TSTP Solution File: PUZ078+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : Mon Jul 18 18:20:58 EDT 2022
% Result : Theorem 0.52s 0.69s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 68
% Syntax : Number of formulae : 358 ( 85 unt; 0 def)
% Number of atoms : 1036 ( 703 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 1053 ( 375 ~; 599 |; 58 &)
% ( 15 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 100 ( 0 sgn 50 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(days_of_week,axiom,
! [X] :
( X = monday
| X = tuesday
| X = wednesday
| X = thursday
| X = friday
| X = saturday
| X = sunday ) ).
fof(uniquenames,axiom,
( monday != tuesday
& monday != wednesday
& monday != thursday
& monday != friday
& monday != saturday
& monday != sunday
& tuesday != wednesday
& tuesday != thursday
& tuesday != friday
& tuesday != saturday
& tuesday != sunday
& wednesday != thursday
& wednesday != friday
& wednesday != saturday
& wednesday != sunday
& thursday != friday
& thursday != saturday
& thursday != sunday
& friday != saturday
& friday != sunday
& saturday != sunday ) ).
fof(truth_unique,axiom,
! [X,Y] :
( ( truthday(X)
& truthday(Y) )
=> X = Y ) ).
fof(day2_unique,axiom,
! [X,Y] :
( ( day2(X)
& day2(Y) )
=> X = Y ) ).
fof(day3_unique,axiom,
! [X,Y] :
( ( day3(X)
& day3(Y) )
=> X = Y ) ).
fof(truth_once,axiom,
? [X] : truthday(X) ).
fof(day1_once,axiom,
? [X] : day1(X) ).
fof(day2_once,axiom,
? [X] : day2(X) ).
fof(day3_once,axiom,
? [X] : day3(X) ).
fof(monday_follows_sunday,axiom,
consecutive(sunday) = monday ).
fof(tuesday_follows_monday,axiom,
consecutive(monday) = tuesday ).
fof(thursday_follows_wednesday,axiom,
consecutive(wednesday) = thursday ).
fof(friday_follows_thursday,axiom,
consecutive(thursday) = friday ).
fof(saturday_follows_friday,axiom,
consecutive(friday) = saturday ).
fof(sunday_follows_saturday,axiom,
consecutive(saturday) = sunday ).
fof(day2_follows_day1,axiom,
! [X] :
( day1(X)
<=> day2(consecutive(X)) ) ).
fof(day3_follows_day2,axiom,
! [X] :
( day2(X)
<=> day3(consecutive(X)) ) ).
fof(statement1,axiom,
! [X] :
( day1(X)
=> ( truthday(X)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ) ).
fof(statement2,axiom,
! [X] :
( day2(X)
=> ( truthday(X)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ) ).
fof(statement3,axiom,
! [X] :
( day3(X)
=> ( truthday(X)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ) ).
fof(tuesday_leo_tells_truths,conjecture,
truthday(tuesday) ).
fof(subgoal_0,plain,
truthday(tuesday),
inference(strip,[],[tuesday_leo_tells_truths]) ).
fof(negate_0_0,plain,
~ truthday(tuesday),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( friday != saturday
& friday != sunday
& monday != friday
& monday != saturday
& monday != sunday
& monday != thursday
& monday != tuesday
& monday != wednesday
& saturday != sunday
& thursday != friday
& thursday != saturday
& thursday != sunday
& tuesday != friday
& tuesday != saturday
& tuesday != sunday
& tuesday != thursday
& tuesday != wednesday
& wednesday != friday
& wednesday != saturday
& wednesday != sunday
& wednesday != thursday ),
inference(canonicalize,[],[uniquenames]) ).
fof(normalize_0_1,plain,
wednesday != saturday,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X] : truthday(X),
inference(canonicalize,[],[truth_once]) ).
fof(normalize_0_3,plain,
truthday(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ truthday(X)
| ~ truthday(Y)
| X = Y ),
inference(canonicalize,[],[truth_unique]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ truthday(X)
| ~ truthday(Y)
| X = Y ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
? [X] : day3(X),
inference(canonicalize,[],[day3_once]) ).
fof(normalize_0_7,plain,
day3(skolemFOFtoCNF_X_3),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ day3(X)
| ( ~ truthday(X)
<=> ( truthday(friday)
| truthday(wednesday) ) ) ),
inference(canonicalize,[],[statement3]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ day3(X)
| ( ~ truthday(X)
<=> ( truthday(friday)
| truthday(wednesday) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ( ~ day3(X)
| ~ truthday(X)
| ~ truthday(friday) )
& ( ~ day3(X)
| ~ truthday(X)
| ~ truthday(wednesday) )
& ( ~ day3(X)
| truthday(X)
| truthday(friday)
| truthday(wednesday) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ day3(X)
| truthday(X)
| truthday(friday)
| truthday(wednesday) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
friday != saturday,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ day1(X)
| ( ~ truthday(X)
<=> ( truthday(monday)
| truthday(tuesday) ) ) ),
inference(canonicalize,[],[statement1]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ day1(X)
| ( ~ truthday(X)
<=> ( truthday(monday)
| truthday(tuesday) ) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ( ~ day1(X)
| ~ truthday(X)
| ~ truthday(monday) )
& ( ~ day1(X)
| ~ truthday(X)
| ~ truthday(tuesday) )
& ( ~ day1(X)
| truthday(X)
| truthday(monday)
| truthday(tuesday) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ day1(X)
| ~ truthday(X)
| ~ truthday(monday) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
? [X] : day1(X),
inference(canonicalize,[],[day1_once]) ).
fof(normalize_0_18,plain,
day1(skolemFOFtoCNF_X_1),
inference(skolemize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ day1(X)
<=> ~ day2(consecutive(X)) ),
inference(canonicalize,[],[day2_follows_day1]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ day1(X)
<=> ~ day2(consecutive(X)) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ( ~ day1(X)
| day2(consecutive(X)) )
& ( ~ day2(consecutive(X))
| day1(X) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ day1(X)
| day2(consecutive(X)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
? [X] : day2(X),
inference(canonicalize,[],[day2_once]) ).
fof(normalize_0_24,plain,
day2(skolemFOFtoCNF_X_2),
inference(skolemize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X,Y] :
( ~ day2(X)
| ~ day2(Y)
| X = Y ),
inference(canonicalize,[],[day2_unique]) ).
fof(normalize_0_26,plain,
! [X,Y] :
( ~ day2(X)
| ~ day2(Y)
| X = Y ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ day1(X)
| truthday(X)
| truthday(monday)
| truthday(tuesday) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_28,plain,
~ truthday(tuesday),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_29,plain,
! [X] :
( ~ day2(X)
| ( ~ truthday(X)
<=> ( ~ day2(saturday)
& ~ day2(sunday)
& ~ day2(thursday) ) ) ),
inference(canonicalize,[],[statement2]) ).
fof(normalize_0_30,plain,
! [X] :
( ~ day2(X)
| ( ~ truthday(X)
<=> ( ~ day2(saturday)
& ~ day2(sunday)
& ~ day2(thursday) ) ) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X] :
( ( ~ day2(X)
| ~ day2(saturday)
| truthday(X) )
& ( ~ day2(X)
| ~ day2(sunday)
| truthday(X) )
& ( ~ day2(X)
| ~ day2(thursday)
| truthday(X) )
& ( ~ day2(X)
| ~ truthday(X)
| day2(saturday)
| day2(sunday)
| day2(thursday) ) ),
inference(clausify,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X] :
( ~ day2(X)
| ~ day2(sunday)
| truthday(X) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [X] :
( ~ day2(X)
<=> ~ day3(consecutive(X)) ),
inference(canonicalize,[],[day3_follows_day2]) ).
fof(normalize_0_34,plain,
! [X] :
( ~ day2(X)
<=> ~ day3(consecutive(X)) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [X] :
( ( ~ day2(X)
| day3(consecutive(X)) )
& ( ~ day3(consecutive(X))
| day2(X) ) ),
inference(clausify,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [X] :
( ~ day3(consecutive(X))
| day2(X) ),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
consecutive(sunday) = monday,
inference(canonicalize,[],[monday_follows_sunday]) ).
fof(normalize_0_38,plain,
monday != wednesday,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_39,plain,
monday != friday,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_40,plain,
monday != sunday,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_41,plain,
wednesday != thursday,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_42,plain,
! [X] :
( ~ day2(X)
| ~ day2(thursday)
| truthday(X) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_43,plain,
consecutive(wednesday) = thursday,
inference(canonicalize,[],[thursday_follows_wednesday]) ).
fof(normalize_0_44,plain,
! [X] :
( ~ day2(X)
| day3(consecutive(X)) ),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_45,plain,
! [X,Y] :
( ~ day3(X)
| ~ day3(Y)
| X = Y ),
inference(canonicalize,[],[day3_unique]) ).
fof(normalize_0_46,plain,
! [X,Y] :
( ~ day3(X)
| ~ day3(Y)
| X = Y ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
consecutive(friday) = saturday,
inference(canonicalize,[],[saturday_follows_friday]) ).
fof(normalize_0_48,plain,
consecutive(thursday) = friday,
inference(canonicalize,[],[friday_follows_thursday]) ).
fof(normalize_0_49,plain,
! [X] :
( X = friday
| X = monday
| X = saturday
| X = sunday
| X = thursday
| X = tuesday
| X = wednesday ),
inference(canonicalize,[],[days_of_week]) ).
fof(normalize_0_50,plain,
! [X] :
( X = friday
| X = monday
| X = saturday
| X = sunday
| X = thursday
| X = tuesday
| X = wednesday ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
consecutive(monday) = tuesday,
inference(canonicalize,[],[tuesday_follows_monday]) ).
fof(normalize_0_52,plain,
! [X] :
( ~ day2(X)
| ~ day2(saturday)
| truthday(X) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_53,plain,
consecutive(saturday) = sunday,
inference(canonicalize,[],[sunday_follows_saturday]) ).
fof(normalize_0_54,plain,
monday != saturday,
inference(conjunct,[],[normalize_0_0]) ).
cnf(refute_0_0,plain,
wednesday != saturday,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
truthday(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ truthday(X)
| ~ truthday(Y)
| X = Y ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ truthday(X_12)
| ~ truthday(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = X_12 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_4,plain,
( ~ truthday(X_12)
| skolemFOFtoCNF_X = X_12 ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ truthday(friday)
| skolemFOFtoCNF_X = friday ),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(friday))]]) ).
cnf(refute_0_6,plain,
( ~ truthday(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_7,plain,
( ~ truthday(wednesday)
| skolemFOFtoCNF_X = wednesday ),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(wednesday))]]) ).
cnf(refute_0_8,plain,
day3(skolemFOFtoCNF_X_3),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_9,plain,
( ~ day3(X)
| truthday(X)
| truthday(friday)
| truthday(wednesday) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
( ~ day3(skolemFOFtoCNF_X_3)
| truthday(friday)
| truthday(skolemFOFtoCNF_X_3)
| truthday(wednesday) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_11,plain,
( truthday(friday)
| truthday(skolemFOFtoCNF_X_3)
| truthday(wednesday) ),
inference(resolve,[$cnf( day3(skolemFOFtoCNF_X_3) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( skolemFOFtoCNF_X = wednesday
| truthday(friday)
| truthday(skolemFOFtoCNF_X_3) ),
inference(resolve,[$cnf( truthday(wednesday) )],[refute_0_11,refute_0_7]) ).
cnf(refute_0_13,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = wednesday
| truthday(friday) ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X_3) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = wednesday ),
inference(resolve,[$cnf( truthday(friday) )],[refute_0_13,refute_0_5]) ).
cnf(refute_0_15,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_16,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_17,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( skolemFOFtoCNF_X != wednesday
| wednesday = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(wednesday))]]) ).
cnf(refute_0_19,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| wednesday = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,wednesday) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
( skolemFOFtoCNF_X != saturday
| wednesday != skolemFOFtoCNF_X
| wednesday = saturday ),
introduced(tautology,[equality,[$cnf( $equal(wednesday,skolemFOFtoCNF_X) ),[1],$fot(saturday)]]) ).
cnf(refute_0_21,plain,
( skolemFOFtoCNF_X != saturday
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| wednesday = saturday ),
inference(resolve,[$cnf( $equal(wednesday,skolemFOFtoCNF_X) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( skolemFOFtoCNF_X != saturday
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(wednesday,saturday) )],[refute_0_21,refute_0_0]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_X != friday
| skolemFOFtoCNF_X != saturday
| saturday = friday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X,friday) ),[0],$fot(saturday)]]) ).
cnf(refute_0_24,plain,
( skolemFOFtoCNF_X != saturday
| saturday = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,friday) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( skolemFOFtoCNF_X != saturday
| skolemFOFtoCNF_X != skolemFOFtoCNF_X_3
| saturday = skolemFOFtoCNF_X_3 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X_3) ),[0],$fot(saturday)]]) ).
cnf(refute_0_26,plain,
( skolemFOFtoCNF_X != saturday
| saturday = friday
| saturday = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X_3) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
friday != saturday,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_28,plain,
( saturday != friday
| friday = saturday ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(saturday)),bind(Y0,$fot(friday))]]) ).
cnf(refute_0_29,plain,
saturday != friday,
inference(resolve,[$cnf( $equal(friday,saturday) )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
( skolemFOFtoCNF_X != saturday
| saturday = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(saturday,friday) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ day1(X)
| ~ truthday(X)
| ~ truthday(monday) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_32,plain,
( ~ day1(skolemFOFtoCNF_X)
| ~ truthday(monday)
| ~ truthday(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_33,plain,
( ~ day1(skolemFOFtoCNF_X)
| ~ truthday(monday) ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X) )],[refute_0_1,refute_0_32]) ).
cnf(refute_0_34,plain,
day1(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_35,plain,
( ~ day1(X)
| day2(consecutive(X)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_36,plain,
( ~ day1(skolemFOFtoCNF_X_1)
| day2(consecutive(skolemFOFtoCNF_X_1)) ),
inference(subst,[],[refute_0_35:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_37,plain,
day2(consecutive(skolemFOFtoCNF_X_1)),
inference(resolve,[$cnf( day1(skolemFOFtoCNF_X_1) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
day2(skolemFOFtoCNF_X_2),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_39,plain,
( ~ day2(X)
| ~ day2(Y)
| X = Y ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_40,plain,
( ~ day2(X_20)
| ~ day2(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X_2 = X_20 ),
inference(subst,[],[refute_0_39:[bind(X,$fot(skolemFOFtoCNF_X_2)),bind(Y,$fot(X_20))]]) ).
cnf(refute_0_41,plain,
( ~ day2(X_20)
| skolemFOFtoCNF_X_2 = X_20 ),
inference(resolve,[$cnf( day2(skolemFOFtoCNF_X_2) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ day2(consecutive(skolemFOFtoCNF_X_1))
| skolemFOFtoCNF_X_2 = consecutive(skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_41:[bind(X_20,$fot(consecutive(skolemFOFtoCNF_X_1)))]]) ).
cnf(refute_0_43,plain,
skolemFOFtoCNF_X_2 = consecutive(skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( day2(consecutive(skolemFOFtoCNF_X_1)) )],[refute_0_37,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ truthday(X)
| ~ truthday(monday)
| X = monday ),
inference(subst,[],[refute_0_2:[bind(Y,$fot(monday))]]) ).
cnf(refute_0_45,plain,
( ~ day1(X)
| truthday(X)
| truthday(monday)
| truthday(tuesday) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_46,plain,
~ truthday(tuesday),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_47,plain,
( ~ day1(X)
| truthday(X)
| truthday(monday) ),
inference(resolve,[$cnf( truthday(tuesday) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ day1(skolemFOFtoCNF_X_1)
| truthday(monday)
| truthday(skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_49,plain,
( truthday(monday)
| truthday(skolemFOFtoCNF_X_1) ),
inference(resolve,[$cnf( day1(skolemFOFtoCNF_X_1) )],[refute_0_34,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ truthday(skolemFOFtoCNF_X_1)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1 ),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_51,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| truthday(monday) ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X_1) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ truthday(X)
| X = monday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1 ),
inference(resolve,[$cnf( truthday(monday) )],[refute_0_51,refute_0_44]) ).
cnf(refute_0_53,plain,
( ~ truthday(sunday)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| sunday = monday ),
inference(subst,[],[refute_0_52:[bind(X,$fot(sunday))]]) ).
cnf(refute_0_54,plain,
( ~ day2(X)
| ~ day2(sunday)
| truthday(X) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_55,plain,
( ~ day2(sunday)
| truthday(sunday) ),
inference(subst,[],[refute_0_54:[bind(X,$fot(sunday))]]) ).
cnf(refute_0_56,plain,
( ~ day3(consecutive(X))
| day2(X) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_57,plain,
( ~ day3(consecutive(sunday))
| day2(sunday) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(sunday))]]) ).
cnf(refute_0_58,plain,
consecutive(sunday) = monday,
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_59,plain,
( consecutive(sunday) != monday
| ~ day3(monday)
| day3(consecutive(sunday)) ),
introduced(tautology,[equality,[$cnf( ~ day3(consecutive(sunday)) ),[0],$fot(monday)]]) ).
cnf(refute_0_60,plain,
( ~ day3(monday)
| day3(consecutive(sunday)) ),
inference(resolve,[$cnf( $equal(consecutive(sunday),monday) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ day3(monday)
| day2(sunday) ),
inference(resolve,[$cnf( day3(consecutive(sunday)) )],[refute_0_60,refute_0_57]) ).
cnf(refute_0_62,plain,
( ~ truthday(friday)
| friday = monday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1 ),
inference(subst,[],[refute_0_52:[bind(X,$fot(friday))]]) ).
cnf(refute_0_63,plain,
( ~ truthday(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| skolemFOFtoCNF_X_3 = monday ),
inference(subst,[],[refute_0_52:[bind(X,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_64,plain,
( ~ truthday(wednesday)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| wednesday = monday ),
inference(subst,[],[refute_0_52:[bind(X,$fot(wednesday))]]) ).
cnf(refute_0_65,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| wednesday = monday
| truthday(friday)
| truthday(skolemFOFtoCNF_X_3) ),
inference(resolve,[$cnf( truthday(wednesday) )],[refute_0_11,refute_0_64]) ).
cnf(refute_0_66,plain,
monday != wednesday,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_67,plain,
( wednesday != monday
| monday = wednesday ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(wednesday)),bind(Y0,$fot(monday))]]) ).
cnf(refute_0_68,plain,
wednesday != monday,
inference(resolve,[$cnf( $equal(monday,wednesday) )],[refute_0_67,refute_0_66]) ).
cnf(refute_0_69,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| truthday(friday)
| truthday(skolemFOFtoCNF_X_3) ),
inference(resolve,[$cnf( $equal(wednesday,monday) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| skolemFOFtoCNF_X_3 = monday
| truthday(friday) ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X_3) )],[refute_0_69,refute_0_63]) ).
cnf(refute_0_71,plain,
( friday = monday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| skolemFOFtoCNF_X_3 = monday ),
inference(resolve,[$cnf( truthday(friday) )],[refute_0_70,refute_0_62]) ).
cnf(refute_0_72,plain,
monday != friday,
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_73,plain,
( friday != monday
| monday = friday ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(friday)),bind(Y0,$fot(monday))]]) ).
cnf(refute_0_74,plain,
friday != monday,
inference(resolve,[$cnf( $equal(monday,friday) )],[refute_0_73,refute_0_72]) ).
cnf(refute_0_75,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| skolemFOFtoCNF_X_3 = monday ),
inference(resolve,[$cnf( $equal(friday,monday) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( skolemFOFtoCNF_X_3 != monday
| ~ day3(skolemFOFtoCNF_X_3)
| day3(monday) ),
introduced(tautology,[equality,[$cnf( day3(skolemFOFtoCNF_X_3) ),[0],$fot(monday)]]) ).
cnf(refute_0_77,plain,
( ~ day3(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| day3(monday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,monday) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| day3(monday) ),
inference(resolve,[$cnf( day3(skolemFOFtoCNF_X_3) )],[refute_0_8,refute_0_77]) ).
cnf(refute_0_79,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| day2(sunday) ),
inference(resolve,[$cnf( day3(monday) )],[refute_0_78,refute_0_61]) ).
cnf(refute_0_80,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| truthday(sunday) ),
inference(resolve,[$cnf( day2(sunday) )],[refute_0_79,refute_0_55]) ).
cnf(refute_0_81,plain,
( skolemFOFtoCNF_X = skolemFOFtoCNF_X_1
| sunday = monday ),
inference(resolve,[$cnf( truthday(sunday) )],[refute_0_80,refute_0_53]) ).
cnf(refute_0_82,plain,
monday != sunday,
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_83,plain,
( sunday != monday
| monday = sunday ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(sunday)),bind(Y0,$fot(monday))]]) ).
cnf(refute_0_84,plain,
sunday != monday,
inference(resolve,[$cnf( $equal(monday,sunday) )],[refute_0_83,refute_0_82]) ).
cnf(refute_0_85,plain,
skolemFOFtoCNF_X = skolemFOFtoCNF_X_1,
inference(resolve,[$cnf( $equal(sunday,monday) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X_1
| skolemFOFtoCNF_X_1 = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_87,plain,
skolemFOFtoCNF_X_1 = skolemFOFtoCNF_X,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X_1) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
consecutive(skolemFOFtoCNF_X_1) = consecutive(skolemFOFtoCNF_X_1),
introduced(tautology,[refl,[$fot(consecutive(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_89,plain,
( consecutive(skolemFOFtoCNF_X_1) != consecutive(skolemFOFtoCNF_X_1)
| skolemFOFtoCNF_X_1 != skolemFOFtoCNF_X
| consecutive(skolemFOFtoCNF_X_1) = consecutive(skolemFOFtoCNF_X) ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(skolemFOFtoCNF_X_1),consecutive(skolemFOFtoCNF_X_1)) ),[1,0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_90,plain,
( skolemFOFtoCNF_X_1 != skolemFOFtoCNF_X
| consecutive(skolemFOFtoCNF_X_1) = consecutive(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X_1),consecutive(skolemFOFtoCNF_X_1)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
consecutive(skolemFOFtoCNF_X_1) = consecutive(skolemFOFtoCNF_X),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_X) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
( consecutive(skolemFOFtoCNF_X_1) != consecutive(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X_1)
| skolemFOFtoCNF_X_2 = consecutive(skolemFOFtoCNF_X) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X_1)) ),[1],$fot(consecutive(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_93,plain,
( skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X_1)
| skolemFOFtoCNF_X_2 = consecutive(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X_1),consecutive(skolemFOFtoCNF_X)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
skolemFOFtoCNF_X_2 = consecutive(skolemFOFtoCNF_X),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X_1)) )],[refute_0_43,refute_0_93]) ).
cnf(refute_0_95,plain,
wednesday != thursday,
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_96,plain,
( skolemFOFtoCNF_X != thursday
| wednesday != skolemFOFtoCNF_X
| wednesday = thursday ),
introduced(tautology,[equality,[$cnf( $equal(wednesday,skolemFOFtoCNF_X) ),[1],$fot(thursday)]]) ).
cnf(refute_0_97,plain,
( skolemFOFtoCNF_X != thursday
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| wednesday = thursday ),
inference(resolve,[$cnf( $equal(wednesday,skolemFOFtoCNF_X) )],[refute_0_19,refute_0_96]) ).
cnf(refute_0_98,plain,
( skolemFOFtoCNF_X != thursday
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(wednesday,thursday) )],[refute_0_97,refute_0_95]) ).
cnf(refute_0_99,plain,
( ~ truthday(thursday)
| skolemFOFtoCNF_X = thursday ),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(thursday))]]) ).
cnf(refute_0_100,plain,
( ~ day2(X)
| ~ day2(thursday)
| truthday(X) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_101,plain,
( ~ day2(thursday)
| truthday(thursday) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(thursday))]]) ).
cnf(refute_0_102,plain,
consecutive(wednesday) = thursday,
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_103,plain,
( consecutive(wednesday) != thursday
| wednesday != skolemFOFtoCNF_X
| consecutive(skolemFOFtoCNF_X) = thursday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(wednesday),thursday) ),[0,0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_104,plain,
( consecutive(wednesday) != thursday
| consecutive(skolemFOFtoCNF_X) = thursday
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(wednesday,skolemFOFtoCNF_X) )],[refute_0_19,refute_0_103]) ).
cnf(refute_0_105,plain,
( consecutive(skolemFOFtoCNF_X) = thursday
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(consecutive(wednesday),thursday) )],[refute_0_102,refute_0_104]) ).
cnf(refute_0_106,plain,
( skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X)
| consecutive(skolemFOFtoCNF_X) = skolemFOFtoCNF_X_2 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X_2)),bind(Y0,$fot(consecutive(skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_107,plain,
consecutive(skolemFOFtoCNF_X) = skolemFOFtoCNF_X_2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X)) )],[refute_0_94,refute_0_106]) ).
cnf(refute_0_108,plain,
( consecutive(skolemFOFtoCNF_X) != skolemFOFtoCNF_X_2
| consecutive(skolemFOFtoCNF_X) != thursday
| skolemFOFtoCNF_X_2 = thursday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),thursday) ),[0],$fot(skolemFOFtoCNF_X_2)]]) ).
cnf(refute_0_109,plain,
( consecutive(skolemFOFtoCNF_X) != thursday
| skolemFOFtoCNF_X_2 = thursday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),skolemFOFtoCNF_X_2) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X_2 = thursday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),thursday) )],[refute_0_105,refute_0_109]) ).
cnf(refute_0_111,plain,
( skolemFOFtoCNF_X_2 != thursday
| thursday = skolemFOFtoCNF_X_2 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X_2)),bind(Y0,$fot(thursday))]]) ).
cnf(refute_0_112,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| thursday = skolemFOFtoCNF_X_2 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,thursday) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( thursday != skolemFOFtoCNF_X_2
| ~ day2(skolemFOFtoCNF_X_2)
| day2(thursday) ),
introduced(tautology,[equality,[$cnf( ~ day2(thursday) ),[0],$fot(skolemFOFtoCNF_X_2)]]) ).
cnf(refute_0_114,plain,
( ~ day2(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| day2(thursday) ),
inference(resolve,[$cnf( $equal(thursday,skolemFOFtoCNF_X_2) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( ~ day2(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| truthday(thursday) ),
inference(resolve,[$cnf( day2(thursday) )],[refute_0_114,refute_0_101]) ).
cnf(refute_0_116,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| truthday(thursday) ),
inference(resolve,[$cnf( day2(skolemFOFtoCNF_X_2) )],[refute_0_38,refute_0_115]) ).
cnf(refute_0_117,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = thursday ),
inference(resolve,[$cnf( truthday(thursday) )],[refute_0_116,refute_0_99]) ).
cnf(refute_0_118,plain,
( skolemFOFtoCNF_X != thursday
| thursday = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(thursday))]]) ).
cnf(refute_0_119,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| thursday = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,thursday) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X
| thursday != skolemFOFtoCNF_X
| skolemFOFtoCNF_X = thursday ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_X,thursday) ),[1],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_121,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = thursday ),
inference(resolve,[$cnf( $equal(thursday,skolemFOFtoCNF_X) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,thursday) )],[refute_0_121,refute_0_98]) ).
cnf(refute_0_123,plain,
skolemFOFtoCNF_X = skolemFOFtoCNF_X,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_124,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_123,refute_0_122]) ).
cnf(refute_0_125,plain,
( ~ day2(X)
| day3(consecutive(X)) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_126,plain,
( ~ day2(skolemFOFtoCNF_X_2)
| day3(consecutive(skolemFOFtoCNF_X_2)) ),
inference(subst,[],[refute_0_125:[bind(X,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_127,plain,
day3(consecutive(skolemFOFtoCNF_X_2)),
inference(resolve,[$cnf( day2(skolemFOFtoCNF_X_2) )],[refute_0_38,refute_0_126]) ).
cnf(refute_0_128,plain,
( ~ day3(X)
| ~ day3(Y)
| X = Y ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_129,plain,
( ~ day3(X_23)
| ~ day3(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X_3 = X_23 ),
inference(subst,[],[refute_0_128:[bind(X,$fot(skolemFOFtoCNF_X_3)),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_130,plain,
( ~ day3(X_23)
| skolemFOFtoCNF_X_3 = X_23 ),
inference(resolve,[$cnf( day3(skolemFOFtoCNF_X_3) )],[refute_0_8,refute_0_129]) ).
cnf(refute_0_131,plain,
( ~ day3(consecutive(skolemFOFtoCNF_X_2))
| skolemFOFtoCNF_X_3 = consecutive(skolemFOFtoCNF_X_2) ),
inference(subst,[],[refute_0_130:[bind(X_23,$fot(consecutive(skolemFOFtoCNF_X_2)))]]) ).
cnf(refute_0_132,plain,
skolemFOFtoCNF_X_3 = consecutive(skolemFOFtoCNF_X_2),
inference(resolve,[$cnf( day3(consecutive(skolemFOFtoCNF_X_2)) )],[refute_0_127,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ day2(friday)
| skolemFOFtoCNF_X_2 = friday ),
inference(subst,[],[refute_0_41:[bind(X_20,$fot(friday))]]) ).
cnf(refute_0_134,plain,
( ~ day3(consecutive(friday))
| day2(friday) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(friday))]]) ).
cnf(refute_0_135,plain,
consecutive(friday) = saturday,
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_136,plain,
( consecutive(friday) != saturday
| ~ day3(saturday)
| day3(consecutive(friday)) ),
introduced(tautology,[equality,[$cnf( ~ day3(consecutive(friday)) ),[0],$fot(saturday)]]) ).
cnf(refute_0_137,plain,
( ~ day3(saturday)
| day3(consecutive(friday)) ),
inference(resolve,[$cnf( $equal(consecutive(friday),saturday) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( ~ day3(saturday)
| day2(friday) ),
inference(resolve,[$cnf( day3(consecutive(friday)) )],[refute_0_137,refute_0_134]) ).
cnf(refute_0_139,plain,
consecutive(thursday) = friday,
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_140,plain,
( X = friday
| X = monday
| X = saturday
| X = sunday
| X = thursday
| X = tuesday
| X = wednesday ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_141,plain,
( X_42 = friday
| X_42 = monday
| X_42 = saturday
| X_42 = sunday
| X_42 = thursday
| X_42 = tuesday
| X_42 = wednesday ),
inference(subst,[],[refute_0_140:[bind(X,$fot(X_42))]]) ).
cnf(refute_0_142,plain,
( X_42 != saturday
| saturday = X_42 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_42)),bind(Y0,$fot(saturday))]]) ).
cnf(refute_0_143,plain,
( X_42 = friday
| X_42 = monday
| X_42 = sunday
| X_42 = thursday
| X_42 = tuesday
| X_42 = wednesday
| saturday = X_42 ),
inference(resolve,[$cnf( $equal(X_42,saturday) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( saturday != X_42
| skolemFOFtoCNF_X != X_42
| skolemFOFtoCNF_X = saturday ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_X,saturday) ),[1],$fot(X_42)]]) ).
cnf(refute_0_145,plain,
( skolemFOFtoCNF_X != X_42
| X_42 = friday
| X_42 = monday
| X_42 = sunday
| X_42 = thursday
| X_42 = tuesday
| X_42 = wednesday
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( $equal(saturday,X_42) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( skolemFOFtoCNF_X != X_42
| X_42 = friday
| X_42 = monday
| X_42 = sunday
| X_42 = thursday
| X_42 = tuesday
| X_42 = wednesday
| saturday = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,saturday) )],[refute_0_145,refute_0_30]) ).
cnf(refute_0_147,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X = tuesday
| skolemFOFtoCNF_X = wednesday ),
inference(subst,[],[refute_0_146:[bind(X_42,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_148,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X = tuesday
| skolemFOFtoCNF_X = wednesday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_123,refute_0_147]) ).
cnf(refute_0_149,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X = tuesday
| wednesday = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,wednesday) )],[refute_0_148,refute_0_18]) ).
cnf(refute_0_150,plain,
( consecutive(wednesday) != thursday
| consecutive(skolemFOFtoCNF_X) = thursday
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X = tuesday ),
inference(resolve,[$cnf( $equal(wednesday,skolemFOFtoCNF_X) )],[refute_0_149,refute_0_103]) ).
cnf(refute_0_151,plain,
( consecutive(skolemFOFtoCNF_X) = thursday
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X = tuesday ),
inference(resolve,[$cnf( $equal(consecutive(wednesday),thursday) )],[refute_0_102,refute_0_150]) ).
cnf(refute_0_152,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X = tuesday
| skolemFOFtoCNF_X_2 = thursday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),thursday) )],[refute_0_151,refute_0_109]) ).
cnf(refute_0_153,plain,
( skolemFOFtoCNF_X != tuesday
| tuesday = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(tuesday))]]) ).
cnf(refute_0_154,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X_2 = thursday
| tuesday = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,tuesday) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( tuesday != skolemFOFtoCNF_X
| ~ truthday(skolemFOFtoCNF_X)
| truthday(tuesday) ),
introduced(tautology,[equality,[$cnf( ~ truthday(tuesday) ),[0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_156,plain,
( ~ truthday(skolemFOFtoCNF_X)
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X_2 = thursday
| truthday(tuesday) ),
inference(resolve,[$cnf( $equal(tuesday,skolemFOFtoCNF_X) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( ~ truthday(skolemFOFtoCNF_X)
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X_2 = thursday ),
inference(resolve,[$cnf( truthday(tuesday) )],[refute_0_156,refute_0_46]) ).
cnf(refute_0_158,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| skolemFOFtoCNF_X_2 = thursday ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X) )],[refute_0_1,refute_0_157]) ).
cnf(refute_0_159,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| thursday = skolemFOFtoCNF_X_2 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,thursday) )],[refute_0_158,refute_0_111]) ).
cnf(refute_0_160,plain,
( ~ day2(skolemFOFtoCNF_X_2)
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| day2(thursday) ),
inference(resolve,[$cnf( $equal(thursday,skolemFOFtoCNF_X_2) )],[refute_0_159,refute_0_113]) ).
cnf(refute_0_161,plain,
( ~ day2(skolemFOFtoCNF_X_2)
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| truthday(thursday) ),
inference(resolve,[$cnf( day2(thursday) )],[refute_0_160,refute_0_101]) ).
cnf(refute_0_162,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday
| truthday(thursday) ),
inference(resolve,[$cnf( day2(skolemFOFtoCNF_X_2) )],[refute_0_38,refute_0_161]) ).
cnf(refute_0_163,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X = thursday ),
inference(resolve,[$cnf( truthday(thursday) )],[refute_0_162,refute_0_99]) ).
cnf(refute_0_164,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| thursday = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,thursday) )],[refute_0_163,refute_0_118]) ).
cnf(refute_0_165,plain,
( consecutive(thursday) != friday
| thursday != skolemFOFtoCNF_X
| consecutive(skolemFOFtoCNF_X) = friday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(thursday),friday) ),[0,0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_166,plain,
( consecutive(thursday) != friday
| consecutive(skolemFOFtoCNF_X) = friday
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday ),
inference(resolve,[$cnf( $equal(thursday,skolemFOFtoCNF_X) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
( consecutive(skolemFOFtoCNF_X) = friday
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday ),
inference(resolve,[$cnf( $equal(consecutive(thursday),friday) )],[refute_0_139,refute_0_166]) ).
cnf(refute_0_168,plain,
( consecutive(skolemFOFtoCNF_X) != friday
| consecutive(skolemFOFtoCNF_X) != skolemFOFtoCNF_X_2
| skolemFOFtoCNF_X_2 = friday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),friday) ),[0],$fot(skolemFOFtoCNF_X_2)]]) ).
cnf(refute_0_169,plain,
( consecutive(skolemFOFtoCNF_X) != friday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),skolemFOFtoCNF_X_2) )],[refute_0_107,refute_0_168]) ).
cnf(refute_0_170,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = sunday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),friday) )],[refute_0_167,refute_0_169]) ).
cnf(refute_0_171,plain,
( skolemFOFtoCNF_X != sunday
| sunday = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(sunday))]]) ).
cnf(refute_0_172,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| sunday = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,sunday) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
( consecutive(sunday) != monday
| sunday != skolemFOFtoCNF_X
| consecutive(skolemFOFtoCNF_X) = monday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(sunday),monday) ),[0,0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_174,plain,
( consecutive(sunday) != monday
| consecutive(skolemFOFtoCNF_X) = monday
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( $equal(sunday,skolemFOFtoCNF_X) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( consecutive(skolemFOFtoCNF_X) = monday
| saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( $equal(consecutive(sunday),monday) )],[refute_0_58,refute_0_174]) ).
cnf(refute_0_176,plain,
( consecutive(skolemFOFtoCNF_X) != monday
| consecutive(skolemFOFtoCNF_X) != skolemFOFtoCNF_X_2
| skolemFOFtoCNF_X_2 = monday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),monday) ),[0],$fot(skolemFOFtoCNF_X_2)]]) ).
cnf(refute_0_177,plain,
( consecutive(skolemFOFtoCNF_X) != monday
| skolemFOFtoCNF_X_2 = monday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),skolemFOFtoCNF_X_2) )],[refute_0_107,refute_0_176]) ).
cnf(refute_0_178,plain,
( saturday = skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_2 = monday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),monday) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
( saturday != skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X_3 = saturday ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(saturday)),bind(Y0,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_180,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_2 = monday
| skolemFOFtoCNF_X_3 = saturday ),
inference(resolve,[$cnf( $equal(saturday,skolemFOFtoCNF_X_3) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( skolemFOFtoCNF_X_3 != saturday
| ~ day3(skolemFOFtoCNF_X_3)
| day3(saturday) ),
introduced(tautology,[equality,[$cnf( day3(skolemFOFtoCNF_X_3) ),[0],$fot(saturday)]]) ).
cnf(refute_0_182,plain,
( ~ day3(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_2 = monday
| day3(saturday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,saturday) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_2 = monday
| day3(saturday) ),
inference(resolve,[$cnf( day3(skolemFOFtoCNF_X_3) )],[refute_0_8,refute_0_182]) ).
cnf(refute_0_184,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_2 = monday
| day2(friday) ),
inference(resolve,[$cnf( day3(saturday) )],[refute_0_183,refute_0_138]) ).
cnf(refute_0_185,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_2 = monday ),
inference(resolve,[$cnf( day2(friday) )],[refute_0_184,refute_0_133]) ).
cnf(refute_0_186,plain,
( skolemFOFtoCNF_X_2 != monday
| skolemFOFtoCNF_X_3 != consecutive(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X_3 = consecutive(monday) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(skolemFOFtoCNF_X_2)) ),[1,0],$fot(monday)]]) ).
cnf(refute_0_187,plain,
( skolemFOFtoCNF_X_3 != consecutive(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_3 = consecutive(monday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,monday) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_3 = consecutive(monday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(skolemFOFtoCNF_X_2)) )],[refute_0_132,refute_0_187]) ).
cnf(refute_0_189,plain,
consecutive(monday) = tuesday,
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_190,plain,
( consecutive(monday) != tuesday
| skolemFOFtoCNF_X_3 != consecutive(monday)
| skolemFOFtoCNF_X_3 = tuesday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(monday)) ),[1],$fot(tuesday)]]) ).
cnf(refute_0_191,plain,
( skolemFOFtoCNF_X_3 != consecutive(monday)
| skolemFOFtoCNF_X_3 = tuesday ),
inference(resolve,[$cnf( $equal(consecutive(monday),tuesday) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| skolemFOFtoCNF_X_3 = tuesday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(monday)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( skolemFOFtoCNF_X_3 != tuesday
| tuesday = skolemFOFtoCNF_X_3 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X_3)),bind(Y0,$fot(tuesday))]]) ).
cnf(refute_0_194,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| tuesday = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,tuesday) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( tuesday != skolemFOFtoCNF_X_3
| ~ truthday(skolemFOFtoCNF_X_3)
| truthday(tuesday) ),
introduced(tautology,[equality,[$cnf( ~ truthday(tuesday) ),[0],$fot(skolemFOFtoCNF_X_3)]]) ).
cnf(refute_0_196,plain,
( ~ truthday(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday
| truthday(tuesday) ),
inference(resolve,[$cnf( $equal(tuesday,skolemFOFtoCNF_X_3) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( ~ truthday(skolemFOFtoCNF_X_3)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( truthday(tuesday) )],[refute_0_196,refute_0_46]) ).
cnf(refute_0_198,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X_3 = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_199,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X_3 = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X_3) )],[refute_0_124,refute_0_198]) ).
cnf(refute_0_200,plain,
( skolemFOFtoCNF_X_3 != skolemFOFtoCNF_X
| ~ truthday(skolemFOFtoCNF_X)
| truthday(skolemFOFtoCNF_X_3) ),
introduced(tautology,[equality,[$cnf( ~ truthday(skolemFOFtoCNF_X_3) ),[0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_201,plain,
( ~ truthday(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = friday
| truthday(skolemFOFtoCNF_X_3) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,skolemFOFtoCNF_X) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( ~ truthday(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X_3) )],[refute_0_201,refute_0_197]) ).
cnf(refute_0_203,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_2 = friday ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X) )],[refute_0_1,refute_0_202]) ).
cnf(refute_0_204,plain,
( skolemFOFtoCNF_X_2 != friday
| skolemFOFtoCNF_X_3 != consecutive(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X_3 = consecutive(friday) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(skolemFOFtoCNF_X_2)) ),[1,0],$fot(friday)]]) ).
cnf(refute_0_205,plain,
( skolemFOFtoCNF_X_3 != consecutive(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_3 = consecutive(friday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,friday) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_3 = consecutive(friday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(skolemFOFtoCNF_X_2)) )],[refute_0_132,refute_0_205]) ).
cnf(refute_0_207,plain,
( consecutive(friday) != saturday
| skolemFOFtoCNF_X_3 != consecutive(friday)
| skolemFOFtoCNF_X_3 = saturday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(friday)) ),[1],$fot(saturday)]]) ).
cnf(refute_0_208,plain,
( skolemFOFtoCNF_X_3 != consecutive(friday)
| skolemFOFtoCNF_X_3 = saturday ),
inference(resolve,[$cnf( $equal(consecutive(friday),saturday) )],[refute_0_135,refute_0_207]) ).
cnf(refute_0_209,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X_3 = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(friday)) )],[refute_0_206,refute_0_208]) ).
cnf(refute_0_210,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X_3 != saturday
| skolemFOFtoCNF_X = saturday ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_X,saturday) ),[0],$fot(skolemFOFtoCNF_X_3)]]) ).
cnf(refute_0_211,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,saturday) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( skolemFOFtoCNF_X = friday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X_3) )],[refute_0_124,refute_0_211]) ).
cnf(refute_0_213,plain,
( skolemFOFtoCNF_X != friday
| skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X_2 = consecutive(friday) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X)) ),[1,0],$fot(friday)]]) ).
cnf(refute_0_214,plain,
( skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| skolemFOFtoCNF_X_2 = consecutive(friday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,friday) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| skolemFOFtoCNF_X_2 = consecutive(friday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X)) )],[refute_0_94,refute_0_214]) ).
cnf(refute_0_216,plain,
( consecutive(friday) != saturday
| skolemFOFtoCNF_X_2 != consecutive(friday)
| skolemFOFtoCNF_X_2 = saturday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(friday)) ),[1],$fot(saturday)]]) ).
cnf(refute_0_217,plain,
( skolemFOFtoCNF_X_2 != consecutive(friday)
| skolemFOFtoCNF_X_2 = saturday ),
inference(resolve,[$cnf( $equal(consecutive(friday),saturday) )],[refute_0_135,refute_0_216]) ).
cnf(refute_0_218,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| skolemFOFtoCNF_X_2 = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(friday)) )],[refute_0_215,refute_0_217]) ).
cnf(refute_0_219,plain,
( ~ truthday(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_2 ),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_220,plain,
( ~ day2(X)
| ~ day2(saturday)
| truthday(X) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_221,plain,
( ~ day2(saturday)
| ~ day2(skolemFOFtoCNF_X_2)
| truthday(skolemFOFtoCNF_X_2) ),
inference(subst,[],[refute_0_220:[bind(X,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_222,plain,
( ~ day2(saturday)
| truthday(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( day2(skolemFOFtoCNF_X_2) )],[refute_0_38,refute_0_221]) ).
cnf(refute_0_223,plain,
( skolemFOFtoCNF_X_2 != saturday
| ~ day2(skolemFOFtoCNF_X_2)
| day2(saturday) ),
introduced(tautology,[equality,[$cnf( day2(skolemFOFtoCNF_X_2) ),[0],$fot(saturday)]]) ).
cnf(refute_0_224,plain,
( ~ day2(skolemFOFtoCNF_X_2)
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| day2(saturday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,saturday) )],[refute_0_218,refute_0_223]) ).
cnf(refute_0_225,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| day2(saturday) ),
inference(resolve,[$cnf( day2(skolemFOFtoCNF_X_2) )],[refute_0_38,refute_0_224]) ).
cnf(refute_0_226,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| truthday(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( day2(saturday) )],[refute_0_225,refute_0_222]) ).
cnf(refute_0_227,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| skolemFOFtoCNF_X = skolemFOFtoCNF_X_2 ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X_2) )],[refute_0_226,refute_0_219]) ).
cnf(refute_0_228,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_X_2
| skolemFOFtoCNF_X_2 = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_229,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday
| skolemFOFtoCNF_X_2 = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_X_2) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( skolemFOFtoCNF_X_2 != saturday
| skolemFOFtoCNF_X_2 != skolemFOFtoCNF_X
| skolemFOFtoCNF_X = saturday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_2,saturday) ),[0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_231,plain,
( skolemFOFtoCNF_X_2 != saturday
| skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,skolemFOFtoCNF_X) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( skolemFOFtoCNF_X = monday
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,saturday) )],[refute_0_218,refute_0_231]) ).
cnf(refute_0_233,plain,
( skolemFOFtoCNF_X != monday
| ~ truthday(skolemFOFtoCNF_X)
| truthday(monday) ),
introduced(tautology,[equality,[$cnf( truthday(skolemFOFtoCNF_X) ),[0],$fot(monday)]]) ).
cnf(refute_0_234,plain,
( ~ truthday(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = saturday
| truthday(monday) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,monday) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
( skolemFOFtoCNF_X = saturday
| truthday(monday) ),
inference(resolve,[$cnf( truthday(skolemFOFtoCNF_X) )],[refute_0_1,refute_0_234]) ).
cnf(refute_0_236,plain,
( ~ day1(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( truthday(monday) )],[refute_0_235,refute_0_33]) ).
cnf(refute_0_237,plain,
( skolemFOFtoCNF_X_1 != skolemFOFtoCNF_X
| ~ day1(skolemFOFtoCNF_X_1)
| day1(skolemFOFtoCNF_X) ),
introduced(tautology,[equality,[$cnf( day1(skolemFOFtoCNF_X_1) ),[0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_238,plain,
( ~ day1(skolemFOFtoCNF_X_1)
| day1(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_X) )],[refute_0_87,refute_0_237]) ).
cnf(refute_0_239,plain,
day1(skolemFOFtoCNF_X),
inference(resolve,[$cnf( day1(skolemFOFtoCNF_X_1) )],[refute_0_34,refute_0_238]) ).
cnf(refute_0_240,plain,
skolemFOFtoCNF_X = saturday,
inference(resolve,[$cnf( day1(skolemFOFtoCNF_X) )],[refute_0_239,refute_0_236]) ).
cnf(refute_0_241,plain,
( saturday != saturday
| skolemFOFtoCNF_X != saturday
| skolemFOFtoCNF_X = saturday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X,saturday) ),[1],$fot(saturday)]]) ).
cnf(refute_0_242,plain,
( saturday != saturday
| skolemFOFtoCNF_X = saturday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,saturday) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( saturday != saturday
| saturday = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,saturday) )],[refute_0_242,refute_0_30]) ).
cnf(refute_0_244,plain,
( skolemFOFtoCNF_X_3 != consecutive(skolemFOFtoCNF_X_2)
| consecutive(skolemFOFtoCNF_X_2) = skolemFOFtoCNF_X_3 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X_3)),bind(Y0,$fot(consecutive(skolemFOFtoCNF_X_2)))]]) ).
cnf(refute_0_245,plain,
consecutive(skolemFOFtoCNF_X_2) = skolemFOFtoCNF_X_3,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,consecutive(skolemFOFtoCNF_X_2)) )],[refute_0_132,refute_0_244]) ).
cnf(refute_0_246,plain,
consecutive(saturday) = sunday,
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_247,plain,
consecutive(skolemFOFtoCNF_X) = consecutive(skolemFOFtoCNF_X),
introduced(tautology,[refl,[$fot(consecutive(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_248,plain,
( consecutive(skolemFOFtoCNF_X) != consecutive(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X != saturday
| consecutive(skolemFOFtoCNF_X) = consecutive(saturday) ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),consecutive(skolemFOFtoCNF_X)) ),[1,0],$fot(saturday)]]) ).
cnf(refute_0_249,plain,
( skolemFOFtoCNF_X != saturday
| consecutive(skolemFOFtoCNF_X) = consecutive(saturday) ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),consecutive(skolemFOFtoCNF_X)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
consecutive(skolemFOFtoCNF_X) = consecutive(saturday),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,saturday) )],[refute_0_240,refute_0_249]) ).
cnf(refute_0_251,plain,
( Y0 != X0
| Y0 != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_252,plain,
( X0 != Y0
| Y0 != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_17,refute_0_251]) ).
cnf(refute_0_253,plain,
( consecutive(saturday) != sunday
| consecutive(skolemFOFtoCNF_X) != consecutive(saturday)
| consecutive(skolemFOFtoCNF_X) = sunday ),
inference(subst,[],[refute_0_252:[bind(X0,$fot(consecutive(skolemFOFtoCNF_X))),bind(Y0,$fot(consecutive(saturday))),bind(Z,$fot(sunday))]]) ).
cnf(refute_0_254,plain,
( consecutive(saturday) != sunday
| consecutive(skolemFOFtoCNF_X) = sunday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),consecutive(saturday)) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
consecutive(skolemFOFtoCNF_X) = sunday,
inference(resolve,[$cnf( $equal(consecutive(saturday),sunday) )],[refute_0_246,refute_0_254]) ).
cnf(refute_0_256,plain,
( consecutive(skolemFOFtoCNF_X) != sunday
| skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X_2 = sunday ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X)) ),[1],$fot(sunday)]]) ).
cnf(refute_0_257,plain,
( skolemFOFtoCNF_X_2 != consecutive(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X_2 = sunday ),
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X),sunday) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
skolemFOFtoCNF_X_2 = sunday,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,consecutive(skolemFOFtoCNF_X)) )],[refute_0_94,refute_0_257]) ).
cnf(refute_0_259,plain,
( skolemFOFtoCNF_X_2 != sunday
| sunday = skolemFOFtoCNF_X_2 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(skolemFOFtoCNF_X_2)),bind(Y0,$fot(sunday))]]) ).
cnf(refute_0_260,plain,
sunday = skolemFOFtoCNF_X_2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_2,sunday) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
consecutive(sunday) = consecutive(sunday),
introduced(tautology,[refl,[$fot(consecutive(sunday))]]) ).
cnf(refute_0_262,plain,
( consecutive(sunday) != consecutive(sunday)
| sunday != skolemFOFtoCNF_X_2
| consecutive(sunday) = consecutive(skolemFOFtoCNF_X_2) ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(sunday),consecutive(sunday)) ),[1,0],$fot(skolemFOFtoCNF_X_2)]]) ).
cnf(refute_0_263,plain,
( sunday != skolemFOFtoCNF_X_2
| consecutive(sunday) = consecutive(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( $equal(consecutive(sunday),consecutive(sunday)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
consecutive(sunday) = consecutive(skolemFOFtoCNF_X_2),
inference(resolve,[$cnf( $equal(sunday,skolemFOFtoCNF_X_2) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( consecutive(skolemFOFtoCNF_X_2) != skolemFOFtoCNF_X_3
| consecutive(sunday) != consecutive(skolemFOFtoCNF_X_2)
| consecutive(sunday) = skolemFOFtoCNF_X_3 ),
inference(subst,[],[refute_0_252:[bind(X0,$fot(consecutive(sunday))),bind(Y0,$fot(consecutive(skolemFOFtoCNF_X_2))),bind(Z,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_266,plain,
( consecutive(skolemFOFtoCNF_X_2) != skolemFOFtoCNF_X_3
| consecutive(sunday) = skolemFOFtoCNF_X_3 ),
inference(resolve,[$cnf( $equal(consecutive(sunday),consecutive(skolemFOFtoCNF_X_2)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
consecutive(sunday) = skolemFOFtoCNF_X_3,
inference(resolve,[$cnf( $equal(consecutive(skolemFOFtoCNF_X_2),skolemFOFtoCNF_X_3) )],[refute_0_245,refute_0_266]) ).
cnf(refute_0_268,plain,
( consecutive(sunday) != monday
| consecutive(sunday) != skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X_3 = monday ),
introduced(tautology,[equality,[$cnf( $equal(consecutive(sunday),monday) ),[0],$fot(skolemFOFtoCNF_X_3)]]) ).
cnf(refute_0_269,plain,
( consecutive(sunday) != monday
| skolemFOFtoCNF_X_3 = monday ),
inference(resolve,[$cnf( $equal(consecutive(sunday),skolemFOFtoCNF_X_3) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
skolemFOFtoCNF_X_3 = monday,
inference(resolve,[$cnf( $equal(consecutive(sunday),monday) )],[refute_0_58,refute_0_269]) ).
cnf(refute_0_271,plain,
( saturday != skolemFOFtoCNF_X_3
| skolemFOFtoCNF_X_3 != monday
| saturday = monday ),
introduced(tautology,[equality,[$cnf( ~ $equal(saturday,monday) ),[0],$fot(skolemFOFtoCNF_X_3)]]) ).
cnf(refute_0_272,plain,
( saturday != skolemFOFtoCNF_X_3
| saturday = monday ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_3,monday) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
( saturday != saturday
| saturday = monday ),
inference(resolve,[$cnf( $equal(saturday,skolemFOFtoCNF_X_3) )],[refute_0_243,refute_0_272]) ).
cnf(refute_0_274,plain,
saturday = saturday,
introduced(tautology,[refl,[$fot(saturday)]]) ).
cnf(refute_0_275,plain,
saturday = monday,
inference(resolve,[$cnf( $equal(saturday,saturday) )],[refute_0_274,refute_0_273]) ).
cnf(refute_0_276,plain,
monday != saturday,
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_277,plain,
( saturday != monday
| monday = saturday ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(saturday)),bind(Y0,$fot(monday))]]) ).
cnf(refute_0_278,plain,
saturday != monday,
inference(resolve,[$cnf( $equal(monday,saturday) )],[refute_0_277,refute_0_276]) ).
cnf(refute_0_279,plain,
$false,
inference(resolve,[$cnf( $equal(saturday,monday) )],[refute_0_275,refute_0_278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 21:49:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.52/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.69
% 0.52/0.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.52/0.71
%------------------------------------------------------------------------------