%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL216-3 : 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 : n019.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 61.80s 8.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL216-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:12:07 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 61.80/8.26 % Refutation found
% 61.80/8.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 61.80/8.26 % SZS output start CNFRefutation for theBenchmark
% 61.80/8.26 fof(f1,axiom,(
% 61.80/8.26 (![A]: (axiom(implies(or(A,A),A)) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f3,axiom,(
% 61.80/8.26 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f4,axiom,(
% 61.80/8.26 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f5,axiom,(
% 61.80/8.26 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f6,axiom,(
% 61.80/8.26 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f7,axiom,(
% 61.80/8.26 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f8,axiom,(
% 61.80/8.26 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f9,negated_conjecture,(
% 61.80/8.26 ~ theorem(implies(or(p,q),implies(or(p,not(q)),p))) ),
% 61.80/8.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.80/8.26 fof(f10,plain,(
% 61.80/8.26 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f1])).
% 61.80/8.26 fof(f12,plain,(
% 61.80/8.26 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f3])).
% 61.80/8.26 fof(f13,plain,(
% 61.80/8.26 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f4])).
% 61.80/8.26 fof(f14,plain,(
% 61.80/8.26 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f5])).
% 61.80/8.26 fof(f15,plain,(
% 61.80/8.26 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f6])).
% 61.80/8.26 fof(f16,plain,(
% 61.80/8.26 ![X0]: (theorem(X0)|~axiom(X0))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f7])).
% 61.80/8.26 fof(f17,plain,(
% 61.80/8.26 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 61.80/8.26 inference(miniscoping,[status(thm)],[f8])).
% 61.80/8.26 fof(f18,plain,(
% 61.80/8.26 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f17])).
% 61.80/8.26 fof(f19,plain,(
% 61.80/8.26 ~theorem(implies(or(p,q),implies(or(p,not(q)),p)))),
% 61.80/8.26 inference(cnf_transformation,[status(thm)],[f9])).
% 61.80/8.26 fof(f20,plain,(
% 61.80/8.26 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 61.80/8.26 inference(resolution,[status(thm)],[f10,f16])).
% 61.80/8.26 fof(f45,plain,(
% 61.80/8.26 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 61.80/8.26 inference(resolution,[status(thm)],[f12,f16])).
% 61.80/8.26 fof(f50,plain,(
% 61.80/8.26 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 61.80/8.26 inference(paramodulation,[status(thm)],[f15,f45])).
% 61.80/8.26 fof(f57,plain,(
% 61.80/8.26 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 61.80/8.26 inference(resolution,[status(thm)],[f13,f16])).
% 61.80/8.26 fof(f66,plain,(
% 61.80/8.26 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 61.80/8.26 inference(resolution,[status(thm)],[f14,f16])).
% 61.80/8.26 fof(f67,plain,(
% 61.80/8.26 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 61.80/8.26 inference(paramodulation,[status(thm)],[f15,f14])).
% 61.80/8.26 fof(f69,plain,(
% 61.80/8.26 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 61.80/8.26 inference(forward_demodulation,[status(thm)],[f15,f67])).
% 61.80/8.26 fof(f82,plain,(
% 61.80/8.26 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 61.80/8.26 inference(resolution,[status(thm)],[f57,f18])).
% 61.80/8.26 fof(f147,plain,(
% 61.80/8.26 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 61.80/8.26 inference(resolution,[status(thm)],[f66,f18])).
% 61.80/8.26 fof(f198,plain,(
% 61.80/8.26 ![X0,X1]: (~axiom(implies(X0,X1))|theorem(X1)|~theorem(X0))),
% 61.80/8.26 inference(resolution,[status(thm)],[f16,f18])).
% 61.80/8.26 fof(f277,plain,(
% 61.80/8.26 ![X0,X1,X2,X3]: (~axiom(implies(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),X3))|theorem(X3))),
% 61.80/8.26 inference(resolution,[status(thm)],[f198,f66])).
% 61.80/8.26 fof(f280,plain,(
% 61.80/8.26 ![X0,X1]: (~axiom(implies(implies(or(X0,X0),X0),X1))|theorem(X1))),
% 61.80/8.26 inference(resolution,[status(thm)],[f198,f20])).
% 61.80/8.26 fof(f288,plain,(
% 61.80/8.26 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 61.80/8.28 inference(paramodulation,[status(thm)],[f15,f82])).
% 61.80/8.28 fof(f290,plain,(
% 61.80/8.28 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 61.80/8.28 inference(forward_demodulation,[status(thm)],[f15,f288])).
% 61.80/8.28 fof(f518,plain,(
% 61.80/8.28 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 61.80/8.28 inference(resolution,[status(thm)],[f147,f18])).
% 61.80/8.28 fof(f604,plain,(
% 61.80/8.28 ![X0,X1]: (theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))))),
% 61.80/8.28 inference(resolution,[status(thm)],[f280,f69])).
% 61.80/8.28 fof(f791,plain,(
% 61.80/8.28 ![X0,X1,X2,X3]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(or(X3,X1),or(X3,X2))))))),
% 61.80/8.28 inference(resolution,[status(thm)],[f277,f69])).
% 61.80/8.28 fof(f1446,plain,(
% 61.80/8.28 ![X0,X1,X2]: (theorem(or(not(X0),implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 61.80/8.28 inference(paramodulation,[status(thm)],[f15,f290])).
% 61.80/8.28 fof(f1447,plain,(
% 61.80/8.28 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 61.80/8.28 inference(forward_demodulation,[status(thm)],[f15,f1446])).
% 61.80/8.28 fof(f1908,plain,(
% 61.80/8.28 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(or(not(X2),X0)))),
% 61.80/8.28 inference(paramodulation,[status(thm)],[f15,f518])).
% 61.80/8.28 fof(f1909,plain,(
% 61.80/8.28 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 61.80/8.28 inference(forward_demodulation,[status(thm)],[f15,f1908])).
% 61.80/8.28 fof(f2216,plain,(
% 61.80/8.28 ![X0,X1,X2,X3]: (theorem(implies(X0,implies(or(X1,X2),or(X1,X3))))|~theorem(implies(X0,implies(X2,X3))))),
% 61.80/8.28 inference(resolution,[status(thm)],[f791,f18])).
% 61.80/8.28 fof(f10307,plain,(
% 61.80/8.28 ~theorem(implies(or(p,not(q)),implies(or(p,q),p)))),
% 61.80/8.28 inference(resolution,[status(thm)],[f1447,f19])).
% 61.80/8.28 fof(f12448,plain,(
% 61.80/8.28 ![X0]: (~theorem(implies(X0,implies(or(p,q),p)))|~theorem(implies(or(p,not(q)),X0)))),
% 61.80/8.28 inference(resolution,[status(thm)],[f1909,f10307])).
% 61.80/8.28 fof(f13588,plain,(
% 61.80/8.28 ~theorem(implies(or(p,not(q)),implies(or(p,q),or(p,p))))),
% 61.80/8.28 inference(resolution,[status(thm)],[f12448,f604])).
% 61.80/8.28 fof(f27113,plain,(
% 61.80/8.28 ~theorem(implies(or(p,not(q)),implies(q,p)))),
% 61.80/8.28 inference(resolution,[status(thm)],[f13588,f2216])).
% 61.80/8.28 fof(f27131,plain,(
% 61.80/8.28 $false),
% 61.80/8.28 inference(forward_subsumption_resolution,[status(thm)],[f27113,f50])).
% 61.80/8.28 % SZS output end CNFRefutation for theBenchmark.p
% 11.99/8.36 % Elapsed time: 7.966071 seconds
% 11.99/8.36 % CPU time: 62.722174 seconds
% 11.99/8.36 % Total memory used: 524.724 MB
% 11.99/8.36 % Net memory used: 466.835 MB
%------------------------------------------------------------------------------