%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL191-3 : 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 : 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 162.31s 21.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL191-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 00:15:43 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 162.31/21.03 % Refutation found
% 162.31/21.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 162.31/21.03 % SZS output start CNFRefutation for theBenchmark
% 162.31/21.03 fof(f3,axiom,(
% 162.31/21.03 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f4,axiom,(
% 162.31/21.03 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f5,axiom,(
% 162.31/21.03 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f6,axiom,(
% 162.31/21.03 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f7,axiom,(
% 162.31/21.03 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f8,axiom,(
% 162.31/21.03 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f9,negated_conjecture,(
% 162.31/21.03 ~ theorem(implies(or(p,or(q,r)),or(or(p,q),r))) ),
% 162.31/21.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 162.31/21.03 fof(f12,plain,(
% 162.31/21.03 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f3])).
% 162.31/21.03 fof(f13,plain,(
% 162.31/21.03 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f4])).
% 162.31/21.03 fof(f14,plain,(
% 162.31/21.03 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f5])).
% 162.31/21.03 fof(f15,plain,(
% 162.31/21.03 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f6])).
% 162.31/21.03 fof(f16,plain,(
% 162.31/21.03 ![X0]: (theorem(X0)|~axiom(X0))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f7])).
% 162.31/21.03 fof(f17,plain,(
% 162.31/21.03 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 162.31/21.03 inference(miniscoping,[status(thm)],[f8])).
% 162.31/21.03 fof(f18,plain,(
% 162.31/21.03 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f17])).
% 162.31/21.03 fof(f19,plain,(
% 162.31/21.03 ~theorem(implies(or(p,or(q,r)),or(or(p,q),r)))),
% 162.31/21.03 inference(cnf_transformation,[status(thm)],[f9])).
% 162.31/21.03 fof(f32,plain,(
% 162.31/21.03 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 162.31/21.03 inference(resolution,[status(thm)],[f12,f16])).
% 162.31/21.03 fof(f35,plain,(
% 162.31/21.03 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 162.31/21.03 inference(resolution,[status(thm)],[f13,f16])).
% 162.31/21.03 fof(f44,plain,(
% 162.31/21.03 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 162.31/21.03 inference(resolution,[status(thm)],[f14,f16])).
% 162.31/21.03 fof(f45,plain,(
% 162.31/21.03 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 162.31/21.03 inference(paramodulation,[status(thm)],[f15,f14])).
% 162.31/21.03 fof(f47,plain,(
% 162.31/21.03 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 162.31/21.03 inference(forward_demodulation,[status(thm)],[f15,f45])).
% 162.31/21.03 fof(f65,plain,(
% 162.31/21.03 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 162.31/21.03 inference(paramodulation,[status(thm)],[f15,f44])).
% 162.31/21.03 fof(f67,plain,(
% 162.31/21.03 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 162.31/21.03 inference(forward_demodulation,[status(thm)],[f15,f65])).
% 162.31/21.03 fof(f100,plain,(
% 162.31/21.03 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 162.31/21.03 inference(resolution,[status(thm)],[f67,f18])).
% 162.31/21.03 fof(f173,plain,(
% 162.31/21.03 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 162.31/21.03 inference(resolution,[status(thm)],[f100,f18])).
% 162.31/21.03 fof(f649,plain,(
% 162.31/21.03 ![X0]: (~theorem(implies(X0,or(or(p,q),r)))|~theorem(implies(or(p,or(q,r)),X0)))),
% 162.31/21.03 inference(resolution,[status(thm)],[f173,f19])).
% 162.31/21.03 fof(f1142,plain,(
% 162.31/21.03 ~theorem(implies(or(p,or(q,r)),or(r,or(p,q))))),
% 162.31/21.03 inference(resolution,[status(thm)],[f649,f32])).
% 162.31/21.03 fof(f1823,plain,(
% 162.31/21.03 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 162.31/21.03 inference(resolution,[status(thm)],[f18,f16])).
% 162.31/21.03 fof(f1850,plain,(
% 162.31/21.03 ![X0,X1,X2,X3]: (theorem(X0)|~axiom(implies(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))),X0)))),
% 162.31/21.03 inference(resolution,[status(thm)],[f1823,f35])).
% 162.31/21.03 fof(f1851,plain,(
% 162.31/21.03 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(or(X1,X2),or(X2,X1)),X0)))),
% 153.20/21.08 inference(resolution,[status(thm)],[f1823,f32])).
% 153.20/21.08 fof(f1964,plain,(
% 153.20/21.08 ![X0,X1,X2,X3]: (theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X2,or(X1,X3))))))),
% 153.20/21.08 inference(resolution,[status(thm)],[f1850,f47])).
% 153.20/21.08 fof(f1979,plain,(
% 153.20/21.08 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))))),
% 153.20/21.08 inference(resolution,[status(thm)],[f1851,f14])).
% 153.20/21.08 fof(f2336,plain,(
% 153.20/21.08 ![X0,X1,X2,X3]: (theorem(implies(X0,or(X1,or(X2,X3))))|~theorem(implies(X0,or(X2,or(X1,X3)))))),
% 153.20/21.08 inference(resolution,[status(thm)],[f1964,f18])).
% 153.20/21.08 fof(f8043,plain,(
% 153.20/21.08 ~theorem(implies(or(p,or(q,r)),or(p,or(r,q))))),
% 153.20/21.08 inference(resolution,[status(thm)],[f1142,f2336])).
% 153.20/21.08 fof(f8058,plain,(
% 153.20/21.08 $false),
% 153.20/21.08 inference(forward_subsumption_resolution,[status(thm)],[f8043,f1979])).
% 153.20/21.08 % SZS output end CNFRefutation for theBenchmark.p
% 10.31/21.25 % Elapsed time: 20.856781 seconds
% 10.31/21.25 % CPU time: 164.218290 seconds
% 10.31/21.25 % Total memory used: 801.604 MB
% 10.31/21.25 % Net memory used: 710.209 MB
%------------------------------------------------------------------------------