%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 : Tue Sep 29 12:30:58 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 34 RR)
% Number of literals : 61 ( 60 equ; 1 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 : 31 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
taughtby(michael,victor) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
cnf(c2,axiom,
ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c3,plain,
ifeq(true,true,taughtby(michael,victor),true) = taughtby(michael,victor),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
taughtby(michael,victor) = ifeq(true,true,taughtby(michael,victor),true),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
ifeq(true,true,ifeq(true,true,taughtby(michael,victor),true),true) = ifeq(true,true,taughtby(michael,victor),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
ifeq(true,true,taughtby(michael,victor),true) = ifeq(true,true,ifeq(true,true,taughtby(michael,victor),true),true),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c8,plain,
victor = coordinatorof(csc410),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
teaches(victor,csc410) = teaches(coordinatorof(csc410),csc410),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = teaches(coordinatorof(csc410),csc410),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
teaches(coordinatorof(csc410),csc410) = ifeq(true,true,teaches(coordinatorof(csc410),csc410),true),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,axiom,
course(csc410) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c13,plain,
true = course(csc410),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = ifeq(course(csc410),true,teaches(coordinatorof(csc410),csc410),true),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,axiom,
ifeq(course(X),true,teaches(coordinatorof(X),X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
cnf(c16,plain,
ifeq(course(csc410),true,teaches(coordinatorof(csc410),csc410),true) = true,
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = true,
inference(transitivity,[status(thm)],[c14,c16]) ).
cnf(c18,plain,
teaches(coordinatorof(csc410),csc410) = true,
inference(transitivity,[status(thm)],[c11,c17]) ).
cnf(c19,plain,
teaches(victor,csc410) = true,
inference(transitivity,[status(thm)],[c9,c18]) ).
cnf(c20,plain,
true = teaches(victor,csc410),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
ifeq(true,true,ifeq(true,true,taughtby(michael,victor),true),true) = ifeq(teaches(victor,csc410),true,ifeq(true,true,taughtby(michael,victor),true),true),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,axiom,
professor(victor) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c23,plain,
true = professor(victor),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
ifeq(true,true,taughtby(michael,victor),true) = ifeq(professor(victor),true,taughtby(michael,victor),true),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
ifeq(teaches(victor,csc410),true,ifeq(true,true,taughtby(michael,victor),true),true) = ifeq(teaches(victor,csc410),true,ifeq(professor(victor),true,taughtby(michael,victor),true),true),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
ifeq(true,true,taughtby(michael,X2),true) = taughtby(michael,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
taughtby(michael,X2) = ifeq(true,true,taughtby(michael,X2),true),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
ifeq(professor(X2),true,taughtby(michael,X2),true) = ifeq(professor(X2),true,ifeq(true,true,taughtby(michael,X2),true),true),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,taughtby(michael,X2),true),true) = ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,ifeq(true,true,taughtby(michael,X2),true),true),true),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,axiom,
student(michael) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c31,plain,
true = student(michael),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
ifeq(true,true,taughtby(michael,X2),true) = ifeq(student(michael),true,taughtby(michael,X2),true),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
ifeq(professor(X2),true,ifeq(true,true,taughtby(michael,X2),true),true) = ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,ifeq(true,true,taughtby(michael,X2),true),true),true) = ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
ifeq(true,true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true) = ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c36,plain,
ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true) = ifeq(true,true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true) = ifeq(teaches(X2,csc410),true,ifeq(true,true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
true = course(csc410),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c39,plain,
ifeq(true,true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true) = ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
ifeq(teaches(X2,csc410),true,ifeq(true,true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true) = ifeq(teaches(X2,csc410),true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true) = ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c42,plain,
ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true) = ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
ifeq(teaches(X2,csc410),true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true) = ifeq(teaches(X2,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),true),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,axiom,
enrolled(michael,csc410) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c45,plain,
true = enrolled(michael,csc410),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true) = ifeq(enrolled(michael,csc410),true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
ifeq(teaches(X2,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),true) = ifeq(teaches(X2,csc410),true,ifeq(enrolled(michael,csc410),true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),true),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,axiom,
ifeq(teaches(Z,Y),true,ifeq(enrolled(X2,Y),true,ifeq(course(Y),true,ifeq(professor(Z),true,ifeq(student(X2),true,taughtby(X2,Z),true),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
cnf(c49,plain,
ifeq(teaches(X2,csc410),true,ifeq(enrolled(michael,csc410),true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),true) = true,
inference(substitution,[status(thm)],[c48]) ).
cnf(c50,plain,
ifeq(teaches(X2,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true),true) = true,
inference(transitivity,[status(thm)],[c47,c49]) ).
cnf(c51,plain,
ifeq(teaches(X2,csc410),true,ifeq(course(csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true) = true,
inference(transitivity,[status(thm)],[c43,c50]) ).
cnf(c52,plain,
ifeq(teaches(X2,csc410),true,ifeq(true,true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true),true) = true,
inference(transitivity,[status(thm)],[c40,c51]) ).
cnf(c53,plain,
ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,ifeq(student(michael),true,taughtby(michael,X2),true),true),true) = true,
inference(transitivity,[status(thm)],[c37,c52]) ).
cnf(c54,plain,
ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,ifeq(true,true,taughtby(michael,X2),true),true),true) = true,
inference(transitivity,[status(thm)],[c34,c53]) ).
cnf(c55,plain,
ifeq(teaches(X2,csc410),true,ifeq(professor(X2),true,taughtby(michael,X2),true),true) = true,
inference(transitivity,[status(thm)],[c29,c54]) ).
cnf(c56,plain,
ifeq(teaches(victor,csc410),true,ifeq(professor(victor),true,taughtby(michael,victor),true),true) = true,
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
ifeq(teaches(victor,csc410),true,ifeq(true,true,taughtby(michael,victor),true),true) = true,
inference(transitivity,[status(thm)],[c25,c56]) ).
cnf(c58,plain,
ifeq(true,true,ifeq(true,true,taughtby(michael,victor),true),true) = true,
inference(transitivity,[status(thm)],[c21,c57]) ).
cnf(c59,plain,
ifeq(true,true,taughtby(michael,victor),true) = true,
inference(transitivity,[status(thm)],[c6,c58]) ).
cnf(c60,plain,
taughtby(michael,victor) = true,
inference(transitivity,[status(thm)],[c4,c59]) ).
cnf(c61,plain,
$false,
inference(resolution,[status(thm)],[c1,c60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:45:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.59 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 0.19/0.59
% 0.19/0.59 % SZS status Unsatisfiable
% 0.19/0.59
% 0.19/0.59 % SZS output start CNFRefutation
% See solution above
% 0.19/0.62
% 0.19/0.62 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------