%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL194-3 : 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 : n001.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 01:09:33 PM UTC 2026
% Result : Unsatisfiable 15.08s 2.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL194-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 00:15:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 15.08/2.35 % Refutation found
% 15.08/2.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.08/2.35 % SZS output start CNFRefutation for theBenchmark
% 15.08/2.35 fof(f3,axiom,(
% 15.08/2.35 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f4,axiom,(
% 15.08/2.35 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f5,axiom,(
% 15.08/2.35 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f6,axiom,(
% 15.08/2.35 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f7,axiom,(
% 15.08/2.35 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f8,axiom,(
% 15.08/2.35 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f9,negated_conjecture,(
% 15.08/2.35 ~ theorem(implies(implies(q,r),implies(or(q,p),or(p,r)))) ),
% 15.08/2.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.08/2.35 fof(f12,plain,(
% 15.08/2.35 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f3])).
% 15.08/2.35 fof(f13,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f4])).
% 15.08/2.35 fof(f14,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f5])).
% 15.08/2.35 fof(f15,plain,(
% 15.08/2.35 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f6])).
% 15.08/2.35 fof(f16,plain,(
% 15.08/2.35 ![X0]: (theorem(X0)|~axiom(X0))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f7])).
% 15.08/2.35 fof(f17,plain,(
% 15.08/2.35 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 15.08/2.35 inference(miniscoping,[status(thm)],[f8])).
% 15.08/2.35 fof(f18,plain,(
% 15.08/2.35 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f17])).
% 15.08/2.35 fof(f19,plain,(
% 15.08/2.35 ~theorem(implies(implies(q,r),implies(or(q,p),or(p,r))))),
% 15.08/2.35 inference(cnf_transformation,[status(thm)],[f9])).
% 15.08/2.35 fof(f46,plain,(
% 15.08/2.35 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 15.08/2.35 inference(resolution,[status(thm)],[f12,f16])).
% 15.08/2.35 fof(f64,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 15.08/2.35 inference(paramodulation,[status(thm)],[f15,f13])).
% 15.08/2.35 fof(f68,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 15.08/2.35 inference(forward_demodulation,[status(thm)],[f15,f64])).
% 15.08/2.35 fof(f72,plain,(
% 15.08/2.35 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 15.08/2.35 inference(resolution,[status(thm)],[f14,f16])).
% 15.08/2.35 fof(f73,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 15.08/2.35 inference(paramodulation,[status(thm)],[f15,f14])).
% 15.08/2.35 fof(f75,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 15.08/2.35 inference(forward_demodulation,[status(thm)],[f15,f73])).
% 15.08/2.35 fof(f150,plain,(
% 15.08/2.35 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 15.08/2.35 inference(resolution,[status(thm)],[f18,f16])).
% 15.08/2.35 fof(f152,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 15.08/2.35 inference(paramodulation,[status(thm)],[f15,f68])).
% 15.08/2.35 fof(f154,plain,(
% 15.08/2.35 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 15.08/2.35 inference(forward_demodulation,[status(thm)],[f15,f152])).
% 15.08/2.35 fof(f410,plain,(
% 15.08/2.35 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 15.08/2.35 inference(resolution,[status(thm)],[f75,f150])).
% 15.08/2.35 fof(f560,plain,(
% 15.08/2.35 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 15.08/2.35 inference(resolution,[status(thm)],[f154,f150])).
% 15.08/2.35 fof(f840,plain,(
% 15.08/2.35 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 15.08/2.35 inference(resolution,[status(thm)],[f410,f18])).
% 15.08/2.35 fof(f1530,plain,(
% 15.08/2.35 ![X0,X1,X2,X3]: (theorem(X0)|~axiom(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X0)))),
% 15.08/2.35 inference(resolution,[status(thm)],[f72,f150])).
% 15.08/2.36 fof(f2111,plain,(
% 15.08/2.36 ![X0,X1,X2]: (theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))))),
% 15.08/2.36 inference(resolution,[status(thm)],[f1530,f154])).
% 15.08/2.36 fof(f2819,plain,(
% 15.08/2.36 ~theorem(implies(or(q,p),implies(implies(q,r),or(p,r))))),
% 15.08/2.36 inference(resolution,[status(thm)],[f560,f19])).
% 15.08/2.36 fof(f3332,plain,(
% 15.08/2.36 ![X0]: (~theorem(implies(X0,implies(implies(q,r),or(p,r))))|~theorem(implies(or(q,p),X0)))),
% 15.08/2.36 inference(resolution,[status(thm)],[f840,f2819])).
% 15.08/2.36 fof(f9025,plain,(
% 15.08/2.36 ~theorem(implies(or(q,p),or(p,q)))),
% 15.08/2.36 inference(resolution,[status(thm)],[f3332,f2111])).
% 15.08/2.36 fof(f9048,plain,(
% 15.08/2.36 $false),
% 15.08/2.36 inference(forward_subsumption_resolution,[status(thm)],[f9025,f46])).
% 15.08/2.36 % SZS output end CNFRefutation for theBenchmark.p
% 15.08/2.39 % Elapsed time: 2.010205 seconds
% 15.08/2.39 % CPU time: 15.637296 seconds
% 15.08/2.39 % Total memory used: 228.134 MB
% 15.08/2.39 % Net memory used: 209.456 MB
%------------------------------------------------------------------------------