%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:23:21 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 12
% Syntax : Number of formulae : 139 ( 139 unt; 0 def)
% Number of atoms : 139 ( 138 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 199 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ifeq_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : ifeq(VAR_0,VAR_0,VAR_1,VAR_2) = VAR_1,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c_1,plain,
ifeq(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom]) ).
fof(student_type,axiom,
student(sK7_student_type_A) = true,
file('theBenchmark.p',student_type) ).
cnf(c_2,plain,
student(sK7_student_type_A) = true,
inference(clausify,[status(thm)],[student_type]) ).
cnf(c_3,plain,
true = student(sK7_student_type_A),
inference(copy,[status(thm)],[c_2]) ).
fof(professor_type,axiom,
professor(sK6_professor_type_A) = true,
file('theBenchmark.p',professor_type) ).
cnf(c_4,plain,
professor(sK6_professor_type_A) = true,
inference(clausify,[status(thm)],[professor_type]) ).
cnf(c_87,plain,
professor(sK6_professor_type_A) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_4]) ).
cnf(c_5,plain,
student(sK7_student_type_A) = professor(sK6_professor_type_A),
inference(copy,[status(thm)],[c_87]) ).
fof(course_type,axiom,
course(sK5_course_type_A) = true,
file('theBenchmark.p',course_type) ).
cnf(c_6,plain,
course(sK5_course_type_A) = true,
inference(clausify,[status(thm)],[course_type]) ).
cnf(c_88,plain,
course(sK5_course_type_A) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_6]) ).
cnf(c_89,plain,
course(sK5_course_type_A) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_88]) ).
cnf(c_7,plain,
professor(sK6_professor_type_A) = course(sK5_course_type_A),
inference(copy,[status(thm)],[c_89]) ).
fof(michael_type,axiom,
student(michael) = true,
file('theBenchmark.p',michael_type) ).
cnf(c_8,plain,
student(michael) = true,
inference(clausify,[status(thm)],[michael_type]) ).
cnf(c_90,plain,
student(michael) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_8]) ).
cnf(c_91,plain,
student(michael) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_90]) ).
cnf(c_9,plain,
student(michael) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_91]) ).
fof(victor_type,axiom,
professor(victor) = true,
file('theBenchmark.p',victor_type) ).
cnf(c_10,plain,
professor(victor) = true,
inference(clausify,[status(thm)],[victor_type]) ).
cnf(c_92,plain,
professor(victor) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_10]) ).
cnf(c_93,plain,
professor(victor) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_92]) ).
cnf(c_11,plain,
professor(victor) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_93]) ).
fof(csc410_type,axiom,
course(csc410) = true,
file('theBenchmark.p',csc410_type) ).
cnf(c_12,plain,
course(csc410) = true,
inference(clausify,[status(thm)],[csc410_type]) ).
cnf(c_94,plain,
course(csc410) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_12]) ).
cnf(c_95,plain,
course(csc410) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_94]) ).
cnf(c_96,plain,
course(csc410) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_95]) ).
cnf(c_13,plain,
course(sK5_course_type_A) = course(csc410),
inference(copy,[status(thm)],[c_96]) ).
fof(coordinator_teaches,axiom,
! [VAR_0] : ifeq(course(VAR_0),true,teaches(coordinatorof(VAR_0),VAR_0),true) = true,
file('theBenchmark.p',coordinator_teaches) ).
cnf(c_32,plain,
ifeq(course(A),true,teaches(coordinatorof(A),A),true) = true,
inference(clausify,[status(thm)],[coordinator_teaches]) ).
cnf(c_97,plain,
ifeq(course(A),student(sK7_student_type_A),teaches(coordinatorof(A),A),true) = true,
inference(paramod,[status(thm)],[c_3,c_32]) ).
cnf(c_98,plain,
ifeq(course(A),professor(sK6_professor_type_A),teaches(coordinatorof(A),A),true) = true,
inference(paramod,[status(thm)],[c_5,c_97]) ).
cnf(c_99,plain,
ifeq(course(A),course(sK5_course_type_A),teaches(coordinatorof(A),A),true) = true,
inference(paramod,[status(thm)],[c_7,c_98]) ).
cnf(c_100,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),true) = true,
inference(paramod,[status(thm)],[c_13,c_99]) ).
cnf(c_101,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),student(sK7_student_type_A)) = true,
inference(paramod,[status(thm)],[c_3,c_100]) ).
cnf(c_102,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),professor(sK6_professor_type_A)) = true,
inference(paramod,[status(thm)],[c_5,c_101]) ).
cnf(c_103,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(sK5_course_type_A)) = true,
inference(paramod,[status(thm)],[c_7,c_102]) ).
cnf(c_104,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(csc410)) = true,
inference(paramod,[status(thm)],[c_13,c_103]) ).
cnf(c_105,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(csc410)) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_104]) ).
cnf(c_106,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(csc410)) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_105]) ).
cnf(c_107,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(csc410)) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_106]) ).
cnf(c_33,plain,
ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_13,c_107]) ).
fof(student_enrolled_taught,axiom,
! [VAR_0,VAR_1,VAR_2] : ifeq(teaches(VAR_0,VAR_1),true,ifeq(enrolled(VAR_2,VAR_1),true,ifeq(course(VAR_1),true,ifeq(professor(VAR_0),true,ifeq(student(VAR_2),true,taughtby(VAR_2,VAR_0),true),true),true),true),true) = true,
file('theBenchmark.p',student_enrolled_taught) ).
cnf(c_34,plain,
ifeq(teaches(A,B),true,ifeq(enrolled(C,B),true,ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(clausify,[status(thm)],[student_enrolled_taught]) ).
cnf(c_108,plain,
ifeq(teaches(A,B),student(sK7_student_type_A),ifeq(enrolled(C,B),true,ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_34]) ).
cnf(c_109,plain,
ifeq(teaches(A,B),professor(sK6_professor_type_A),ifeq(enrolled(C,B),true,ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_108]) ).
cnf(c_110,plain,
ifeq(teaches(A,B),course(sK5_course_type_A),ifeq(enrolled(C,B),true,ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_109]) ).
cnf(c_111,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),true,ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_110]) ).
cnf(c_112,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),student(sK7_student_type_A),ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_111]) ).
cnf(c_113,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),professor(sK6_professor_type_A),ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_112]) ).
cnf(c_114,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(sK5_course_type_A),ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_113]) ).
cnf(c_115,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_114]) ).
cnf(c_116,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),student(sK7_student_type_A),ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_115]) ).
cnf(c_117,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),professor(sK6_professor_type_A),ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_116]) ).
cnf(c_118,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(sK5_course_type_A),ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_117]) ).
cnf(c_119,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_118]) ).
cnf(c_120,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),student(sK7_student_type_A),ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_119]) ).
cnf(c_121,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),professor(sK6_professor_type_A),ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_120]) ).
cnf(c_122,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(sK5_course_type_A),ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_121]) ).
cnf(c_123,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_122]) ).
cnf(c_124,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),student(sK7_student_type_A),taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_123]) ).
cnf(c_125,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),professor(sK6_professor_type_A),taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_124]) ).
cnf(c_126,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(sK5_course_type_A),taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_125]) ).
cnf(c_127,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),true),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_126]) ).
cnf(c_128,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),student(sK7_student_type_A)),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_127]) ).
cnf(c_129,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),professor(sK6_professor_type_A)),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_128]) ).
cnf(c_130,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(sK5_course_type_A)),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_129]) ).
cnf(c_131,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),true),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_130]) ).
cnf(c_132,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),student(sK7_student_type_A)),true),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_131]) ).
cnf(c_133,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),professor(sK6_professor_type_A)),true),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_132]) ).
cnf(c_134,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(sK5_course_type_A)),true),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_133]) ).
cnf(c_135,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),true),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_134]) ).
cnf(c_136,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),student(sK7_student_type_A)),true),true) = true,
inference(paramod,[status(thm)],[c_3,c_135]) ).
cnf(c_137,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),professor(sK6_professor_type_A)),true),true) = true,
inference(paramod,[status(thm)],[c_5,c_136]) ).
cnf(c_138,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(sK5_course_type_A)),true),true) = true,
inference(paramod,[status(thm)],[c_7,c_137]) ).
cnf(c_139,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),true),true) = true,
inference(paramod,[status(thm)],[c_13,c_138]) ).
cnf(c_140,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),student(sK7_student_type_A)),true) = true,
inference(paramod,[status(thm)],[c_3,c_139]) ).
cnf(c_141,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),professor(sK6_professor_type_A)),true) = true,
inference(paramod,[status(thm)],[c_5,c_140]) ).
cnf(c_142,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(sK5_course_type_A)),true) = true,
inference(paramod,[status(thm)],[c_7,c_141]) ).
cnf(c_143,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),true) = true,
inference(paramod,[status(thm)],[c_13,c_142]) ).
cnf(c_144,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),student(sK7_student_type_A)) = true,
inference(paramod,[status(thm)],[c_3,c_143]) ).
cnf(c_145,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),professor(sK6_professor_type_A)) = true,
inference(paramod,[status(thm)],[c_5,c_144]) ).
cnf(c_146,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(sK5_course_type_A)) = true,
inference(paramod,[status(thm)],[c_7,c_145]) ).
cnf(c_147,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = true,
inference(paramod,[status(thm)],[c_13,c_146]) ).
cnf(c_148,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_147]) ).
cnf(c_149,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_148]) ).
cnf(c_150,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_149]) ).
cnf(c_35,plain,
ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_13,c_150]) ).
fof(michael_enrolled_csc410_axiom,axiom,
enrolled(michael,csc410) = true,
file('theBenchmark.p',michael_enrolled_csc410_axiom) ).
cnf(c_36,plain,
enrolled(michael,csc410) = true,
inference(clausify,[status(thm)],[michael_enrolled_csc410_axiom]) ).
cnf(c_151,plain,
enrolled(michael,csc410) = student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_36]) ).
cnf(c_152,plain,
enrolled(michael,csc410) = professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_151]) ).
cnf(c_153,plain,
enrolled(michael,csc410) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_152]) ).
cnf(c_154,plain,
enrolled(michael,csc410) = course(csc410),
inference(paramod,[status(thm)],[c_13,c_153]) ).
cnf(c_37,plain,
course(csc410) = enrolled(michael,csc410),
inference(copy,[status(thm)],[c_154]) ).
fof(victor_coordinator_csc410_axiom,axiom,
coordinatorof(csc410) = victor,
file('theBenchmark.p',victor_coordinator_csc410_axiom) ).
cnf(c_38,plain,
coordinatorof(csc410) = victor,
inference(clausify,[status(thm)],[victor_coordinator_csc410_axiom]) ).
cnf(c_39,plain,
victor = coordinatorof(csc410),
inference(copy,[status(thm)],[c_38]) ).
fof(teaching_conjecture,axiom,
taughtby(michael,victor) != true,
file('theBenchmark.p',teaching_conjecture) ).
cnf(c_40,plain,
taughtby(michael,victor) != true,
inference(clausify,[status(thm)],[teaching_conjecture]) ).
cnf(c_155,plain,
taughtby(michael,coordinatorof(csc410)) != true,
inference(paramod,[status(thm)],[c_39,c_40]) ).
cnf(c_156,plain,
taughtby(michael,coordinatorof(csc410)) != student(sK7_student_type_A),
inference(paramod,[status(thm)],[c_3,c_155]) ).
cnf(c_157,plain,
taughtby(michael,coordinatorof(csc410)) != professor(sK6_professor_type_A),
inference(paramod,[status(thm)],[c_5,c_156]) ).
cnf(c_158,plain,
taughtby(michael,coordinatorof(csc410)) != course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_7,c_157]) ).
cnf(c_159,plain,
taughtby(michael,coordinatorof(csc410)) != course(csc410),
inference(paramod,[status(thm)],[c_13,c_158]) ).
cnf(c_41,plain,
taughtby(michael,coordinatorof(csc410)) != enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_159]) ).
cnf(c_160,plain,
professor(coordinatorof(csc410)) = course(sK5_course_type_A),
inference(paramod,[status(thm)],[c_39,c_11]) ).
cnf(c_161,plain,
professor(coordinatorof(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_13,c_160]) ).
cnf(c_44,plain,
professor(coordinatorof(csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_161]) ).
cnf(c_162,plain,
student(michael) = course(csc410),
inference(paramod,[status(thm)],[c_13,c_9]) ).
cnf(c_45,plain,
student(michael) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_162]) ).
cnf(c_163,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_35]) ).
cnf(c_164,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_163]) ).
cnf(c_165,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_164]) ).
cnf(c_166,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_165]) ).
cnf(c_167,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_166]) ).
cnf(c_168,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),enrolled(michael,csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_167]) ).
cnf(c_169,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),enrolled(michael,csc410)),enrolled(michael,csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_168]) ).
cnf(c_170,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),course(csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_169]) ).
cnf(c_171,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_170]) ).
cnf(c_172,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_171]) ).
cnf(c_47,plain,
ifeq(teaches(A,B),enrolled(michael,csc410),ifeq(enrolled(C,B),enrolled(michael,csc410),ifeq(course(B),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(C),enrolled(michael,csc410),taughtby(C,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_172]) ).
cnf(c_173,plain,
ifeq(course(A),enrolled(michael,csc410),teaches(coordinatorof(A),A),course(csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_33]) ).
cnf(c_174,plain,
ifeq(course(A),enrolled(michael,csc410),teaches(coordinatorof(A),A),enrolled(michael,csc410)) = course(csc410),
inference(paramod,[status(thm)],[c_37,c_173]) ).
cnf(c_48,plain,
ifeq(course(A),enrolled(michael,csc410),teaches(coordinatorof(A),A),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_174]) ).
cnf(c_175,plain,
ifeq(teaches(A,csc410),enrolled(michael,csc410),ifeq(course(csc410),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(michael),enrolled(michael,csc410),taughtby(michael,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_1,c_47]) ).
cnf(c_176,plain,
ifeq(teaches(A,csc410),enrolled(michael,csc410),ifeq(enrolled(michael,csc410),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(student(michael),enrolled(michael,csc410),taughtby(michael,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_175]) ).
cnf(c_177,plain,
ifeq(teaches(A,csc410),enrolled(michael,csc410),ifeq(enrolled(michael,csc410),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),ifeq(enrolled(michael,csc410),enrolled(michael,csc410),taughtby(michael,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_45,c_176]) ).
cnf(c_178,plain,
ifeq(teaches(A,csc410),enrolled(michael,csc410),ifeq(enrolled(michael,csc410),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),taughtby(michael,A),enrolled(michael,csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_1,c_177]) ).
cnf(c_59,plain,
ifeq(teaches(A,csc410),enrolled(michael,csc410),ifeq(professor(A),enrolled(michael,csc410),taughtby(michael,A),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_1,c_178]) ).
cnf(c_179,plain,
ifeq(enrolled(michael,csc410),enrolled(michael,csc410),teaches(coordinatorof(csc410),csc410),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_37,c_48]) ).
cnf(c_65,plain,
teaches(coordinatorof(csc410),csc410) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_1,c_179]) ).
cnf(c_180,plain,
ifeq(teaches(coordinatorof(csc410),csc410),enrolled(michael,csc410),ifeq(enrolled(michael,csc410),enrolled(michael,csc410),taughtby(michael,coordinatorof(csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_44,c_59]) ).
cnf(c_181,plain,
ifeq(enrolled(michael,csc410),enrolled(michael,csc410),ifeq(enrolled(michael,csc410),enrolled(michael,csc410),taughtby(michael,coordinatorof(csc410)),enrolled(michael,csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_65,c_180]) ).
cnf(c_182,plain,
ifeq(enrolled(michael,csc410),enrolled(michael,csc410),taughtby(michael,coordinatorof(csc410)),enrolled(michael,csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_1,c_181]) ).
cnf(c_85,plain,
taughtby(michael,coordinatorof(csc410)) = enrolled(michael,csc410),
inference(paramod,[status(thm)],[c_1,c_182]) ).
cnf(c_86,plain,
$false,
inference(resolve,[status(thm)],[c_85,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:22:00 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 3209566 was started by sandbox on n015,
% 0.12/0.36 % Sat Sep 26 05:22:00 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.38
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38
% 0.12/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/0.38 % Length of proof is 31.
% 0.12/0.38 % Level of proof is 9.
% 0.12/0.38 % Maximum clause weight is 54.000.
% 0.12/0.38 % Given clauses 22.
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------