%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL218-1 : 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 : n008.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 01:09:38 PM UTC 2026
% Result : Unsatisfiable 13.31s 2.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL218-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n008.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 00:12:25 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.55 % Drodi V4.1.1
% 13.31/2.33 % Refutation found
% 13.31/2.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.31/2.33 % SZS output start CNFRefutation for theBenchmark
% 13.31/2.33 fof(f1,axiom,(
% 13.31/2.33 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f2,axiom,(
% 13.31/2.33 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f3,axiom,(
% 13.31/2.33 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f4,axiom,(
% 13.31/2.33 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f6,axiom,(
% 13.31/2.33 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f7,axiom,(
% 13.31/2.33 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f8,axiom,(
% 13.31/2.33 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f9,negated_conjecture,(
% 13.31/2.33 ~ theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) ),
% 13.31/2.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.31/2.33 fof(f10,plain,(
% 13.31/2.33 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f1])).
% 13.31/2.33 fof(f11,plain,(
% 13.31/2.33 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f2])).
% 13.31/2.33 fof(f12,plain,(
% 13.31/2.33 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f3])).
% 13.31/2.33 fof(f13,plain,(
% 13.31/2.33 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f4])).
% 13.31/2.33 fof(f15,plain,(
% 13.31/2.33 ![X0]: (theorem(X0)|~axiom(X0))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f6])).
% 13.31/2.33 fof(f16,plain,(
% 13.31/2.33 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 13.31/2.33 inference(miniscoping,[status(thm)],[f7])).
% 13.31/2.33 fof(f17,plain,(
% 13.31/2.33 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f16])).
% 13.31/2.33 fof(f18,plain,(
% 13.31/2.33 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 13.31/2.33 inference(miniscoping,[status(thm)],[f8])).
% 13.31/2.33 fof(f19,plain,(
% 13.31/2.33 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f18])).
% 13.31/2.33 fof(f20,plain,(
% 13.31/2.33 ~theorem(or(not(or(not(or(p,q)),q)),or(not(p),q)))),
% 13.31/2.33 inference(cnf_transformation,[status(thm)],[f9])).
% 13.31/2.33 fof(f21,plain,(
% 13.31/2.33 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f10,f17])).
% 13.31/2.33 fof(f34,plain,(
% 13.31/2.33 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f12,f17])).
% 13.31/2.33 fof(f35,plain,(
% 13.31/2.33 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(X1,X0))))),
% 13.31/2.33 inference(resolution,[status(thm)],[f12,f15])).
% 13.31/2.33 fof(f37,plain,(
% 13.31/2.33 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 13.31/2.33 inference(resolution,[status(thm)],[f13,f17])).
% 13.31/2.33 fof(f43,plain,(
% 13.31/2.33 ![X0,X1,X2]: (~theorem(or(X0,not(X1)))|theorem(or(not(X2),X0))|~axiom(or(not(X2),X1)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f34,f19])).
% 13.31/2.33 fof(f45,plain,(
% 13.31/2.33 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~axiom(or(not(X0),or(X2,X1))))),
% 13.31/2.33 inference(resolution,[status(thm)],[f35,f19])).
% 13.31/2.33 fof(f53,plain,(
% 13.31/2.33 ![X0,X1,X2,X3]: (~theorem(or(X0,or(not(X1),X2)))|theorem(or(not(X3),or(X0,X2)))|~axiom(or(not(X3),X1)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f37,f19])).
% 13.31/2.33 fof(f54,plain,(
% 13.31/2.33 ![X0,X1]: (~theorem(or(X0,or(or(X0,X1),X1)))|theorem(or(X0,X1)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f37,f21])).
% 13.31/2.33 fof(f60,plain,(
% 13.31/2.33 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(or(or(X0,X1),X1),X0)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f54,f34])).
% 13.31/2.33 fof(f70,plain,(
% 13.31/2.33 ![X0,X1,X2,X3]: (~theorem(or(X0,not(X1)))|~axiom(or(not(X2),X1))|theorem(or(not(X3),X0))|~axiom(or(not(X3),X2)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f43,f19])).
% 13.31/2.33 fof(f74,plain,(
% 13.31/2.33 ![X0,X1,X2,X3]: (~axiom(or(not(X0),or(X1,X2)))|theorem(or(not(X3),or(X2,X1)))|~axiom(or(not(X3),X0)))),
% 13.31/2.33 inference(resolution,[status(thm)],[f45,f19])).
% 9.18/2.39 fof(f83,plain,(
% 9.18/2.39 ![X0]: (~theorem(or(not(p),or(not(X0),q)))|~axiom(or(not(or(not(or(p,q)),q)),X0)))),
% 9.18/2.39 inference(resolution,[status(thm)],[f53,f20])).
% 9.18/2.39 fof(f97,plain,(
% 9.18/2.39 ![X0,X1,X2]: (theorem(or(or(X0,X1),X2))|~theorem(or(X0,or(or(or(or(X0,X1),X2),X2),X1))))),
% 9.18/2.39 inference(resolution,[status(thm)],[f60,f37])).
% 9.18/2.39 fof(f144,plain,(
% 9.18/2.39 ![X0,X1,X2,X3]: (~theorem(or(X0,not(X1)))|~axiom(or(not(or(X2,X3)),X1))|theorem(or(not(X3),X0)))),
% 9.18/2.39 inference(resolution,[status(thm)],[f70,f11])).
% 9.18/2.39 fof(f157,plain,(
% 9.18/2.39 ![X0,X1,X2,X3]: (~axiom(or(not(or(X0,X1)),or(X2,X3)))|theorem(or(not(X1),or(X3,X2))))),
% 9.18/2.39 inference(resolution,[status(thm)],[f74,f11])).
% 9.18/2.39 fof(f230,plain,(
% 9.18/2.39 ~theorem(or(not(p),or(not(or(q,not(or(p,q)))),q)))),
% 9.18/2.39 inference(resolution,[status(thm)],[f83,f12])).
% 9.18/2.39 fof(f388,plain,(
% 9.18/2.39 ![X0,X1,X2]: (~theorem(or(X0,not(or(X1,X2))))|theorem(or(not(X1),X0)))),
% 9.18/2.39 inference(resolution,[status(thm)],[f144,f12])).
% 9.18/2.39 fof(f471,plain,(
% 9.18/2.39 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))))),
% 9.18/2.39 inference(resolution,[status(thm)],[f157,f13])).
% 9.18/2.39 fof(f2338,plain,(
% 9.18/2.39 ![X0,X1]: (theorem(or(or(not(or(X0,X1)),X0),X1)))),
% 9.18/2.39 inference(resolution,[status(thm)],[f471,f97])).
% 9.18/2.39 fof(f2656,plain,(
% 9.18/2.39 ![X0,X1,X2]: (theorem(or(not(X0),or(not(or(X1,not(or(X0,X2)))),X1))))),
% 9.18/2.39 inference(resolution,[status(thm)],[f2338,f388])).
% 9.18/2.39 fof(f2662,plain,(
% 9.18/2.39 $false),
% 9.18/2.39 inference(backward_subsumption_resolution,[status(thm)],[f230,f2656])).
% 9.18/2.39 % SZS output end CNFRefutation for theBenchmark.p
% 10.11/2.41 % Elapsed time: 1.852225 seconds
% 10.11/2.41 % CPU time: 14.309141 seconds
% 10.11/2.41 % Total memory used: 208.322 MB
% 10.11/2.41 % Net memory used: 196.123 MB
%------------------------------------------------------------------------------