%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL241-3 : 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 : n008.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 01:09:42 PM UTC 2026
% Result : Unsatisfiable 26.81s 3.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL241-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:14:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 26.81/3.88 % Refutation found
% 26.81/3.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.81/3.88 % SZS output start CNFRefutation for theBenchmark
% 26.81/3.88 fof(f1,axiom,(
% 26.81/3.88 (![A]: (axiom(implies(or(A,A),A)) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.88 fof(f2,axiom,(
% 26.81/3.88 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.88 fof(f3,axiom,(
% 26.81/3.88 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.88 fof(f4,axiom,(
% 26.81/3.88 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.88 fof(f5,axiom,(
% 26.81/3.88 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.88 fof(f6,axiom,(
% 26.81/3.88 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.88 fof(f7,axiom,(
% 26.81/3.88 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 26.81/3.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.89 fof(f8,axiom,(
% 26.81/3.89 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 26.81/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.89 fof(f9,axiom,(
% 26.81/3.89 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 26.81/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.89 fof(f10,negated_conjecture,(
% 26.81/3.89 ~ theorem(implies(and(p,q),q)) ),
% 26.81/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.81/3.89 fof(f11,plain,(
% 26.81/3.89 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f1])).
% 26.81/3.89 fof(f12,plain,(
% 26.81/3.89 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f2])).
% 26.81/3.89 fof(f13,plain,(
% 26.81/3.89 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f3])).
% 26.81/3.89 fof(f14,plain,(
% 26.81/3.89 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f4])).
% 26.81/3.89 fof(f15,plain,(
% 26.81/3.89 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f5])).
% 26.81/3.89 fof(f16,plain,(
% 26.81/3.89 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f6])).
% 26.81/3.89 fof(f17,plain,(
% 26.81/3.89 ![X0]: (theorem(X0)|~axiom(X0))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f7])).
% 26.81/3.89 fof(f18,plain,(
% 26.81/3.89 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 26.81/3.89 inference(miniscoping,[status(thm)],[f8])).
% 26.81/3.89 fof(f19,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f18])).
% 26.81/3.89 fof(f20,plain,(
% 26.81/3.89 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f9])).
% 26.81/3.89 fof(f21,plain,(
% 26.81/3.89 ~theorem(implies(and(p,q),q))),
% 26.81/3.89 inference(cnf_transformation,[status(thm)],[f10])).
% 26.81/3.89 fof(f734,plain,(
% 26.81/3.89 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 26.81/3.89 inference(resolution,[status(thm)],[f11,f17])).
% 26.81/3.89 fof(f735,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 26.81/3.89 inference(resolution,[status(thm)],[f12,f17])).
% 26.81/3.89 fof(f736,plain,(
% 26.81/3.89 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 26.81/3.89 inference(resolution,[status(thm)],[f734,f19])).
% 26.81/3.89 fof(f737,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 26.81/3.89 inference(resolution,[status(thm)],[f735,f19])).
% 26.81/3.89 fof(f751,plain,(
% 26.81/3.89 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 26.81/3.89 inference(backward_demodulation,[status(thm)],[f16,f20])).
% 26.81/3.89 fof(f776,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 26.81/3.89 inference(resolution,[status(thm)],[f13,f17])).
% 26.81/3.89 fof(f806,plain,(
% 26.81/3.89 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 26.81/3.89 inference(resolution,[status(thm)],[f14,f17])).
% 26.81/3.89 fof(f815,plain,(
% 26.81/3.89 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 26.81/3.89 inference(resolution,[status(thm)],[f15,f17])).
% 26.81/3.89 fof(f823,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 26.81/3.89 inference(resolution,[status(thm)],[f776,f19])).
% 26.81/3.89 fof(f827,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 26.81/3.89 inference(paramodulation,[status(thm)],[f16,f776])).
% 26.81/3.89 fof(f831,plain,(
% 26.81/3.89 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 11.52/3.92 inference(paramodulation,[status(thm)],[f16,f823])).
% 11.52/3.92 fof(f880,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f827,f19])).
% 11.52/3.92 fof(f896,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f831,f735])).
% 11.52/3.92 fof(f983,plain,(
% 11.52/3.92 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f896,f737])).
% 11.52/3.92 fof(f1118,plain,(
% 11.52/3.92 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f806,f19])).
% 11.52/3.92 fof(f1192,plain,(
% 11.52/3.92 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 11.52/3.92 inference(resolution,[status(thm)],[f815,f19])).
% 11.52/3.92 fof(f4430,plain,(
% 11.52/3.92 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f1118,f983])).
% 11.52/3.92 fof(f4477,plain,(
% 11.52/3.92 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f4430,f823])).
% 11.52/3.92 fof(f4962,plain,(
% 11.52/3.92 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f4477,f1118])).
% 11.52/3.92 fof(f5151,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 11.52/3.92 inference(resolution,[status(thm)],[f4962,f736])).
% 11.52/3.92 fof(f5169,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f5151,f823])).
% 11.52/3.92 fof(f5184,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f5169,f1118])).
% 11.52/3.92 fof(f5194,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(X0,implies(X1,not(X0)))))),
% 11.52/3.92 inference(paramodulation,[status(thm)],[f16,f5169])).
% 11.52/3.92 fof(f5222,plain,(
% 11.52/3.92 ![X0]: (theorem(or(X0,not(X0))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f5184,f736])).
% 11.52/3.92 fof(f5247,plain,(
% 11.52/3.92 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 11.52/3.92 inference(paramodulation,[status(thm)],[f16,f5222])).
% 11.52/3.92 fof(f5614,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(implies(or(X0,X1),or(X0,not(not(X1))))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f1192,f5247])).
% 11.52/3.92 fof(f34439,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(X0,not(not(X1))))|~theorem(or(X0,X1)))),
% 11.52/3.92 inference(resolution,[status(thm)],[f5614,f19])).
% 11.52/3.92 fof(f53049,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(X0,not(not(implies(X1,not(X0)))))))),
% 11.52/3.92 inference(resolution,[status(thm)],[f34439,f5194])).
% 11.52/3.92 fof(f53093,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(or(X0,not(and(X1,X0)))))),
% 11.52/3.92 inference(forward_demodulation,[status(thm)],[f751,f53049])).
% 11.52/3.92 fof(f53099,plain,(
% 11.52/3.92 ![X0,X1]: (theorem(implies(and(X0,X1),X1)))),
% 11.52/3.92 inference(resolution,[status(thm)],[f53093,f880])).
% 11.52/3.92 fof(f53151,plain,(
% 11.52/3.92 $false),
% 11.52/3.92 inference(backward_subsumption_resolution,[status(thm)],[f21,f53099])).
% 11.52/3.92 % SZS output end CNFRefutation for theBenchmark.p
% 11.52/3.94 % Elapsed time: 3.557669 seconds
% 11.52/3.94 % CPU time: 27.777731 seconds
% 11.52/3.94 % Total memory used: 335.689 MB
% 11.52/3.94 % Net memory used: 318.994 MB
%------------------------------------------------------------------------------