%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL287-3 : 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 : n016.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 01:09:47 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL287-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n016.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 00:23:22 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.52 % Refutation found
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.52 fof(f1,axiom,(
% 0.18/0.52 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f2,axiom,(
% 0.18/0.52 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f3,axiom,(
% 0.18/0.52 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f4,axiom,(
% 0.18/0.52 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f6,axiom,(
% 0.18/0.52 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f7,axiom,(
% 0.18/0.52 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f8,axiom,(
% 0.18/0.52 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f9,axiom,(
% 0.18/0.52 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f10,axiom,(
% 0.18/0.52 (![P,Q]: (equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) ))),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f11,negated_conjecture,(
% 0.18/0.52 ~ theorem(equivalent(and(p,q),not(or(not(p),not(q))))) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f12,plain,(
% 0.18/0.52 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.52 fof(f13,plain,(
% 0.18/0.52 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.52 fof(f14,plain,(
% 0.18/0.52 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.52 fof(f15,plain,(
% 0.18/0.52 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.52 fof(f17,plain,(
% 0.18/0.52 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.52 fof(f18,plain,(
% 0.18/0.52 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.52 fof(f19,plain,(
% 0.18/0.52 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f8])).
% 0.18/0.52 fof(f20,plain,(
% 0.18/0.52 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f19])).
% 0.18/0.52 fof(f21,plain,(
% 0.18/0.52 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.52 fof(f22,plain,(
% 0.18/0.52 ![X0,X1]: (equivalent(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f10])).
% 0.18/0.52 fof(f23,plain,(
% 0.18/0.52 ~theorem(equivalent(and(p,q),not(or(not(p),not(q)))))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.52 fof(f24,plain,(
% 0.18/0.52 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.18/0.52 inference(resolution,[status(thm)],[f12,f18])).
% 0.18/0.52 fof(f25,plain,(
% 0.18/0.52 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.18/0.52 inference(resolution,[status(thm)],[f13,f18])).
% 0.18/0.52 fof(f26,plain,(
% 0.18/0.52 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.18/0.52 inference(resolution,[status(thm)],[f14,f18])).
% 0.18/0.52 fof(f30,plain,(
% 0.18/0.52 ![X0]: (theorem(implies(implies(X0,not(X0)),not(X0))))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f17,f24])).
% 0.18/0.52 fof(f34,plain,(
% 0.18/0.52 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.18/0.52 inference(resolution,[status(thm)],[f20,f24])).
% 0.18/0.52 fof(f36,plain,(
% 0.18/0.52 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.18/0.52 inference(resolution,[status(thm)],[f20,f25])).
% 0.18/0.52 fof(f38,plain,(
% 0.18/0.52 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.18/0.52 inference(resolution,[status(thm)],[f15,f18])).
% 0.18/0.52 fof(f53,plain,(
% 0.18/0.52 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.18/0.52 inference(resolution,[status(thm)],[f26,f20])).
% 0.18/0.52 fof(f57,plain,(
% 0.18/0.52 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f17,f26])).
% 0.18/0.52 fof(f97,plain,(
% 0.18/0.52 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f17,f21])).
% 0.18/0.52 fof(f119,plain,(
% 0.18/0.52 ~theorem(equivalent(and(p,q),not(implies(p,not(q)))))),
% 0.18/0.53 inference(forward_demodulation,[status(thm)],[f17,f23])).
% 0.18/0.53 fof(f120,plain,(
% 0.18/0.53 ~theorem(equivalent(and(p,q),and(p,q)))),
% 0.18/0.53 inference(forward_demodulation,[status(thm)],[f97,f119])).
% 0.18/0.53 fof(f129,plain,(
% 0.18/0.53 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f17,f53])).
% 0.18/0.53 fof(f177,plain,(
% 0.18/0.53 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f38,f20])).
% 0.18/0.53 fof(f207,plain,(
% 0.18/0.53 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f57,f20])).
% 0.18/0.53 fof(f212,plain,(
% 0.18/0.53 ![X0]: (theorem(or(not(X0),not(implies(X0,not(X0))))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f129,f30])).
% 0.18/0.53 fof(f218,plain,(
% 0.18/0.53 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f129,f25])).
% 0.18/0.53 fof(f223,plain,(
% 0.18/0.53 ![X0]: (theorem(implies(X0,not(implies(X0,not(X0))))))),
% 0.18/0.53 inference(forward_demodulation,[status(thm)],[f17,f212])).
% 0.18/0.53 fof(f224,plain,(
% 0.18/0.53 ![X0]: (theorem(implies(X0,and(X0,X0))))),
% 0.18/0.53 inference(forward_demodulation,[status(thm)],[f97,f223])).
% 0.18/0.53 fof(f229,plain,(
% 0.18/0.53 ![X0]: (theorem(implies(implies(X0,X0),equivalent(X0,X0))))),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f22,f224])).
% 0.18/0.53 fof(f267,plain,(
% 0.18/0.53 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f218,f36])).
% 0.18/0.53 fof(f302,plain,(
% 0.18/0.53 ![X0]: (theorem(equivalent(X0,X0))|~theorem(implies(X0,X0)))),
% 0.18/0.53 inference(resolution,[status(thm)],[f229,f20])).
% 0.18/0.53 fof(f975,plain,(
% 0.18/0.53 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f177,f267])).
% 0.18/0.53 fof(f1004,plain,(
% 0.18/0.53 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f975,f53])).
% 0.18/0.53 fof(f1268,plain,(
% 0.18/0.53 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f1004,f177])).
% 0.18/0.53 fof(f1361,plain,(
% 0.18/0.53 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 0.18/0.53 inference(resolution,[status(thm)],[f1268,f34])).
% 0.18/0.53 fof(f1373,plain,(
% 0.18/0.53 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f1361,f53])).
% 0.18/0.53 fof(f1382,plain,(
% 0.18/0.53 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f1373,f177])).
% 0.18/0.53 fof(f1406,plain,(
% 0.18/0.53 ![X0]: (theorem(or(X0,not(X0))))),
% 0.18/0.53 inference(resolution,[status(thm)],[f1382,f34])).
% 0.18/0.53 fof(f1416,plain,(
% 0.18/0.53 ![X0]: (theorem(implies(X0,X0)))),
% 0.18/0.53 inference(resolution,[status(thm)],[f1406,f207])).
% 0.18/0.53 fof(f1427,plain,(
% 0.18/0.53 ![X0]: (theorem(equivalent(X0,X0)))),
% 0.18/0.53 inference(backward_subsumption_resolution,[status(thm)],[f302,f1416])).
% 0.18/0.53 fof(f1449,plain,(
% 0.18/0.53 $false),
% 0.18/0.53 inference(backward_subsumption_resolution,[status(thm)],[f120,f1427])).
% 0.18/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.56 % Elapsed time: 0.097691 seconds
% 0.23/0.56 % CPU time: 0.491257 seconds
% 0.23/0.56 % Total memory used: 75.545 MB
% 0.23/0.56 % Net memory used: 75.106 MB
%------------------------------------------------------------------------------