%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL230-3 : 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 : n006.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 36.70s 5.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL230-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n006.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 00:13:13 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 36.70/5.20 % Refutation found
% 36.70/5.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.70/5.20 % SZS output start CNFRefutation for theBenchmark
% 36.70/5.20 fof(f2,axiom,(
% 36.70/5.20 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f4,axiom,(
% 36.70/5.20 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f5,axiom,(
% 36.70/5.20 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f6,axiom,(
% 36.70/5.20 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f7,axiom,(
% 36.70/5.20 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f8,axiom,(
% 36.70/5.20 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f9,negated_conjecture,(
% 36.70/5.20 ~ theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r)))) ),
% 36.70/5.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.70/5.20 fof(f11,plain,(
% 36.70/5.20 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f2])).
% 36.70/5.20 fof(f13,plain,(
% 36.70/5.20 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f4])).
% 36.70/5.20 fof(f14,plain,(
% 36.70/5.20 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f5])).
% 36.70/5.20 fof(f15,plain,(
% 36.70/5.20 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f6])).
% 36.70/5.20 fof(f16,plain,(
% 36.70/5.20 ![X0]: (theorem(X0)|~axiom(X0))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f7])).
% 36.70/5.20 fof(f17,plain,(
% 36.70/5.20 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 36.70/5.20 inference(miniscoping,[status(thm)],[f8])).
% 36.70/5.20 fof(f18,plain,(
% 36.70/5.20 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f17])).
% 36.70/5.20 fof(f19,plain,(
% 36.70/5.20 ~theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r))))),
% 36.70/5.20 inference(cnf_transformation,[status(thm)],[f9])).
% 36.70/5.20 fof(f22,plain,(
% 36.70/5.20 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 36.70/5.20 inference(resolution,[status(thm)],[f11,f16])).
% 36.70/5.20 fof(f26,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 36.70/5.20 inference(resolution,[status(thm)],[f13,f16])).
% 36.70/5.20 fof(f27,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 36.70/5.20 inference(resolution,[status(thm)],[f14,f16])).
% 36.70/5.20 fof(f29,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 36.70/5.20 inference(resolution,[status(thm)],[f26,f18])).
% 36.70/5.20 fof(f33,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 36.70/5.20 inference(resolution,[status(thm)],[f27,f18])).
% 36.70/5.20 fof(f36,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 36.70/5.20 inference(paramodulation,[status(thm)],[f15,f29])).
% 36.70/5.20 fof(f38,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 36.70/5.20 inference(paramodulation,[status(thm)],[f15,f26])).
% 36.70/5.20 fof(f42,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(not(X2),X0),implies(X2,X1)))))),
% 36.70/5.20 inference(paramodulation,[status(thm)],[f15,f27])).
% 36.70/5.20 fof(f62,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 36.70/5.20 inference(forward_demodulation,[status(thm)],[f15,f36])).
% 36.70/5.20 fof(f64,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 36.70/5.20 inference(forward_demodulation,[status(thm)],[f15,f38])).
% 36.70/5.20 fof(f68,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 36.70/5.20 inference(forward_demodulation,[status(thm)],[f15,f42])).
% 36.70/5.20 fof(f93,plain,(
% 36.70/5.20 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 36.70/5.20 inference(resolution,[status(thm)],[f33,f18])).
% 36.70/5.20 fof(f151,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,or(not(X0),X2))))),
% 36.70/5.20 inference(paramodulation,[status(thm)],[f15,f62])).
% 36.70/5.20 fof(f152,plain,(
% 36.70/5.20 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 36.70/5.22 inference(forward_demodulation,[status(thm)],[f15,f151])).
% 36.70/5.22 fof(f183,plain,(
% 36.70/5.22 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(or(not(X2),X0)))),
% 36.70/5.22 inference(paramodulation,[status(thm)],[f15,f93])).
% 36.70/5.22 fof(f184,plain,(
% 36.70/5.22 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 36.70/5.22 inference(forward_demodulation,[status(thm)],[f15,f183])).
% 36.70/5.22 fof(f311,plain,(
% 36.70/5.22 ![X0,X1,X2]: (~theorem(implies(X0,implies(X1,X2)))|theorem(implies(X0,X2))|~theorem(X1))),
% 36.70/5.22 inference(resolution,[status(thm)],[f152,f18])).
% 36.70/5.22 fof(f418,plain,(
% 36.70/5.22 ![X0]: (~theorem(implies(X0,or(p,implies(q,r))))|~theorem(implies(implies(or(p,q),or(p,r)),X0)))),
% 36.70/5.22 inference(resolution,[status(thm)],[f184,f19])).
% 36.70/5.22 fof(f448,plain,(
% 36.70/5.22 ~theorem(implies(implies(or(p,q),or(p,r)),implies(q,or(p,r))))),
% 36.70/5.22 inference(resolution,[status(thm)],[f418,f64])).
% 36.70/5.22 fof(f780,plain,(
% 36.70/5.22 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X2,X1)))|~theorem(implies(X2,X0)))),
% 36.70/5.22 inference(resolution,[status(thm)],[f311,f68])).
% 36.70/5.22 fof(f6406,plain,(
% 36.70/5.22 ~theorem(implies(q,or(p,q)))),
% 36.70/5.22 inference(resolution,[status(thm)],[f780,f448])).
% 36.70/5.22 fof(f6440,plain,(
% 36.70/5.22 $false),
% 36.70/5.22 inference(forward_subsumption_resolution,[status(thm)],[f6406,f22])).
% 36.70/5.22 % SZS output end CNFRefutation for theBenchmark.p
% 12.83/5.29 % Elapsed time: 4.813411 seconds
% 12.83/5.29 % CPU time: 37.558411 seconds
% 12.83/5.29 % Total memory used: 285.295 MB
% 12.83/5.29 % Net memory used: 261.789 MB
%------------------------------------------------------------------------------