%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL196-3 : 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 01:09:34 PM UTC 2026
% Result : Unsatisfiable 18.15s 2.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL196-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 00:13:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 18.15/2.76 % Refutation found
% 18.15/2.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.15/2.76 % SZS output start CNFRefutation for theBenchmark
% 18.15/2.76 fof(f1,axiom,(
% 18.15/2.76 (![A]: (axiom(implies(or(A,A),A)) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f2,axiom,(
% 18.15/2.76 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f3,axiom,(
% 18.15/2.76 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f4,axiom,(
% 18.15/2.76 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f5,axiom,(
% 18.15/2.76 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f6,axiom,(
% 18.15/2.76 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f7,axiom,(
% 18.15/2.76 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f8,axiom,(
% 18.15/2.76 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f9,negated_conjecture,(
% 18.15/2.76 ~ theorem(implies(or(p,or(p,q)),or(p,q))) ),
% 18.15/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.15/2.76 fof(f10,plain,(
% 18.15/2.76 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f1])).
% 18.15/2.76 fof(f11,plain,(
% 18.15/2.76 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f2])).
% 18.15/2.76 fof(f12,plain,(
% 18.15/2.76 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f3])).
% 18.15/2.76 fof(f13,plain,(
% 18.15/2.76 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f4])).
% 18.15/2.76 fof(f14,plain,(
% 18.15/2.76 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f5])).
% 18.15/2.76 fof(f15,plain,(
% 18.15/2.76 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f6])).
% 18.15/2.76 fof(f16,plain,(
% 18.15/2.76 ![X0]: (theorem(X0)|~axiom(X0))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f7])).
% 18.15/2.76 fof(f17,plain,(
% 18.15/2.76 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 18.15/2.76 inference(miniscoping,[status(thm)],[f8])).
% 18.15/2.76 fof(f18,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f17])).
% 18.15/2.76 fof(f19,plain,(
% 18.15/2.76 ~theorem(implies(or(p,or(p,q)),or(p,q)))),
% 18.15/2.76 inference(cnf_transformation,[status(thm)],[f9])).
% 18.15/2.76 fof(f20,plain,(
% 18.15/2.76 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f10,f16])).
% 18.15/2.76 fof(f21,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f11,f16])).
% 18.15/2.76 fof(f22,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f12,f16])).
% 18.15/2.76 fof(f25,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 18.15/2.76 inference(paramodulation,[status(thm)],[f15,f21])).
% 18.15/2.76 fof(f30,plain,(
% 18.15/2.76 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f18,f20])).
% 18.15/2.76 fof(f31,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 18.15/2.76 inference(resolution,[status(thm)],[f18,f25])).
% 18.15/2.76 fof(f32,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 18.15/2.76 inference(resolution,[status(thm)],[f18,f21])).
% 18.15/2.76 fof(f34,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f13,f16])).
% 18.15/2.76 fof(f49,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f22,f18])).
% 18.15/2.76 fof(f53,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 18.15/2.76 inference(paramodulation,[status(thm)],[f15,f22])).
% 18.15/2.76 fof(f72,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f14,f16])).
% 18.15/2.76 fof(f130,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 18.15/2.76 inference(paramodulation,[status(thm)],[f15,f49])).
% 18.15/2.76 fof(f148,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f34,f18])).
% 18.15/2.76 fof(f190,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f53,f18])).
% 18.15/2.76 fof(f200,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f130,f21])).
% 18.15/2.76 fof(f216,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f200,f32])).
% 18.15/2.76 fof(f250,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f72,f18])).
% 18.15/2.76 fof(f483,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f148,f216])).
% 18.15/2.76 fof(f488,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 18.15/2.76 inference(paramodulation,[status(thm)],[f15,f148])).
% 18.15/2.76 fof(f489,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 18.15/2.76 inference(paramodulation,[status(thm)],[f15,f148])).
% 18.15/2.76 fof(f490,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 18.15/2.76 inference(forward_demodulation,[status(thm)],[f15,f488])).
% 18.15/2.76 fof(f491,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 18.15/2.76 inference(forward_demodulation,[status(thm)],[f15,f489])).
% 18.15/2.76 fof(f499,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f483,f49])).
% 18.15/2.76 fof(f533,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f499,f148])).
% 18.15/2.76 fof(f577,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f533,f30])).
% 18.15/2.76 fof(f585,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f577,f49])).
% 18.15/2.76 fof(f590,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f585,f148])).
% 18.15/2.76 fof(f605,plain,(
% 18.15/2.76 ![X0]: (theorem(or(X0,not(X0))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f590,f30])).
% 18.15/2.76 fof(f611,plain,(
% 18.15/2.76 ![X0]: (theorem(implies(X0,X0)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f605,f190])).
% 18.15/2.76 fof(f891,plain,(
% 18.15/2.76 ![X0,X1,X2,X3]: (theorem(implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2))))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f250,f72])).
% 18.15/2.76 fof(f894,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f250,f53])).
% 18.15/2.76 fof(f897,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(or(X0,or(X1,X1)),or(X0,X1))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f250,f20])).
% 18.15/2.76 fof(f2152,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f490,f611])).
% 18.15/2.76 fof(f2164,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(implies(or(X0,X1),X1),X0)))),
% 18.15/2.76 inference(resolution,[status(thm)],[f2152,f49])).
% 18.15/2.76 fof(f2193,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(X0,or(implies(or(X1,X2),X2),X1))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f2164,f31])).
% 18.15/2.76 fof(f3316,plain,(
% 18.15/2.76 ![X0,X1,X2,X3]: (theorem(or(X0,implies(or(X1,X2),or(X1,X3))))|~theorem(or(X0,implies(X2,X3))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f891,f18])).
% 18.15/2.76 fof(f3441,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(or(X0,or(X2,not(X1)))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f894,f18])).
% 18.15/2.76 fof(f3678,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X0,or(X1,X1))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f897,f18])).
% 18.15/2.76 fof(f5454,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(implies(or(X0,X1),X1),implies(X2,X0))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f2193,f490])).
% 18.15/2.76 fof(f6133,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(or(not(X0),X1))|~theorem(implies(X0,or(X1,X1))))),
% 18.15/2.76 inference(paramodulation,[status(thm)],[f15,f3678])).
% 18.15/2.76 fof(f6135,plain,(
% 18.15/2.76 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(implies(X0,or(X1,X1))))),
% 18.15/2.76 inference(forward_demodulation,[status(thm)],[f15,f6133])).
% 18.15/2.76 fof(f7334,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(or(implies(X0,X1),implies(or(X1,X2),X2))))),
% 18.15/2.76 inference(resolution,[status(thm)],[f5454,f49])).
% 18.15/2.76 fof(f9581,plain,(
% 18.15/2.76 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(implies(X2,X0),X1))))),
% 18.15/2.79 inference(resolution,[status(thm)],[f7334,f491])).
% 18.15/2.79 fof(f14487,plain,(
% 18.15/2.79 ![X0,X1]: (theorem(implies(or(X0,implies(X1,X0)),implies(X1,X0))))),
% 18.15/2.79 inference(resolution,[status(thm)],[f9581,f6135])).
% 18.15/2.79 fof(f18071,plain,(
% 18.15/2.79 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,implies(X0,X1))))),
% 18.15/2.79 inference(resolution,[status(thm)],[f14487,f18])).
% 18.15/2.79 fof(f35781,plain,(
% 18.15/2.79 ![X0,X1]: (theorem(or(X0,implies(X0,X1))))),
% 18.15/2.79 inference(resolution,[status(thm)],[f3441,f585])).
% 18.15/2.79 fof(f35793,plain,(
% 18.15/2.79 ![X0,X1,X2]: (theorem(or(X0,implies(or(X1,X0),or(X1,X2)))))),
% 18.15/2.79 inference(resolution,[status(thm)],[f35781,f3316])).
% 18.15/2.79 fof(f50242,plain,(
% 18.15/2.79 ![X0,X1]: (theorem(implies(or(X0,or(X0,X1)),or(X0,X1))))),
% 18.15/2.79 inference(resolution,[status(thm)],[f35793,f18071])).
% 18.15/2.79 fof(f64723,plain,(
% 18.15/2.79 $false),
% 18.15/2.79 inference(backward_subsumption_resolution,[status(thm)],[f19,f50242])).
% 18.15/2.79 % SZS output end CNFRefutation for theBenchmark.p
% 18.15/2.80 % Elapsed time: 2.415571 seconds
% 18.15/2.80 % CPU time: 18.802446 seconds
% 18.15/2.80 % Total memory used: 275.395 MB
% 18.15/2.80 % Net memory used: 250.488 MB
%------------------------------------------------------------------------------