%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL186-10 : 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 : n002.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 01:09:31 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL186-10 : 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 : n002.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 00:12:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (![A,B]: (axiom(or(not(A),or(B,A))) = true ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) = true ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f7,axiom,(
% 0.09/0.37 (![X]: (ifeq(axiom(X),true,theorem(X),true) = true ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,axiom,(
% 0.09/0.37 (![Y,Z,X]: (ifeq(theorem(or(not(Y),Z)),true,ifeq(axiom(or(not(X),Y)),true,theorem(or(not(X),Z)),true),true) = true ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f10,negated_conjecture,(
% 0.09/0.37 theorem(or(not(not(p)),or(not(p),q))) != true ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ![X0,X1]: (axiom(or(not(X0),or(X1,X0)))=true)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0)))=true)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 ![X0]: (ifeq(axiom(X0),true,theorem(X0),true)=true)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0,X1,X2]: (ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true)=true)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 ~theorem(or(not(not(p)),or(not(p),q)))=true),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 ![X0,X1,X2]: (ifeq(theorem(or(not(or(X0,X1)),X2)),true,ifeq(true,true,theorem(or(not(X1),X2)),true),true)=true)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f13,f19])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 ![X0,X1,X2]: (ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true)=true)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f11,f34])).
% 0.09/0.37 fof(f50,plain,(
% 0.09/0.37 ![X0,X1]: (ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true)=true)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f14,f17])).
% 0.09/0.37 fof(f53,plain,(
% 0.09/0.37 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(X1,X0)))=true)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f11,f50])).
% 0.09/0.37 fof(f114,plain,(
% 0.09/0.37 ![X0,X1]: (ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true)=true)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f53,f37])).
% 0.09/0.37 fof(f122,plain,(
% 0.09/0.37 ~true=true),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f123,f20])).
% 0.09/0.37 fof(f123,plain,(
% 0.09/0.37 ![X0,X1]: (theorem(or(not(X0),or(X0,X1)))=true)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f11,f114])).
% 0.09/0.37 fof(f128,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(trivial_equality_resolution,[status(thm)],[f122])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 3.75/1.60 % Elapsed time: 1.024028 seconds
% 3.75/1.60 % CPU time: 0.042770 seconds
% 3.75/1.60 % Total memory used: 2.057 MB
% 3.75/1.60 % Net memory used: 1.976 MB
%------------------------------------------------------------------------------