%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL213-3 : 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 : n017.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 01:09:37 PM UTC 2026
% Result : Unsatisfiable 50.22s 6.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL213-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 00:06:41 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 50.22/6.79 % Refutation found
% 50.22/6.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 50.22/6.79 % SZS output start CNFRefutation for theBenchmark
% 50.22/6.79 fof(f1,axiom,(
% 50.22/6.79 (![A]: (axiom(implies(or(A,A),A)) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f3,axiom,(
% 50.22/6.79 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f4,axiom,(
% 50.22/6.79 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f5,axiom,(
% 50.22/6.79 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f6,axiom,(
% 50.22/6.79 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f7,axiom,(
% 50.22/6.79 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f8,axiom,(
% 50.22/6.79 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f9,negated_conjecture,(
% 50.22/6.79 ~ theorem(implies(implies(p,q),implies(implies(not(p),q),q))) ),
% 50.22/6.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.22/6.79 fof(f10,plain,(
% 50.22/6.79 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f1])).
% 50.22/6.79 fof(f12,plain,(
% 50.22/6.79 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f3])).
% 50.22/6.79 fof(f13,plain,(
% 50.22/6.79 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f4])).
% 50.22/6.79 fof(f14,plain,(
% 50.22/6.79 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f5])).
% 50.22/6.79 fof(f15,plain,(
% 50.22/6.79 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f6])).
% 50.22/6.79 fof(f16,plain,(
% 50.22/6.79 ![X0]: (theorem(X0)|~axiom(X0))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f7])).
% 50.22/6.79 fof(f17,plain,(
% 50.22/6.79 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 50.22/6.79 inference(miniscoping,[status(thm)],[f8])).
% 50.22/6.79 fof(f18,plain,(
% 50.22/6.79 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f17])).
% 50.22/6.79 fof(f19,plain,(
% 50.22/6.79 ~theorem(implies(implies(p,q),implies(implies(not(p),q),q)))),
% 50.22/6.79 inference(cnf_transformation,[status(thm)],[f9])).
% 50.22/6.79 fof(f20,plain,(
% 50.22/6.79 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 50.22/6.79 inference(resolution,[status(thm)],[f14,f16])).
% 50.22/6.79 fof(f25,plain,(
% 50.22/6.79 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 50.22/6.79 inference(resolution,[status(thm)],[f20,f18])).
% 50.22/6.79 fof(f26,plain,(
% 50.22/6.79 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 50.22/6.79 inference(paramodulation,[status(thm)],[f15,f20])).
% 50.22/6.79 fof(f28,plain,(
% 50.22/6.79 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 50.22/6.79 inference(forward_demodulation,[status(thm)],[f15,f26])).
% 50.22/6.79 fof(f33,plain,(
% 50.22/6.79 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 50.22/6.79 inference(resolution,[status(thm)],[f28,f18])).
% 50.22/6.79 fof(f34,plain,(
% 50.22/6.79 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 50.22/6.79 inference(resolution,[status(thm)],[f10,f16])).
% 50.22/6.79 fof(f36,plain,(
% 50.22/6.79 ![X0,X1]: (theorem(implies(or(X0,or(X1,X1)),or(X0,X1))))),
% 50.22/6.79 inference(resolution,[status(thm)],[f34,f25])).
% 50.22/6.79 fof(f42,plain,(
% 50.22/6.79 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 50.22/6.79 inference(resolution,[status(thm)],[f12,f16])).
% 50.22/6.79 fof(f46,plain,(
% 50.22/6.79 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 50.22/6.79 inference(paramodulation,[status(thm)],[f15,f13])).
% 50.22/6.79 fof(f50,plain,(
% 50.22/6.79 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 50.22/6.79 inference(forward_demodulation,[status(thm)],[f15,f46])).
% 50.22/6.79 fof(f63,plain,(
% 50.22/6.79 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 50.22/6.79 inference(paramodulation,[status(thm)],[f15,f42])).
% 50.22/6.79 fof(f93,plain,(
% 50.22/6.79 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 50.22/6.79 inference(paramodulation,[status(thm)],[f15,f50])).
% 50.22/6.80 fof(f95,plain,(
% 50.22/6.80 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 50.22/6.80 inference(forward_demodulation,[status(thm)],[f15,f93])).
% 50.22/6.80 fof(f154,plain,(
% 50.22/6.80 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 50.22/6.80 inference(resolution,[status(thm)],[f33,f18])).
% 50.22/6.80 fof(f157,plain,(
% 50.22/6.80 ![X0,X1]: (theorem(implies(implies(X0,or(X1,X1)),or(not(X0),X1))))),
% 50.22/6.80 inference(paramodulation,[status(thm)],[f15,f36])).
% 50.22/6.80 fof(f160,plain,(
% 50.22/6.80 ![X0,X1]: (theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))))),
% 50.22/6.80 inference(forward_demodulation,[status(thm)],[f15,f157])).
% 50.22/6.80 fof(f698,plain,(
% 50.22/6.80 ![X0]: (~theorem(implies(X0,implies(implies(not(p),q),q)))|~theorem(implies(implies(p,q),X0)))),
% 50.22/6.80 inference(resolution,[status(thm)],[f154,f19])).
% 50.22/6.80 fof(f706,plain,(
% 50.22/6.80 ~theorem(implies(implies(p,q),implies(implies(not(p),q),or(q,q))))),
% 50.22/6.80 inference(resolution,[status(thm)],[f698,f160])).
% 50.22/6.80 fof(f849,plain,(
% 50.22/6.80 ![X0]: (~theorem(implies(X0,implies(implies(not(p),q),or(q,q))))|~theorem(implies(implies(p,q),X0)))),
% 50.22/6.80 inference(resolution,[status(thm)],[f706,f154])).
% 50.22/6.80 fof(f2810,plain,(
% 50.22/6.80 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 50.22/6.80 inference(resolution,[status(thm)],[f18,f16])).
% 50.22/6.80 fof(f2842,plain,(
% 50.22/6.80 ![X0,X1,X2,X3]: (theorem(X0)|~axiom(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X0)))),
% 50.22/6.80 inference(resolution,[status(thm)],[f2810,f20])).
% 50.22/6.80 fof(f2963,plain,(
% 50.22/6.80 ![X0,X1,X2]: (theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))))),
% 50.22/6.80 inference(resolution,[status(thm)],[f2842,f95])).
% 50.22/6.80 fof(f7398,plain,(
% 50.22/6.80 ~theorem(implies(implies(p,q),or(q,not(p))))),
% 50.22/6.80 inference(resolution,[status(thm)],[f849,f2963])).
% 50.22/6.80 fof(f7431,plain,(
% 50.22/6.80 $false),
% 50.22/6.80 inference(forward_subsumption_resolution,[status(thm)],[f7398,f63])).
% 50.22/6.80 % SZS output end CNFRefutation for theBenchmark.p
% 3.36/6.87 % Elapsed time: 6.495197 seconds
% 3.36/6.87 % CPU time: 51.048154 seconds
% 3.36/6.87 % Total memory used: 484.072 MB
% 3.36/6.87 % Net memory used: 436.340 MB
%------------------------------------------------------------------------------