%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL236-3 : 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 : n020.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 01:09:41 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL236-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n020.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 00:14:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,axiom,(
% 0.09/0.39 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,axiom,(
% 0.09/0.39 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,axiom,(
% 0.09/0.39 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,axiom,(
% 0.09/0.39 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,negated_conjecture,(
% 0.09/0.39 ~ theorem(implies(or(not(p),not(q)),not(and(p,q)))) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ~theorem(implies(or(not(p),not(q)),not(and(p,q))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ~theorem(implies(implies(p,not(q)),not(and(p,q))))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f16,f21])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f23,f16])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 ~theorem(or(and(p,q),not(and(p,q))))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f25,f22])).
% 0.09/0.39 fof(f177,plain,(
% 0.09/0.39 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f11,f17])).
% 0.09/0.39 fof(f182,plain,(
% 0.09/0.39 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f12,f17])).
% 0.09/0.39 fof(f188,plain,(
% 0.09/0.39 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f177,f19])).
% 0.09/0.39 fof(f193,plain,(
% 0.09/0.39 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.09/0.39 inference(resolution,[status(thm)],[f182,f19])).
% 0.09/0.39 fof(f251,plain,(
% 0.09/0.39 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f13,f17])).
% 0.09/0.39 fof(f301,plain,(
% 0.09/0.39 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f14,f17])).
% 0.09/0.39 fof(f333,plain,(
% 0.09/0.39 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f251,f19])).
% 0.09/0.39 fof(f393,plain,(
% 0.09/0.39 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f16,f333])).
% 0.09/0.39 fof(f547,plain,(
% 0.09/0.39 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f301,f19])).
% 0.14/0.40 fof(f665,plain,(
% 0.14/0.40 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f393,f182])).
% 0.14/0.40 fof(f713,plain,(
% 0.14/0.40 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f665,f193])).
% 0.14/0.40 fof(f1898,plain,(
% 0.14/0.40 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f547,f713])).
% 0.14/0.40 fof(f1919,plain,(
% 0.14/0.40 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f1898,f333])).
% 0.14/0.40 fof(f2197,plain,(
% 0.14/0.40 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f1919,f547])).
% 0.14/0.40 fof(f2444,plain,(
% 0.14/0.40 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f2197,f188])).
% 0.14/0.40 fof(f2461,plain,(
% 0.14/0.40 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f2444,f333])).
% 0.14/0.40 fof(f2475,plain,(
% 0.14/0.40 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f2461,f547])).
% 0.14/0.40 fof(f2510,plain,(
% 0.14/0.40 ![X0]: (theorem(or(X0,not(X0))))),
% 0.14/0.40 inference(resolution,[status(thm)],[f2475,f188])).
% 0.14/0.40 fof(f2526,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f29,f2510])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.060464 seconds
% 0.14/0.41 % CPU time: 0.244523 seconds
% 0.14/0.41 % Total memory used: 71.729 MB
% 0.14/0.41 % Net memory used: 71.187 MB
%------------------------------------------------------------------------------