%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 55 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 25 ~; 21 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(coordinator_of_type,axiom,
! [A] :
( course(A)
=> professor(coordinatorof(A)) ),
file('theBenchmark.p',coordinator_of_type) ).
fof(coordinator_teaches,axiom,
! [X] :
( course(X)
=> teaches(coordinatorof(X),X) ),
file('theBenchmark.p',coordinator_teaches) ).
fof(student_enrolled_taught,axiom,
! [X,Y] :
( ( course(Y)
& student(X) )
=> ( enrolled(X,Y)
=> ! [Z] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) ),
file('theBenchmark.p',student_enrolled_taught) ).
fof(teaching_conjecture,conjecture,
taughtby(michael,victor),
file('theBenchmark.p',teaching_conjecture) ).
fof(teaching_conjecture_neg,negated_conjecture,
~ taughtby(michael,victor),
inference(assume_negation,[status(cth)],[teaching_conjecture]) ).
fof(michael_type,axiom,
student(michael),
file('theBenchmark.p',michael_type) ).
cnf(c_13,plain,
student(michael),
inference(clausify,[status(thm)],[michael_type]) ).
cnf(c_17,plain,
( taughtby(A,C)
| ~ teaches(C,B)
| ~ professor(C)
| ~ enrolled(A,B)
| ~ course(B)
| ~ student(A) ),
inference(clausify,[status(thm)],[student_enrolled_taught]) ).
cnf(c_20,plain,
( taughtby(michael,B)
| ~ teaches(B,A)
| ~ professor(B)
| ~ enrolled(michael,A)
| ~ course(A) ),
inference(resolve,[status(thm)],[c_17,c_13]) ).
cnf(c_24,plain,
( professor(coordinatorof(A))
| ~ course(A) ),
inference(clausify,[status(thm)],[coordinator_of_type]) ).
cnf(c_38,plain,
( taughtby(michael,coordinatorof(A))
| ~ teaches(coordinatorof(A),B)
| ~ enrolled(michael,B)
| ~ course(B)
| ~ course(A) ),
inference(resolve,[status(thm)],[c_24,c_20]) ).
fof(csc410_type,axiom,
course(csc410),
file('theBenchmark.p',csc410_type) ).
cnf(c_48,plain,
course(csc410),
inference(clausify,[status(thm)],[csc410_type]) ).
cnf(c_51,plain,
( teaches(coordinatorof(A),A)
| ~ course(A) ),
inference(clausify,[status(thm)],[coordinator_teaches]) ).
fof(michael_enrolled_csc410_axiom,axiom,
enrolled(michael,csc410),
file('theBenchmark.p',michael_enrolled_csc410_axiom) ).
cnf(c_52,plain,
enrolled(michael,csc410),
inference(clausify,[status(thm)],[michael_enrolled_csc410_axiom]) ).
fof(victor_coordinator_csc410_axiom,axiom,
coordinatorof(csc410) = victor,
file('theBenchmark.p',victor_coordinator_csc410_axiom) ).
cnf(c_53,plain,
coordinatorof(csc410) = victor,
inference(clausify,[status(thm)],[victor_coordinator_csc410_axiom]) ).
cnf(c_54,plain,
victor = coordinatorof(csc410),
inference(copy,[status(thm)],[c_53]) ).
cnf(c_55,negated_conjecture,
~ taughtby(michael,victor),
inference(clausify,[status(thm)],[teaching_conjecture_neg]) ).
cnf(c_56,negated_conjecture,
~ taughtby(michael,coordinatorof(csc410)),
inference(paramod,[status(thm)],[c_54,c_55]) ).
cnf(c_84,plain,
teaches(coordinatorof(csc410),csc410),
inference(resolve,[status(thm)],[c_51,c_48]) ).
cnf(c_89,plain,
( taughtby(michael,coordinatorof(csc410))
| ~ teaches(coordinatorof(csc410),A)
| ~ enrolled(michael,A)
| ~ course(A) ),
inference(resolve,[status(thm)],[c_38,c_48]) ).
cnf(c_90,plain,
( taughtby(michael,coordinatorof(csc410))
| ~ teaches(coordinatorof(csc410),csc410)
| ~ enrolled(michael,csc410) ),
inference(resolve,[status(thm)],[c_89,c_48]) ).
cnf(c_91,plain,
( taughtby(michael,coordinatorof(csc410))
| ~ teaches(coordinatorof(csc410),csc410) ),
inference(resolve,[status(thm)],[c_90,c_52]) ).
cnf(c_87,negated_conjecture,
~ teaches(coordinatorof(csc410),csc410),
inference(resolve,[status(thm)],[c_91,c_56]) ).
cnf(c_88,plain,
$false,
inference(resolve,[status(thm)],[c_87,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 05:21:41 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 161323 was started by sandbox on n026,
% 0.18/0.45 % Sat Sep 26 05:21:41 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47
% 0.18/0.47 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.18/0.47 % Length of proof is 19.
% 0.18/0.47 % Level of proof is 5.
% 0.18/0.47 % Maximum clause weight is 15.000.
% 0.18/0.47 % Given clauses 23.
% 0.18/0.47
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------