%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /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 08:22:19 AM UTC 2026
% Result : Unsatisfiable 27.27s 3.84s
% Output : CNFRefutation 27.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 24 RR)
% Number of literals : 32 ( 31 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(michael_type,axiom,
student(michael) = true ).
cnf(victor_type,axiom,
professor(victor) = true ).
cnf(csc410_type,axiom,
course(csc410) = true ).
cnf(coordinator_teaches,axiom,
ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true ).
cnf(student_enrolled_taught,axiom,
ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,ifeq(professor(X0),true,ifeq(student(X2),true,taughtby(X2,X0),true),true),true),true),true) = true ).
cnf(michael_enrolled_csc410_axiom,axiom,
enrolled(michael,csc410) = true ).
cnf(victor_coordinator_csc410_axiom,axiom,
coordinatorof(csc410) = victor ).
cnf(teaching_conjecture,negated_conjecture,
taughtby(michael,victor) != true ).
cnf(c0,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c4,plain,
student(michael) = true,
inference(clausification,[status(esa)],[michael_type]) ).
cnf(c5,plain,
professor(victor) = true,
inference(clausification,[status(esa)],[victor_type]) ).
cnf(c6,plain,
course(csc410) = true,
inference(clausification,[status(esa)],[csc410_type]) ).
cnf(c16,plain,
ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true,
inference(clausification,[status(esa)],[coordinator_teaches]) ).
cnf(c17,plain,
ifeq(teaches(X0,X1),true,ifeq(enrolled(X2,X1),true,ifeq(course(X1),true,ifeq(professor(X0),true,ifeq(student(X2),true,taughtby(X2,X0),true),true),true),true),true) = true,
inference(clausification,[status(esa)],[student_enrolled_taught]) ).
cnf(c18,plain,
enrolled(michael,csc410) = true,
inference(clausification,[status(esa)],[michael_enrolled_csc410_axiom]) ).
cnf(c19,plain,
coordinatorof(csc410) = victor,
inference(clausification,[status(esa)],[victor_coordinator_csc410_axiom]) ).
cnf(c20,plain,
taughtby(michael,victor) != true,
inference(clausification,[status(esa)],[teaching_conjecture]) ).
cnf(d0,plain,
ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = true,
inference(superposition,[status(thm)],[c6,c16]) ).
cnf(d1,plain,
teaches(coordinatorof(csc410),csc410) = true,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
teaches(victor,csc410) = true,
inference(demodulation,[status(thm)],[d1,c19]) ).
cnf(d3,plain,
ifeq(teaches(victor,X0),true,ifeq(enrolled(X1,X0),true,ifeq(course(X0),true,ifeq(true,true,ifeq(student(X1),true,taughtby(X1,victor),true),true),true),true),true) = true,
inference(superposition,[status(thm)],[c5,c17]) ).
cnf(d4,plain,
ifeq(teaches(victor,X1),true,ifeq(enrolled(X0,X1),true,ifeq(course(X1),true,ifeq(student(X0),true,taughtby(X0,victor),true),true),true),true) = true,
inference(demodulation,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
ifeq(teaches(victor,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(student(michael),true,taughtby(michael,victor),true),true),true),true) = true,
inference(superposition,[status(thm)],[c18,d4]) ).
cnf(d6,plain,
ifeq(true,true,ifeq(true,true,ifeq(course(csc410),true,ifeq(student(michael),true,taughtby(michael,victor),true),true),true),true) = true,
inference(demodulation,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
ifeq(true,true,ifeq(course(csc410),true,ifeq(student(michael),true,taughtby(michael,victor),true),true),true) = true,
inference(demodulation,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
ifeq(course(csc410),true,ifeq(student(michael),true,taughtby(michael,victor),true),true) = true,
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
ifeq(true,true,ifeq(student(michael),true,taughtby(michael,victor),true),true) = true,
inference(demodulation,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
ifeq(student(michael),true,taughtby(michael,victor),true) = true,
inference(demodulation,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
ifeq(true,true,taughtby(michael,victor),true) = true,
inference(demodulation,[status(thm)],[d10,c4]) ).
cnf(d12,plain,
taughtby(michael,victor) = true,
inference(demodulation,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c20,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 05:21:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.27/3.84 % SZS status Unsatisfiable for theBenchmark.p
% 27.27/3.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------