%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:24:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:19:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![X,Y]: (left(X,f(X,Y)) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 n2 = f(n1,n1) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 n3 = f(n2,n1) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 u = f(n2,n2) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f7,negated_conjecture,(
% 0.12/0.38 ~ left(n3,u) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),f(X0,X2)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0,X1]: (left(X0,f(X0,X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 n2=f(n1,n1)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 n3=f(n2,n1)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 u=f(n2,n2)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ~left(n3,u)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 ![X0,X1,X2]: (left(f(X0,X1),f(X0,f(X1,X2))))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.12/0.38 fof(f70,plain,(
% 0.12/0.38 ![X0]: (left(f(X0,n1),f(X0,n2)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f12,f28])).
% 0.12/0.38 fof(f75,plain,(
% 0.12/0.38 left(n3,f(n2,n2))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f13,f70])).
% 0.12/0.38 fof(f77,plain,(
% 0.12/0.38 left(n3,u)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f14,f75])).
% 0.12/0.38 fof(f78,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f77,f15])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.041658 seconds
% 0.12/0.40 % CPU time: 0.125688 seconds
% 0.12/0.40 % Total memory used: 47.753 MB
% 0.12/0.40 % Net memory used: 47.343 MB
%------------------------------------------------------------------------------