%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL231-3 : 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 : n018.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 01:09:40 PM UTC 2026
% Result : Unsatisfiable 22.16s 3.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL231-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:15:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 22.16/3.44 % Refutation found
% 22.16/3.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.16/3.44 % SZS output start CNFRefutation for theBenchmark
% 22.16/3.44 fof(f2,axiom,(
% 22.16/3.44 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f4,axiom,(
% 22.16/3.44 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f5,axiom,(
% 22.16/3.44 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f6,axiom,(
% 22.16/3.44 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f7,axiom,(
% 22.16/3.44 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f8,axiom,(
% 22.16/3.44 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f9,negated_conjecture,(
% 22.16/3.44 ~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))) ),
% 22.16/3.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.44 fof(f11,plain,(
% 22.16/3.44 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f2])).
% 22.16/3.44 fof(f13,plain,(
% 22.16/3.44 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f4])).
% 22.16/3.44 fof(f14,plain,(
% 22.16/3.44 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f5])).
% 22.16/3.44 fof(f15,plain,(
% 22.16/3.44 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f6])).
% 22.16/3.44 fof(f16,plain,(
% 22.16/3.44 ![X0]: (theorem(X0)|~axiom(X0))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f7])).
% 22.16/3.44 fof(f17,plain,(
% 22.16/3.44 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 22.16/3.44 inference(miniscoping,[status(thm)],[f8])).
% 22.16/3.44 fof(f18,plain,(
% 22.16/3.44 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f17])).
% 22.16/3.44 fof(f19,plain,(
% 22.16/3.44 ~theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r))))),
% 22.16/3.44 inference(cnf_transformation,[status(thm)],[f9])).
% 22.16/3.44 fof(f22,plain,(
% 22.16/3.44 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 22.16/3.44 inference(resolution,[status(thm)],[f11,f16])).
% 22.16/3.44 fof(f26,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 22.16/3.44 inference(resolution,[status(thm)],[f13,f16])).
% 22.16/3.44 fof(f27,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 22.16/3.44 inference(resolution,[status(thm)],[f14,f16])).
% 22.16/3.44 fof(f29,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 22.16/3.44 inference(resolution,[status(thm)],[f26,f18])).
% 22.16/3.44 fof(f33,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 22.16/3.44 inference(resolution,[status(thm)],[f27,f18])).
% 22.16/3.44 fof(f36,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 22.16/3.44 inference(paramodulation,[status(thm)],[f15,f29])).
% 22.16/3.44 fof(f37,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(or(X0,or(not(X1),X2)),implies(X1,or(X0,X2)))))),
% 22.16/3.44 inference(paramodulation,[status(thm)],[f15,f26])).
% 22.16/3.44 fof(f42,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))))),
% 22.16/3.44 inference(paramodulation,[status(thm)],[f15,f27])).
% 22.16/3.44 fof(f57,plain,(
% 22.16/3.44 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 22.16/3.44 inference(paramodulation,[status(thm)],[f15,f22])).
% 22.16/3.44 fof(f62,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 22.16/3.44 inference(forward_demodulation,[status(thm)],[f15,f36])).
% 22.16/3.44 fof(f63,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))))),
% 22.16/3.44 inference(forward_demodulation,[status(thm)],[f15,f37])).
% 22.16/3.44 fof(f68,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 22.16/3.44 inference(forward_demodulation,[status(thm)],[f15,f42])).
% 22.16/3.44 fof(f92,plain,(
% 22.16/3.44 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 22.16/3.44 inference(resolution,[status(thm)],[f33,f18])).
% 22.16/3.44 fof(f98,plain,(
% 22.16/3.44 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))))),
% 22.16/3.45 inference(paramodulation,[status(thm)],[f15,f63])).
% 22.16/3.45 fof(f100,plain,(
% 22.16/3.45 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 22.16/3.45 inference(forward_demodulation,[status(thm)],[f15,f98])).
% 22.16/3.45 fof(f159,plain,(
% 22.16/3.45 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,or(not(X0),X2))))),
% 22.16/3.45 inference(paramodulation,[status(thm)],[f15,f62])).
% 22.16/3.45 fof(f160,plain,(
% 22.16/3.45 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 22.16/3.45 inference(forward_demodulation,[status(thm)],[f15,f159])).
% 22.16/3.45 fof(f216,plain,(
% 22.16/3.45 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(or(not(X2),X0)))),
% 22.16/3.45 inference(paramodulation,[status(thm)],[f15,f92])).
% 22.16/3.45 fof(f217,plain,(
% 22.16/3.45 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 22.16/3.45 inference(forward_demodulation,[status(thm)],[f15,f216])).
% 22.16/3.45 fof(f354,plain,(
% 22.16/3.45 ![X0,X1,X2]: (~theorem(implies(X0,implies(X1,X2)))|theorem(implies(X0,X2))|~theorem(X1))),
% 22.16/3.45 inference(resolution,[status(thm)],[f160,f18])).
% 22.16/3.45 fof(f462,plain,(
% 22.16/3.45 ![X0]: (~theorem(implies(X0,implies(p,implies(q,r))))|~theorem(implies(implies(implies(p,q),implies(p,r)),X0)))),
% 22.16/3.45 inference(resolution,[status(thm)],[f217,f19])).
% 22.16/3.45 fof(f520,plain,(
% 22.16/3.45 ~theorem(implies(implies(implies(p,q),implies(p,r)),implies(q,implies(p,r))))),
% 22.16/3.45 inference(resolution,[status(thm)],[f462,f100])).
% 22.16/3.45 fof(f763,plain,(
% 22.16/3.45 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X2,X1)))|~theorem(implies(X2,X0)))),
% 22.16/3.45 inference(resolution,[status(thm)],[f354,f68])).
% 22.16/3.45 fof(f5299,plain,(
% 22.16/3.45 ~theorem(implies(q,implies(p,q)))),
% 22.16/3.45 inference(resolution,[status(thm)],[f763,f520])).
% 22.16/3.45 fof(f5328,plain,(
% 22.16/3.45 $false),
% 22.16/3.45 inference(forward_subsumption_resolution,[status(thm)],[f5299,f57])).
% 22.16/3.45 % SZS output end CNFRefutation for theBenchmark.p
% 22.16/3.53 % Elapsed time: 3.147970 seconds
% 22.16/3.53 % CPU time: 24.031427 seconds
% 22.16/3.53 % Total memory used: 196.508 MB
% 22.16/3.53 % Net memory used: 185.141 MB
%------------------------------------------------------------------------------