%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 : Thu Sep 24 02:00:08 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 35 unt; 1 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
student(michael) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
professor(victor) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
course(csc410) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : ifeq(course(X),true,teaches(coordinatorof(X),X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Z,Y,X] : ifeq(teaches(Z,Y),true,ifeq(enrolled(X,Y),true,ifeq(course(Y),true,ifeq(professor(Z),true,ifeq(student(X),true,taughtby(X,Z),true),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
enrolled(michael,csc410) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
taughtby(michael,victor) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
student(michael) = true,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
professor(victor) = true,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
course(csc410) = true,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
! [X0] : ifeq(course(X0),true,teaches(coordinatorof(X0),X0),true) = true,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
! [X0,X1,X2] : 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(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
enrolled(michael,csc410) = true,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f42,plain,
taughtby(michael,victor) != true,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f43,definition,
sF0_fnc = taughtby(michael,victor),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f44,plain,
sF0_fnc != true,
inference(definition_folding,[],[f42,f43]) ).
fof(f48,plain,
! [X0] : ifeq(teaches(victor,X0),true,ifeq(enrolled(michael,X0),true,ifeq(course(X0),true,ifeq(professor(victor),true,ifeq(student(michael),true,sF0_fnc,true),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f43,f39]) ).
fof(f50,plain,
! [X0] : ifeq(teaches(victor,X0),true,ifeq(enrolled(michael,X0),true,ifeq(course(X0),true,ifeq(true,true,ifeq(student(michael),true,sF0_fnc,true),true),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f48]) ).
fof(f51,plain,
! [X0] : ifeq(teaches(victor,X0),true,ifeq(enrolled(michael,X0),true,ifeq(course(X0),true,ifeq(true,true,ifeq(true,true,sF0_fnc,true),true),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f26,f50]) ).
fof(f110,plain,
! [X0] : ifeq(teaches(victor,X0),true,ifeq(enrolled(michael,X0),true,ifeq(course(X0),true,ifeq(true,true,sF0_fnc,true),true),true),true) = true,
inference(backward_demodulation,[status(thm)],[f22,f51]) ).
fof(f116,plain,
! [X0] : ifeq(teaches(victor,X0),true,ifeq(enrolled(michael,X0),true,ifeq(course(X0),true,sF0_fnc,true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f22,f110]) ).
fof(f241,plain,
ifeq(teaches(victor,csc410),true,ifeq(true,true,ifeq(course(csc410),true,sF0_fnc,true),true),true) = true,
inference(paramodulation,[status(thm)],[f40,f116]) ).
fof(f251,plain,
ifeq(teaches(victor,csc410),true,ifeq(course(csc410),true,sF0_fnc,true),true) = true,
inference(forward_demodulation,[status(thm)],[f22,f241]) ).
fof(f252,plain,
ifeq(teaches(victor,csc410),true,ifeq(true,true,sF0_fnc,true),true) = true,
inference(forward_demodulation,[status(thm)],[f28,f251]) ).
fof(f253,plain,
ifeq(teaches(victor,csc410),true,sF0_fnc,true) = true,
inference(forward_demodulation,[status(thm)],[f22,f252]) ).
fof(f675,plain,
ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = true,
inference(paramodulation,[status(thm)],[f28,f38]) ).
fof(f690,plain,
teaches(coordinatorof(csc410),csc410) = true,
inference(forward_demodulation,[status(thm)],[f22,f675]) ).
fof(f691,plain,
teaches(victor,csc410) = true,
inference(forward_demodulation,[status(thm)],[f41,f690]) ).
fof(f701,plain,
ifeq(true,true,sF0_fnc,true) = true,
inference(backward_demodulation,[status(thm)],[f691,f253]) ).
fof(f705,plain,
sF0_fnc = true,
inference(forward_demodulation,[status(thm)],[f22,f701]) ).
fof(f706,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f705,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:55:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41 % Elapsed time: 0.031090 seconds
% 0.15/0.41 % CPU time: 0.080536 seconds
% 0.15/0.41 % Total memory used: 5.553 MB
% 0.15/0.41 % Net memory used: 5.519 MB
%------------------------------------------------------------------------------