%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL214-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 199.95s 26.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL214-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % Computer : n018.cluster.edu
% 0.20/0.52 % Model : x86_64 x86_64
% 0.20/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.52 % Memory : 8046.5625MB
% 0.20/0.52 % OS : Linux 6.8.0-71-generic
% 0.20/0.52 % CPULimit : 300
% 0.20/0.52 % WCLimit : 300
% 0.20/0.52 % DateTime : Mon Sep 21 00:13:59 UTC 2026
% 0.20/0.52 % CPUTime :
% 0.20/0.53 % Drodi V4.1.1
% 199.95/26.00 % Refutation found
% 199.95/26.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 199.95/26.00 % SZS output start CNFRefutation for theBenchmark
% 199.95/26.00 fof(f1,axiom,(
% 199.95/26.00 (![A]: (axiom(implies(or(A,A),A)) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f3,axiom,(
% 199.95/26.00 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f4,axiom,(
% 199.95/26.00 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f5,axiom,(
% 199.95/26.00 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f6,axiom,(
% 199.95/26.00 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f7,axiom,(
% 199.95/26.00 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f8,axiom,(
% 199.95/26.00 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f9,negated_conjecture,(
% 199.95/26.00 ~ theorem(implies(or(p,q),implies(implies(p,q),q))) ),
% 199.95/26.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 199.95/26.00 fof(f10,plain,(
% 199.95/26.00 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f1])).
% 199.95/26.00 fof(f12,plain,(
% 199.95/26.00 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f3])).
% 199.95/26.00 fof(f13,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f4])).
% 199.95/26.00 fof(f14,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f5])).
% 199.95/26.00 fof(f15,plain,(
% 199.95/26.00 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f6])).
% 199.95/26.00 fof(f16,plain,(
% 199.95/26.00 ![X0]: (theorem(X0)|~axiom(X0))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f7])).
% 199.95/26.00 fof(f17,plain,(
% 199.95/26.00 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 199.95/26.00 inference(miniscoping,[status(thm)],[f8])).
% 199.95/26.00 fof(f18,plain,(
% 199.95/26.00 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f17])).
% 199.95/26.00 fof(f19,plain,(
% 199.95/26.00 ~theorem(implies(or(p,q),implies(implies(p,q),q)))),
% 199.95/26.00 inference(cnf_transformation,[status(thm)],[f9])).
% 199.95/26.00 fof(f20,plain,(
% 199.95/26.00 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 199.95/26.00 inference(resolution,[status(thm)],[f10,f16])).
% 199.95/26.00 fof(f45,plain,(
% 199.95/26.00 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 199.95/26.00 inference(resolution,[status(thm)],[f12,f16])).
% 199.95/26.00 fof(f64,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 199.95/26.00 inference(paramodulation,[status(thm)],[f15,f13])).
% 199.95/26.00 fof(f68,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 199.95/26.00 inference(forward_demodulation,[status(thm)],[f15,f64])).
% 199.95/26.00 fof(f72,plain,(
% 199.95/26.00 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 199.95/26.00 inference(resolution,[status(thm)],[f14,f16])).
% 199.95/26.00 fof(f73,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 199.95/26.00 inference(paramodulation,[status(thm)],[f15,f14])).
% 199.95/26.00 fof(f75,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 199.95/26.00 inference(forward_demodulation,[status(thm)],[f15,f73])).
% 199.95/26.00 fof(f150,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 199.95/26.00 inference(paramodulation,[status(thm)],[f15,f68])).
% 199.95/26.00 fof(f152,plain,(
% 199.95/26.00 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 199.95/26.00 inference(forward_demodulation,[status(thm)],[f15,f150])).
% 199.95/26.00 fof(f182,plain,(
% 199.95/26.00 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 199.95/26.00 inference(resolution,[status(thm)],[f18,f16])).
% 199.95/26.00 fof(f226,plain,(
% 199.95/26.00 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 199.95/26.00 inference(resolution,[status(thm)],[f182,f75])).
% 199.95/26.00 fof(f966,plain,(
% 199.95/26.00 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 199.95/26.00 inference(resolution,[status(thm)],[f226,f18])).
% 166.36/26.03 fof(f2160,plain,(
% 166.36/26.03 ![X0]: (~theorem(implies(X0,implies(implies(p,q),q)))|~theorem(implies(or(p,q),X0)))),
% 166.36/26.03 inference(resolution,[status(thm)],[f966,f19])).
% 166.36/26.03 fof(f5076,plain,(
% 166.36/26.03 ![X0,X1,X2]: (~theorem(implies(or(X0,X1),X2))|theorem(implies(or(X1,X0),X2)))),
% 166.36/26.03 inference(resolution,[status(thm)],[f966,f45])).
% 166.36/26.03 fof(f16909,plain,(
% 166.36/26.03 ![X0,X1]: (theorem(X0)|~axiom(implies(implies(or(X1,X1),X1),X0)))),
% 166.36/26.03 inference(resolution,[status(thm)],[f182,f20])).
% 166.36/26.03 fof(f16915,plain,(
% 166.36/26.03 ![X0,X1,X2,X3]: (theorem(X0)|~axiom(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X0)))),
% 166.36/26.03 inference(resolution,[status(thm)],[f72,f182])).
% 166.36/26.03 fof(f17183,plain,(
% 166.36/26.03 ![X0,X1]: (theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))))),
% 166.36/26.03 inference(resolution,[status(thm)],[f16909,f75])).
% 166.36/26.03 fof(f17240,plain,(
% 166.36/26.03 ![X0,X1,X2]: (theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))))),
% 166.36/26.03 inference(resolution,[status(thm)],[f16915,f152])).
% 166.36/26.03 fof(f19683,plain,(
% 166.36/26.03 ~theorem(implies(or(p,q),implies(implies(p,q),or(q,q))))),
% 166.36/26.03 inference(resolution,[status(thm)],[f17183,f2160])).
% 166.36/26.03 fof(f22592,plain,(
% 166.36/26.03 ~theorem(implies(or(q,p),implies(implies(p,q),or(q,q))))),
% 166.36/26.03 inference(resolution,[status(thm)],[f19683,f5076])).
% 166.36/26.03 fof(f22599,plain,(
% 166.36/26.03 $false),
% 166.36/26.03 inference(forward_subsumption_resolution,[status(thm)],[f22592,f17240])).
% 166.36/26.03 % SZS output end CNFRefutation for theBenchmark.p
% 28.94/26.26 % Elapsed time: 25.693067 seconds
% 28.94/26.26 % CPU time: 202.153962 seconds
% 28.94/26.26 % Total memory used: 1.040 GB
% 28.94/26.26 % Net memory used: 932.863 MB
%------------------------------------------------------------------------------