%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL180-3 : 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 01:09:30 PM UTC 2026
% Result : Unsatisfiable 9.94s 1.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL180-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n017.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % 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 00:04:26 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 9.94/1.91 % Refutation found
% 9.94/1.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.94/1.91 % SZS output start CNFRefutation for theBenchmark
% 9.94/1.91 fof(f1,axiom,(
% 9.94/1.91 (![A]: (axiom(implies(or(A,A),A)) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f2,axiom,(
% 9.94/1.91 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f3,axiom,(
% 9.94/1.91 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f4,axiom,(
% 9.94/1.91 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f5,axiom,(
% 9.94/1.91 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f6,axiom,(
% 9.94/1.91 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f7,axiom,(
% 9.94/1.91 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f8,axiom,(
% 9.94/1.91 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f9,negated_conjecture,(
% 9.94/1.91 ~ theorem(implies(not(not(p)),p)) ),
% 9.94/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.94/1.91 fof(f10,plain,(
% 9.94/1.91 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f1])).
% 9.94/1.91 fof(f11,plain,(
% 9.94/1.91 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f2])).
% 9.94/1.91 fof(f12,plain,(
% 9.94/1.91 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f3])).
% 9.94/1.91 fof(f13,plain,(
% 9.94/1.91 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f4])).
% 9.94/1.91 fof(f14,plain,(
% 9.94/1.91 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f5])).
% 9.94/1.91 fof(f15,plain,(
% 9.94/1.91 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f6])).
% 9.94/1.91 fof(f16,plain,(
% 9.94/1.91 ![X0]: (theorem(X0)|~axiom(X0))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f7])).
% 9.94/1.91 fof(f17,plain,(
% 9.94/1.91 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 9.94/1.91 inference(miniscoping,[status(thm)],[f8])).
% 9.94/1.91 fof(f18,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f17])).
% 9.94/1.91 fof(f19,plain,(
% 9.94/1.91 ~theorem(implies(not(not(p)),p))),
% 9.94/1.91 inference(cnf_transformation,[status(thm)],[f9])).
% 9.94/1.91 fof(f20,plain,(
% 9.94/1.91 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 9.94/1.91 inference(resolution,[status(thm)],[f10,f16])).
% 9.94/1.91 fof(f22,plain,(
% 9.94/1.91 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 9.94/1.91 inference(resolution,[status(thm)],[f20,f18])).
% 9.94/1.91 fof(f27,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 9.94/1.91 inference(resolution,[status(thm)],[f11,f16])).
% 9.94/1.91 fof(f29,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 9.94/1.91 inference(resolution,[status(thm)],[f27,f18])).
% 9.94/1.91 fof(f50,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 9.94/1.91 inference(resolution,[status(thm)],[f12,f16])).
% 9.94/1.91 fof(f73,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 9.94/1.91 inference(resolution,[status(thm)],[f50,f18])).
% 9.94/1.91 fof(f77,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 9.94/1.91 inference(paramodulation,[status(thm)],[f15,f50])).
% 9.94/1.91 fof(f82,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 9.94/1.91 inference(paramodulation,[status(thm)],[f15,f73])).
% 9.94/1.91 fof(f105,plain,(
% 9.94/1.91 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 9.94/1.91 inference(resolution,[status(thm)],[f13,f16])).
% 9.94/1.91 fof(f114,plain,(
% 9.94/1.91 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 9.94/1.91 inference(resolution,[status(thm)],[f14,f16])).
% 9.94/1.91 fof(f119,plain,(
% 9.94/1.91 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 9.94/1.91 inference(resolution,[status(thm)],[f105,f18])).
% 9.94/1.91 fof(f130,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 9.94/1.91 inference(resolution,[status(thm)],[f77,f18])).
% 9.94/1.91 fof(f144,plain,(
% 9.94/1.91 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f82,f27])).
% 9.94/1.94 fof(f160,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f144,f29])).
% 9.94/1.94 fof(f369,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 9.94/1.94 inference(resolution,[status(thm)],[f114,f18])).
% 9.94/1.94 fof(f528,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f119,f160])).
% 9.94/1.94 fof(f537,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 9.94/1.94 inference(paramodulation,[status(thm)],[f15,f119])).
% 9.94/1.94 fof(f539,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 9.94/1.94 inference(forward_demodulation,[status(thm)],[f15,f537])).
% 9.94/1.94 fof(f560,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f528,f73])).
% 9.94/1.94 fof(f582,plain,(
% 9.94/1.94 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f560,f119])).
% 9.94/1.94 fof(f622,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 9.94/1.94 inference(resolution,[status(thm)],[f582,f22])).
% 9.94/1.94 fof(f630,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f622,f73])).
% 9.94/1.94 fof(f635,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f630,f119])).
% 9.94/1.94 fof(f650,plain,(
% 9.94/1.94 ![X0]: (theorem(or(X0,not(X0))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f635,f22])).
% 9.94/1.94 fof(f656,plain,(
% 9.94/1.94 ![X0]: (theorem(implies(X0,X0)))),
% 9.94/1.94 inference(resolution,[status(thm)],[f650,f130])).
% 9.94/1.94 fof(f661,plain,(
% 9.94/1.94 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 9.94/1.94 inference(paramodulation,[status(thm)],[f15,f650])).
% 9.94/1.94 fof(f938,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(implies(or(X0,X1),or(X0,not(not(X1))))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f369,f661])).
% 9.94/1.94 fof(f1539,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f539,f656])).
% 9.94/1.94 fof(f1558,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(implies(X0,implies(or(not(X0),X1),X1))))),
% 9.94/1.94 inference(paramodulation,[status(thm)],[f15,f1539])).
% 9.94/1.94 fof(f1560,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 9.94/1.94 inference(forward_demodulation,[status(thm)],[f15,f1558])).
% 9.94/1.94 fof(f1585,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(implies(implies(X0,X1),X1))|~theorem(X0))),
% 9.94/1.94 inference(resolution,[status(thm)],[f1560,f18])).
% 9.94/1.94 fof(f1724,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(implies(implies(or(X0,not(X0)),X1),X1)))),
% 9.94/1.94 inference(resolution,[status(thm)],[f1585,f650])).
% 9.94/1.94 fof(f2968,plain,(
% 9.94/1.94 ![X0,X1]: (theorem(X0)|~theorem(implies(or(X1,not(X1)),X0)))),
% 9.94/1.94 inference(resolution,[status(thm)],[f1724,f18])).
% 9.94/1.94 fof(f21355,plain,(
% 9.94/1.94 ![X0]: (theorem(or(X0,not(not(not(X0))))))),
% 9.94/1.94 inference(resolution,[status(thm)],[f938,f2968])).
% 9.94/1.94 fof(f21397,plain,(
% 9.94/1.94 ![X0]: (theorem(implies(not(not(X0)),X0)))),
% 9.94/1.94 inference(resolution,[status(thm)],[f21355,f130])).
% 9.94/1.94 fof(f21439,plain,(
% 9.94/1.94 $false),
% 9.94/1.94 inference(backward_subsumption_resolution,[status(thm)],[f19,f21397])).
% 9.94/1.94 % SZS output end CNFRefutation for theBenchmark.p
% 9.94/1.96 % Elapsed time: 1.514748 seconds
% 9.94/1.96 % CPU time: 11.555027 seconds
% 9.94/1.96 % Total memory used: 161.925 MB
% 9.94/1.96 % Net memory used: 152.954 MB
%------------------------------------------------------------------------------