%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL246-3 : 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 : n014.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 01:09:43 PM UTC 2026
% Result : Unsatisfiable 137.76s 18.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL246-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n014.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 00:14:51 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.59 % Drodi V4.1.1
% 137.76/18.07 % Refutation found
% 137.76/18.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 137.76/18.07 % SZS output start CNFRefutation for theBenchmark
% 137.76/18.07 fof(f1,axiom,(
% 137.76/18.07 (![A]: (axiom(implies(or(A,A),A)) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f2,axiom,(
% 137.76/18.07 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f3,axiom,(
% 137.76/18.07 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f4,axiom,(
% 137.76/18.07 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f5,axiom,(
% 137.76/18.07 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f6,axiom,(
% 137.76/18.07 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f7,axiom,(
% 137.76/18.07 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f8,axiom,(
% 137.76/18.07 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f9,axiom,(
% 137.76/18.07 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f10,negated_conjecture,(
% 137.76/18.07 ~ theorem(implies(and(p,implies(p,q)),q)) ),
% 137.76/18.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.76/18.07 fof(f11,plain,(
% 137.76/18.07 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f1])).
% 137.76/18.07 fof(f12,plain,(
% 137.76/18.07 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f2])).
% 137.76/18.07 fof(f13,plain,(
% 137.76/18.07 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f3])).
% 137.76/18.07 fof(f14,plain,(
% 137.76/18.07 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f4])).
% 137.76/18.07 fof(f15,plain,(
% 137.76/18.07 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f5])).
% 137.76/18.07 fof(f16,plain,(
% 137.76/18.07 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f6])).
% 137.76/18.07 fof(f17,plain,(
% 137.76/18.07 ![X0]: (theorem(X0)|~axiom(X0))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f7])).
% 137.76/18.07 fof(f18,plain,(
% 137.76/18.07 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 137.76/18.07 inference(miniscoping,[status(thm)],[f8])).
% 137.76/18.07 fof(f19,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f18])).
% 137.76/18.07 fof(f20,plain,(
% 137.76/18.07 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f9])).
% 137.76/18.07 fof(f21,plain,(
% 137.76/18.07 ~theorem(implies(and(p,implies(p,q)),q))),
% 137.76/18.07 inference(cnf_transformation,[status(thm)],[f10])).
% 137.76/18.07 fof(f22,plain,(
% 137.76/18.07 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 137.76/18.07 inference(resolution,[status(thm)],[f11,f17])).
% 137.76/18.07 fof(f23,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 137.76/18.07 inference(resolution,[status(thm)],[f12,f17])).
% 137.76/18.07 fof(f24,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 137.76/18.07 inference(resolution,[status(thm)],[f13,f17])).
% 137.76/18.07 fof(f32,plain,(
% 137.76/18.07 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 137.76/18.07 inference(resolution,[status(thm)],[f19,f22])).
% 137.76/18.07 fof(f34,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 137.76/18.07 inference(resolution,[status(thm)],[f19,f23])).
% 137.76/18.07 fof(f36,plain,(
% 137.76/18.07 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 137.76/18.07 inference(resolution,[status(thm)],[f14,f17])).
% 137.76/18.07 fof(f51,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 137.76/18.07 inference(resolution,[status(thm)],[f24,f19])).
% 137.76/18.07 fof(f54,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 137.76/18.07 inference(paramodulation,[status(thm)],[f16,f24])).
% 137.76/18.07 fof(f55,plain,(
% 137.76/18.07 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 137.76/18.07 inference(paramodulation,[status(thm)],[f16,f24])).
% 137.76/18.07 fof(f74,plain,(
% 137.76/18.07 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 137.76/18.07 inference(resolution,[status(thm)],[f15,f17])).
% 137.76/18.07 fof(f95,plain,(
% 137.76/18.07 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 61.24/18.18 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 61.24/18.18 fof(f133,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 61.24/18.18 inference(paramodulation,[status(thm)],[f16,f51])).
% 61.24/18.18 fof(f180,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f36,f19])).
% 61.24/18.18 fof(f203,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f55,f19])).
% 61.24/18.18 fof(f214,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f133,f23])).
% 61.24/18.18 fof(f262,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f214,f34])).
% 61.24/18.18 fof(f317,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 61.24/18.18 inference(resolution,[status(thm)],[f74,f19])).
% 61.24/18.18 fof(f939,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f180,f262])).
% 61.24/18.18 fof(f945,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 61.24/18.18 inference(paramodulation,[status(thm)],[f16,f180])).
% 61.24/18.18 fof(f947,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 61.24/18.18 inference(forward_demodulation,[status(thm)],[f16,f945])).
% 61.24/18.18 fof(f967,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f939,f51])).
% 61.24/18.18 fof(f1231,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f967,f180])).
% 61.24/18.18 fof(f1321,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 61.24/18.18 inference(resolution,[status(thm)],[f1231,f32])).
% 61.24/18.18 fof(f1333,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f1321,f51])).
% 61.24/18.18 fof(f1342,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f1333,f180])).
% 61.24/18.18 fof(f1366,plain,(
% 61.24/18.18 ![X0]: (theorem(or(X0,not(X0))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f1342,f32])).
% 61.24/18.18 fof(f1383,plain,(
% 61.24/18.18 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 61.24/18.18 inference(paramodulation,[status(thm)],[f16,f1366])).
% 61.24/18.18 fof(f1712,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f317,f54])).
% 61.24/18.18 fof(f1718,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(implies(or(X0,X1),or(X0,not(not(X1))))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f317,f1383])).
% 61.24/18.18 fof(f6018,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,implies(implies(X1,X0),not(X1)))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f947,f54])).
% 61.24/18.18 fof(f8489,plain,(
% 61.24/18.18 ![X0,X1,X2]: (theorem(or(X0,or(X1,not(X2))))|~theorem(or(X0,implies(X2,X1))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f1712,f19])).
% 61.24/18.18 fof(f63271,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,not(not(X1))))|~theorem(or(X0,X1)))),
% 61.24/18.18 inference(resolution,[status(thm)],[f1718,f19])).
% 61.24/18.18 fof(f200436,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,or(not(X1),not(implies(X1,X0))))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f8489,f6018])).
% 61.24/18.18 fof(f200581,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,implies(X1,not(implies(X1,X0))))))),
% 61.24/18.18 inference(forward_demodulation,[status(thm)],[f16,f200436])).
% 61.24/18.18 fof(f200849,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,not(not(implies(X1,not(implies(X1,X0))))))))),
% 61.24/18.18 inference(resolution,[status(thm)],[f200581,f63271])).
% 61.24/18.18 fof(f200962,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(or(X0,not(and(X1,implies(X1,X0))))))),
% 61.24/18.18 inference(forward_demodulation,[status(thm)],[f95,f200849])).
% 61.24/18.18 fof(f205287,plain,(
% 61.24/18.18 ![X0,X1]: (theorem(implies(and(X0,implies(X0,X1)),X1)))),
% 61.24/18.18 inference(resolution,[status(thm)],[f200962,f203])).
% 61.24/18.18 fof(f205407,plain,(
% 61.24/18.18 $false),
% 61.24/18.18 inference(backward_subsumption_resolution,[status(thm)],[f21,f205287])).
% 61.24/18.18 % SZS output end CNFRefutation for theBenchmark.p
% 30.49/18.27 % Elapsed time: 17.656132 seconds
% 30.49/18.27 % CPU time: 139.311357 seconds
% 30.49/18.27 % Total memory used: 883.676 MB
% 30.49/18.27 % Net memory used: 837.861 MB
%------------------------------------------------------------------------------