%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL143-1 : 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 01:09:26 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n003.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 00:09:00 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.27/0.51 % Refutation found
% 0.27/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.51 fof(f1,axiom,(
% 0.27/0.51 (![X]: (implies(truth,X) = X ))),
% 0.27/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.51 fof(f2,axiom,(
% 0.27/0.51 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.27/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.51 fof(f7,axiom,(
% 0.27/0.51 (![X,Y]: (( ~ ordered(X,Y)| implies(X,Y) = truth ) ))),
% 0.27/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.51 fof(f8,axiom,(
% 0.27/0.51 (![X,Y]: (( implies(X,Y) != truth| ordered(X,Y) ) ))),
% 0.27/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.51 fof(f9,negated_conjecture,(
% 0.27/0.51 ordered(x,y) ),
% 0.27/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.51 fof(f10,negated_conjecture,(
% 0.27/0.51 ~ ordered(implies(z,x),implies(z,y)) ),
% 0.27/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.51 fof(f11,plain,(
% 0.27/0.51 ![X0]: (implies(truth,X0)=X0)),
% 0.27/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.27/0.51 fof(f12,plain,(
% 0.27/0.51 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.27/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.51 fof(f17,plain,(
% 0.27/0.51 ![X0,X1]: (~ordered(X0,X1)|implies(X0,X1)=truth)),
% 0.27/0.51 inference(cnf_transformation,[status(thm)],[f7])).
% 0.27/0.51 fof(f18,plain,(
% 0.27/0.51 ![X0,X1]: (~implies(X0,X1)=truth|ordered(X0,X1))),
% 0.27/0.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.27/0.51 fof(f19,plain,(
% 0.27/0.51 ordered(x,y)),
% 0.27/0.51 inference(cnf_transformation,[status(thm)],[f9])).
% 0.27/0.51 fof(f20,plain,(
% 0.27/0.51 ~ordered(implies(z,x),implies(z,y))),
% 0.27/0.51 inference(cnf_transformation,[status(thm)],[f10])).
% 0.27/0.51 fof(f22,plain,(
% 0.27/0.51 implies(x,y)=truth),
% 0.27/0.51 inference(resolution,[status(thm)],[f17,f19])).
% 0.27/0.51 fof(f28,plain,(
% 0.27/0.51 ![X0]: (implies(implies(X0,x),implies(truth,implies(X0,y)))=truth)),
% 0.27/0.51 inference(paramodulation,[status(thm)],[f22,f12])).
% 0.27/0.51 fof(f39,plain,(
% 0.27/0.51 ![X0]: (implies(implies(X0,x),implies(X0,y))=truth)),
% 0.27/0.51 inference(forward_demodulation,[status(thm)],[f11,f28])).
% 0.27/0.51 fof(f182,plain,(
% 0.27/0.51 ~implies(implies(z,x),implies(z,y))=truth),
% 0.27/0.51 inference(resolution,[status(thm)],[f20,f18])).
% 0.27/0.51 fof(f183,plain,(
% 0.27/0.51 ~truth=truth),
% 0.27/0.51 inference(forward_demodulation,[status(thm)],[f39,f182])).
% 0.27/0.51 fof(f184,plain,(
% 0.27/0.51 $false),
% 0.27/0.51 inference(trivial_equality_resolution,[status(thm)],[f183])).
% 0.27/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.54 % Elapsed time: 0.087139 seconds
% 0.27/0.54 % CPU time: 0.321575 seconds
% 0.27/0.54 % Total memory used: 69.974 MB
% 0.27/0.54 % Net memory used: 69.445 MB
%------------------------------------------------------------------------------