%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL199-3 : 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 : n003.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 20.59s 3.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL199-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 00:12:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 20.59/3.08 % Refutation found
% 20.59/3.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.59/3.08 % SZS output start CNFRefutation for theBenchmark
% 20.59/3.08 fof(f1,axiom,(
% 20.59/3.08 (![A]: (axiom(implies(or(A,A),A)) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f2,axiom,(
% 20.59/3.08 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f3,axiom,(
% 20.59/3.08 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f4,axiom,(
% 20.59/3.08 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f5,axiom,(
% 20.59/3.08 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f6,axiom,(
% 20.59/3.08 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f7,axiom,(
% 20.59/3.08 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f8,axiom,(
% 20.59/3.08 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f9,negated_conjecture,(
% 20.59/3.08 ~ theorem(implies(not(or(p,q)),not(p))) ),
% 20.59/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.08 fof(f10,plain,(
% 20.59/3.08 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f1])).
% 20.59/3.08 fof(f11,plain,(
% 20.59/3.08 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f2])).
% 20.59/3.08 fof(f12,plain,(
% 20.59/3.08 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f3])).
% 20.59/3.08 fof(f13,plain,(
% 20.59/3.08 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f4])).
% 20.59/3.08 fof(f14,plain,(
% 20.59/3.08 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f5])).
% 20.59/3.08 fof(f15,plain,(
% 20.59/3.08 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f6])).
% 20.59/3.08 fof(f16,plain,(
% 20.59/3.08 ![X0]: (theorem(X0)|~axiom(X0))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f7])).
% 20.59/3.08 fof(f17,plain,(
% 20.59/3.08 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 20.59/3.08 inference(miniscoping,[status(thm)],[f8])).
% 20.59/3.08 fof(f18,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f17])).
% 20.59/3.08 fof(f19,plain,(
% 20.59/3.08 ~theorem(implies(not(or(p,q)),not(p)))),
% 20.59/3.08 inference(cnf_transformation,[status(thm)],[f9])).
% 20.59/3.08 fof(f20,plain,(
% 20.59/3.08 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f10,f16])).
% 20.59/3.08 fof(f22,plain,(
% 20.59/3.08 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f20,f18])).
% 20.59/3.08 fof(f27,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f11,f16])).
% 20.59/3.08 fof(f29,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 20.59/3.08 inference(resolution,[status(thm)],[f27,f18])).
% 20.59/3.08 fof(f50,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f12,f16])).
% 20.59/3.08 fof(f73,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f50,f18])).
% 20.59/3.08 fof(f77,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f50])).
% 20.59/3.08 fof(f82,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f73])).
% 20.59/3.08 fof(f105,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f13,f16])).
% 20.59/3.08 fof(f114,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f14,f16])).
% 20.59/3.08 fof(f119,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f105,f18])).
% 20.59/3.08 fof(f130,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f77,f18])).
% 20.59/3.08 fof(f144,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f82,f27])).
% 20.59/3.08 fof(f160,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f144,f29])).
% 20.59/3.08 fof(f201,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f130])).
% 20.59/3.08 fof(f369,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f114,f18])).
% 20.59/3.08 fof(f373,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f114])).
% 20.59/3.08 fof(f375,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 20.59/3.08 inference(forward_demodulation,[status(thm)],[f15,f373])).
% 20.59/3.08 fof(f528,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f119,f160])).
% 20.59/3.08 fof(f537,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f119])).
% 20.59/3.08 fof(f538,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f119])).
% 20.59/3.08 fof(f539,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 20.59/3.08 inference(forward_demodulation,[status(thm)],[f15,f537])).
% 20.59/3.08 fof(f540,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 20.59/3.08 inference(forward_demodulation,[status(thm)],[f15,f538])).
% 20.59/3.08 fof(f560,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f528,f73])).
% 20.59/3.08 fof(f582,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f560,f119])).
% 20.59/3.08 fof(f622,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f582,f22])).
% 20.59/3.08 fof(f630,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f622,f73])).
% 20.59/3.08 fof(f635,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f630,f119])).
% 20.59/3.08 fof(f650,plain,(
% 20.59/3.08 ![X0]: (theorem(or(X0,not(X0))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f635,f22])).
% 20.59/3.08 fof(f656,plain,(
% 20.59/3.08 ![X0]: (theorem(implies(X0,X0)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f650,f130])).
% 20.59/3.08 fof(f661,plain,(
% 20.59/3.08 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f650])).
% 20.59/3.08 fof(f934,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f369,f77])).
% 20.59/3.08 fof(f1250,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f375,f18])).
% 20.59/3.08 fof(f1539,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f539,f656])).
% 20.59/3.08 fof(f1558,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(X0,implies(or(not(X0),X1),X1))))),
% 20.59/3.08 inference(paramodulation,[status(thm)],[f15,f1539])).
% 20.59/3.08 fof(f1560,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 20.59/3.08 inference(forward_demodulation,[status(thm)],[f15,f1558])).
% 20.59/3.08 fof(f1585,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(implies(X0,X1),X1))|~theorem(X0))),
% 20.59/3.08 inference(resolution,[status(thm)],[f1560,f18])).
% 20.59/3.08 fof(f4062,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(or(X0,or(X2,not(X1)))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f934,f18])).
% 20.59/3.08 fof(f4455,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f1250,f661])).
% 20.59/3.08 fof(f40596,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(or(X0,implies(X0,X1))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f4062,f630])).
% 20.59/3.08 fof(f40674,plain,(
% 20.59/3.08 ![X0,X1]: (theorem(implies(X0,or(X0,X1))))),
% 20.59/3.08 inference(resolution,[status(thm)],[f40596,f540])).
% 20.59/3.08 fof(f40780,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(implies(implies(implies(X0,or(X0,X1)),X2),X2)))),
% 20.59/3.08 inference(resolution,[status(thm)],[f40674,f1585])).
% 20.59/3.08 fof(f57525,plain,(
% 20.59/3.08 ![X0,X1,X2]: (theorem(X0)|~theorem(implies(implies(X1,or(X1,X2)),X0)))),
% 2.87/3.11 inference(resolution,[status(thm)],[f40780,f18])).
% 2.87/3.11 fof(f77851,plain,(
% 2.87/3.11 ![X0,X1]: (theorem(implies(X0,not(not(or(X0,X1))))))),
% 2.87/3.11 inference(resolution,[status(thm)],[f57525,f4455])).
% 2.87/3.11 fof(f78094,plain,(
% 2.87/3.11 ![X0,X1]: (theorem(implies(not(or(X0,X1)),not(X0))))),
% 2.87/3.11 inference(resolution,[status(thm)],[f77851,f201])).
% 2.87/3.11 fof(f78152,plain,(
% 2.87/3.11 $false),
% 2.87/3.11 inference(backward_subsumption_resolution,[status(thm)],[f19,f78094])).
% 2.87/3.11 % SZS output end CNFRefutation for theBenchmark.p
% 2.87/3.12 % Elapsed time: 2.744698 seconds
% 2.87/3.12 % CPU time: 21.436495 seconds
% 2.87/3.12 % Total memory used: 285.568 MB
% 2.87/3.12 % Net memory used: 261.712 MB
%------------------------------------------------------------------------------