%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL231-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:09:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL231-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:13:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.68 % Refutation found
% 0.09/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.68 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.68 fof(f2,axiom,(
% 0.09/0.68 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f3,axiom,(
% 0.09/0.68 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f4,axiom,(
% 0.09/0.68 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f5,axiom,(
% 0.09/0.68 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f6,axiom,(
% 0.09/0.68 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f7,axiom,(
% 0.09/0.68 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f8,axiom,(
% 0.09/0.68 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f9,negated_conjecture,(
% 0.09/0.68 ~ theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))) ),
% 0.09/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.68 fof(f11,plain,(
% 0.09/0.68 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.68 fof(f12,plain,(
% 0.09/0.68 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.68 fof(f13,plain,(
% 0.09/0.68 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.68 fof(f14,plain,(
% 0.09/0.68 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.68 fof(f15,plain,(
% 0.09/0.68 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.68 fof(f16,plain,(
% 0.09/0.68 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.09/0.68 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.68 fof(f17,plain,(
% 0.09/0.68 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.68 fof(f18,plain,(
% 0.09/0.68 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.09/0.68 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.68 fof(f19,plain,(
% 0.09/0.68 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.68 fof(f20,plain,(
% 0.09/0.68 ~theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r))))),
% 0.09/0.68 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.68 fof(f23,plain,(
% 0.09/0.68 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(X1,X0))))),
% 0.09/0.68 inference(resolution,[status(thm)],[f12,f15])).
% 0.09/0.68 fof(f28,plain,(
% 0.09/0.68 ![X0,X1,X2,X3]: (~axiom(or(not(X0),X1))|~theorem(or(not(X1),X2))|theorem(X3)|~axiom(or(not(or(not(X0),X2)),X3)))),
% 0.09/0.68 inference(resolution,[status(thm)],[f19,f17])).
% 0.09/0.68 fof(f29,plain,(
% 0.09/0.68 ![X0,X1,X2]: (theorem(X0)|~axiom(or(not(or(not(or(X1,X2)),or(X2,X1))),X0)))),
% 0.09/0.68 inference(resolution,[status(thm)],[f23,f17])).
% 0.09/0.69 fof(f30,plain,(
% 0.09/0.69 ![X0]: (~axiom(or(not(or(not(or(not(p),q)),or(not(p),r))),X0))|~theorem(or(not(X0),or(not(p),or(not(q),r)))))),
% 0.09/0.69 inference(resolution,[status(thm)],[f20,f19])).
% 0.09/0.69 fof(f41,plain,(
% 0.09/0.69 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(not(or(X1,X0)),X2)),X3)))),
% 0.09/0.69 inference(resolution,[status(thm)],[f28,f12])).
% 0.09/0.69 fof(f43,plain,(
% 0.09/0.69 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(not(X1),X2)),X3)))),
% 0.09/0.69 inference(resolution,[status(thm)],[f28,f11])).
% 0.09/0.69 fof(f46,plain,(
% 0.09/0.69 ~theorem(or(not(or(not(p),or(not(or(not(p),q)),r))),or(not(p),or(not(q),r))))),
% 0.09/0.69 inference(resolution,[status(thm)],[f30,f13])).
% 0.09/0.69 fof(f54,plain,(
% 0.09/0.69 ![X0,X1]: (theorem(or(X0,or(not(or(X1,X0)),X1))))),
% 0.09/0.69 inference(resolution,[status(thm)],[f29,f13])).
% 0.09/0.69 fof(f80,plain,(
% 0.09/0.69 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(or(X3,or(X1,X0))),or(X3,X2))))),
% 0.09/0.69 inference(resolution,[status(thm)],[f41,f14])).
% 0.09/0.69 fof(f93,plain,(
% 0.09/0.69 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),or(X2,X3)))|theorem(or(X2,or(not(X1),X3))))),
% 0.09/0.70 inference(resolution,[status(thm)],[f43,f13])).
% 0.09/0.70 fof(f272,plain,(
% 0.09/0.70 ~theorem(or(not(or(r,not(or(not(p),q)))),or(not(q),r)))),
% 0.09/0.70 inference(resolution,[status(thm)],[f80,f46])).
% 0.09/0.70 fof(f372,plain,(
% 0.09/0.70 ![X0,X1,X2]: (theorem(or(not(or(X0,not(or(X1,X2)))),or(not(X2),X0))))),
% 0.09/0.70 inference(resolution,[status(thm)],[f93,f54])).
% 0.09/0.70 fof(f380,plain,(
% 0.09/0.70 $false),
% 0.09/0.70 inference(backward_subsumption_resolution,[status(thm)],[f272,f372])).
% 0.09/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.73 % Elapsed time: 0.347781 seconds
% 0.09/0.73 % CPU time: 2.440068 seconds
% 0.09/0.73 % Total memory used: 91.510 MB
% 0.09/0.73 % Net memory used: 89.262 MB
%------------------------------------------------------------------------------