%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 08:22:19 AM UTC 2026
% Result : Theorem 10.39s 1.73s
% Output : CNFRefutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 48 ( 2 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 17 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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 : 11 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(michael_type,axiom,
student(michael) ).
fof(victor_type,axiom,
professor(victor) ).
fof(csc410_type,axiom,
course(csc410) ).
fof(coordinator_teaches,axiom,
! [X0] :
( course(X0)
=> teaches(coordinatorof(X0),X0) ) ).
fof(student_enrolled_taught,axiom,
! [X0,X1] :
( ( course(X1)
& student(X0) )
=> ( enrolled(X0,X1)
=> ! [X2] :
( professor(X2)
=> ( teaches(X2,X1)
=> taughtby(X0,X2) ) ) ) ) ).
fof(michael_enrolled_csc410_axiom,axiom,
enrolled(michael,csc410) ).
fof(victor_coordinator_csc410_axiom,axiom,
coordinatorof(csc410) = victor ).
fof(teaching_conjecture,conjecture,
taughtby(michael,victor) ).
fof(negated_conjecture,negated_conjecture,
~ taughtby(michael,victor),
inference(negate_conjecture,[status(cth)],[teaching_conjecture]) ).
cnf(c3,plain,
student(michael),
inference(clausification,[status(esa)],[michael_type]) ).
cnf(c4,plain,
professor(victor),
inference(clausification,[status(esa)],[victor_type]) ).
cnf(c5,plain,
course(csc410),
inference(clausification,[status(esa)],[csc410_type]) ).
cnf(c15,plain,
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(clausification,[status(esa)],[coordinator_teaches]) ).
cnf(c16,plain,
( ~ course(X2)
| ~ enrolled(X0,X2)
| taughtby(X0,X1)
| ~ professor(X1)
| ~ teaches(X1,X2)
| ~ student(X0) ),
inference(clausification,[status(esa)],[student_enrolled_taught]) ).
cnf(c17,plain,
enrolled(michael,csc410),
inference(clausification,[status(esa)],[michael_enrolled_csc410_axiom]) ).
cnf(c18,plain,
coordinatorof(csc410) = victor,
inference(clausification,[status(esa)],[victor_coordinator_csc410_axiom]) ).
cnf(c19,plain,
~ taughtby(michael,victor),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ course(csc410)
| teaches(victor,csc410) ),
inference(superposition,[status(thm)],[c18,c15]) ).
cnf(d1,plain,
teaches(victor,csc410),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
( taughtby(X0,victor)
| ~ enrolled(X0,csc410)
| ~ course(csc410)
| ~ professor(victor)
| ~ student(X0) ),
inference(resolution,[status(thm)],[c16,d1]) ).
cnf(d3,plain,
( taughtby(X0,victor)
| ~ enrolled(X0,csc410)
| ~ course(csc410)
| ~ student(X0) ),
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
( taughtby(X0,victor)
| ~ enrolled(X0,csc410)
| ~ student(X0) ),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
( taughtby(michael,victor)
| ~ student(michael) ),
inference(resolution,[status(thm)],[d4,c17]) ).
cnf(d6,plain,
~ student(michael),
inference(resolution,[status(thm)],[c19,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c3,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 05:18:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.39/1.73 % SZS status Theorem for theBenchmark.p
% 10.39/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------