%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL202-3 : 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 : n012.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 01:09:35 PM UTC 2026
% Result : Unsatisfiable 8.71s 21.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL202-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/20.34 % Computer : n012.cluster.edu
% 0.06/20.34 % Model : x86_64 x86_64
% 0.06/20.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/20.34 % Memory : 8046.5625MB
% 0.06/20.34 % OS : Linux 6.8.0-71-generic
% 0.06/20.34 % CPULimit : 300
% 0.06/20.34 % WCLimit : 300
% 0.06/20.34 % DateTime : Mon Sep 21 00:11:05 UTC 2026
% 0.06/20.35 % CPUTime :
% 0.06/20.36 % Drodi V4.1.1
% 8.71/21.58 % Refutation found
% 8.71/21.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.71/21.58 % SZS output start CNFRefutation for theBenchmark
% 8.71/21.58 fof(f1,axiom,(
% 8.71/21.58 (![A]: (axiom(implies(or(A,A),A)) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f2,axiom,(
% 8.71/21.58 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f3,axiom,(
% 8.71/21.58 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f4,axiom,(
% 8.71/21.58 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f5,axiom,(
% 8.71/21.58 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f6,axiom,(
% 8.71/21.58 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f7,axiom,(
% 8.71/21.58 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f8,axiom,(
% 8.71/21.58 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f9,negated_conjecture,(
% 8.71/21.58 ~ theorem(implies(not(or(p,q)),or(p,not(q)))) ),
% 8.71/21.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/21.58 fof(f10,plain,(
% 8.71/21.58 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f1])).
% 8.71/21.58 fof(f11,plain,(
% 8.71/21.58 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f2])).
% 8.71/21.58 fof(f12,plain,(
% 8.71/21.58 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f3])).
% 8.71/21.58 fof(f13,plain,(
% 8.71/21.58 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f4])).
% 8.71/21.58 fof(f14,plain,(
% 8.71/21.58 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f5])).
% 8.71/21.58 fof(f15,plain,(
% 8.71/21.58 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f6])).
% 8.71/21.58 fof(f16,plain,(
% 8.71/21.58 ![X0]: (theorem(X0)|~axiom(X0))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f7])).
% 8.71/21.58 fof(f17,plain,(
% 8.71/21.58 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 8.71/21.58 inference(miniscoping,[status(thm)],[f8])).
% 8.71/21.58 fof(f18,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f17])).
% 8.71/21.58 fof(f19,plain,(
% 8.71/21.58 ~theorem(implies(not(or(p,q)),or(p,not(q))))),
% 8.71/21.58 inference(cnf_transformation,[status(thm)],[f9])).
% 8.71/21.58 fof(f20,plain,(
% 8.71/21.58 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f10,f16])).
% 8.71/21.58 fof(f21,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f11,f16])).
% 8.71/21.58 fof(f22,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f12,f16])).
% 8.71/21.58 fof(f30,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f13,f16])).
% 8.71/21.58 fof(f39,plain,(
% 8.71/21.58 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f18,f20])).
% 8.71/21.58 fof(f41,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 8.71/21.58 inference(resolution,[status(thm)],[f18,f21])).
% 8.71/21.58 fof(f46,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f14,f16])).
% 8.71/21.58 fof(f51,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f22,f18])).
% 8.71/21.58 fof(f52,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 8.71/21.58 inference(paramodulation,[status(thm)],[f15,f22])).
% 8.71/21.58 fof(f53,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 8.71/21.58 inference(paramodulation,[status(thm)],[f15,f22])).
% 8.71/21.58 fof(f70,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 8.71/21.58 inference(paramodulation,[status(thm)],[f15,f52])).
% 8.71/21.58 fof(f71,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f30,f18])).
% 8.71/21.58 fof(f80,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f53,f18])).
% 8.71/21.58 fof(f118,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f46,f18])).
% 8.71/21.58 fof(f126,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,X2)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f71,f41])).
% 8.71/21.58 fof(f127,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 8.71/21.58 inference(paramodulation,[status(thm)],[f15,f71])).
% 8.71/21.58 fof(f129,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 8.71/21.58 inference(forward_demodulation,[status(thm)],[f15,f127])).
% 8.71/21.58 fof(f158,plain,(
% 8.71/21.58 ![X0,X1,X2]: (~theorem(or(X0,X1))|theorem(or(or(X2,X1),X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f126,f51])).
% 8.71/21.58 fof(f159,plain,(
% 8.71/21.58 ![X0,X1]: (~theorem(or(or(X0,X1),X1))|theorem(or(X0,X1)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f126,f39])).
% 8.71/21.58 fof(f160,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(not(X0),X2)))),
% 8.71/21.58 inference(paramodulation,[status(thm)],[f15,f126])).
% 8.71/21.58 fof(f162,plain,(
% 8.71/21.58 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(implies(X0,X2)))),
% 8.71/21.58 inference(forward_demodulation,[status(thm)],[f15,f160])).
% 8.71/21.58 fof(f175,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X1)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f159,f158])).
% 8.71/21.58 fof(f204,plain,(
% 8.71/21.58 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f118,f18])).
% 8.71/21.58 fof(f229,plain,(
% 8.71/21.58 ~theorem(implies(not(or(p,q)),not(q)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f162,f19])).
% 8.71/21.58 fof(f251,plain,(
% 8.71/21.58 ![X0,X1,X2]: (~theorem(implies(X0,or(or(X1,implies(X0,X2)),X2)))|theorem(or(X1,implies(X0,X2))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f129,f159])).
% 8.71/21.58 fof(f350,plain,(
% 8.71/21.58 ![X0,X1,X2]: (~theorem(implies(X0,not(X1)))|~theorem(or(X2,X0))|theorem(implies(X1,X2)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f204,f80])).
% 8.71/21.58 fof(f352,plain,(
% 8.71/21.58 ![X0,X1]: (~theorem(implies(X0,X1))|~theorem(or(X1,X0))|theorem(X1))),
% 8.71/21.58 inference(resolution,[status(thm)],[f204,f39])).
% 8.71/21.58 fof(f417,plain,(
% 8.71/21.58 ![X0,X1]: (~theorem(implies(X0,X1))|theorem(X1)|~theorem(or(X0,X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f352,f175])).
% 8.71/21.58 fof(f1198,plain,(
% 8.71/21.58 ![X0,X1]: (theorem(or(X0,implies(X1,X1))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f251,f21])).
% 8.71/21.58 fof(f1211,plain,(
% 8.71/21.58 ![X0,X1]: (~theorem(implies(implies(X0,X0),X1))|theorem(X1))),
% 8.71/21.58 inference(resolution,[status(thm)],[f1198,f417])).
% 8.71/21.58 fof(f1261,plain,(
% 8.71/21.58 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 8.71/21.58 inference(resolution,[status(thm)],[f1211,f70])).
% 8.71/21.58 fof(f1298,plain,(
% 8.71/21.58 ![X0,X1]: (~theorem(or(X0,X1))|theorem(implies(not(X1),X0)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f1261,f350])).
% 8.71/21.58 fof(f1907,plain,(
% 8.71/21.58 ~theorem(or(not(q),or(p,q)))),
% 8.71/21.58 inference(resolution,[status(thm)],[f1298,f229])).
% 8.71/21.58 fof(f1941,plain,(
% 8.71/21.58 ~theorem(implies(q,or(p,q)))),
% 8.71/21.58 inference(forward_demodulation,[status(thm)],[f15,f1907])).
% 8.71/21.58 fof(f1942,plain,(
% 8.71/21.58 $false),
% 8.71/21.58 inference(forward_subsumption_resolution,[status(thm)],[f1941,f21])).
% 8.71/21.58 % SZS output end CNFRefutation for theBenchmark.p
% 2.44/21.63 % Elapsed time: 1.265048 seconds
% 2.44/21.63 % CPU time: 9.612207 seconds
% 2.44/21.63 % Total memory used: 174.113 MB
% 2.44/21.63 % Net memory used: 162.007 MB
%------------------------------------------------------------------------------