%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL218-3 : 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 : 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 01:09:38 PM UTC 2026
% Result : Unsatisfiable 32.39s 4.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL218-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 00:13:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 32.39/4.60 % Refutation found
% 32.39/4.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 32.39/4.60 % SZS output start CNFRefutation for theBenchmark
% 32.39/4.60 fof(f1,axiom,(
% 32.39/4.60 (![A]: (axiom(implies(or(A,A),A)) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.60 fof(f2,axiom,(
% 32.39/4.60 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.60 fof(f3,axiom,(
% 32.39/4.60 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.60 fof(f4,axiom,(
% 32.39/4.60 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.60 fof(f5,axiom,(
% 32.39/4.60 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.60 fof(f6,axiom,(
% 32.39/4.60 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.60 fof(f7,axiom,(
% 32.39/4.60 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 32.39/4.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.61 fof(f8,axiom,(
% 32.39/4.61 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 32.39/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.61 fof(f9,negated_conjecture,(
% 32.39/4.61 ~ theorem(implies(implies(or(p,q),q),implies(p,q))) ),
% 32.39/4.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 32.39/4.61 fof(f10,plain,(
% 32.39/4.61 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f1])).
% 32.39/4.61 fof(f11,plain,(
% 32.39/4.61 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f2])).
% 32.39/4.61 fof(f12,plain,(
% 32.39/4.61 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f3])).
% 32.39/4.61 fof(f13,plain,(
% 32.39/4.61 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f4])).
% 32.39/4.61 fof(f14,plain,(
% 32.39/4.61 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f5])).
% 32.39/4.61 fof(f15,plain,(
% 32.39/4.61 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f6])).
% 32.39/4.61 fof(f16,plain,(
% 32.39/4.61 ![X0]: (theorem(X0)|~axiom(X0))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f7])).
% 32.39/4.61 fof(f17,plain,(
% 32.39/4.61 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 32.39/4.61 inference(miniscoping,[status(thm)],[f8])).
% 32.39/4.61 fof(f18,plain,(
% 32.39/4.61 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f17])).
% 32.39/4.61 fof(f19,plain,(
% 32.39/4.61 ~theorem(implies(implies(or(p,q),q),implies(p,q)))),
% 32.39/4.61 inference(cnf_transformation,[status(thm)],[f9])).
% 32.39/4.61 fof(f20,plain,(
% 32.39/4.61 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 32.39/4.61 inference(resolution,[status(thm)],[f10,f16])).
% 32.39/4.61 fof(f21,plain,(
% 32.39/4.61 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 32.39/4.61 inference(resolution,[status(thm)],[f20,f18])).
% 32.39/4.61 fof(f22,plain,(
% 32.39/4.61 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 32.39/4.61 inference(resolution,[status(thm)],[f11,f16])).
% 32.39/4.61 fof(f23,plain,(
% 32.39/4.61 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 32.39/4.61 inference(resolution,[status(thm)],[f22,f18])).
% 32.39/4.61 fof(f44,plain,(
% 32.39/4.61 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 32.39/4.61 inference(resolution,[status(thm)],[f12,f16])).
% 32.39/4.61 fof(f47,plain,(
% 32.39/4.61 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 32.39/4.61 inference(resolution,[status(thm)],[f44,f18])).
% 32.39/4.61 fof(f63,plain,(
% 32.39/4.61 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 32.39/4.61 inference(resolution,[status(thm)],[f13,f16])).
% 32.39/4.61 fof(f64,plain,(
% 32.39/4.61 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 32.39/4.61 inference(paramodulation,[status(thm)],[f15,f13])).
% 32.39/4.61 fof(f68,plain,(
% 32.39/4.61 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 32.39/4.61 inference(forward_demodulation,[status(thm)],[f15,f64])).
% 32.39/4.61 fof(f73,plain,(
% 32.39/4.61 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 32.39/4.61 inference(paramodulation,[status(thm)],[f15,f14])).
% 32.39/4.61 fof(f75,plain,(
% 32.39/4.61 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 32.39/4.61 inference(forward_demodulation,[status(thm)],[f15,f73])).
% 32.39/4.61 fof(f77,plain,(
% 32.39/4.61 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 24.76/4.63 inference(resolution,[status(thm)],[f63,f18])).
% 24.76/4.63 fof(f116,plain,(
% 24.76/4.63 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,X2)))),
% 24.76/4.63 inference(resolution,[status(thm)],[f77,f23])).
% 24.76/4.63 fof(f150,plain,(
% 24.76/4.63 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 24.76/4.63 inference(paramodulation,[status(thm)],[f15,f68])).
% 24.76/4.63 fof(f152,plain,(
% 24.76/4.63 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 24.76/4.63 inference(forward_demodulation,[status(thm)],[f15,f150])).
% 24.76/4.63 fof(f183,plain,(
% 24.76/4.63 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 24.76/4.63 inference(resolution,[status(thm)],[f18,f16])).
% 24.76/4.63 fof(f224,plain,(
% 24.76/4.63 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 24.76/4.63 inference(resolution,[status(thm)],[f183,f68])).
% 24.76/4.63 fof(f226,plain,(
% 24.76/4.63 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 24.76/4.63 inference(resolution,[status(thm)],[f183,f75])).
% 24.76/4.63 fof(f290,plain,(
% 24.76/4.63 ![X0,X1]: (~theorem(or(or(X0,X1),X1))|theorem(or(X0,X1)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f116,f21])).
% 24.76/4.64 fof(f302,plain,(
% 24.76/4.64 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,or(X0,X1))))),
% 24.76/4.64 inference(resolution,[status(thm)],[f290,f47])).
% 24.76/4.64 fof(f378,plain,(
% 24.76/4.64 ![X0,X1]: (~theorem(or(X0,or(X1,X1)))|theorem(or(X0,X1)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f77,f302])).
% 24.76/4.64 fof(f448,plain,(
% 24.76/4.64 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 24.76/4.64 inference(resolution,[status(thm)],[f152,f183])).
% 24.76/4.64 fof(f497,plain,(
% 24.76/4.64 ![X0,X1]: (~theorem(implies(X0,or(X1,X1)))|theorem(or(not(X0),X1)))),
% 24.76/4.64 inference(paramodulation,[status(thm)],[f15,f378])).
% 24.76/4.64 fof(f499,plain,(
% 24.76/4.64 ![X0,X1]: (~theorem(implies(X0,or(X1,X1)))|theorem(implies(X0,X1)))),
% 24.76/4.64 inference(forward_demodulation,[status(thm)],[f15,f497])).
% 24.76/4.64 fof(f599,plain,(
% 24.76/4.64 ![X0]: (theorem(implies(X0,X0)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f499,f22])).
% 24.76/4.64 fof(f740,plain,(
% 24.76/4.64 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1))))),
% 24.76/4.64 inference(resolution,[status(thm)],[f224,f599])).
% 24.76/4.64 fof(f748,plain,(
% 24.76/4.64 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f226,f18])).
% 24.76/4.64 fof(f815,plain,(
% 24.76/4.64 ![X0,X1]: (theorem(implies(X0,implies(or(not(X0),X1),X1))))),
% 24.76/4.64 inference(paramodulation,[status(thm)],[f15,f740])).
% 24.76/4.64 fof(f817,plain,(
% 24.76/4.64 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 24.76/4.64 inference(forward_demodulation,[status(thm)],[f15,f815])).
% 24.76/4.64 fof(f1658,plain,(
% 24.76/4.64 ~theorem(implies(p,implies(implies(or(p,q),q),q)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f448,f19])).
% 24.76/4.64 fof(f1899,plain,(
% 24.76/4.64 ![X0]: (~theorem(implies(X0,implies(implies(or(p,q),q),q)))|~theorem(implies(p,X0)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f748,f1658])).
% 24.76/4.64 fof(f2510,plain,(
% 24.76/4.64 ~theorem(implies(p,or(p,q)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f1899,f817])).
% 24.76/4.64 fof(f4611,plain,(
% 24.76/4.64 ![X0,X1,X2]: (~theorem(implies(or(X0,X1),X2))|theorem(implies(X1,X2)))),
% 24.76/4.64 inference(resolution,[status(thm)],[f748,f22])).
% 24.76/4.64 fof(f8720,plain,(
% 24.76/4.64 ![X0,X1]: (theorem(implies(X0,or(X0,X1))))),
% 24.76/4.64 inference(resolution,[status(thm)],[f4611,f44])).
% 24.76/4.64 fof(f8852,plain,(
% 24.76/4.64 $false),
% 24.76/4.64 inference(backward_subsumption_resolution,[status(thm)],[f2510,f8720])).
% 24.76/4.64 % SZS output end CNFRefutation for theBenchmark.p
% 24.76/4.70 % Elapsed time: 4.320801 seconds
% 24.76/4.70 % CPU time: 33.478139 seconds
% 24.76/4.70 % Total memory used: 257.005 MB
% 24.76/4.70 % Net memory used: 236.363 MB
%------------------------------------------------------------------------------