TSTP Solution File: PUZ131+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ131+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue May 21 02:30:04 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 49
% Syntax : Number of formulae : 141 ( 44 unt; 0 def)
% Number of atoms : 391 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 426 ( 176 ~; 172 |; 26 &)
% ( 26 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 27 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-1 aty)
% Number of variables : 118 ( 96 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f76,f81,f86,f91,f96,f101,f106,f111,f115,f119,f123,f127,f131,f136,f140,f144,f148,f152,f157,f168,f173,f177,f181,f185,f194,f195]) ).
fof(f195,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_8
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f189,f183,f103,f73,f68]) ).
fof(f68,plain,
( spl7_1
<=> taughtby(michael,victor) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f73,plain,
( spl7_2
<=> student(michael) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f103,plain,
( spl7_8
<=> enrolled(michael,csc410) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f183,plain,
( spl7_25
<=> ! [X0] :
( taughtby(X0,victor)
| ~ student(X0)
| ~ enrolled(X0,csc410) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f189,plain,
( ~ student(michael)
| taughtby(michael,victor)
| ~ spl7_8
| ~ spl7_25 ),
inference(resolution,[],[f184,f105]) ).
fof(f105,plain,
( enrolled(michael,csc410)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f184,plain,
( ! [X0] :
( ~ enrolled(X0,csc410)
| ~ student(X0)
| taughtby(X0,victor) )
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f194,plain,
( spl7_26
| ~ spl7_18
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f188,f179,f146,f192]) ).
fof(f192,plain,
( spl7_26
<=> ! [X0] :
( ~ professor(X0)
| taughtby(sK2(sK1(X0)),X0)
| ~ course(sK1(X0))
| ~ student(sK2(sK1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
fof(f146,plain,
( spl7_18
<=> ! [X0] :
( enrolled(sK2(X0),X0)
| ~ course(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f179,plain,
( spl7_24
<=> ! [X0,X1] :
( taughtby(X0,X1)
| ~ professor(X1)
| ~ enrolled(X0,sK1(X1))
| ~ course(sK1(X1))
| ~ student(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f188,plain,
( ! [X0] :
( ~ professor(X0)
| taughtby(sK2(sK1(X0)),X0)
| ~ course(sK1(X0))
| ~ student(sK2(sK1(X0))) )
| ~ spl7_18
| ~ spl7_24 ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f187,plain,
( ! [X0] :
( ~ professor(X0)
| taughtby(sK2(sK1(X0)),X0)
| ~ course(sK1(X0))
| ~ student(sK2(sK1(X0)))
| ~ course(sK1(X0)) )
| ~ spl7_18
| ~ spl7_24 ),
inference(resolution,[],[f180,f147]) ).
fof(f147,plain,
( ! [X0] :
( enrolled(sK2(X0),X0)
| ~ course(X0) )
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f180,plain,
( ! [X0,X1] :
( ~ enrolled(X0,sK1(X1))
| ~ professor(X1)
| taughtby(X0,X1)
| ~ course(sK1(X1))
| ~ student(X0) )
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f185,plain,
( ~ spl7_4
| ~ spl7_3
| spl7_25
| ~ spl7_20
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f169,f165,f155,f183,f78,f83]) ).
fof(f83,plain,
( spl7_4
<=> course(csc410) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f78,plain,
( spl7_3
<=> professor(victor) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f155,plain,
( spl7_20
<=> ! [X2,X0,X1] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2)
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f165,plain,
( spl7_21
<=> teaches(victor,csc410) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f169,plain,
( ! [X0] :
( taughtby(X0,victor)
| ~ professor(victor)
| ~ enrolled(X0,csc410)
| ~ course(csc410)
| ~ student(X0) )
| ~ spl7_20
| ~ spl7_21 ),
inference(resolution,[],[f167,f156]) ).
fof(f156,plain,
( ! [X2,X0,X1] :
( ~ teaches(X2,X1)
| taughtby(X0,X2)
| ~ professor(X2)
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) )
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f167,plain,
( teaches(victor,csc410)
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f181,plain,
( spl7_24
| ~ spl7_16
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f163,f155,f138,f179]) ).
fof(f138,plain,
( spl7_16
<=> ! [X0] :
( teaches(X0,sK1(X0))
| ~ professor(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f163,plain,
( ! [X0,X1] :
( taughtby(X0,X1)
| ~ professor(X1)
| ~ enrolled(X0,sK1(X1))
| ~ course(sK1(X1))
| ~ student(X0) )
| ~ spl7_16
| ~ spl7_20 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
( ! [X0,X1] :
( taughtby(X0,X1)
| ~ professor(X1)
| ~ enrolled(X0,sK1(X1))
| ~ course(sK1(X1))
| ~ student(X0)
| ~ professor(X1) )
| ~ spl7_16
| ~ spl7_20 ),
inference(resolution,[],[f156,f139]) ).
fof(f139,plain,
( ! [X0] :
( teaches(X0,sK1(X0))
| ~ professor(X0) )
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f177,plain,
( spl7_23
| ~ spl7_17
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f162,f155,f142,f175]) ).
fof(f175,plain,
( spl7_23
<=> ! [X0,X1] :
( taughtby(X0,coordinatorof(X1))
| ~ professor(coordinatorof(X1))
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f142,plain,
( spl7_17
<=> ! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f162,plain,
( ! [X0,X1] :
( taughtby(X0,coordinatorof(X1))
| ~ professor(coordinatorof(X1))
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) )
| ~ spl7_17
| ~ spl7_20 ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
( ! [X0,X1] :
( taughtby(X0,coordinatorof(X1))
| ~ professor(coordinatorof(X1))
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0)
| ~ course(X1) )
| ~ spl7_17
| ~ spl7_20 ),
inference(resolution,[],[f156,f143]) ).
fof(f143,plain,
( ! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f173,plain,
( spl7_22
| ~ spl7_19
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f161,f155,f150,f171]) ).
fof(f171,plain,
( spl7_22
<=> ! [X0,X1] :
( taughtby(X0,sK3(X1))
| ~ professor(sK3(X1))
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
fof(f150,plain,
( spl7_19
<=> ! [X0] :
( teaches(sK3(X0),X0)
| ~ course(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f161,plain,
( ! [X0,X1] :
( taughtby(X0,sK3(X1))
| ~ professor(sK3(X1))
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) )
| ~ spl7_19
| ~ spl7_20 ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
( ! [X0,X1] :
( taughtby(X0,sK3(X1))
| ~ professor(sK3(X1))
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0)
| ~ course(X1) )
| ~ spl7_19
| ~ spl7_20 ),
inference(resolution,[],[f156,f151]) ).
fof(f151,plain,
( ! [X0] :
( teaches(sK3(X0),X0)
| ~ course(X0) )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f168,plain,
( ~ spl7_4
| spl7_21
| ~ spl7_9
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f153,f142,f108,f165,f83]) ).
fof(f108,plain,
( spl7_9
<=> victor = coordinatorof(csc410) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f153,plain,
( teaches(victor,csc410)
| ~ course(csc410)
| ~ spl7_9
| ~ spl7_17 ),
inference(superposition,[],[f143,f110]) ).
fof(f110,plain,
( victor = coordinatorof(csc410)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f157,plain,
spl7_20,
inference(avatar_split_clause,[],[f63,f155]) ).
fof(f63,plain,
! [X2,X0,X1] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2)
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ! [X2] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2) )
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ! [X2] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2) )
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( course(X1)
& student(X0) )
=> ( enrolled(X0,X1)
=> ! [X2] :
( professor(X2)
=> ( teaches(X2,X1)
=> taughtby(X0,X2) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2] :
( ( course(X2)
& student(X1) )
=> ( enrolled(X1,X2)
=> ! [X3] :
( professor(X3)
=> ( teaches(X3,X2)
=> taughtby(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
fof(f152,plain,
spl7_19,
inference(avatar_split_clause,[],[f62,f150]) ).
fof(f62,plain,
! [X0] :
( teaches(sK3(X0),X0)
| ~ course(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( teaches(sK3(X0),X0)
& professor(sK3(X0)) )
| ~ course(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f30,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( teaches(X1,X0)
& professor(X1) )
=> ( teaches(sK3(X0),X0)
& professor(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( teaches(X1,X0)
& professor(X1) )
| ~ course(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( course(X0)
=> ? [X1] :
( teaches(X1,X0)
& professor(X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1] :
( course(X1)
=> ? [X2] :
( teaches(X2,X1)
& professor(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches) ).
fof(f148,plain,
spl7_18,
inference(avatar_split_clause,[],[f60,f146]) ).
fof(f60,plain,
! [X0] :
( enrolled(sK2(X0),X0)
| ~ course(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( enrolled(sK2(X0),X0)
& student(sK2(X0)) )
| ~ course(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f29,f37]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( enrolled(X1,X0)
& student(X1) )
=> ( enrolled(sK2(X0),X0)
& student(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( enrolled(X1,X0)
& student(X1) )
| ~ course(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( course(X0)
=> ? [X1] :
( enrolled(X1,X0)
& student(X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] :
( course(X1)
=> ? [X2] :
( enrolled(X2,X1)
& student(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled) ).
fof(f144,plain,
spl7_17,
inference(avatar_split_clause,[],[f58,f142]) ).
fof(f58,plain,
! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( course(X0)
=> teaches(coordinatorof(X0),X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1] :
( course(X1)
=> teaches(coordinatorof(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
fof(f140,plain,
spl7_16,
inference(avatar_split_clause,[],[f56,f138]) ).
fof(f56,plain,
! [X0] :
( teaches(X0,sK1(X0))
| ~ professor(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( teaches(X0,sK1(X0))
& course(sK1(X0)) )
| ~ professor(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f26,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( teaches(X0,X1)
& course(X1) )
=> ( teaches(X0,sK1(X0))
& course(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( teaches(X0,X1)
& course(X1) )
| ~ professor(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( professor(X0)
=> ? [X1] :
( teaches(X0,X1)
& course(X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1] :
( professor(X1)
=> ? [X2] :
( teaches(X1,X2)
& course(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches) ).
fof(f136,plain,
spl7_15,
inference(avatar_split_clause,[],[f54,f134]) ).
fof(f134,plain,
( spl7_15
<=> ! [X0] :
( enrolled(X0,sK0(X0))
| ~ student(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f54,plain,
! [X0] :
( enrolled(X0,sK0(X0))
| ~ student(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( enrolled(X0,sK0(X0))
& course(sK0(X0)) )
| ~ student(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( enrolled(X0,X1)
& course(X1) )
=> ( enrolled(X0,sK0(X0))
& course(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( enrolled(X0,X1)
& course(X1) )
| ~ student(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( student(X0)
=> ? [X1] :
( enrolled(X0,X1)
& course(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1] :
( student(X1)
=> ? [X2] :
( enrolled(X1,X2)
& course(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_axiom) ).
fof(f131,plain,
spl7_14,
inference(avatar_split_clause,[],[f61,f129]) ).
fof(f129,plain,
( spl7_14
<=> ! [X0] :
( professor(sK3(X0))
| ~ course(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f61,plain,
! [X0] :
( professor(sK3(X0))
| ~ course(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f127,plain,
spl7_13,
inference(avatar_split_clause,[],[f59,f125]) ).
fof(f125,plain,
( spl7_13
<=> ! [X0] :
( student(sK2(X0))
| ~ course(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f59,plain,
! [X0] :
( student(sK2(X0))
| ~ course(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f123,plain,
spl7_12,
inference(avatar_split_clause,[],[f57,f121]) ).
fof(f121,plain,
( spl7_12
<=> ! [X0] :
( professor(coordinatorof(X0))
| ~ course(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f57,plain,
! [X0] :
( professor(coordinatorof(X0))
| ~ course(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( professor(coordinatorof(X0))
| ~ course(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( course(X0)
=> professor(coordinatorof(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_of_type) ).
fof(f119,plain,
spl7_11,
inference(avatar_split_clause,[],[f55,f117]) ).
fof(f117,plain,
( spl7_11
<=> ! [X0] :
( course(sK1(X0))
| ~ professor(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f55,plain,
! [X0] :
( course(sK1(X0))
| ~ professor(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f115,plain,
spl7_10,
inference(avatar_split_clause,[],[f53,f113]) ).
fof(f113,plain,
( spl7_10
<=> ! [X0] :
( course(sK0(X0))
| ~ student(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f53,plain,
! [X0] :
( course(sK0(X0))
| ~ student(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f111,plain,
spl7_9,
inference(avatar_split_clause,[],[f52,f108]) ).
fof(f52,plain,
victor = coordinatorof(csc410),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
victor = coordinatorof(csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
fof(f106,plain,
spl7_8,
inference(avatar_split_clause,[],[f51,f103]) ).
fof(f51,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
fof(f101,plain,
spl7_7,
inference(avatar_split_clause,[],[f66,f98]) ).
fof(f98,plain,
( spl7_7
<=> course(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f66,plain,
course(sK6),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
course(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f3,f45]) ).
fof(f45,plain,
( ? [X0] : course(X0)
=> course(sK6) ),
introduced(choice_axiom,[]) ).
fof(f3,axiom,
? [X0] : course(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_type) ).
fof(f96,plain,
spl7_6,
inference(avatar_split_clause,[],[f65,f93]) ).
fof(f93,plain,
( spl7_6
<=> professor(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f65,plain,
professor(sK5),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
professor(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f2,f43]) ).
fof(f43,plain,
( ? [X0] : professor(X0)
=> professor(sK5) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] : professor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_type) ).
fof(f91,plain,
spl7_5,
inference(avatar_split_clause,[],[f64,f88]) ).
fof(f88,plain,
( spl7_5
<=> student(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f64,plain,
student(sK4),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
student(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f1,f41]) ).
fof(f41,plain,
( ? [X0] : student(X0)
=> student(sK4) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] : student(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_type) ).
fof(f86,plain,
spl7_4,
inference(avatar_split_clause,[],[f50,f83]) ).
fof(f50,plain,
course(csc410),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
course(csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).
fof(f81,plain,
spl7_3,
inference(avatar_split_clause,[],[f49,f78]) ).
fof(f49,plain,
professor(victor),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
professor(victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).
fof(f76,plain,
spl7_2,
inference(avatar_split_clause,[],[f48,f73]) ).
fof(f48,plain,
student(michael),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
student(michael),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).
fof(f71,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f47,f68]) ).
fof(f47,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
~ taughtby(michael,victor),
inference(flattening,[],[f17]) ).
fof(f17,negated_conjecture,
~ taughtby(michael,victor),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ131+1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 10:56:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (29705)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (29710)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (29710)First to succeed.
% 0.14/0.37 % (29709)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (29710)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29705"
% 0.14/0.37 % (29711)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (29712)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (29706)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (29710)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (29710)------------------------------
% 0.14/0.37 % (29710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (29710)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (29710)Memory used [KB]: 860
% 0.14/0.37 % (29710)Time elapsed: 0.004 s
% 0.14/0.37 % (29710)Instructions burned: 7 (million)
% 0.14/0.37 % (29705)Success in time 0.016 s
%------------------------------------------------------------------------------