%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL208-1 : 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 : n014.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 01:09:36 PM UTC 2026
% Result : Unsatisfiable 10.34s 1.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 00:11:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 10.34/1.76 % Refutation found
% 10.34/1.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.34/1.76 % SZS output start CNFRefutation for theBenchmark
% 10.34/1.76 fof(f1,axiom,(
% 10.34/1.76 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f2,axiom,(
% 10.34/1.76 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f3,axiom,(
% 10.34/1.76 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f4,axiom,(
% 10.34/1.76 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f5,axiom,(
% 10.34/1.76 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f6,axiom,(
% 10.34/1.76 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f7,axiom,(
% 10.34/1.76 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f8,axiom,(
% 10.34/1.76 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f9,negated_conjecture,(
% 10.34/1.76 ~ theorem(or(not(or(p,q)),or(not(not(p)),q))) ),
% 10.34/1.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.34/1.76 fof(f10,plain,(
% 10.34/1.76 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f1])).
% 10.34/1.76 fof(f11,plain,(
% 10.34/1.76 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f2])).
% 10.34/1.76 fof(f12,plain,(
% 10.34/1.76 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f3])).
% 10.34/1.76 fof(f13,plain,(
% 10.34/1.76 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f4])).
% 10.34/1.76 fof(f14,plain,(
% 10.34/1.76 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f5])).
% 10.34/1.76 fof(f15,plain,(
% 10.34/1.76 ![X0]: (theorem(X0)|~axiom(X0))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f6])).
% 10.34/1.76 fof(f16,plain,(
% 10.34/1.76 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 10.34/1.76 inference(miniscoping,[status(thm)],[f7])).
% 10.34/1.76 fof(f17,plain,(
% 10.34/1.76 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f16])).
% 10.34/1.76 fof(f18,plain,(
% 10.34/1.76 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 10.34/1.76 inference(miniscoping,[status(thm)],[f8])).
% 10.34/1.76 fof(f19,plain,(
% 10.34/1.76 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f18])).
% 10.34/1.76 fof(f20,plain,(
% 10.34/1.76 ~theorem(or(not(or(p,q)),or(not(not(p)),q)))),
% 10.34/1.76 inference(cnf_transformation,[status(thm)],[f9])).
% 10.34/1.76 fof(f21,plain,(
% 10.34/1.76 ![X0]: (theorem(or(not(or(X0,X0)),X0)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f10,f15])).
% 10.34/1.76 fof(f24,plain,(
% 10.34/1.76 ![X0,X1]: (theorem(X0)|~axiom(or(not(or(not(or(X1,X1)),X1)),X0)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f17,f21])).
% 10.34/1.76 fof(f32,plain,(
% 10.34/1.76 ![X0,X1]: (theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))))),
% 10.34/1.76 inference(resolution,[status(thm)],[f14,f24])).
% 10.34/1.76 fof(f40,plain,(
% 10.34/1.76 ![X0,X1,X2,X3]: (~axiom(or(not(X0),X1))|~theorem(or(not(X1),X2))|theorem(X3)|~axiom(or(not(or(not(X0),X2)),X3)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f19,f17])).
% 10.34/1.76 fof(f44,plain,(
% 10.34/1.76 ![X0]: (~axiom(or(not(or(p,q)),X0))|~theorem(or(not(X0),or(not(not(p)),q))))),
% 10.34/1.76 inference(resolution,[status(thm)],[f20,f19])).
% 10.34/1.76 fof(f65,plain,(
% 10.34/1.76 ![X0,X1,X2,X3,X4]: (~theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),X3))|theorem(X4)|~axiom(or(not(or(not(or(not(X1),X2)),X3)),X4)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f40,f14])).
% 10.34/1.76 fof(f67,plain,(
% 10.34/1.76 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(not(or(X1,X0)),X2)),X3)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f40,f12])).
% 10.34/1.76 fof(f68,plain,(
% 10.34/1.76 ![X0,X1,X2]: (~theorem(or(not(X0),X1))|theorem(X2)|~axiom(or(not(or(not(or(X0,X0)),X1)),X2)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f40,f10])).
% 10.34/1.76 fof(f69,plain,(
% 10.34/1.76 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(not(X1),X2)),X3)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f40,f11])).
% 10.34/1.79 fof(f75,plain,(
% 10.34/1.79 ~theorem(or(not(or(q,p)),or(not(not(p)),q)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f44,f12])).
% 10.34/1.79 fof(f108,plain,(
% 10.34/1.79 ![X0,X1,X2,X3,X4]: (~theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),or(X3,X4)))|theorem(or(X3,or(not(or(not(X1),X2)),X4))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f65,f13])).
% 10.34/1.79 fof(f127,plain,(
% 10.34/1.79 ![X0,X1,X2]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(X2,not(or(X1,X0)))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f67,f12])).
% 10.34/1.79 fof(f137,plain,(
% 10.34/1.79 ![X0,X1]: (~theorem(or(not(X0),X1))|theorem(or(X1,not(or(X0,X0)))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f68,f12])).
% 10.34/1.79 fof(f146,plain,(
% 10.34/1.79 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),or(X2,X3)))|theorem(or(X2,or(not(X1),X3))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f69,f13])).
% 10.34/1.79 fof(f149,plain,(
% 10.34/1.79 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(X3,or(not(X1),X2))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f69,f11])).
% 10.34/1.79 fof(f152,plain,(
% 10.34/1.79 ![X0,X1,X2]: (~theorem(or(not(X0),X1))|theorem(X2)|~axiom(or(not(or(X1,not(or(X0,X0)))),X2)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f137,f17])).
% 10.34/1.79 fof(f264,plain,(
% 10.34/1.79 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(not(or(not(X1),X0)),X0))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f108,f32])).
% 10.34/1.79 fof(f375,plain,(
% 10.34/1.79 ![X0,X1,X2]: (theorem(X0)|~axiom(or(not(or(not(or(X1,X2)),or(not(or(not(X2),X1)),X1))),X0)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f264,f17])).
% 10.34/1.79 fof(f470,plain,(
% 10.34/1.79 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(X2,not(or(X1,X0)))),X3)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f127,f17])).
% 10.34/1.79 fof(f630,plain,(
% 10.34/1.79 ![X0,X1,X2,X3,X4]: (~theorem(or(not(or(X0,X1)),X2))|theorem(X3)|~axiom(or(not(or(X4,or(not(X1),X2))),X3)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f149,f17])).
% 10.34/1.79 fof(f761,plain,(
% 10.34/1.79 ![X0,X1]: (~theorem(or(not(X0),X1))|theorem(or(not(or(X0,X0)),X1)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f152,f12])).
% 10.34/1.79 fof(f814,plain,(
% 10.34/1.79 ![X0,X1,X2]: (~theorem(or(not(X0),or(X1,X2)))|theorem(or(X1,or(not(X0),X2))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f761,f146])).
% 10.34/1.79 fof(f2150,plain,(
% 10.34/1.79 ~theorem(or(not(not(p)),or(not(or(q,p)),q)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f814,f75])).
% 10.34/1.79 fof(f2780,plain,(
% 10.34/1.79 ![X0,X1,X2]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(or(X1,X0)),X2)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f470,f12])).
% 10.34/1.79 fof(f3708,plain,(
% 10.34/1.79 ![X0,X1,X2]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(X1),X2)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f630,f10])).
% 10.34/1.79 fof(f4418,plain,(
% 10.34/1.79 ![X0,X1]: (theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f375,f13])).
% 10.34/1.79 fof(f4575,plain,(
% 10.34/1.79 ![X0,X1,X2]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(X0),X2)))),
% 10.34/1.79 inference(resolution,[status(thm)],[f2780,f3708])).
% 10.34/1.79 fof(f4607,plain,(
% 10.34/1.79 ![X0,X1]: (theorem(or(not(not(X0)),or(not(or(X1,X0)),X1))))),
% 10.34/1.79 inference(resolution,[status(thm)],[f4575,f4418])).
% 10.34/1.79 fof(f4850,plain,(
% 10.34/1.79 $false),
% 10.34/1.79 inference(backward_subsumption_resolution,[status(thm)],[f2150,f4607])).
% 10.34/1.79 % SZS output end CNFRefutation for theBenchmark.p
% 2.31/1.81 % Elapsed time: 1.433072 seconds
% 2.31/1.81 % CPU time: 11.093069 seconds
% 2.31/1.81 % Total memory used: 199.331 MB
% 2.31/1.81 % Net memory used: 186.715 MB
%------------------------------------------------------------------------------