%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL210-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -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 01:09:36 PM UTC 2026
% Result : Unsatisfiable 42.07s 5.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL210-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n002.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 00:14:01 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 42.07/5.87 % Refutation found
% 42.07/5.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.07/5.87 % SZS output start CNFRefutation for theBenchmark
% 42.07/5.87 fof(f1,axiom,(
% 42.07/5.87 (![A]: (axiom(implies(or(A,A),A)) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f2,axiom,(
% 42.07/5.87 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f3,axiom,(
% 42.07/5.87 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f4,axiom,(
% 42.07/5.87 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f5,axiom,(
% 42.07/5.87 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f6,axiom,(
% 42.07/5.87 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f7,axiom,(
% 42.07/5.87 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f8,axiom,(
% 42.07/5.87 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f9,negated_conjecture,(
% 42.07/5.87 ~ theorem(implies(not(p),implies(or(p,q),q))) ),
% 42.07/5.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.07/5.87 fof(f10,plain,(
% 42.07/5.87 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f1])).
% 42.07/5.87 fof(f11,plain,(
% 42.07/5.87 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f2])).
% 42.07/5.87 fof(f12,plain,(
% 42.07/5.87 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f3])).
% 42.07/5.87 fof(f13,plain,(
% 42.07/5.87 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f4])).
% 42.07/5.87 fof(f14,plain,(
% 42.07/5.87 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f5])).
% 42.07/5.87 fof(f15,plain,(
% 42.07/5.87 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f6])).
% 42.07/5.87 fof(f16,plain,(
% 42.07/5.87 ![X0]: (theorem(X0)|~axiom(X0))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f7])).
% 42.07/5.87 fof(f17,plain,(
% 42.07/5.87 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 42.07/5.87 inference(miniscoping,[status(thm)],[f8])).
% 42.07/5.87 fof(f18,plain,(
% 42.07/5.87 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f17])).
% 42.07/5.87 fof(f19,plain,(
% 42.07/5.87 ~theorem(implies(not(p),implies(or(p,q),q)))),
% 42.07/5.87 inference(cnf_transformation,[status(thm)],[f9])).
% 42.07/5.87 fof(f20,plain,(
% 42.07/5.87 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 42.07/5.87 inference(resolution,[status(thm)],[f10,f16])).
% 42.07/5.87 fof(f22,plain,(
% 42.07/5.87 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 42.07/5.87 inference(resolution,[status(thm)],[f20,f18])).
% 42.07/5.87 fof(f24,plain,(
% 42.07/5.87 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 42.07/5.87 inference(resolution,[status(thm)],[f11,f16])).
% 42.07/5.87 fof(f27,plain,(
% 42.07/5.87 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 42.07/5.87 inference(resolution,[status(thm)],[f24,f18])).
% 42.07/5.87 fof(f29,plain,(
% 42.07/5.87 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 42.07/5.87 inference(resolution,[status(thm)],[f12,f16])).
% 42.07/5.87 fof(f32,plain,(
% 42.07/5.87 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 42.07/5.87 inference(resolution,[status(thm)],[f13,f16])).
% 42.07/5.87 fof(f41,plain,(
% 42.07/5.87 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 42.07/5.87 inference(resolution,[status(thm)],[f14,f16])).
% 42.07/5.87 fof(f51,plain,(
% 42.07/5.87 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 42.07/5.87 inference(resolution,[status(thm)],[f29,f18])).
% 42.07/5.87 fof(f53,plain,(
% 42.07/5.87 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 42.07/5.87 inference(paramodulation,[status(thm)],[f15,f29])).
% 42.07/5.87 fof(f60,plain,(
% 42.07/5.87 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 42.07/5.87 inference(resolution,[status(thm)],[f32,f18])).
% 42.07/5.87 fof(f61,plain,(
% 42.07/5.87 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 42.07/5.87 inference(paramodulation,[status(thm)],[f15,f32])).
% 42.07/5.87 fof(f65,plain,(
% 42.07/5.87 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 42.07/5.87 inference(forward_demodulation,[status(thm)],[f15,f61])).
% 42.07/5.89 fof(f76,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 42.07/5.89 inference(paramodulation,[status(thm)],[f15,f51])).
% 42.07/5.89 fof(f87,plain,(
% 42.07/5.89 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f41,f18])).
% 42.07/5.89 fof(f95,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 42.07/5.89 inference(resolution,[status(thm)],[f53,f18])).
% 42.07/5.89 fof(f99,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 42.07/5.89 inference(paramodulation,[status(thm)],[f15,f76])).
% 42.07/5.89 fof(f102,plain,(
% 42.07/5.89 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,X2)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f60,f27])).
% 42.07/5.89 fof(f103,plain,(
% 42.07/5.89 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 42.07/5.89 inference(paramodulation,[status(thm)],[f15,f60])).
% 42.07/5.89 fof(f105,plain,(
% 42.07/5.89 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 42.07/5.89 inference(forward_demodulation,[status(thm)],[f15,f103])).
% 42.07/5.89 fof(f136,plain,(
% 42.07/5.89 ![X0,X1]: (~theorem(or(or(X0,X1),X1))|theorem(or(X0,X1)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f102,f22])).
% 42.07/5.89 fof(f168,plain,(
% 42.07/5.89 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f87,f18])).
% 42.07/5.89 fof(f194,plain,(
% 42.07/5.89 ![X0,X1,X2]: (~theorem(implies(X0,or(or(X1,implies(X0,X2)),X2)))|theorem(or(X1,implies(X0,X2))))),
% 42.07/5.89 inference(resolution,[status(thm)],[f105,f136])).
% 42.07/5.89 fof(f196,plain,(
% 42.07/5.89 ![X0,X1]: (~theorem(implies(X0,or(implies(X0,X1),X1)))|theorem(implies(X0,X1)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f105,f22])).
% 42.07/5.89 fof(f284,plain,(
% 42.07/5.89 ![X0,X1,X2]: (~theorem(implies(X0,not(X1)))|~theorem(or(X2,X0))|theorem(implies(X1,X2)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f168,f95])).
% 42.07/5.89 fof(f287,plain,(
% 42.07/5.89 ![X0,X1]: (~theorem(implies(X0,X1))|~theorem(or(X1,X0))|theorem(X1))),
% 42.07/5.89 inference(resolution,[status(thm)],[f168,f22])).
% 42.07/5.89 fof(f354,plain,(
% 42.07/5.89 ![X0]: (theorem(implies(X0,X0)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f196,f24])).
% 42.07/5.89 fof(f398,plain,(
% 42.07/5.89 ![X0,X1,X2]: (~theorem(or(X0,X1))|theorem(implies(X2,X0))|~theorem(implies(X2,not(X1))))),
% 42.07/5.89 inference(resolution,[status(thm)],[f284,f99])).
% 42.07/5.89 fof(f582,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(or(X0,implies(X1,X1))))),
% 42.07/5.89 inference(resolution,[status(thm)],[f194,f24])).
% 42.07/5.89 fof(f615,plain,(
% 42.07/5.89 ![X0,X1]: (~theorem(implies(implies(X0,X0),X1))|theorem(X1))),
% 42.07/5.89 inference(resolution,[status(thm)],[f582,f287])).
% 42.07/5.89 fof(f825,plain,(
% 42.07/5.89 ![X0,X1]: (~theorem(or(X0,X1))|theorem(implies(not(X1),X0)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f398,f354])).
% 42.07/5.89 fof(f998,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 42.07/5.89 inference(resolution,[status(thm)],[f615,f65])).
% 42.07/5.89 fof(f1806,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(or(implies(or(X0,X1),X1),X0)))),
% 42.07/5.89 inference(resolution,[status(thm)],[f998,f51])).
% 42.07/5.89 fof(f2790,plain,(
% 42.07/5.89 ![X0,X1]: (theorem(implies(not(X0),implies(or(X0,X1),X1))))),
% 42.07/5.89 inference(resolution,[status(thm)],[f825,f1806])).
% 42.07/5.89 fof(f4100,plain,(
% 42.07/5.89 $false),
% 42.07/5.89 inference(backward_subsumption_resolution,[status(thm)],[f19,f2790])).
% 42.07/5.89 % SZS output end CNFRefutation for theBenchmark.p
% 0.92/5.93 % Elapsed time: 5.435277 seconds
% 0.92/5.93 % CPU time: 42.628454 seconds
% 0.92/5.93 % Total memory used: 313.344 MB
% 0.92/5.93 % Net memory used: 285.481 MB
%------------------------------------------------------------------------------