].
% 0.68/0.99 99 sunday(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -friday(A). [resolve(81,b,71,b)].
% 0.68/0.99 Derived: sunday(yesterday(yesterday(yesterday(yesterday(yesterday(a_friday)))))). [resolve(99,b,83,a)].
% 0.68/0.99 Derived: sunday(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(A))))))) | -saturday(A). [resolve(99,b,86,b)].
% 0.68/0.99 100 -saturday(A) | -lion_lies(A) # label(lion_does_not_lie_saturday) # label(axiom). [clausify(20)].
% 0.68/0.99 101 saturday(a_saturday) # label(saturday) # label(axiom). [assumption].
% 0.68/0.99 Derived: -lion_lies(a_saturday). [resolve(100,a,101,a)].
% 0.68/0.99 102 -saturday(A) | day(A) # label(saturday_is_a_day) # label(axiom). [clausify(6)].
% 0.68/0.99 Derived: day(a_saturday). [resolve(102,a,101,a)].
% 0.68/0.99 103 -saturday(A) | unicorn_lies(A) # label(unicorn_lies_saturday) # label(axiom). [clausify(27)].
% 0.68/0.99 Derived: unicorn_lies(a_saturday). [resolve(103,a,101,a)].
% 0.68/0.99 104 -sunday(A) | saturday(yesterday(A)) # label(sunday_follows_saturday) # label(axiom). [clausify(14)].
% 0.68/0.99 Derived: -sunday(A) | -lion_lies(yesterday(A)). [resolve(104,b,100,a)].
% 0.68/0.99 Derived: -sunday(A) | day(yesterday(A)). [resolve(104,b,102,a)].
% 0.68/0.99 Derived: -sunday(A) | unicorn_lies(yesterday(A)). [resolve(104,b,103,a)].
% 0.68/0.99 105 -saturday(A) | -lion_lies(yesterday(A)). [resolve(86,b,82,a)].
% 0.68/0.99 Derived: -lion_lies(yesterday(a_saturday)). [resolve(105,a,101,a)].
% 0.68/0.99 Derived: -lion_lies(yesterday(yesterday(A))) | -sunday(A). [resolve(105,a,104,b)].
% 0.68/0.99 106 -saturday(A) | day(yesterday(A)). [resolve(86,b,84,a)].
% 0.68/0.99 Derived: day(yesterday(a_saturday)). [resolve(106,a,101,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(A))) | -sunday(A). [resolve(106,a,104,b)].
% 0.68/0.99 107 -saturday(A) | unicorn_lies(yesterday(A)). [resolve(86,b,85,a)].
% 0.68/0.99 Derived: unicorn_lies(yesterday(a_saturday)). [resolve(107,a,101,a)].
% 0.68/0.99 Derived: unicorn_lies(yesterday(yesterday(A))) | -sunday(A). [resolve(107,a,104,b)].
% 0.68/0.99 108 -lion_lies(yesterday(yesterday(A))) | -saturday(A). [resolve(87,a,86,b)].
% 0.68/0.99 Derived: -lion_lies(yesterday(yesterday(a_saturday))). [resolve(108,b,101,a)].
% 0.68/0.99 Derived: -lion_lies(yesterday(yesterday(yesterday(A)))) | -sunday(A). [resolve(108,b,104,b)].
% 0.68/0.99 109 day(yesterday(yesterday(A))) | -saturday(A). [resolve(88,a,86,b)].
% 0.68/0.99 Derived: day(yesterday(yesterday(a_saturday))). [resolve(109,b,101,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(A)))) | -sunday(A). [resolve(109,b,104,b)].
% 0.68/0.99 110 unicorn_lies(yesterday(yesterday(A))) | -saturday(A). [resolve(89,a,86,b)].
% 0.68/0.99 Derived: unicorn_lies(yesterday(yesterday(a_saturday))). [resolve(110,b,101,a)].
% 0.68/0.99 Derived: unicorn_lies(yesterday(yesterday(yesterday(A)))) | -sunday(A). [resolve(110,b,104,b)].
% 0.68/0.99 111 -unicorn_lies(yesterday(yesterday(yesterday(A)))) | -saturday(A). [resolve(90,b,86,b)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(a_saturday)))). [resolve(111,b,101,a)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -sunday(A). [resolve(111,b,104,b)].
% 0.68/0.99 112 day(yesterday(yesterday(yesterday(A)))) | -saturday(A). [resolve(91,b,86,b)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(a_saturday)))). [resolve(112,b,101,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(yesterday(A))))) | -sunday(A). [resolve(112,b,104,b)].
% 0.68/0.99 113 lion_lies(yesterday(yesterday(yesterday(A)))) | -saturday(A). [resolve(92,b,86,b)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(a_saturday)))). [resolve(113,b,101,a)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -sunday(A). [resolve(113,b,104,b)].
% 0.68/0.99 114 -unicorn_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -saturday(A). [resolve(93,b,86,b)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(a_saturday))))). [resolve(114,b,101,a)].
% 0.68/0.99 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -sunday(A). [resolve(114,b,104,b)].
% 0.68/0.99 115 day(yesterday(yesterday(yesterday(yesterday(A))))) | -saturday(A). [resolve(94,b,86,b)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(yesterday(a_saturday))))). [resolve(115,b,101,a)].
% 0.68/0.99 Derived: day(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -sunday(A). [resolve(115,b,104,b)].
% 0.68/0.99 116 lion_lies(yesterday(yesterday(yesterday(yesterday(A))))) | -saturday(A). [resolve(95,b,86,b)].
% 0.68/0.99 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(a_saturday))))). [resolve(116,b,101,a)].
% 0.72/1.01 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -sunday(A). [resolve(116,b,104,b)].
% 0.72/1.01 117 -unicorn_lies(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -saturday(A). [resolve(96,b,86,b)].
% 0.72/1.01 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(yesterday(a_saturday)))))). [resolve(117,b,101,a)].
% 0.72/1.01 Derived: -unicorn_lies(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(A))))))) | -sunday(A). [resolve(117,b,104,b)].
% 0.72/1.01 118 day(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -saturday(A). [resolve(97,b,86,b)].
% 0.72/1.01 Derived: day(yesterday(yesterday(yesterday(yesterday(yesterday(a_saturday)))))). [resolve(118,b,101,a)].
% 0.72/1.01 Derived: day(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(A))))))) | -sunday(A). [resolve(118,b,104,b)].
% 0.72/1.01 119 lion_lies(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))) | -saturday(A). [resolve(98,b,86,b)].
% 0.72/1.01 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(yesterday(a_saturday)))))). [resolve(119,b,101,a)].
% 0.72/1.01 Derived: lion_lies(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(A))))))) | -sunday(A). [resolve(119,b,104,b)].
% 0.72/1.01 120 sunday(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(A))))))) | -saturday(A). [resolve(99,b,86,b)].
% 0.72/1.01 Derived: sunday(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(a_saturday))))))). [resolve(120,b,101,a)].
% 0.72/1.01 Derived: sunday(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(yesterday(A)))))))) | -sunday(A). [resolve(120,b,104,b)].
% 0.72/1.01
% 0.72/1.01 ============================== end predicate elimination =============
% 0.72/1.01
% 0.72/1.01 Auto_denials: (non-Horn, no changes).
% 0.72/1.01
% 0.72/1.01 Term ordering decisions:
% 0.72/1.01
% 0.72/1.01 % Assigning unary symbol yesterday kb_weight 0 and highest precedence (15).
% 0.72/1.01 Function symbol KB weights: a_saturday=1. a_friday=1. a_thursday=1. a_wednesday=1. a_tuesday=1. a_lion=1. a_monday=1. a_unicorn=1. a_sunday=1. yesterday=0.
% 0.72/1.01
% 0.72/1.01 ============================== end of process initial clauses ========
% 0.72/1.01
% 0.72/1.01 ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.01
% 0.72/1.01 ============================== end of clauses for search =============
% 0.72/1.01
% 0.72/1.01 ============================== SEARCH ================================
% 0.72/1.01
% 0.72/1.01 % Starting search at 0.02 seconds.
% 0.72/1.01
% 0.72/1.01 ============================== PROOF =================================
% 0.72/1.01 % SZS status Theorem
% 0.72/1.01 % SZS output start Refutation
% 0.72/1.01
% 0.72/1.01 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.72/1.01 % Length of proof is 35.
% 0.72/1.01 % Level of proof is 6.
% 0.72/1.01 % Maximum clause weight is 12.000.
% 0.72/1.01 % Given clauses 255.
% 0.72/1.01
% 0.72/1.01 3 (all X (wednesday(X) -> day(X))) # label(wednesday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 4 (all X (thursday(X) -> day(X))) # label(thursday_is_a_day) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 11 (all X (thursday(X) -> wednesday(yesterday(X)))) # label(thursday_follows_wednesday) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 17 (all X (wednesday(X) -> lion_lies(X))) # label(lion_lies_wednesday) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 18 (all X (thursday(X) -> -lion_lies(X))) # label(lion_does_not_lie_thursday) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 24 (all X (wednesday(X) -> -unicorn_lies(X))) # label(unicorn_does_not_lie_wednesday) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 25 (all X (thursday(X) -> unicorn_lies(X))) # label(unicorn_lies_thursday) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 33 (all X (day(X) -> (all Y (day(Y) -> (-lion_lies(X) & -lies_on_one_of(a_lion,X,Y) -> -lion_lies(Y)))))) # label(lion_lies_on_neither) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 38 (all X (day(X) -> (all Y (day(Y) -> (unicorn_lies(X) & -lies_on_one_of(a_unicorn,X,Y) -> unicorn_lies(Y)))))) # label(unicorn_lies_on_both) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.01 39 -(exists X (day(X) & lies_on_one_of(a_lion,X,yesterday(X)) & lies_on_one_of(a_unicorn,X,yesterday(X)))) # label(prove_there_are_close_lying_days) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.72/1.01 55 -wednesday(A) | -unicorn_lies(A) # label(unicorn_does_not_lie_wednesday) # label(axiom). [clausify(24)].
% 0.72/1.01 57 -wednesday(A) | day(A) # label(wednesday_is_a_day) # label(axiom). [clausify(3)].
% 0.72/1.02 58 -wednesday(A) | lion_lies(A) # label(lion_lies_wednesday) # label(axiom). [clausify(17)].
% 0.72/1.02 59 -thursday(A) | wednesday(yesterday(A)) # label(thursday_follows_wednesday) # label(axiom). [clausify(11)].
% 0.72/1.02 67 -thursday(A) | -lion_lies(A) # label(lion_does_not_lie_thursday) # label(axiom). [clausify(18)].
% 0.72/1.02 68 thursday(a_thursday) # label(thursday) # label(axiom). [assumption].
% 0.72/1.02 69 -thursday(A) | day(A) # label(thursday_is_a_day) # label(axiom). [clausify(4)].
% 0.72/1.02 70 -thursday(A) | unicorn_lies(A) # label(unicorn_lies_thursday) # label(axiom). [clausify(25)].
% 0.72/1.02 72 -thursday(A) | -unicorn_lies(yesterday(A)). [resolve(59,b,55,a)].
% 0.72/1.02 73 -thursday(A) | day(yesterday(A)). [resolve(59,b,57,a)].
% 0.72/1.02 74 -thursday(A) | lion_lies(yesterday(A)). [resolve(59,b,58,a)].
% 0.72/1.02 126 -day(A) | -lies_on_one_of(a_lion,A,yesterday(A)) | -lies_on_one_of(a_unicorn,A,yesterday(A)) # label(prove_there_are_close_lying_days) # label(negated_conjecture). [clausify(39)].
% 0.72/1.02 131 -day(A) | -day(B) | lion_lies(A) | lies_on_one_of(a_lion,A,B) | -lion_lies(B) # label(lion_lies_on_neither) # label(axiom). [clausify(33)].
% 0.72/1.02 135 -day(A) | -day(B) | -unicorn_lies(A) | lies_on_one_of(a_unicorn,A,B) | unicorn_lies(B) # label(unicorn_lies_on_both) # label(axiom). [clausify(38)].
% 0.72/1.02 157 -lion_lies(a_thursday). [resolve(67,a,68,a)].
% 0.72/1.02 158 day(a_thursday). [resolve(69,a,68,a)].
% 0.72/1.02 159 unicorn_lies(a_thursday). [resolve(70,a,68,a)].
% 0.72/1.02 160 -unicorn_lies(yesterday(a_thursday)). [resolve(72,a,68,a)].
% 0.72/1.02 161 day(yesterday(a_thursday)). [resolve(73,a,68,a)].
% 0.72/1.02 162 lion_lies(yesterday(a_thursday)). [resolve(74,a,68,a)].
% 0.72/1.02 248 -day(A) | lies_on_one_of(a_unicorn,a_thursday,A) | unicorn_lies(A). [resolve(159,a,135,c),unit_del(a,158)].
% 0.72/1.02 252 -day(A) | lion_lies(A) | lies_on_one_of(a_lion,A,yesterday(a_thursday)). [resolve(162,a,131,e),unit_del(b,161)].
% 0.72/1.02 624 lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)). [resolve(248,a,161,a),unit_del(b,160)].
% 0.72/1.02 681 lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)). [resolve(252,a,158,a),unit_del(a,157)].
% 0.72/1.02 766 $F. [resolve(624,a,126,c),unit_del(a,158),unit_del(b,681)].
% 0.72/1.02
% 0.72/1.02 % SZS output end Refutation
% 0.72/1.02 ============================== end of proof ==========================
% 0.72/1.02
% 0.72/1.02 ============================== STATISTICS ============================
% 0.72/1.02
% 0.72/1.02 Given=255. Generated=1116. Kept=645. proofs=1.
% 0.72/1.02 Usable=255. Sos=390. Demods=0. Limbo=0, Disabled=184. Hints=0.
% 0.72/1.02 Megabytes=0.43.
% 0.72/1.02 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.72/1.02
% 0.72/1.02 ============================== end of statistics =====================
% 0.72/1.02
% 0.72/1.02 ============================== end of search =========================
% 0.72/1.02
% 0.72/1.02 THEOREM PROVED
% 0.72/1.02 % SZS status Theorem
% 0.72/1.02
% 0.72/1.02 Exiting with 1 proof.
% 0.72/1.02
% 0.72/1.02 Process 18480 exit (max_proofs) Sat May 28 21:26:09 2022
% 0.72/1.02 Prover9 interrupted
%------------------------------------------------------------------------------