%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LDA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:24:41 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Mon Sep 21 01:18:16 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.39 fof(f1,axiom,(
% 0.02/0.39 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ))),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f2,axiom,(
% 0.02/0.39 n2 = f(n1,n1) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f3,axiom,(
% 0.02/0.39 n3 = f(n2,n1) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f4,axiom,(
% 0.02/0.39 u = f(n2,n2) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f5,negated_conjecture,(
% 0.02/0.39 f(f(n3,n2),u) != f(f(u,u),u) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f6,plain,(
% 0.02/0.39 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),f(X0,X2)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.39 fof(f7,plain,(
% 0.02/0.39 n2=f(n1,n1)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.39 fof(f8,plain,(
% 0.02/0.39 n3=f(n2,n1)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.39 fof(f9,plain,(
% 0.02/0.39 u=f(n2,n2)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.39 fof(f10,plain,(
% 0.02/0.39 ~f(f(n3,n2),u)=f(f(u,u),u)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.02/0.39 fof(f19,plain,(
% 0.02/0.39 ![X0]: (f(n2,f(n1,X0))=f(n3,f(n2,X0)))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f8,f6])).
% 0.02/0.39 fof(f20,plain,(
% 0.02/0.39 ![X0]: (f(n2,f(X0,n2))=f(f(n2,X0),u))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.02/0.39 fof(f129,plain,(
% 0.02/0.39 f(n2,f(n2,n2))=f(u,u)),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f9,f20])).
% 0.02/0.39 fof(f139,plain,(
% 0.02/0.39 ~f(f(n3,n2),u)=f(f(n2,u),u)),
% 0.02/0.39 inference(backward_demodulation,[status(thm)],[f140,f10])).
% 0.02/0.39 fof(f140,plain,(
% 0.02/0.39 f(n2,u)=f(u,u)),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f9,f129])).
% 0.02/0.39 fof(f154,plain,(
% 0.02/0.39 ~f(f(n3,n2),u)=f(n2,f(u,n2))),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f20,f139])).
% 0.02/0.39 fof(f155,plain,(
% 0.02/0.39 f(n2,n2)=f(n3,f(n2,n1))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f7,f19])).
% 0.02/0.39 fof(f160,plain,(
% 0.02/0.39 ![X0]: (f(n1,f(X0,n1))=f(f(n1,X0),n2))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f7,f6])).
% 0.02/0.39 fof(f161,plain,(
% 0.02/0.39 ![X0]: (f(n1,f(n1,X0))=f(n2,f(n1,X0)))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f7,f6])).
% 0.02/0.39 fof(f162,plain,(
% 0.02/0.39 u=f(n3,f(n2,n1))),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f9,f155])).
% 0.02/0.39 fof(f163,plain,(
% 0.02/0.39 u=f(n3,n3)),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f8,f162])).
% 0.02/0.39 fof(f170,plain,(
% 0.02/0.39 ![X0]: (f(n1,f(n1,X0))=f(n3,f(n2,X0)))),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f19,f161])).
% 0.02/0.39 fof(f176,plain,(
% 0.02/0.39 ![X0]: (f(n3,f(X0,n3))=f(f(n3,X0),u))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f163,f6])).
% 0.02/0.39 fof(f180,plain,(
% 0.02/0.39 ~f(n3,f(n2,n3))=f(n2,f(u,n2))),
% 0.02/0.39 inference(backward_demodulation,[status(thm)],[f176,f154])).
% 0.02/0.39 fof(f236,plain,(
% 0.02/0.39 f(n1,n2)=f(n3,f(n2,n1))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f7,f170])).
% 0.02/0.39 fof(f248,plain,(
% 0.02/0.39 f(n1,n2)=f(n3,n3)),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f8,f236])).
% 0.02/0.39 fof(f249,plain,(
% 0.02/0.39 f(n1,n2)=u),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f163,f248])).
% 0.02/0.39 fof(f334,plain,(
% 0.02/0.39 f(n1,f(n2,n1))=f(u,n2)),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f249,f160])).
% 0.02/0.39 fof(f343,plain,(
% 0.02/0.39 ~f(n3,f(n2,n3))=f(n2,f(n1,n3))),
% 0.02/0.39 inference(backward_demodulation,[status(thm)],[f346,f180])).
% 0.02/0.39 fof(f346,plain,(
% 0.02/0.39 f(n1,n3)=f(u,n2)),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f8,f334])).
% 0.02/0.39 fof(f351,plain,(
% 0.02/0.39 ~f(n3,f(n2,n3))=f(n3,f(n2,n3))),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f19,f343])).
% 0.02/0.39 fof(f352,plain,(
% 0.02/0.39 $false),
% 0.02/0.39 inference(trivial_equality_resolution,[status(thm)],[f351])).
% 0.02/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.41 % Elapsed time: 0.035166 seconds
% 0.02/0.41 % CPU time: 0.093043 seconds
% 0.02/0.41 % Total memory used: 5.324 MB
% 0.02/0.41 % Net memory used: 5.314 MB
%------------------------------------------------------------------------------