%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL311-3 : 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 : n016.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 01:09:49 PM UTC 2026
% Result : Unsatisfiable 4.62s 1.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL311-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % Computer : n016.cluster.edu
% 0.19/0.50 % Model : x86_64 x86_64
% 0.19/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.50 % Memory : 8046.5625MB
% 0.19/0.50 % OS : Linux 6.8.0-71-generic
% 0.19/0.50 % CPULimit : 300
% 0.19/0.50 % WCLimit : 300
% 0.19/0.50 % DateTime : Mon Sep 21 00:24:52 UTC 2026
% 0.19/0.50 % CPUTime :
% 0.24/0.52 % Drodi V4.1.1
% 4.62/1.71 % Refutation found
% 4.62/1.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.62/1.71 % SZS output start CNFRefutation for theBenchmark
% 4.62/1.71 fof(f1,axiom,(
% 4.62/1.71 (![A]: (axiom(implies(or(A,A),A)) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f2,axiom,(
% 4.62/1.71 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f3,axiom,(
% 4.62/1.71 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f4,axiom,(
% 4.62/1.71 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f6,axiom,(
% 4.62/1.71 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f7,axiom,(
% 4.62/1.71 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f8,axiom,(
% 4.62/1.71 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f9,axiom,(
% 4.62/1.71 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f10,axiom,(
% 4.62/1.71 (![P,Q]: (equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) ))),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f11,negated_conjecture,(
% 4.62/1.71 ~ theorem(equivalent(implies(p,not(p)),not(p))) ),
% 4.62/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/1.71 fof(f12,plain,(
% 4.62/1.71 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f1])).
% 4.62/1.71 fof(f13,plain,(
% 4.62/1.71 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f2])).
% 4.62/1.71 fof(f14,plain,(
% 4.62/1.71 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f3])).
% 4.62/1.71 fof(f15,plain,(
% 4.62/1.71 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f4])).
% 4.62/1.71 fof(f17,plain,(
% 4.62/1.71 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f6])).
% 4.62/1.71 fof(f18,plain,(
% 4.62/1.71 ![X0]: (theorem(X0)|~axiom(X0))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f7])).
% 4.62/1.71 fof(f19,plain,(
% 4.62/1.71 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 4.62/1.71 inference(miniscoping,[status(thm)],[f8])).
% 4.62/1.71 fof(f20,plain,(
% 4.62/1.71 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f19])).
% 4.62/1.71 fof(f21,plain,(
% 4.62/1.71 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f9])).
% 4.62/1.71 fof(f22,plain,(
% 4.62/1.71 ![X0,X1]: (equivalent(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f10])).
% 4.62/1.71 fof(f23,plain,(
% 4.62/1.71 ~theorem(equivalent(implies(p,not(p)),not(p)))),
% 4.62/1.71 inference(cnf_transformation,[status(thm)],[f11])).
% 4.62/1.71 fof(f24,plain,(
% 4.62/1.71 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 4.62/1.71 inference(resolution,[status(thm)],[f12,f18])).
% 4.62/1.71 fof(f26,plain,(
% 4.62/1.71 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 4.62/1.71 inference(resolution,[status(thm)],[f13,f18])).
% 4.62/1.71 fof(f31,plain,(
% 4.62/1.71 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 4.62/1.71 inference(paramodulation,[status(thm)],[f17,f26])).
% 4.62/1.71 fof(f32,plain,(
% 4.62/1.71 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 4.62/1.71 inference(resolution,[status(thm)],[f14,f18])).
% 4.62/1.71 fof(f35,plain,(
% 4.62/1.71 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 4.62/1.71 inference(resolution,[status(thm)],[f15,f18])).
% 4.62/1.71 fof(f55,plain,(
% 4.62/1.71 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 4.62/1.71 inference(paramodulation,[status(thm)],[f17,f32])).
% 4.62/1.71 fof(f56,plain,(
% 4.62/1.71 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 4.62/1.71 inference(paramodulation,[status(thm)],[f17,f32])).
% 4.62/1.71 fof(f61,plain,(
% 4.62/1.71 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 4.62/1.71 inference(forward_demodulation,[status(thm)],[f17,f21])).
% 4.62/1.71 fof(f66,plain,(
% 4.62/1.71 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 4.62/1.71 inference(paramodulation,[status(thm)],[f61,f17])).
% 4.62/1.71 fof(f72,plain,(
% 4.62/1.71 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 4.62/1.71 inference(resolution,[status(thm)],[f35,f20])).
% 4.62/1.71 fof(f134,plain,(
% 4.62/1.73 ![X0,X1,X2,X3]: (implies(or(and(X0,X1),not(X2)),X3)=or(and(implies(X0,not(X1)),X2),X3))),
% 4.62/1.73 inference(paramodulation,[status(thm)],[f66,f66])).
% 4.62/1.73 fof(f137,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(or(and(X0,X1),or(not(X1),not(X0)))))),
% 4.62/1.73 inference(paramodulation,[status(thm)],[f66,f55])).
% 4.62/1.73 fof(f166,plain,(
% 4.62/1.73 ![X0,X1,X2]: (equivalent(implies(X0,not(X1)),X2)=and(or(and(X0,X1),X2),implies(X2,implies(X0,not(X1)))))),
% 4.62/1.73 inference(paramodulation,[status(thm)],[f66,f22])).
% 4.62/1.73 fof(f167,plain,(
% 4.62/1.73 ![X0,X1,X2]: (theorem(X0)|~theorem(or(and(X1,X2),X0))|~theorem(implies(X1,not(X2))))),
% 4.62/1.73 inference(paramodulation,[status(thm)],[f66,f20])).
% 4.62/1.73 fof(f168,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(or(and(X0,X1),implies(X1,not(X0)))))),
% 4.62/1.73 inference(forward_demodulation,[status(thm)],[f17,f137])).
% 4.62/1.73 fof(f194,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 4.62/1.73 inference(resolution,[status(thm)],[f56,f20])).
% 4.62/1.73 fof(f233,plain,(
% 4.62/1.73 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 4.62/1.73 inference(paramodulation,[status(thm)],[f17,f72])).
% 4.62/1.73 fof(f235,plain,(
% 4.62/1.73 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 4.62/1.73 inference(forward_demodulation,[status(thm)],[f17,f233])).
% 4.62/1.73 fof(f1401,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(X0)|~theorem(or(and(or(not(X1),not(X1)),X1),X0)))),
% 4.62/1.73 inference(resolution,[status(thm)],[f167,f24])).
% 4.62/1.73 fof(f1410,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(X0)|~theorem(or(and(implies(X1,not(X1)),X1),X0)))),
% 4.62/1.73 inference(forward_demodulation,[status(thm)],[f17,f1401])).
% 4.62/1.73 fof(f1411,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(X0)|~theorem(implies(or(and(X1,X1),not(X1)),X0)))),
% 4.62/1.73 inference(forward_demodulation,[status(thm)],[f134,f1410])).
% 4.62/1.73 fof(f1844,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(implies(X0,or(and(X1,X0),not(X1)))))),
% 4.62/1.73 inference(resolution,[status(thm)],[f235,f168])).
% 4.62/1.73 fof(f1863,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(or(and(X0,X1),not(X0)))|~theorem(X1))),
% 4.62/1.73 inference(resolution,[status(thm)],[f1844,f20])).
% 4.62/1.73 fof(f1904,plain,(
% 4.62/1.73 ![X0,X1]: (~theorem(X0)|theorem(implies(X1,and(X1,X0))))),
% 4.62/1.73 inference(resolution,[status(thm)],[f1863,f194])).
% 4.62/1.73 fof(f4460,plain,(
% 4.62/1.73 ![X0,X1]: (theorem(and(or(and(X0,X0),not(X0)),X1))|~theorem(X1))),
% 4.62/1.73 inference(resolution,[status(thm)],[f1411,f1904])).
% 4.62/1.73 fof(f7462,plain,(
% 4.62/1.73 ![X0]: (theorem(equivalent(implies(X0,not(X0)),not(X0)))|~theorem(implies(not(X0),implies(X0,not(X0)))))),
% 4.62/1.73 inference(paramodulation,[status(thm)],[f166,f4460])).
% 4.62/1.73 fof(f7485,plain,(
% 4.62/1.73 ![X0]: (theorem(equivalent(implies(X0,not(X0)),not(X0))))),
% 4.62/1.73 inference(forward_subsumption_resolution,[status(thm)],[f7462,f31])).
% 4.62/1.73 fof(f8035,plain,(
% 4.62/1.73 $false),
% 4.62/1.73 inference(backward_subsumption_resolution,[status(thm)],[f23,f7485])).
% 4.62/1.73 % SZS output end CNFRefutation for theBenchmark.p
% 4.62/1.76 % Elapsed time: 1.228770 seconds
% 4.62/1.76 % CPU time: 9.425519 seconds
% 4.62/1.76 % Total memory used: 155.609 MB
% 4.62/1.76 % Net memory used: 151.546 MB
%------------------------------------------------------------------------------