TSTP Solution File: PUZ078+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : 300s
% DateTime : Thu Aug 31 13:20:13 EDT 2023
% Result : Theorem 3.89s 1.17s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 33
% Syntax : Number of formulae : 345 ( 103 unt; 0 def)
% Number of atoms : 829 ( 261 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 998 ( 514 ~; 421 |; 44 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 200 ( 10 sgn; 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( sunday = X0
| saturday = X0
| friday = X0
| thursday = X0
| wednesday = X0
| tuesday = X0
| monday = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',days_of_week) ).
fof(f2,axiom,
( saturday != sunday
& friday != sunday
& friday != saturday
& thursday != sunday
& thursday != saturday
& thursday != friday
& wednesday != sunday
& wednesday != saturday
& wednesday != friday
& wednesday != thursday
& tuesday != sunday
& tuesday != saturday
& tuesday != friday
& tuesday != thursday
& tuesday != wednesday
& monday != sunday
& monday != saturday
& monday != friday
& monday != thursday
& monday != wednesday
& monday != tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniquenames) ).
fof(f3,axiom,
! [X0,X1] :
( ( truthday(X1)
& truthday(X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_unique) ).
fof(f4,axiom,
! [X0,X1] :
( ( day1(X1)
& day1(X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_unique) ).
fof(f5,axiom,
! [X0,X1] :
( ( day2(X1)
& day2(X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_unique) ).
fof(f6,axiom,
! [X0,X1] :
( ( day3(X1)
& day3(X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_unique) ).
fof(f7,axiom,
? [X0] : truthday(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_once) ).
fof(f8,axiom,
? [X0] : day1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_once) ).
fof(f9,axiom,
? [X0] : day2(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_once) ).
fof(f10,axiom,
? [X0] : day3(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_once) ).
fof(f11,axiom,
monday = consecutive(sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(f12,axiom,
tuesday = consecutive(monday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
fof(f13,axiom,
wednesday = consecutive(tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
fof(f14,axiom,
thursday = consecutive(wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f15,axiom,
friday = consecutive(thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(f16,axiom,
saturday = consecutive(friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_follows_friday) ).
fof(f17,axiom,
sunday = consecutive(saturday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).
fof(f18,axiom,
! [X0] :
( day1(X0)
<=> day2(consecutive(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_follows_day1) ).
fof(f19,axiom,
! [X0] :
( day2(X0)
<=> day3(consecutive(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_follows_day2) ).
fof(f20,axiom,
! [X0] :
( day1(X0)
=> ( truthday(X0)
<=> ( ~ truthday(tuesday)
& ~ truthday(monday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement1) ).
fof(f21,axiom,
! [X0] :
( day2(X0)
=> ( truthday(X0)
<=> ( day2(sunday)
| day2(saturday)
| day2(thursday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement2) ).
fof(f22,axiom,
! [X0] :
( day3(X0)
=> ( truthday(X0)
<=> ( ~ truthday(friday)
& ~ truthday(wednesday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement3) ).
fof(f23,conjecture,
truthday(tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_leo_tells_truths) ).
fof(f24,negated_conjecture,
~ truthday(tuesday),
inference(negated_conjecture,[],[f23]) ).
fof(f25,plain,
~ truthday(tuesday),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| ~ truthday(X1)
| ~ truthday(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ truthday(X1)
| ~ truthday(X0) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( X0 = X1
| ~ day1(X1)
| ~ day1(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| ~ day1(X1)
| ~ day1(X0) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( X0 = X1
| ~ day2(X1)
| ~ day2(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| ~ day2(X1)
| ~ day2(X0) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ day3(X1)
| ~ day3(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ day3(X1)
| ~ day3(X0) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( truthday(X0)
<=> ( ~ truthday(tuesday)
& ~ truthday(monday) ) )
| ~ day1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0] :
( ( truthday(X0)
<=> ( day2(sunday)
| day2(saturday)
| day2(thursday) ) )
| ~ day2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0] :
( ( truthday(X0)
<=> ( ~ truthday(friday)
& ~ truthday(wednesday) ) )
| ~ day3(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f37,plain,
( ? [X0] : truthday(X0)
=> truthday(sK0) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
truthday(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f37]) ).
fof(f39,plain,
( ? [X0] : day1(X0)
=> day1(sK1) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
day1(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f8,f39]) ).
fof(f41,plain,
( ? [X0] : day2(X0)
=> day2(sK2) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
day2(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f9,f41]) ).
fof(f43,plain,
( ? [X0] : day3(X0)
=> day3(sK3) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
day3(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f10,f43]) ).
fof(f45,plain,
! [X0] :
( ( day1(X0)
| ~ day2(consecutive(X0)) )
& ( day2(consecutive(X0))
| ~ day1(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f46,plain,
! [X0] :
( ( day2(X0)
| ~ day3(consecutive(X0)) )
& ( day3(consecutive(X0))
| ~ day2(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f47,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(tuesday)
| truthday(monday) )
& ( ( ~ truthday(tuesday)
& ~ truthday(monday) )
| ~ truthday(X0) ) )
| ~ day1(X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f48,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(tuesday)
| truthday(monday) )
& ( ( ~ truthday(tuesday)
& ~ truthday(monday) )
| ~ truthday(X0) ) )
| ~ day1(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ( ( truthday(X0)
| ( ~ day2(sunday)
& ~ day2(saturday)
& ~ day2(thursday) ) )
& ( day2(sunday)
| day2(saturday)
| day2(thursday)
| ~ truthday(X0) ) )
| ~ day2(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f50,plain,
! [X0] :
( ( ( truthday(X0)
| ( ~ day2(sunday)
& ~ day2(saturday)
& ~ day2(thursday) ) )
& ( day2(sunday)
| day2(saturday)
| day2(thursday)
| ~ truthday(X0) ) )
| ~ day2(X0) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(friday)
| truthday(wednesday) )
& ( ( ~ truthday(friday)
& ~ truthday(wednesday) )
| ~ truthday(X0) ) )
| ~ day3(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f52,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(friday)
| truthday(wednesday) )
& ( ( ~ truthday(friday)
& ~ truthday(wednesday) )
| ~ truthday(X0) ) )
| ~ day3(X0) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0] :
( sunday = X0
| saturday = X0
| friday = X0
| thursday = X0
| wednesday = X0
| tuesday = X0
| monday = X0 ),
inference(cnf_transformation,[],[f1]) ).
fof(f55,plain,
monday != wednesday,
inference(cnf_transformation,[],[f2]) ).
fof(f56,plain,
monday != thursday,
inference(cnf_transformation,[],[f2]) ).
fof(f57,plain,
monday != friday,
inference(cnf_transformation,[],[f2]) ).
fof(f58,plain,
monday != saturday,
inference(cnf_transformation,[],[f2]) ).
fof(f59,plain,
monday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f64,plain,
tuesday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
wednesday != thursday,
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
wednesday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
thursday != friday,
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
thursday != saturday,
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
thursday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
friday != saturday,
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
friday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
saturday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ~ truthday(X1)
| ~ truthday(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ~ day1(X1)
| ~ day1(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ~ day2(X1)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = X1
| ~ day3(X1)
| ~ day3(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
truthday(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f80,plain,
day1(sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f81,plain,
day2(sK2),
inference(cnf_transformation,[],[f42]) ).
fof(f82,plain,
day3(sK3),
inference(cnf_transformation,[],[f44]) ).
fof(f83,plain,
monday = consecutive(sunday),
inference(cnf_transformation,[],[f11]) ).
fof(f84,plain,
tuesday = consecutive(monday),
inference(cnf_transformation,[],[f12]) ).
fof(f85,plain,
wednesday = consecutive(tuesday),
inference(cnf_transformation,[],[f13]) ).
fof(f86,plain,
thursday = consecutive(wednesday),
inference(cnf_transformation,[],[f14]) ).
fof(f87,plain,
friday = consecutive(thursday),
inference(cnf_transformation,[],[f15]) ).
fof(f88,plain,
saturday = consecutive(friday),
inference(cnf_transformation,[],[f16]) ).
fof(f89,plain,
sunday = consecutive(saturday),
inference(cnf_transformation,[],[f17]) ).
fof(f90,plain,
! [X0] :
( day2(consecutive(X0))
| ~ day1(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
! [X0] :
( day1(X0)
| ~ day2(consecutive(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f92,plain,
! [X0] :
( day3(consecutive(X0))
| ~ day2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f93,plain,
! [X0] :
( day2(X0)
| ~ day3(consecutive(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0] :
( ~ truthday(monday)
| ~ truthday(X0)
| ~ day1(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f96,plain,
! [X0] :
( truthday(X0)
| truthday(tuesday)
| truthday(monday)
| ~ day1(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f97,plain,
! [X0] :
( day2(sunday)
| day2(saturday)
| day2(thursday)
| ~ truthday(X0)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f98,plain,
! [X0] :
( truthday(X0)
| ~ day2(thursday)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f99,plain,
! [X0] :
( truthday(X0)
| ~ day2(saturday)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f100,plain,
! [X0] :
( truthday(X0)
| ~ day2(sunday)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f101,plain,
! [X0] :
( ~ truthday(wednesday)
| ~ truthday(X0)
| ~ day3(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f103,plain,
! [X0] :
( truthday(X0)
| truthday(friday)
| truthday(wednesday)
| ~ day3(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
~ truthday(tuesday),
inference(cnf_transformation,[],[f25]) ).
cnf(c_49,plain,
( X0 = sunday
| X0 = saturday
| X0 = friday
| X0 = thursday
| X0 = wednesday
| X0 = tuesday
| X0 = monday ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_50,plain,
sunday != saturday,
inference(cnf_transformation,[],[f74]) ).
cnf(c_51,plain,
sunday != friday,
inference(cnf_transformation,[],[f73]) ).
cnf(c_52,plain,
saturday != friday,
inference(cnf_transformation,[],[f72]) ).
cnf(c_53,plain,
sunday != thursday,
inference(cnf_transformation,[],[f71]) ).
cnf(c_54,plain,
saturday != thursday,
inference(cnf_transformation,[],[f70]) ).
cnf(c_55,plain,
friday != thursday,
inference(cnf_transformation,[],[f69]) ).
cnf(c_56,plain,
sunday != wednesday,
inference(cnf_transformation,[],[f68]) ).
cnf(c_59,plain,
thursday != wednesday,
inference(cnf_transformation,[],[f65]) ).
cnf(c_60,plain,
sunday != tuesday,
inference(cnf_transformation,[],[f64]) ).
cnf(c_65,plain,
sunday != monday,
inference(cnf_transformation,[],[f59]) ).
cnf(c_66,plain,
saturday != monday,
inference(cnf_transformation,[],[f58]) ).
cnf(c_67,plain,
friday != monday,
inference(cnf_transformation,[],[f57]) ).
cnf(c_68,plain,
thursday != monday,
inference(cnf_transformation,[],[f56]) ).
cnf(c_69,plain,
wednesday != monday,
inference(cnf_transformation,[],[f55]) ).
cnf(c_71,plain,
( ~ truthday(X0)
| ~ truthday(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_72,plain,
( ~ day1(X0)
| ~ day1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_73,plain,
( ~ day2(X0)
| ~ day2(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_74,plain,
( ~ day3(X0)
| ~ day3(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_75,plain,
truthday(sK0),
inference(cnf_transformation,[],[f79]) ).
cnf(c_76,plain,
day1(sK1),
inference(cnf_transformation,[],[f80]) ).
cnf(c_77,plain,
day2(sK2),
inference(cnf_transformation,[],[f81]) ).
cnf(c_78,plain,
day3(sK3),
inference(cnf_transformation,[],[f82]) ).
cnf(c_79,plain,
consecutive(sunday) = monday,
inference(cnf_transformation,[],[f83]) ).
cnf(c_80,plain,
consecutive(monday) = tuesday,
inference(cnf_transformation,[],[f84]) ).
cnf(c_81,plain,
consecutive(tuesday) = wednesday,
inference(cnf_transformation,[],[f85]) ).
cnf(c_82,plain,
consecutive(wednesday) = thursday,
inference(cnf_transformation,[],[f86]) ).
cnf(c_83,plain,
consecutive(thursday) = friday,
inference(cnf_transformation,[],[f87]) ).
cnf(c_84,plain,
consecutive(friday) = saturday,
inference(cnf_transformation,[],[f88]) ).
cnf(c_85,plain,
consecutive(saturday) = sunday,
inference(cnf_transformation,[],[f89]) ).
cnf(c_86,plain,
( ~ day2(consecutive(X0))
| day1(X0) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_87,plain,
( ~ day1(X0)
| day2(consecutive(X0)) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_88,plain,
( ~ day3(consecutive(X0))
| day2(X0) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_89,plain,
( ~ day2(X0)
| day3(consecutive(X0)) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_90,plain,
( ~ day1(X0)
| truthday(X0)
| truthday(tuesday)
| truthday(monday) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_92,plain,
( ~ truthday(X0)
| ~ day1(X0)
| ~ truthday(monday) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_93,plain,
( ~ day2(X0)
| ~ day2(sunday)
| truthday(X0) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_94,plain,
( ~ day2(X0)
| ~ day2(saturday)
| truthday(X0) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_95,plain,
( ~ day2(X0)
| ~ day2(thursday)
| truthday(X0) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_96,plain,
( ~ truthday(X0)
| ~ day2(X0)
| day2(sunday)
| day2(saturday)
| day2(thursday) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_97,plain,
( ~ day3(X0)
| truthday(X0)
| truthday(friday)
| truthday(wednesday) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_99,plain,
( ~ truthday(X0)
| ~ day3(X0)
| ~ truthday(wednesday) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_100,negated_conjecture,
~ truthday(tuesday),
inference(cnf_transformation,[],[f104]) ).
cnf(c_108,plain,
( ~ day3(tuesday)
| truthday(friday)
| truthday(wednesday)
| truthday(tuesday) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_109,plain,
( ~ day1(tuesday)
| truthday(tuesday)
| truthday(monday) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_116,plain,
( truthday(X0)
| ~ day1(X0)
| truthday(monday) ),
inference(global_subsumption_just,[status(thm)],[c_90,c_100,c_90]) ).
cnf(c_117,plain,
( ~ day1(X0)
| truthday(X0)
| truthday(monday) ),
inference(renaming,[status(thm)],[c_116]) ).
cnf(c_654,plain,
( ~ day3(X0)
| truthday(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_97]) ).
cnf(c_655,plain,
( truthday(friday)
| truthday(wednesday)
| sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_97]) ).
cnf(c_656,plain,
( ~ day2(X0)
| ~ truthday(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_96]) ).
cnf(c_657,plain,
( day2(sunday)
| day2(saturday)
| day2(thursday)
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_96]) ).
cnf(c_658,plain,
X0 = X0,
theory(equality) ).
cnf(c_660,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_661,plain,
( X0 != X1
| ~ truthday(X1)
| truthday(X0) ),
theory(equality) ).
cnf(c_662,plain,
( X0 != X1
| ~ day1(X1)
| day1(X0) ),
theory(equality) ).
cnf(c_663,plain,
( X0 != X1
| ~ day2(X1)
| day2(X0) ),
theory(equality) ).
cnf(c_664,plain,
( X0 != X1
| ~ day3(X1)
| day3(X0) ),
theory(equality) ).
cnf(c_1356,plain,
( ~ truthday(sunday)
| ~ truthday(saturday) ),
inference(resolution,[status(thm)],[c_71,c_50]) ).
cnf(c_1360,plain,
( ~ truthday(saturday)
| ~ truthday(thursday) ),
inference(resolution,[status(thm)],[c_71,c_54]) ).
cnf(c_1361,plain,
( ~ truthday(friday)
| ~ truthday(thursday) ),
inference(resolution,[status(thm)],[c_71,c_55]) ).
cnf(c_1362,plain,
( ~ truthday(sunday)
| ~ truthday(wednesday) ),
inference(resolution,[status(thm)],[c_71,c_56]) ).
cnf(c_1365,plain,
( ~ truthday(thursday)
| ~ truthday(wednesday) ),
inference(resolution,[status(thm)],[c_71,c_59]) ).
cnf(c_1373,plain,
( ~ truthday(friday)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_71,c_67]) ).
cnf(c_1374,plain,
( ~ truthday(thursday)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_71,c_68]) ).
cnf(c_1375,plain,
( ~ truthday(wednesday)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_71,c_69]) ).
cnf(c_1410,plain,
( ~ day1(saturday)
| ~ day1(thursday) ),
inference(resolution,[status(thm)],[c_72,c_54]) ).
cnf(c_1427,plain,
( ~ truthday(X0)
| ~ truthday(sK0)
| X0 = sK0 ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1429,plain,
( X0 != sK0
| ~ truthday(sK0)
| truthday(X0) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_1430,plain,
( tuesday != sK0
| ~ truthday(sK0)
| truthday(tuesday) ),
inference(instantiation,[status(thm)],[c_1429]) ).
cnf(c_1433,plain,
( sunday = sunday
| sunday = saturday
| sunday = friday
| sunday = thursday
| sunday = wednesday
| sunday = tuesday
| sunday = monday ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1444,plain,
( ~ day2(thursday)
| truthday(thursday) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_1467,plain,
( ~ day2(consecutive(thursday))
| ~ day1(saturday) ),
inference(resolution,[status(thm)],[c_1410,c_86]) ).
cnf(c_1494,plain,
( X0 != sK1
| ~ day1(sK1)
| day1(X0) ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_1501,plain,
( ~ day2(wednesday)
| day1(tuesday) ),
inference(superposition,[status(thm)],[c_81,c_86]) ).
cnf(c_1503,plain,
( ~ day2(friday)
| day1(thursday) ),
inference(superposition,[status(thm)],[c_83,c_86]) ).
cnf(c_1504,plain,
( ~ day2(saturday)
| day1(friday) ),
inference(superposition,[status(thm)],[c_84,c_86]) ).
cnf(c_1522,plain,
( X0 != sK3
| ~ day3(sK3)
| day3(X0) ),
inference(instantiation,[status(thm)],[c_664]) ).
cnf(c_1523,plain,
( tuesday != sK3
| ~ day3(sK3)
| day3(tuesday) ),
inference(instantiation,[status(thm)],[c_1522]) ).
cnf(c_1545,plain,
( sunday != X0
| monday != X0
| sunday = monday ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1546,plain,
( saturday != X0
| monday != X0
| saturday = monday ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1547,plain,
( friday != X0
| monday != X0
| friday = monday ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1548,plain,
( thursday != X0
| monday != X0
| thursday = monday ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1549,plain,
( wednesday != X0
| monday != X0
| wednesday = monday ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1579,plain,
( ~ day3(consecutive(consecutive(thursday)))
| ~ day1(saturday) ),
inference(resolution,[status(thm)],[c_1467,c_88]) ).
cnf(c_1594,plain,
( ~ day1(monday)
| day2(tuesday) ),
inference(superposition,[status(thm)],[c_80,c_87]) ).
cnf(c_1596,plain,
( ~ day1(wednesday)
| day2(thursday) ),
inference(superposition,[status(thm)],[c_82,c_87]) ).
cnf(c_1598,plain,
( ~ day1(friday)
| day2(saturday) ),
inference(superposition,[status(thm)],[c_84,c_87]) ).
cnf(c_1599,plain,
( ~ day1(saturday)
| day2(sunday) ),
inference(superposition,[status(thm)],[c_85,c_87]) ).
cnf(c_1641,plain,
( ~ day3(monday)
| day2(sunday) ),
inference(superposition,[status(thm)],[c_79,c_88]) ).
cnf(c_1643,plain,
( ~ day3(wednesday)
| day2(tuesday) ),
inference(superposition,[status(thm)],[c_81,c_88]) ).
cnf(c_1644,plain,
( ~ day3(thursday)
| day2(wednesday) ),
inference(superposition,[status(thm)],[c_82,c_88]) ).
cnf(c_1645,plain,
( ~ day3(friday)
| day2(thursday) ),
inference(superposition,[status(thm)],[c_83,c_88]) ).
cnf(c_1646,plain,
( ~ day3(saturday)
| day2(friday) ),
inference(superposition,[status(thm)],[c_84,c_88]) ).
cnf(c_1647,plain,
( ~ day3(sunday)
| day2(saturday) ),
inference(superposition,[status(thm)],[c_85,c_88]) ).
cnf(c_1727,plain,
( ~ day2(sunday)
| ~ day2(friday) ),
inference(resolution,[status(thm)],[c_73,c_51]) ).
cnf(c_1728,plain,
( ~ day2(saturday)
| ~ day2(friday) ),
inference(resolution,[status(thm)],[c_73,c_52]) ).
cnf(c_1731,plain,
( ~ day2(friday)
| ~ day2(thursday) ),
inference(resolution,[status(thm)],[c_73,c_55]) ).
cnf(c_1756,plain,
( ~ truthday(monday)
| ~ truthday(sK0)
| monday = sK0 ),
inference(instantiation,[status(thm)],[c_1427]) ).
cnf(c_1759,plain,
( ~ day2(tuesday)
| day3(wednesday) ),
inference(superposition,[status(thm)],[c_81,c_89]) ).
cnf(c_1761,plain,
( ~ day2(thursday)
| day3(friday) ),
inference(superposition,[status(thm)],[c_83,c_89]) ).
cnf(c_1773,plain,
( X0 != X1
| sunday != X1
| sunday = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1812,plain,
( ~ day2(friday)
| day2(sunday)
| day2(saturday)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_1731,c_657]) ).
cnf(c_1813,plain,
( ~ day2(friday)
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1812,c_1727,c_1728,c_1812]) ).
cnf(c_1821,plain,
( ~ day2(saturday)
| truthday(sK2) ),
inference(superposition,[status(thm)],[c_77,c_94]) ).
cnf(c_1829,plain,
saturday = saturday,
inference(instantiation,[status(thm)],[c_658]) ).
cnf(c_1830,plain,
( X0 != X1
| saturday != X1
| saturday = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1852,plain,
friday = friday,
inference(instantiation,[status(thm)],[c_658]) ).
cnf(c_1853,plain,
( X0 != X1
| friday != X1
| friday = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1879,plain,
thursday = thursday,
inference(instantiation,[status(thm)],[c_658]) ).
cnf(c_1880,plain,
( X0 != X1
| thursday != X1
| thursday = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1894,plain,
( ~ truthday(wednesday)
| ~ day3(wednesday)
| truthday(friday)
| sP0_iProver_split ),
inference(superposition,[status(thm)],[c_655,c_99]) ).
cnf(c_1982,plain,
wednesday = wednesday,
inference(instantiation,[status(thm)],[c_658]) ).
cnf(c_1983,plain,
( X0 != X1
| wednesday != X1
| wednesday = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1984,plain,
( ~ truthday(X0)
| X0 = sK0 ),
inference(superposition,[status(thm)],[c_75,c_71]) ).
cnf(c_1990,plain,
( X0 != X1
| monday != X1
| monday = X0 ),
inference(instantiation,[status(thm)],[c_660]) ).
cnf(c_1997,plain,
( ~ truthday(sK2)
| ~ day2(sK2)
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_656]) ).
cnf(c_2005,plain,
( truthday(monday)
| truthday(sK1) ),
inference(superposition,[status(thm)],[c_76,c_117]) ).
cnf(c_2008,plain,
( ~ truthday(X0)
| X0 = sK1
| truthday(monday) ),
inference(superposition,[status(thm)],[c_2005,c_71]) ).
cnf(c_2090,plain,
( ~ sP0_iProver_split
| truthday(sK3) ),
inference(superposition,[status(thm)],[c_78,c_654]) ).
cnf(c_2091,plain,
( ~ day2(X0)
| ~ sP0_iProver_split
| truthday(consecutive(X0)) ),
inference(superposition,[status(thm)],[c_89,c_654]) ).
cnf(c_2108,plain,
( ~ truthday(sunday)
| ~ day2(saturday) ),
inference(resolution,[status(thm)],[c_94,c_1356]) ).
cnf(c_2159,plain,
( ~ truthday(friday)
| ~ day2(thursday) ),
inference(resolution,[status(thm)],[c_95,c_1361]) ).
cnf(c_2160,plain,
( ~ truthday(saturday)
| ~ day2(thursday) ),
inference(resolution,[status(thm)],[c_95,c_1360]) ).
cnf(c_2165,plain,
( ~ truthday(X0)
| ~ sP0_iProver_split
| X0 = sK3 ),
inference(superposition,[status(thm)],[c_2090,c_71]) ).
cnf(c_2166,plain,
( ~ truthday(wednesday)
| ~ day3(sK3)
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_2090,c_99]) ).
cnf(c_2168,plain,
( ~ truthday(monday)
| ~ day1(sK3)
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_2090,c_92]) ).
cnf(c_2184,plain,
( ~ truthday(friday)
| day2(sunday)
| day2(saturday)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2159,c_657]) ).
cnf(c_2300,plain,
( ~ sP0_iProver_split
| truthday(sK3) ),
inference(superposition,[status(thm)],[c_78,c_654]) ).
cnf(c_2320,plain,
( ~ sP0_iProver_split
| sK0 = sK3 ),
inference(superposition,[status(thm)],[c_2300,c_1984]) ).
cnf(c_2398,plain,
( friday != X0
| ~ day2(X0)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_663,c_1813]) ).
cnf(c_2420,plain,
( wednesday != sK0
| monday != sK0
| wednesday = monday ),
inference(instantiation,[status(thm)],[c_1549]) ).
cnf(c_2421,plain,
( thursday != sK0
| monday != sK0
| thursday = monday ),
inference(instantiation,[status(thm)],[c_1548]) ).
cnf(c_2422,plain,
( friday != sK0
| monday != sK0
| friday = monday ),
inference(instantiation,[status(thm)],[c_1547]) ).
cnf(c_2423,plain,
( saturday != sK0
| monday != sK0
| saturday = monday ),
inference(instantiation,[status(thm)],[c_1546]) ).
cnf(c_2424,plain,
( sunday != sK0
| monday != sK0
| sunday = monday ),
inference(instantiation,[status(thm)],[c_1545]) ).
cnf(c_2531,plain,
( ~ day2(sunday)
| ~ sP0_iProver_split
| truthday(monday) ),
inference(superposition,[status(thm)],[c_79,c_2091]) ).
cnf(c_2533,plain,
( ~ day2(tuesday)
| ~ sP0_iProver_split
| truthday(wednesday) ),
inference(superposition,[status(thm)],[c_81,c_2091]) ).
cnf(c_2534,plain,
( ~ day2(wednesday)
| ~ sP0_iProver_split
| truthday(thursday) ),
inference(superposition,[status(thm)],[c_82,c_2091]) ).
cnf(c_2535,plain,
( ~ day2(thursday)
| ~ sP0_iProver_split
| truthday(friday) ),
inference(superposition,[status(thm)],[c_83,c_2091]) ).
cnf(c_2537,plain,
( ~ day2(saturday)
| ~ sP0_iProver_split
| truthday(sunday) ),
inference(superposition,[status(thm)],[c_85,c_2091]) ).
cnf(c_2550,plain,
( ~ day2(X0)
| ~ day3(X0)
| ~ day3(friday)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2398,c_74]) ).
cnf(c_2552,plain,
( ~ day1(X0)
| ~ day2(X0)
| ~ day1(friday)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2398,c_72]) ).
cnf(c_2553,plain,
( ~ truthday(X0)
| ~ day2(X0)
| ~ truthday(friday)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2398,c_71]) ).
cnf(c_2554,plain,
( ~ day2(X0)
| ~ truthday(friday)
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2553,c_94,c_93,c_2184,c_2553]) ).
cnf(c_2558,plain,
( ~ day1(friday)
| ~ day2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2552,c_77,c_76,c_94,c_655,c_1375,c_1494,c_1598,c_1821,c_1997,c_2008,c_2108,c_2537,c_2554,c_2552]) ).
cnf(c_2559,plain,
( ~ day2(X0)
| ~ day1(friday) ),
inference(renaming,[status(thm)],[c_2558]) ).
cnf(c_2562,plain,
~ day3(friday),
inference(global_subsumption_just,[status(thm)],[c_2550,c_655,c_1365,c_1444,c_1645,c_2159,c_2535]) ).
cnf(c_2570,plain,
( ~ truthday(saturday)
| day2(sunday)
| day2(saturday)
| sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2160,c_657]) ).
cnf(c_2571,plain,
( day2(sunday)
| day2(saturday)
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2570,c_655,c_657,c_1365,c_1444,c_2159,c_2535]) ).
cnf(c_2595,plain,
~ day1(friday),
inference(resolution,[status(thm)],[c_2559,c_77]) ).
cnf(c_2597,plain,
( friday != X0
| ~ day1(X0) ),
inference(resolution,[status(thm)],[c_2595,c_662]) ).
cnf(c_2598,plain,
~ day2(consecutive(friday)),
inference(resolution,[status(thm)],[c_2595,c_86]) ).
cnf(c_2600,plain,
( consecutive(friday) != X0
| ~ day2(X0) ),
inference(resolution,[status(thm)],[c_2598,c_663]) ).
cnf(c_2620,plain,
( ~ truthday(X0)
| ~ day1(X0)
| ~ truthday(friday) ),
inference(resolution,[status(thm)],[c_2597,c_71]) ).
cnf(c_2621,plain,
( ~ day1(X0)
| ~ truthday(friday) ),
inference(global_subsumption_just,[status(thm)],[c_2620,c_100,c_90,c_1373,c_2620]) ).
cnf(c_2634,plain,
~ day2(saturday),
inference(resolution,[status(thm)],[c_2600,c_84]) ).
cnf(c_2645,plain,
( day2(sunday)
| sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2571,c_2634]) ).
cnf(c_2653,plain,
~ truthday(friday),
inference(resolution,[status(thm)],[c_2621,c_76]) ).
cnf(c_2677,plain,
( ~ truthday(wednesday)
| ~ truthday(sK3) ),
inference(resolution,[status(thm)],[c_99,c_78]) ).
cnf(c_2682,plain,
( ~ truthday(wednesday)
| ~ day2(thursday)
| ~ day2(sK3) ),
inference(resolution,[status(thm)],[c_2677,c_95]) ).
cnf(c_2684,plain,
~ day2(thursday),
inference(global_subsumption_just,[status(thm)],[c_2682,c_655,c_1365,c_1444,c_2159,c_2535]) ).
cnf(c_2687,plain,
( thursday != X0
| ~ day2(X0) ),
inference(resolution,[status(thm)],[c_2684,c_663]) ).
cnf(c_2693,plain,
( ~ day2(X0)
| ~ day3(X0)
| ~ day3(thursday) ),
inference(resolution,[status(thm)],[c_2687,c_74]) ).
cnf(c_2697,plain,
~ day3(thursday),
inference(global_subsumption_just,[status(thm)],[c_2693,c_100,c_109,c_655,c_1374,c_1375,c_1501,c_1644,c_2534,c_2653]) ).
cnf(c_2704,plain,
( ~ day1(X0)
| ~ truthday(wednesday)
| truthday(X0) ),
inference(resolution,[status(thm)],[c_117,c_1375]) ).
cnf(c_2716,plain,
( ~ truthday(wednesday)
| ~ day3(monday)
| ~ sP0_iProver_split ),
inference(resolution,[status(thm)],[c_654,c_1375]) ).
cnf(c_2726,plain,
( ~ truthday(wednesday)
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2716,c_78,c_2166]) ).
cnf(c_2731,plain,
( ~ truthday(sunday)
| ~ day3(wednesday)
| ~ sP0_iProver_split ),
inference(resolution,[status(thm)],[c_654,c_1362]) ).
cnf(c_2732,plain,
( ~ day3(wednesday)
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2731,c_655,c_1643,c_1894,c_2533,c_2653,c_2726]) ).
cnf(c_2734,plain,
~ day3(wednesday),
inference(global_subsumption_just,[status(thm)],[c_2732,c_655,c_1894,c_2653,c_2732]) ).
cnf(c_2789,plain,
( truthday(wednesday)
| sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_655,c_2653]) ).
cnf(c_2797,plain,
( ~ truthday(sunday)
| sP0_iProver_split ),
inference(resolution,[status(thm)],[c_2789,c_1362]) ).
cnf(c_2809,plain,
( ~ day2(sunday)
| sP0_iProver_split ),
inference(resolution,[status(thm)],[c_2797,c_93]) ).
cnf(c_2812,plain,
( sunday != X0
| ~ day2(X0)
| sP0_iProver_split ),
inference(resolution,[status(thm)],[c_2809,c_663]) ).
cnf(c_2834,plain,
( ~ truthday(sK2)
| ~ sP1_iProver_split ),
inference(resolution,[status(thm)],[c_656,c_77]) ).
cnf(c_2841,plain,
( ~ day2(sunday)
| ~ day2(sK2)
| ~ sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2834,c_93]) ).
cnf(c_2842,plain,
( ~ day2(sunday)
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2841,c_77,c_2841]) ).
cnf(c_2846,plain,
( sunday != X0
| ~ day2(X0)
| ~ sP1_iProver_split ),
inference(resolution,[status(thm)],[c_2842,c_663]) ).
cnf(c_2861,plain,
( sunday != X0
| wednesday != X0 ),
inference(resolution,[status(thm)],[c_660,c_56]) ).
cnf(c_2870,plain,
( sunday != X0
| monday != X0 ),
inference(resolution,[status(thm)],[c_660,c_65]) ).
cnf(c_2872,plain,
( friday != X0
| monday != X0 ),
inference(resolution,[status(thm)],[c_660,c_67]) ).
cnf(c_2874,plain,
( wednesday != X0
| monday != X0 ),
inference(resolution,[status(thm)],[c_660,c_69]) ).
cnf(c_2941,plain,
( sunday != X0
| ~ day1(X0)
| ~ day1(wednesday) ),
inference(resolution,[status(thm)],[c_2861,c_72]) ).
cnf(c_2943,plain,
~ day1(wednesday),
inference(global_subsumption_just,[status(thm)],[c_2941,c_1596,c_1761,c_2562]) ).
cnf(c_2950,plain,
( wednesday != X0
| ~ day1(X0) ),
inference(resolution,[status(thm)],[c_2943,c_662]) ).
cnf(c_3052,plain,
( sunday != X0
| ~ day2(X0)
| ~ day2(monday) ),
inference(resolution,[status(thm)],[c_2870,c_73]) ).
cnf(c_3053,plain,
( sunday != X0
| ~ day1(X0)
| ~ day1(monday) ),
inference(resolution,[status(thm)],[c_2870,c_72]) ).
cnf(c_3054,plain,
( sunday != X0
| ~ truthday(X0)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_2870,c_71]) ).
cnf(c_3055,plain,
~ day1(monday),
inference(global_subsumption_just,[status(thm)],[c_3053,c_1594,c_1759,c_2734]) ).
cnf(c_3057,plain,
( ~ day2(X0)
| sunday != X0 ),
inference(global_subsumption_just,[status(thm)],[c_3052,c_93,c_2531,c_2645,c_2812,c_2846,c_3054]) ).
cnf(c_3058,plain,
( sunday != X0
| ~ day2(X0) ),
inference(renaming,[status(thm)],[c_3057]) ).
cnf(c_3062,plain,
( monday != X0
| ~ day1(X0) ),
inference(resolution,[status(thm)],[c_3055,c_662]) ).
cnf(c_3075,plain,
( ~ truthday(X0)
| ~ day1(X0)
| ~ truthday(wednesday) ),
inference(resolution,[status(thm)],[c_2950,c_71]) ).
cnf(c_3076,plain,
( ~ day1(X0)
| ~ truthday(wednesday) ),
inference(global_subsumption_just,[status(thm)],[c_3075,c_2704,c_3075]) ).
cnf(c_3093,plain,
( friday != X0
| ~ truthday(X0)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_2872,c_71]) ).
cnf(c_3094,plain,
( ~ truthday(X0)
| friday != X0 ),
inference(global_subsumption_just,[status(thm)],[c_3093,c_76,c_1494,c_2008,c_2597,c_3093]) ).
cnf(c_3095,plain,
( friday != X0
| ~ truthday(X0) ),
inference(renaming,[status(thm)],[c_3094]) ).
cnf(c_3111,plain,
( wednesday != X0
| ~ truthday(X0)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_2874,c_71]) ).
cnf(c_3112,plain,
( ~ truthday(X0)
| wednesday != X0 ),
inference(global_subsumption_just,[status(thm)],[c_3111,c_76,c_1494,c_2008,c_2950,c_3111]) ).
cnf(c_3113,plain,
( wednesday != X0
| ~ truthday(X0) ),
inference(renaming,[status(thm)],[c_3112]) ).
cnf(c_3179,plain,
( ~ day2(X0)
| ~ day3(X0)
| ~ day3(sunday) ),
inference(resolution,[status(thm)],[c_3058,c_74]) ).
cnf(c_3183,plain,
~ day3(sunday),
inference(global_subsumption_just,[status(thm)],[c_3179,c_1504,c_1647,c_2595]) ).
cnf(c_3185,plain,
~ day2(sunday),
inference(resolution,[status(thm)],[c_3058,c_658]) ).
cnf(c_3212,plain,
( ~ day1(X0)
| ~ day3(X0)
| ~ day3(monday) ),
inference(resolution,[status(thm)],[c_3062,c_74]) ).
cnf(c_3216,plain,
~ day3(monday),
inference(global_subsumption_just,[status(thm)],[c_3212,c_1641,c_3185]) ).
cnf(c_3237,plain,
~ truthday(wednesday),
inference(resolution,[status(thm)],[c_3076,c_76]) ).
cnf(c_3475,plain,
( consecutive(consecutive(thursday)) != X0
| ~ day3(X0)
| ~ day1(saturday) ),
inference(resolution,[status(thm)],[c_664,c_1579]) ).
cnf(c_3477,plain,
~ day1(saturday),
inference(global_subsumption_just,[status(thm)],[c_3475,c_1599,c_3185]) ).
cnf(c_3482,plain,
( monday != X0
| ~ day3(X0) ),
inference(resolution,[status(thm)],[c_664,c_3216]) ).
cnf(c_3484,plain,
( thursday != X0
| ~ day3(X0) ),
inference(resolution,[status(thm)],[c_664,c_2697]) ).
cnf(c_3487,plain,
( sunday != X0
| ~ day3(X0) ),
inference(resolution,[status(thm)],[c_664,c_3183]) ).
cnf(c_3504,plain,
( saturday != X0
| ~ day1(X0) ),
inference(resolution,[status(thm)],[c_3477,c_662]) ).
cnf(c_3556,plain,
( X0 != sunday
| sunday != sunday
| sunday = X0 ),
inference(instantiation,[status(thm)],[c_1773]) ).
cnf(c_3561,plain,
( X0 != saturday
| saturday != saturday
| saturday = X0 ),
inference(instantiation,[status(thm)],[c_1830]) ).
cnf(c_3577,plain,
( X0 != friday
| friday != friday
| friday = X0 ),
inference(instantiation,[status(thm)],[c_1853]) ).
cnf(c_3582,plain,
( X0 != thursday
| thursday != thursday
| thursday = X0 ),
inference(instantiation,[status(thm)],[c_1880]) ).
cnf(c_3588,plain,
( X0 != wednesday
| wednesday != wednesday
| wednesday = X0 ),
inference(instantiation,[status(thm)],[c_1983]) ).
cnf(c_3604,plain,
( X0 != monday
| monday != monday
| monday = X0 ),
inference(instantiation,[status(thm)],[c_1990]) ).
cnf(c_3605,plain,
monday = monday,
inference(instantiation,[status(thm)],[c_658]) ).
cnf(c_3657,plain,
( ~ truthday(X0)
| ~ day3(X0)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_3482,c_71]) ).
cnf(c_3658,plain,
( ~ day3(X0)
| ~ truthday(monday) ),
inference(global_subsumption_just,[status(thm)],[c_3657,c_97,c_2653,c_3237,c_3657]) ).
cnf(c_3679,plain,
( ~ day1(X0)
| ~ day3(X0)
| ~ day1(thursday) ),
inference(resolution,[status(thm)],[c_3484,c_72]) ).
cnf(c_3680,plain,
( ~ truthday(X0)
| ~ day3(X0)
| ~ truthday(thursday) ),
inference(resolution,[status(thm)],[c_3484,c_71]) ).
cnf(c_3681,plain,
( ~ day3(X0)
| ~ truthday(thursday) ),
inference(global_subsumption_just,[status(thm)],[c_3680,c_97,c_2653,c_3237,c_3680]) ).
cnf(c_3683,plain,
( ~ day3(X0)
| ~ day1(thursday) ),
inference(global_subsumption_just,[status(thm)],[c_3679,c_76,c_97,c_1494,c_2008,c_2653,c_3237,c_3658,c_3679]) ).
cnf(c_3700,plain,
( ~ truthday(X0)
| ~ day3(X0)
| ~ truthday(sunday) ),
inference(resolution,[status(thm)],[c_3487,c_71]) ).
cnf(c_3701,plain,
( ~ day3(X0)
| ~ truthday(sunday) ),
inference(global_subsumption_just,[status(thm)],[c_3700,c_97,c_2653,c_3237,c_3700]) ).
cnf(c_3716,plain,
sK0 = sK3,
inference(global_subsumption_just,[status(thm)],[c_2320,c_655,c_2320,c_2653,c_3237]) ).
cnf(c_3720,plain,
day3(sK0),
inference(superposition,[status(thm)],[c_3716,c_78]) ).
cnf(c_3742,plain,
~ day1(thursday),
inference(resolution,[status(thm)],[c_3683,c_78]) ).
cnf(c_3761,plain,
( sunday = sK0
| saturday = sK0
| friday = sK0
| thursday = sK0
| wednesday = sK0
| tuesday = sK0
| day3(monday) ),
inference(superposition,[status(thm)],[c_49,c_3720]) ).
cnf(c_3828,plain,
~ truthday(monday),
inference(global_subsumption_just,[status(thm)],[c_2168,c_75,c_100,c_69,c_68,c_67,c_66,c_65,c_1430,c_1641,c_1756,c_2424,c_2423,c_2422,c_2421,c_2420,c_3185,c_3761]) ).
cnf(c_4058,plain,
( ~ day1(X0)
| ~ day3(X0)
| ~ day3(saturday) ),
inference(resolution,[status(thm)],[c_3504,c_74]) ).
cnf(c_4064,plain,
~ day3(saturday),
inference(global_subsumption_just,[status(thm)],[c_4058,c_1503,c_1646,c_3742]) ).
cnf(c_4075,plain,
( saturday != X0
| ~ day3(X0) ),
inference(resolution,[status(thm)],[c_4064,c_664]) ).
cnf(c_4526,plain,
( X0 != X1
| ~ day3(X1)
| ~ truthday(monday) ),
inference(resolution,[status(thm)],[c_3658,c_664]) ).
cnf(c_4527,plain,
~ truthday(monday),
inference(global_subsumption_just,[status(thm)],[c_4526,c_75,c_100,c_69,c_68,c_67,c_66,c_65,c_1430,c_1641,c_1756,c_2424,c_2423,c_2422,c_2421,c_2420,c_3185,c_3761]) ).
cnf(c_4531,plain,
( monday != X0
| ~ truthday(X0) ),
inference(resolution,[status(thm)],[c_4527,c_661]) ).
cnf(c_4551,plain,
~ truthday(thursday),
inference(resolution,[status(thm)],[c_3681,c_78]) ).
cnf(c_4553,plain,
( thursday != X0
| ~ truthday(X0) ),
inference(resolution,[status(thm)],[c_4551,c_661]) ).
cnf(c_4558,plain,
~ truthday(sunday),
inference(resolution,[status(thm)],[c_3701,c_78]) ).
cnf(c_4560,plain,
( sunday != X0
| ~ truthday(X0) ),
inference(resolution,[status(thm)],[c_4558,c_661]) ).
cnf(c_4899,plain,
~ truthday(monday),
inference(global_subsumption_just,[status(thm)],[c_92,c_3828]) ).
cnf(c_4923,plain,
( truthday(X0)
| ~ day3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_654,c_97,c_2653,c_3237]) ).
cnf(c_4924,plain,
( ~ day3(X0)
| truthday(X0) ),
inference(renaming,[status(thm)],[c_4923]) ).
cnf(c_4925,plain,
truthday(sK3),
inference(superposition,[status(thm)],[c_78,c_4924]) ).
cnf(c_4963,plain,
( ~ truthday(X0)
| X0 = sunday
| X0 = saturday
| X0 = friday
| X0 = thursday
| X0 = wednesday
| X0 = tuesday ),
inference(superposition,[status(thm)],[c_49,c_4899]) ).
cnf(c_5078,plain,
( ~ truthday(X0)
| X0 = tuesday ),
inference(global_subsumption_just,[status(thm)],[c_4963,c_78,c_65,c_60,c_56,c_53,c_51,c_50,c_49,c_655,c_1433,c_1522,c_1829,c_1852,c_1879,c_1982,c_2165,c_2653,c_3095,c_3113,c_3237,c_3556,c_3561,c_3577,c_3582,c_3588,c_3604,c_3605,c_4075,c_4531,c_4553,c_4560]) ).
cnf(c_5082,plain,
tuesday = sK3,
inference(superposition,[status(thm)],[c_4925,c_5078]) ).
cnf(c_5084,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5082,c_3237,c_2653,c_1523,c_108,c_100,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:39:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/1.17 % SZS status Started for theBenchmark.p
% 3.89/1.17 % SZS status Theorem for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.89/1.17
% 3.89/1.17 ------ iProver source info
% 3.89/1.17
% 3.89/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.89/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.89/1.17 git: non_committed_changes: false
% 3.89/1.17 git: last_make_outside_of_git: false
% 3.89/1.17
% 3.89/1.17 ------ Parsing...
% 3.89/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.89/1.17 ------ Proving...
% 3.89/1.17 ------ Problem Properties
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 clauses 53
% 3.89/1.17 conjectures 1
% 3.89/1.17 EPR 42
% 3.89/1.17 Horn 49
% 3.89/1.17 unary 33
% 3.89/1.17 binary 4
% 3.89/1.17 lits 94
% 3.89/1.17 lits eq 39
% 3.89/1.17 fd_pure 1
% 3.89/1.17 fd_pseudo 0
% 3.89/1.17 fd_cond 0
% 3.89/1.17 fd_pseudo_cond 4
% 3.89/1.17 AC symbols 0
% 3.89/1.17
% 3.89/1.17 ------ Input Options Time Limit: Unbounded
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------
% 3.89/1.17 Current options:
% 3.89/1.17 ------
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------ Proving...
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 % SZS status Theorem for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.18
% 3.89/1.18
%------------------------------------------------------------------------------