%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL211-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:09:36 PM UTC 2026
% Result : Unsatisfiable 72.27s 9.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL211-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:10:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 72.27/9.54 % Refutation found
% 72.27/9.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 72.27/9.54 % SZS output start CNFRefutation for theBenchmark
% 72.27/9.54 fof(f1,axiom,(
% 72.27/9.54 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f2,axiom,(
% 72.27/9.54 (![A]: (axiom(implies(or(A,A),A)) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f3,axiom,(
% 72.27/9.54 (![A,B]: (axiom(implies(A,or(B,A))) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f4,axiom,(
% 72.27/9.54 (![A,B]: (axiom(implies(or(A,B),or(B,A))) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f5,axiom,(
% 72.27/9.54 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f6,axiom,(
% 72.27/9.54 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f7,axiom,(
% 72.27/9.54 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f8,axiom,(
% 72.27/9.54 (![X]: (ifeq(axiom(X),true,theorem(X),true) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f9,axiom,(
% 72.27/9.54 (![Y,X]: (ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true ))),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f10,negated_conjecture,(
% 72.27/9.54 theorem(implies(not(q),implies(or(p,q),p))) != true ),
% 72.27/9.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.27/9.54 fof(f11,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f1])).
% 72.27/9.54 fof(f12,plain,(
% 72.27/9.54 ![X0]: (axiom(implies(or(X0,X0),X0))=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f2])).
% 72.27/9.54 fof(f13,plain,(
% 72.27/9.54 ![X0,X1]: (axiom(implies(X0,or(X1,X0)))=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f3])).
% 72.27/9.54 fof(f14,plain,(
% 72.27/9.54 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0)))=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f4])).
% 72.27/9.54 fof(f15,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f5])).
% 72.27/9.54 fof(f16,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f6])).
% 72.27/9.54 fof(f17,plain,(
% 72.27/9.54 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f7])).
% 72.27/9.54 fof(f18,plain,(
% 72.27/9.54 ![X0]: (ifeq(axiom(X0),true,theorem(X0),true)=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f8])).
% 72.27/9.54 fof(f19,plain,(
% 72.27/9.54 ![X0,X1]: (ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true)=true)),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f9])).
% 72.27/9.54 fof(f20,plain,(
% 72.27/9.54 ~theorem(implies(not(q),implies(or(p,q),p)))=true),
% 72.27/9.54 inference(cnf_transformation,[status(thm)],[f10])).
% 72.27/9.54 fof(f29,plain,(
% 72.27/9.54 ![X0,X1]: (axiom(implies(implies(X0,X1),or(X1,not(X0))))=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f17,f14])).
% 72.27/9.54 fof(f33,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2))))=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f17,f15])).
% 72.27/9.54 fof(f37,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f17,f33])).
% 72.27/9.54 fof(f43,plain,(
% 72.27/9.54 ![X0,X1]: (ifeq(true,true,theorem(implies(implies(X0,X1),or(X1,not(X0)))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f29,f18])).
% 72.27/9.54 fof(f46,plain,(
% 72.27/9.54 ![X0,X1]: (ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f14,f18])).
% 72.27/9.54 fof(f47,plain,(
% 72.27/9.54 ![X0]: (ifeq(true,true,theorem(implies(or(X0,X0),X0)),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f12,f18])).
% 72.27/9.54 fof(f49,plain,(
% 72.27/9.54 ![X0,X1]: (ifeq(true,true,theorem(implies(X0,or(X1,X0))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f13,f18])).
% 72.27/9.54 fof(f52,plain,(
% 72.27/9.54 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f43])).
% 72.27/9.54 fof(f55,plain,(
% 72.27/9.54 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0)))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f46])).
% 72.27/9.54 fof(f56,plain,(
% 72.27/9.54 ![X0]: (theorem(implies(or(X0,X0),X0))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f47])).
% 72.27/9.54 fof(f58,plain,(
% 72.27/9.54 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f49])).
% 72.27/9.54 fof(f81,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1))))=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f17,f16])).
% 72.27/9.54 fof(f83,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f16,f18])).
% 72.27/9.54 fof(f84,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f17,f81])).
% 72.27/9.54 fof(f86,plain,(
% 72.27/9.54 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f83])).
% 72.27/9.54 fof(f89,plain,(
% 72.27/9.54 ![X0,X1]: (ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(or(X1,not(X0))),true),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f52,f19])).
% 72.27/9.54 fof(f92,plain,(
% 72.27/9.54 ![X0]: (ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f56,f19])).
% 72.27/9.54 fof(f99,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f55,f19])).
% 72.27/9.54 fof(f101,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f58,f19])).
% 72.27/9.54 fof(f113,plain,(
% 72.27/9.54 ![X0,X1]: (ifeq(theorem(implies(X0,X1)),true,theorem(or(X1,not(X0))),true)=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f89])).
% 72.27/9.54 fof(f116,plain,(
% 72.27/9.54 ![X0]: (ifeq(theorem(or(X0,X0)),true,theorem(X0),true)=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f92])).
% 72.27/9.54 fof(f123,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true)=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f99])).
% 72.27/9.54 fof(f125,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true)=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f101])).
% 72.27/9.54 fof(f127,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2))))=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f17,f37])).
% 72.27/9.54 fof(f129,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(true,true,theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f37,f18])).
% 72.27/9.54 fof(f130,plain,(
% 72.27/9.54 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f17,f127])).
% 72.27/9.54 fof(f132,plain,(
% 72.27/9.54 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f129])).
% 72.27/9.54 fof(f348,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(true,true,theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f84,f18])).
% 72.27/9.54 fof(f349,plain,(
% 72.27/9.54 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f348])).
% 72.27/9.54 fof(f350,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(true,true,theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f130,f18])).
% 72.27/9.54 fof(f351,plain,(
% 72.27/9.54 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f350])).
% 72.27/9.54 fof(f555,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(implies(or(X2,X0),or(X2,X1))),true),true)=true)),
% 72.27/9.54 inference(paramodulation,[status(thm)],[f86,f19])).
% 72.27/9.54 fof(f565,plain,(
% 72.27/9.54 ![X0,X1,X2]: (ifeq(theorem(implies(X0,X1)),true,theorem(implies(or(X2,X0),or(X2,X1))),true)=true)),
% 72.27/9.54 inference(forward_demodulation,[status(thm)],[f11,f555])).
% 55.50/9.72 fof(f1267,plain,(
% 55.50/9.72 ![X0,X1,X2]: (ifeq(true,true,theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f349,f123])).
% 55.50/9.72 fof(f1334,plain,(
% 55.50/9.72 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1))))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f1267])).
% 55.50/9.72 fof(f1440,plain,(
% 55.50/9.72 ![X0,X1]: (ifeq(true,true,theorem(or(X0,implies(X1,X1))),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f132,f125])).
% 55.50/9.72 fof(f1506,plain,(
% 55.50/9.72 ![X0,X1]: (theorem(or(X0,implies(X1,X1)))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f1440])).
% 55.50/9.72 fof(f1549,plain,(
% 55.50/9.72 ![X0]: (ifeq(true,true,theorem(implies(X0,X0)),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f1506,f116])).
% 55.50/9.72 fof(f1561,plain,(
% 55.50/9.72 ![X0]: (theorem(implies(X0,X0))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f1549])).
% 55.50/9.72 fof(f1935,plain,(
% 55.50/9.72 ![X0]: (ifeq(true,true,theorem(or(X0,not(X0))),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f1561,f113])).
% 55.50/9.72 fof(f1978,plain,(
% 55.50/9.72 ![X0]: (theorem(or(X0,not(X0)))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f1935])).
% 55.50/9.72 fof(f2038,plain,(
% 55.50/9.72 ![X0]: (theorem(implies(X0,not(not(X0))))=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f17,f1978])).
% 55.50/9.72 fof(f2610,plain,(
% 55.50/9.72 ![X0,X1]: (ifeq(true,true,theorem(implies(or(X0,X1),or(X0,not(not(X1))))),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f2038,f565])).
% 55.50/9.72 fof(f2659,plain,(
% 55.50/9.72 ![X0,X1]: (theorem(implies(or(X0,X1),or(X0,not(not(X1)))))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f2610])).
% 55.50/9.72 fof(f4226,plain,(
% 55.50/9.72 ![X0,X1,X2]: (ifeq(true,true,ifeq(theorem(implies(X0,implies(X1,X2))),true,theorem(implies(X1,implies(X0,X2))),true),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f351,f19])).
% 55.50/9.72 fof(f4249,plain,(
% 55.50/9.72 ![X0,X1,X2]: (ifeq(theorem(implies(X0,implies(X1,X2))),true,theorem(implies(X1,implies(X0,X2))),true)=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f4226])).
% 55.50/9.72 fof(f9533,plain,(
% 55.50/9.72 ![X0,X1,X2]: (ifeq(true,true,ifeq(theorem(implies(X0,or(X1,X2))),true,theorem(implies(X0,or(X2,X1))),true),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f1334,f19])).
% 55.50/9.72 fof(f9563,plain,(
% 55.50/9.72 ![X0,X1,X2]: (ifeq(theorem(implies(X0,or(X1,X2))),true,theorem(implies(X0,or(X2,X1))),true)=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f9533])).
% 55.50/9.72 fof(f113306,plain,(
% 55.50/9.72 ![X0,X1]: (ifeq(true,true,theorem(implies(or(X0,X1),or(not(not(X1)),X0))),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f2659,f9563])).
% 55.50/9.72 fof(f113604,plain,(
% 55.50/9.72 ![X0,X1]: (theorem(implies(or(X0,X1),or(not(not(X1)),X0)))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f113306])).
% 55.50/9.72 fof(f113605,plain,(
% 55.50/9.72 ![X0,X1]: (theorem(implies(or(X0,X1),implies(not(X1),X0)))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f17,f113604])).
% 55.50/9.72 fof(f114195,plain,(
% 55.50/9.72 ![X0,X1]: (ifeq(true,true,theorem(implies(not(X0),implies(or(X1,X0),X1))),true)=true)),
% 55.50/9.72 inference(paramodulation,[status(thm)],[f113605,f4249])).
% 55.50/9.72 fof(f114258,plain,(
% 55.50/9.72 ~true=true),
% 55.50/9.72 inference(backward_demodulation,[status(thm)],[f114259,f20])).
% 55.50/9.72 fof(f114259,plain,(
% 55.50/9.72 ![X0,X1]: (theorem(implies(not(X0),implies(or(X1,X0),X1)))=true)),
% 55.50/9.72 inference(forward_demodulation,[status(thm)],[f11,f114195])).
% 55.50/9.72 fof(f114269,plain,(
% 55.50/9.72 $false),
% 55.50/9.72 inference(trivial_equality_resolution,[status(thm)],[f114258])).
% 55.50/9.72 % SZS output end CNFRefutation for theBenchmark.p
% 55.50/9.77 % Elapsed time: 9.400352 seconds
% 55.50/9.77 % CPU time: 74.313591 seconds
% 55.50/9.77 % Total memory used: 890.856 MB
% 55.50/9.77 % Net memory used: 871.038 MB
%------------------------------------------------------------------------------