%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL182-1 : 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 : n013.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 01:09:31 PM UTC 2026
% Result : Unsatisfiable 16.53s 2.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL182-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:08:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 16.53/2.56 % Refutation found
% 16.53/2.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.53/2.56 % SZS output start CNFRefutation for theBenchmark
% 16.53/2.56 fof(f1,axiom,(
% 16.53/2.56 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f2,axiom,(
% 16.53/2.56 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f3,axiom,(
% 16.53/2.56 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f4,axiom,(
% 16.53/2.56 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f5,axiom,(
% 16.53/2.56 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f6,axiom,(
% 16.53/2.56 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f7,axiom,(
% 16.53/2.56 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f8,axiom,(
% 16.53/2.56 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f9,negated_conjecture,(
% 16.53/2.56 ~ theorem(or(not(or(not(p),q)),or(not(not(q)),not(p)))) ),
% 16.53/2.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.53/2.56 fof(f10,plain,(
% 16.53/2.56 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f1])).
% 16.53/2.56 fof(f11,plain,(
% 16.53/2.56 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f2])).
% 16.53/2.56 fof(f12,plain,(
% 16.53/2.56 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f3])).
% 16.53/2.56 fof(f13,plain,(
% 16.53/2.56 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f4])).
% 16.53/2.56 fof(f14,plain,(
% 16.53/2.56 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f5])).
% 16.53/2.56 fof(f15,plain,(
% 16.53/2.56 ![X0]: (theorem(X0)|~axiom(X0))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f6])).
% 16.53/2.56 fof(f16,plain,(
% 16.53/2.56 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 16.53/2.56 inference(miniscoping,[status(thm)],[f7])).
% 16.53/2.56 fof(f17,plain,(
% 16.53/2.56 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f16])).
% 16.53/2.56 fof(f18,plain,(
% 16.53/2.56 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 16.53/2.56 inference(miniscoping,[status(thm)],[f8])).
% 16.53/2.56 fof(f19,plain,(
% 16.53/2.56 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f18])).
% 16.53/2.56 fof(f20,plain,(
% 16.53/2.56 ~theorem(or(not(or(not(p),q)),or(not(not(q)),not(p))))),
% 16.53/2.56 inference(cnf_transformation,[status(thm)],[f9])).
% 16.53/2.56 fof(f23,plain,(
% 16.53/2.56 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 16.53/2.56 inference(resolution,[status(thm)],[f10,f15])).
% 16.53/2.56 fof(f26,plain,(
% 16.53/2.56 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~theorem(or(not(or(X2,X0)),X1)))),
% 16.53/2.56 inference(resolution,[status(thm)],[f11,f19])).
% 16.53/2.56 fof(f33,plain,(
% 16.53/2.56 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),X2))|~theorem(or(not(or(X1,X0)),X2)))),
% 16.53/2.56 inference(resolution,[status(thm)],[f12,f19])).
% 16.53/2.56 fof(f37,plain,(
% 16.53/2.56 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 16.53/2.56 inference(resolution,[status(thm)],[f13,f17])).
% 16.53/2.56 fof(f39,plain,(
% 16.53/2.56 ![X0,X1,X2,X3]: (theorem(or(not(or(not(X0),X1)),X2))|~theorem(or(not(or(not(or(X3,X0)),or(X3,X1))),X2)))),
% 16.53/2.56 inference(resolution,[status(thm)],[f14,f19])).
% 16.53/2.56 fof(f40,plain,(
% 16.53/2.56 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(X0,X2)))|~theorem(or(not(X1),X2)))),
% 16.53/2.56 inference(resolution,[status(thm)],[f14,f17])).
% 16.53/2.56 fof(f99,plain,(
% 16.53/2.56 ![X0,X1]: (theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))))),
% 16.53/2.56 inference(resolution,[status(thm)],[f40,f23])).
% 16.53/2.56 fof(f398,plain,(
% 16.53/2.56 ![X0,X1]: (theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))))),
% 16.53/2.56 inference(resolution,[status(thm)],[f99,f39])).
% 16.53/2.56 fof(f2194,plain,(
% 16.53/2.56 ![X0,X1]: (theorem(or(not(or(X0,not(X1))),or(not(or(X0,X1)),X0))))),
% 16.53/2.56 inference(resolution,[status(thm)],[f398,f33])).
% 16.53/2.56 fof(f12665,plain,(
% 16.53/2.59 ![X0,X1]: (theorem(or(not(not(X0)),or(not(or(X1,X0)),X1))))),
% 16.53/2.59 inference(resolution,[status(thm)],[f2194,f26])).
% 16.53/2.59 fof(f12699,plain,(
% 16.53/2.59 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))))),
% 16.53/2.59 inference(resolution,[status(thm)],[f12665,f37])).
% 16.53/2.59 fof(f12703,plain,(
% 16.53/2.59 $false),
% 16.53/2.59 inference(backward_subsumption_resolution,[status(thm)],[f20,f12699])).
% 16.53/2.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.86/2.61 % Elapsed time: 2.227770 seconds
% 1.86/2.61 % CPU time: 17.312195 seconds
% 1.86/2.61 % Total memory used: 262.321 MB
% 1.86/2.61 % Net memory used: 244.501 MB
%------------------------------------------------------------------------------