%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL193-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 7.22s 1.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL193-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:13:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 7.22/1.37 % Refutation found
% 7.22/1.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.22/1.37 % SZS output start CNFRefutation for theBenchmark
% 7.22/1.37 fof(f3,axiom,(
% 7.22/1.37 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 7.22/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.37 fof(f5,axiom,(
% 7.22/1.37 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 7.22/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.37 fof(f6,axiom,(
% 7.22/1.37 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 7.22/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.37 fof(f7,axiom,(
% 7.22/1.37 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 7.22/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.37 fof(f8,axiom,(
% 7.22/1.37 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 7.22/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.37 fof(f9,negated_conjecture,(
% 7.22/1.37 ~ theorem(implies(implies(q,r),implies(or(p,q),or(r,p)))) ),
% 7.22/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.37 fof(f12,plain,(
% 7.22/1.37 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 7.22/1.37 inference(cnf_transformation,[status(thm)],[f3])).
% 7.22/1.37 fof(f14,plain,(
% 7.22/1.37 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 7.22/1.37 inference(cnf_transformation,[status(thm)],[f5])).
% 7.22/1.37 fof(f15,plain,(
% 7.22/1.37 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 7.22/1.37 inference(cnf_transformation,[status(thm)],[f6])).
% 7.22/1.37 fof(f16,plain,(
% 7.22/1.37 ![X0]: (theorem(X0)|~axiom(X0))),
% 7.22/1.37 inference(cnf_transformation,[status(thm)],[f7])).
% 7.22/1.37 fof(f17,plain,(
% 7.22/1.37 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 7.22/1.37 inference(miniscoping,[status(thm)],[f8])).
% 7.22/1.37 fof(f18,plain,(
% 7.22/1.37 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 7.22/1.37 inference(cnf_transformation,[status(thm)],[f17])).
% 7.22/1.37 fof(f19,plain,(
% 7.22/1.37 ~theorem(implies(implies(q,r),implies(or(p,q),or(r,p))))),
% 7.22/1.37 inference(cnf_transformation,[status(thm)],[f9])).
% 7.22/1.37 fof(f46,plain,(
% 7.22/1.37 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 7.22/1.37 inference(resolution,[status(thm)],[f12,f16])).
% 7.22/1.37 fof(f72,plain,(
% 7.22/1.37 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 7.22/1.37 inference(resolution,[status(thm)],[f14,f16])).
% 7.22/1.37 fof(f73,plain,(
% 7.22/1.37 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 7.22/1.37 inference(paramodulation,[status(thm)],[f15,f14])).
% 7.22/1.37 fof(f75,plain,(
% 7.22/1.37 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 7.22/1.37 inference(forward_demodulation,[status(thm)],[f15,f73])).
% 7.22/1.37 fof(f150,plain,(
% 7.22/1.37 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 7.22/1.37 inference(resolution,[status(thm)],[f18,f16])).
% 7.22/1.37 fof(f410,plain,(
% 7.22/1.37 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 7.22/1.37 inference(resolution,[status(thm)],[f75,f150])).
% 7.22/1.37 fof(f840,plain,(
% 7.22/1.37 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 7.22/1.37 inference(resolution,[status(thm)],[f410,f18])).
% 7.22/1.37 fof(f3335,plain,(
% 7.22/1.37 ![X0]: (~theorem(implies(X0,implies(or(p,q),or(r,p))))|~theorem(implies(implies(q,r),X0)))),
% 7.22/1.37 inference(resolution,[status(thm)],[f840,f19])).
% 7.22/1.37 fof(f3365,plain,(
% 7.22/1.37 ![X0]: (~theorem(implies(implies(q,r),implies(or(p,q),X0)))|~theorem(implies(X0,or(r,p))))),
% 7.22/1.37 inference(resolution,[status(thm)],[f3335,f410])).
% 7.22/1.37 fof(f5371,plain,(
% 7.22/1.37 ~theorem(implies(implies(q,r),implies(or(p,q),or(p,r))))),
% 7.22/1.37 inference(resolution,[status(thm)],[f3365,f46])).
% 7.22/1.37 fof(f5387,plain,(
% 7.22/1.37 $false),
% 7.22/1.37 inference(forward_subsumption_resolution,[status(thm)],[f5371,f72])).
% 7.22/1.37 % SZS output end CNFRefutation for theBenchmark.p
% 7.22/1.39 % Elapsed time: 1.022200 seconds
% 7.22/1.39 % CPU time: 7.782241 seconds
% 7.22/1.39 % Total memory used: 168.499 MB
% 7.22/1.39 % Net memory used: 156.853 MB
%------------------------------------------------------------------------------