%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL198-3 : 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 : n017.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 27.07s 4.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL198-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 00:05:56 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 27.07/4.01 % Refutation found
% 27.07/4.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.07/4.01 % SZS output start CNFRefutation for theBenchmark
% 27.07/4.01 fof(f1,axiom,(
% 27.07/4.01 (![A]: (axiom(implies(or(A,A),A)) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f2,axiom,(
% 27.07/4.01 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f3,axiom,(
% 27.07/4.01 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f4,axiom,(
% 27.07/4.01 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f5,axiom,(
% 27.07/4.01 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f6,axiom,(
% 27.07/4.01 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f7,axiom,(
% 27.07/4.01 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f8,axiom,(
% 27.07/4.01 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f9,negated_conjecture,(
% 27.07/4.01 ~ theorem(implies(or(not(p),implies(p,q)),implies(p,q))) ),
% 27.07/4.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.07/4.01 fof(f10,plain,(
% 27.07/4.01 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f1])).
% 27.07/4.01 fof(f11,plain,(
% 27.07/4.01 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f2])).
% 27.07/4.01 fof(f12,plain,(
% 27.07/4.01 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f3])).
% 27.07/4.01 fof(f13,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f4])).
% 27.07/4.01 fof(f14,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f5])).
% 27.07/4.01 fof(f15,plain,(
% 27.07/4.01 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f6])).
% 27.07/4.01 fof(f16,plain,(
% 27.07/4.01 ![X0]: (theorem(X0)|~axiom(X0))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f7])).
% 27.07/4.01 fof(f17,plain,(
% 27.07/4.01 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 27.07/4.01 inference(miniscoping,[status(thm)],[f8])).
% 27.07/4.01 fof(f18,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f17])).
% 27.07/4.01 fof(f19,plain,(
% 27.07/4.01 ~theorem(implies(or(not(p),implies(p,q)),implies(p,q)))),
% 27.07/4.01 inference(cnf_transformation,[status(thm)],[f9])).
% 27.07/4.01 fof(f20,plain,(
% 27.07/4.01 ~theorem(implies(implies(p,implies(p,q)),implies(p,q)))),
% 27.07/4.01 inference(backward_demodulation,[status(thm)],[f15,f19])).
% 27.07/4.01 fof(f21,plain,(
% 27.07/4.01 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f10,f16])).
% 27.07/4.01 fof(f23,plain,(
% 27.07/4.01 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f21,f18])).
% 27.07/4.01 fof(f28,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f11,f16])).
% 27.07/4.01 fof(f30,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 27.07/4.01 inference(resolution,[status(thm)],[f28,f18])).
% 27.07/4.01 fof(f42,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f12,f16])).
% 27.07/4.01 fof(f88,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f13])).
% 27.07/4.01 fof(f89,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f13])).
% 27.07/4.01 fof(f92,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 27.07/4.01 inference(forward_demodulation,[status(thm)],[f15,f88])).
% 27.07/4.01 fof(f93,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))))),
% 27.07/4.01 inference(forward_demodulation,[status(thm)],[f15,f89])).
% 27.07/4.01 fof(f96,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f14])).
% 27.07/4.01 fof(f98,plain,(
% 27.07/4.01 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 27.07/4.01 inference(forward_demodulation,[status(thm)],[f15,f96])).
% 27.07/4.01 fof(f101,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f16,f14])).
% 27.07/4.01 fof(f102,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f16,f13])).
% 27.07/4.01 fof(f109,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f42,f18])).
% 27.07/4.01 fof(f111,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f42])).
% 27.07/4.01 fof(f159,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f92,f16])).
% 27.07/4.01 fof(f164,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f93,f16])).
% 27.07/4.01 fof(f172,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f109])).
% 27.07/4.01 fof(f187,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f98,f16])).
% 27.07/4.01 fof(f195,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f111,f18])).
% 27.07/4.01 fof(f204,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f172,f28])).
% 27.07/4.01 fof(f219,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f101,f18])).
% 27.07/4.01 fof(f227,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f102,f18])).
% 27.07/4.01 fof(f240,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f204,f30])).
% 27.07/4.01 fof(f314,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f159,f18])).
% 27.07/4.01 fof(f379,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f164,f18])).
% 27.07/4.01 fof(f486,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f187,f18])).
% 27.07/4.01 fof(f492,plain,(
% 27.07/4.01 ![X0,X1,X2,X3]: (theorem(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2))))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f219,f187])).
% 27.07/4.01 fof(f548,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f227,f240])).
% 27.07/4.01 fof(f553,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f227])).
% 27.07/4.01 fof(f555,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 27.07/4.01 inference(forward_demodulation,[status(thm)],[f15,f553])).
% 27.07/4.01 fof(f564,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f548,f109])).
% 27.07/4.01 fof(f589,plain,(
% 27.07/4.01 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f564,f227])).
% 27.07/4.01 fof(f624,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f589,f23])).
% 27.07/4.01 fof(f632,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f624,f109])).
% 27.07/4.01 fof(f637,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f632,f227])).
% 27.07/4.01 fof(f652,plain,(
% 27.07/4.01 ![X0]: (theorem(or(X0,not(X0))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f637,f23])).
% 27.07/4.01 fof(f658,plain,(
% 27.07/4.01 ![X0]: (theorem(implies(X0,X0)))),
% 27.07/4.01 inference(resolution,[status(thm)],[f652,f195])).
% 27.07/4.01 fof(f1014,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 27.07/4.01 inference(resolution,[status(thm)],[f314,f658])).
% 27.07/4.01 fof(f1040,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(implies(X0,implies(or(not(X0),X1),X1))))),
% 27.07/4.01 inference(paramodulation,[status(thm)],[f15,f1014])).
% 27.07/4.01 fof(f1042,plain,(
% 27.07/4.01 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 22.78/4.07 inference(forward_demodulation,[status(thm)],[f15,f1040])).
% 22.78/4.07 fof(f1063,plain,(
% 22.78/4.07 ![X0,X1]: (theorem(implies(implies(X0,X1),X1))|~theorem(X0))),
% 22.78/4.07 inference(resolution,[status(thm)],[f1042,f18])).
% 22.78/4.07 fof(f1157,plain,(
% 22.78/4.07 ![X0,X1,X2]: (theorem(implies(implies(implies(X0,or(X1,X0)),X2),X2)))),
% 22.78/4.07 inference(resolution,[status(thm)],[f1063,f28])).
% 22.78/4.07 fof(f2477,plain,(
% 22.78/4.07 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f486,f42])).
% 22.78/4.07 fof(f2478,plain,(
% 22.78/4.07 ![X0,X1]: (theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f486,f21])).
% 22.78/4.07 fof(f2567,plain,(
% 22.78/4.07 ![X0,X1,X2,X3]: (theorem(or(X0,implies(implies(X1,X2),implies(X1,X3))))|~theorem(or(X0,implies(X2,X3))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f492,f18])).
% 22.78/4.07 fof(f6127,plain,(
% 22.78/4.07 ![X0,X1,X2]: (theorem(X0)|~theorem(implies(implies(X1,or(X2,X1)),X0)))),
% 22.78/4.07 inference(resolution,[status(thm)],[f1157,f18])).
% 22.78/4.07 fof(f7053,plain,(
% 22.78/4.07 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(implies(X0,or(X1,X1))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f2478,f18])).
% 22.78/4.07 fof(f10005,plain,(
% 22.78/4.07 ![X0,X1]: (theorem(implies(X0,or(X0,X1))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f2477,f6127])).
% 22.78/4.07 fof(f10057,plain,(
% 22.78/4.07 ![X0,X1]: (theorem(or(X0,implies(X0,X1))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f10005,f555])).
% 22.78/4.07 fof(f14661,plain,(
% 22.78/4.07 ![X0,X1,X2]: (theorem(or(X0,implies(implies(X1,X0),implies(X1,X2)))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f2567,f10057])).
% 22.78/4.07 fof(f31558,plain,(
% 22.78/4.07 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),or(X1,implies(X0,X2)))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f14661,f379])).
% 22.78/4.07 fof(f48089,plain,(
% 22.78/4.07 ![X0,X1]: (theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))),
% 22.78/4.07 inference(resolution,[status(thm)],[f31558,f7053])).
% 22.78/4.07 fof(f65548,plain,(
% 22.78/4.07 $false),
% 22.78/4.07 inference(backward_subsumption_resolution,[status(thm)],[f20,f48089])).
% 22.78/4.07 % SZS output end CNFRefutation for theBenchmark.p
% 22.78/4.08 % Elapsed time: 3.629987 seconds
% 22.78/4.08 % CPU time: 28.193748 seconds
% 22.78/4.08 % Total memory used: 267.684 MB
% 22.78/4.08 % Net memory used: 246.246 MB
%------------------------------------------------------------------------------