%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL297-3 : 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 : 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 01:09:48 PM UTC 2026
% Result : Unsatisfiable 0.22s 5.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL297-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.47 % Computer : n017.cluster.edu
% 0.17/5.47 % Model : x86_64 x86_64
% 0.17/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.47 % Memory : 8046.5625MB
% 0.17/5.47 % OS : Linux 6.8.0-71-generic
% 0.17/5.47 % CPULimit : 300
% 0.17/5.47 % WCLimit : 300
% 0.17/5.47 % DateTime : Mon Sep 21 00:14:47 UTC 2026
% 0.17/5.48 % CPUTime :
% 0.17/5.49 % Drodi V4.1.1
% 0.22/5.58 % Refutation found
% 0.22/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/5.58 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.58 fof(f1,axiom,(
% 0.22/5.58 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.58 fof(f2,axiom,(
% 0.22/5.58 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.58 fof(f3,axiom,(
% 0.22/5.58 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.58 fof(f4,axiom,(
% 0.22/5.58 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.58 fof(f6,axiom,(
% 0.22/5.58 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.58 fof(f7,axiom,(
% 0.22/5.58 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.58 fof(f8,axiom,(
% 0.22/5.58 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.22/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.59 fof(f9,axiom,(
% 0.22/5.59 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 0.22/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.59 fof(f10,axiom,(
% 0.22/5.59 (![P,Q]: (equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) ))),
% 0.22/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.59 fof(f11,negated_conjecture,(
% 0.22/5.59 ~ theorem(equivalent(not(implies(p,not(q))),and(p,q))) ),
% 0.22/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.59 fof(f12,plain,(
% 0.22/5.59 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/5.59 fof(f13,plain,(
% 0.22/5.59 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/5.59 fof(f14,plain,(
% 0.22/5.59 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/5.59 fof(f15,plain,(
% 0.22/5.59 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/5.59 fof(f17,plain,(
% 0.22/5.59 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/5.59 fof(f18,plain,(
% 0.22/5.59 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f7])).
% 0.22/5.59 fof(f19,plain,(
% 0.22/5.59 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.22/5.59 inference(miniscoping,[status(thm)],[f8])).
% 0.22/5.59 fof(f20,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f19])).
% 0.22/5.59 fof(f21,plain,(
% 0.22/5.59 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f9])).
% 0.22/5.59 fof(f22,plain,(
% 0.22/5.59 ![X0,X1]: (equivalent(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f10])).
% 0.22/5.59 fof(f23,plain,(
% 0.22/5.59 ~theorem(equivalent(not(implies(p,not(q))),and(p,q)))),
% 0.22/5.59 inference(cnf_transformation,[status(thm)],[f11])).
% 0.22/5.59 fof(f24,plain,(
% 0.22/5.59 ~theorem(equivalent(and(p,q),and(p,q)))),
% 0.22/5.59 inference(backward_demodulation,[status(thm)],[f25,f23])).
% 0.22/5.59 fof(f25,plain,(
% 0.22/5.59 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 0.22/5.59 inference(forward_demodulation,[status(thm)],[f17,f21])).
% 0.22/5.59 fof(f27,plain,(
% 0.22/5.59 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 0.22/5.59 inference(paramodulation,[status(thm)],[f25,f17])).
% 0.22/5.59 fof(f291,plain,(
% 0.22/5.59 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.22/5.59 inference(resolution,[status(thm)],[f12,f18])).
% 0.22/5.59 fof(f295,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f13,f18])).
% 0.22/5.59 fof(f301,plain,(
% 0.22/5.59 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.22/5.59 inference(resolution,[status(thm)],[f291,f20])).
% 0.22/5.59 fof(f303,plain,(
% 0.22/5.59 ![X0]: (theorem(implies(implies(X0,not(X0)),not(X0))))),
% 0.22/5.59 inference(paramodulation,[status(thm)],[f17,f291])).
% 0.22/5.59 fof(f304,plain,(
% 0.22/5.59 ![X0]: (theorem(or(and(X0,X0),not(X0))))),
% 0.22/5.59 inference(forward_demodulation,[status(thm)],[f27,f303])).
% 0.22/5.59 fof(f305,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.22/5.59 inference(resolution,[status(thm)],[f295,f20])).
% 0.22/5.59 fof(f375,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f14,f18])).
% 0.22/5.59 fof(f423,plain,(
% 0.22/5.59 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f15,f18])).
% 0.22/5.59 fof(f455,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.22/5.59 inference(resolution,[status(thm)],[f375,f20])).
% 0.22/5.59 fof(f462,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.22/5.59 inference(paramodulation,[status(thm)],[f17,f375])).
% 0.22/5.59 fof(f507,plain,(
% 0.22/5.59 ![X0]: (theorem(or(not(X0),and(X0,X0))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f455,f304])).
% 0.22/5.59 fof(f512,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.22/5.59 inference(paramodulation,[status(thm)],[f17,f455])).
% 0.22/5.59 fof(f513,plain,(
% 0.22/5.59 ![X0]: (theorem(implies(X0,and(X0,X0))))),
% 0.22/5.59 inference(forward_demodulation,[status(thm)],[f17,f507])).
% 0.22/5.59 fof(f521,plain,(
% 0.22/5.59 ![X0]: (theorem(implies(implies(X0,X0),equivalent(X0,X0))))),
% 0.22/5.59 inference(paramodulation,[status(thm)],[f22,f513])).
% 0.22/5.59 fof(f609,plain,(
% 0.22/5.59 ![X0]: (theorem(equivalent(X0,X0))|~theorem(implies(X0,X0)))),
% 0.22/5.59 inference(resolution,[status(thm)],[f521,f20])).
% 0.22/5.59 fof(f673,plain,(
% 0.22/5.59 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f423,f20])).
% 0.22/5.59 fof(f807,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f462,f20])).
% 0.22/5.59 fof(f864,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f512,f295])).
% 0.22/5.59 fof(f908,plain,(
% 0.22/5.59 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2)))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f864,f305])).
% 0.22/5.59 fof(f2565,plain,(
% 0.22/5.59 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1)))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f673,f908])).
% 0.22/5.59 fof(f2615,plain,(
% 0.22/5.59 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f2565,f455])).
% 0.22/5.59 fof(f2930,plain,(
% 0.22/5.59 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f2615,f673])).
% 0.22/5.59 fof(f3172,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1)))),
% 0.22/5.59 inference(resolution,[status(thm)],[f2930,f301])).
% 0.22/5.59 fof(f3188,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f3172,f455])).
% 0.22/5.59 fof(f3201,plain,(
% 0.22/5.59 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f3188,f673])).
% 0.22/5.59 fof(f3235,plain,(
% 0.22/5.59 ![X0]: (theorem(or(X0,not(X0))))),
% 0.22/5.59 inference(resolution,[status(thm)],[f3201,f301])).
% 0.22/5.59 fof(f3250,plain,(
% 0.22/5.59 ![X0]: (theorem(implies(X0,X0)))),
% 0.22/5.59 inference(resolution,[status(thm)],[f3235,f807])).
% 0.22/5.59 fof(f3264,plain,(
% 0.22/5.59 ![X0]: (theorem(equivalent(X0,X0)))),
% 0.22/5.59 inference(backward_subsumption_resolution,[status(thm)],[f609,f3250])).
% 0.22/5.59 fof(f3280,plain,(
% 0.22/5.59 $false),
% 0.22/5.59 inference(backward_subsumption_resolution,[status(thm)],[f24,f3264])).
% 0.22/5.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.63 % Elapsed time: 0.149472 seconds
% 0.22/5.63 % CPU time: 0.673667 seconds
% 0.22/5.63 % Total memory used: 72.089 MB
% 0.22/5.63 % Net memory used: 71.775 MB
%------------------------------------------------------------------------------