%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ131+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 : Sat Jun 21 05:23:28 AM UTC 2025
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 74 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 607 ( 5 equ)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 889 ( 397 ~; 380 |; 20 &)
% ( 54 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 41 ( 41 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 167 ( 153 !; 0 ?; 167 :)
% Comments :
%------------------------------------------------------------------------------
tff(teaches_type,type,
teaches: ( $i * $i ) > $o ).
tff(csc410_type,type,
csc410: $i ).
tff(victor_type,type,
victor: $i ).
tff(coordinatorof_type,type,
coordinatorof: $i > $i ).
tff(course_type,type,
course: $i > $o ).
tff(taughtby_type,type,
taughtby: ( $i * $i ) > $o ).
tff(michael_type,type,
michael: $i ).
tff(professor_type,type,
professor: $i > $o ).
tff(enrolled_type,type,
enrolled: ( $i * $i ) > $o ).
tff(student_type,type,
student: $i > $o ).
tff(1,plain,
( ( coordinatorof(csc410) = victor )
<=> ( coordinatorof(csc410) = victor ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
tff(3,plain,
coordinatorof(csc410) = victor,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
victor = coordinatorof(csc410),
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( teaches(victor,csc410)
<=> teaches(coordinatorof(csc410),csc410) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
( teaches(coordinatorof(csc410),csc410)
<=> teaches(victor,csc410) ),
inference(symmetry,[status(thm)],[5]) ).
tff(7,plain,
^ [X: $i] :
refl(( ( ~ course(X)
| teaches(coordinatorof(X),X) )
<=> ( ~ course(X)
| teaches(coordinatorof(X),X) ) )),
inference(bind,[status(th)],[]) ).
tff(8,plain,
( ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) )
<=> ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) )
<=> ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,plain,
^ [X: $i] :
rewrite(( ( course(X)
=> teaches(coordinatorof(X),X) )
<=> ( ~ course(X)
| teaches(coordinatorof(X),X) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [X: $i] :
( course(X)
=> teaches(coordinatorof(X),X) )
<=> ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [X: $i] :
( course(X)
=> teaches(coordinatorof(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
tff(13,plain,
! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( course(csc410)
<=> course(csc410) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,axiom,
course(csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).
tff(19,plain,
course(csc410),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
( ( ~ ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) )
| ~ course(csc410)
| teaches(coordinatorof(csc410),csc410) )
<=> ( ~ ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) )
| ~ course(csc410)
| teaches(coordinatorof(csc410),csc410) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ~ ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) )
| ~ course(csc410)
| teaches(coordinatorof(csc410),csc410) ),
inference(quant_inst,[status(thm)],[]) ).
tff(22,plain,
( ~ ! [X: $i] :
( ~ course(X)
| teaches(coordinatorof(X),X) )
| ~ course(csc410)
| teaches(coordinatorof(csc410),csc410) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
teaches(coordinatorof(csc410),csc410),
inference(unit_resolution,[status(thm)],[22,19,16]) ).
tff(24,plain,
teaches(victor,csc410),
inference(modus_ponens,[status(thm)],[23,6]) ).
tff(25,plain,
( enrolled(michael,csc410)
<=> enrolled(michael,csc410) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
tff(27,plain,
enrolled(michael,csc410),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
^ [X: $i,Y: $i] :
rewrite(( ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) )),
inference(bind,[status(th)],[]) ).
tff(29,plain,
( ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
^ [X: $i,Y: $i] :
refl(( ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) )),
inference(bind,[status(th)],[]) ).
tff(31,plain,
( ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,plain,
^ [X: $i,Y: $i] :
rewrite(( ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) )),
inference(bind,[status(th)],[]) ).
tff(33,plain,
( ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) )
<=> ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) ),
inference(transitivity,[status(thm)],[33,31]) ).
tff(35,plain,
^ [X: $i,Y: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( student(X)
& course(Y) )
<=> ~ ( ~ course(Y)
| ~ student(X) ) )),
( ~ ( student(X)
& course(Y) )
<=> ~ ~ ( ~ course(Y)
| ~ student(X) ) )),
rewrite(( ~ ~ ( ~ course(Y)
| ~ student(X) )
<=> ( ~ course(Y)
| ~ student(X) ) )),
( ~ ( student(X)
& course(Y) )
<=> ( ~ course(Y)
| ~ student(X) ) )),
( ( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) )
<=> ( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ course(Y)
| ~ student(X) ) )),
rewrite(( ( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ course(Y)
| ~ student(X) )
<=> ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) )),
( ( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) )
<=> ( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) )),
inference(bind,[status(th)],[]) ).
tff(36,plain,
( ! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) )
<=> ! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,plain,
( ! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) )
<=> ! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,plain,
^ [X: $i,Y: $i] :
trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^ [Z: $i] :
trans(monotonicity(rewrite(( ( teaches(Z,Y)
=> taughtby(X,Z) )
<=> ( ~ teaches(Z,Y)
| taughtby(X,Z) ) )),
( ( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) )
<=> ( professor(Z)
=> ( ~ teaches(Z,Y)
| taughtby(X,Z) ) ) )),
rewrite(( ( professor(Z)
=> ( ~ teaches(Z,Y)
| taughtby(X,Z) ) )
<=> ( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )),
( ( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) )
<=> ( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ))),
( ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) )
<=> ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )),
( ( enrolled(X,Y)
=> ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) )
<=> ( enrolled(X,Y)
=> ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) )),
rewrite(( ( enrolled(X,Y)
=> ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
<=> ( ~ enrolled(X,Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) )),
( ( enrolled(X,Y)
=> ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) )
<=> ( ~ enrolled(X,Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) )),
( ( ( student(X)
& course(Y) )
=> ( enrolled(X,Y)
=> ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) )
<=> ( ( student(X)
& course(Y) )
=> ( ~ enrolled(X,Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) ) )),
rewrite(( ( ( student(X)
& course(Y) )
=> ( ~ enrolled(X,Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ) )
<=> ( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ) )),
( ( ( student(X)
& course(Y) )
=> ( enrolled(X,Y)
=> ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) )
<=> ( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ) )),
inference(bind,[status(th)],[]) ).
tff(39,plain,
( ! [X: $i,Y: $i] :
( ( student(X)
& course(Y) )
=> ( enrolled(X,Y)
=> ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) )
<=> ! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ) ),
inference(quant_intro,[status(thm)],[38]) ).
tff(40,axiom,
! [X: $i,Y: $i] :
( ( student(X)
& course(Y) )
=> ( enrolled(X,Y)
=> ! [Z: $i] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
tff(41,plain,
! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ),
inference(modus_ponens,[status(thm)],[41,37]) ).
tff(43,plain,
! [X: $i,Y: $i] :
( ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ ( student(X)
& course(Y) ) ),
inference(skolemize,[status(sab)],[42]) ).
tff(44,plain,
! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ),
inference(modus_ponens,[status(thm)],[43,36]) ).
tff(45,plain,
! [X: $i,Y: $i] :
( ~ course(Y)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) )
| ~ enrolled(X,Y)
| ~ student(X) ),
inference(modus_ponens,[status(thm)],[44,34]) ).
tff(46,plain,
! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) ),
inference(modus_ponens,[status(thm)],[45,29]) ).
tff(47,plain,
( student(michael)
<=> student(michael) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,axiom,
student(michael),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).
tff(49,plain,
student(michael),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,plain,
( ( ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) )
<=> ( ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,plain,
^ [Z: $i] :
rewrite(( ( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) )
<=> ( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) )),
inference(bind,[status(th)],[]) ).
tff(53,plain,
( ! [Z: $i] :
( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) )
<=> ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,plain,
( ( ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) ) )
<=> ( ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ( ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) ) )
<=> ( ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ) ),
inference(transitivity,[status(thm)],[54,51]) ).
tff(56,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ) ),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ) ),
inference(transitivity,[status(thm)],[56,50]) ).
tff(58,plain,
( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ student(michael)
| ! [Z: $i] :
( taughtby(michael,Z)
| ~ professor(Z)
| ~ teaches(Z,csc410) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(59,plain,
( ~ ! [X: $i,Y: $i] :
( ~ course(Y)
| ~ enrolled(X,Y)
| ~ student(X)
| ! [Z: $i] :
( taughtby(X,Z)
| ~ professor(Z)
| ~ teaches(Z,Y) ) )
| ~ course(csc410)
| ~ student(michael)
| ~ enrolled(michael,csc410)
| ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ) ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) ),
inference(unit_resolution,[status(thm)],[59,49,19,46,27]) ).
tff(61,plain,
( ~ taughtby(michael,victor)
<=> ~ taughtby(michael,victor) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,axiom,
~ taughtby(michael,victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
tff(63,plain,
~ taughtby(michael,victor),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
( professor(victor)
<=> professor(victor) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,axiom,
professor(victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).
tff(66,plain,
professor(victor),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
( ( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| taughtby(michael,victor)
| ~ professor(victor)
| ~ teaches(victor,csc410) )
<=> ( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| taughtby(michael,victor)
| ~ professor(victor)
| ~ teaches(victor,csc410) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( ~ professor(victor)
| taughtby(michael,victor)
| ~ teaches(victor,csc410) )
<=> ( taughtby(michael,victor)
| ~ professor(victor)
| ~ teaches(victor,csc410) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
( ( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| ~ professor(victor)
| taughtby(michael,victor)
| ~ teaches(victor,csc410) )
<=> ( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| taughtby(michael,victor)
| ~ professor(victor)
| ~ teaches(victor,csc410) ) ),
inference(monotonicity,[status(thm)],[68]) ).
tff(70,plain,
( ( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| ~ professor(victor)
| taughtby(michael,victor)
| ~ teaches(victor,csc410) )
<=> ( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| taughtby(michael,victor)
| ~ professor(victor)
| ~ teaches(victor,csc410) ) ),
inference(transitivity,[status(thm)],[69,67]) ).
tff(71,plain,
( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| ~ professor(victor)
| taughtby(michael,victor)
| ~ teaches(victor,csc410) ),
inference(quant_inst,[status(thm)],[]) ).
tff(72,plain,
( ~ ! [Z: $i] :
( ~ professor(Z)
| taughtby(michael,Z)
| ~ teaches(Z,csc410) )
| taughtby(michael,victor)
| ~ professor(victor)
| ~ teaches(victor,csc410) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
~ teaches(victor,csc410),
inference(unit_resolution,[status(thm)],[72,66,63,60]) ).
tff(74,plain,
$false,
inference(unit_resolution,[status(thm)],[73,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ131+1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n002.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 : 300
% 0.13/0.34 % DateTime : Fri Jun 20 02:49:01 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 % SZS output start Proof
% See solution above
% 0.13/0.39 % E exiting
%------------------------------------------------------------------------------