%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ROB016-1 : 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 : 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 02:06:36 PM UTC 2026
% Result : Unsatisfiable 6.98s 1.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ROB016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n002.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Mon Sep 21 04:26:16 UTC 2026
% 0.18/0.49 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 6.98/1.55 % Refutation found
% 6.98/1.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.98/1.55 % SZS output start CNFRefutation for theBenchmark
% 6.98/1.55 fof(f3,axiom,(
% 6.98/1.55 (![X,Y]: (negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X ))),
% 6.98/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.98/1.55 fof(f8,hypothesis,(
% 6.98/1.55 negate(add(d,e)) = negate(e) ),
% 6.98/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.98/1.55 fof(f9,axiom,(
% 6.98/1.55 positive_integer(k) ),
% 6.98/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.98/1.55 fof(f10,axiom,(
% 6.98/1.55 (![Y,X,Vk]: (( negate(add(negate(Y),negate(add(X,negate(Y))))) != X| ~ positive_integer(Vk)| negate(add(Y,multiply(Vk,add(X,negate(add(X,negate(Y))))))) = negate(Y) ) ))),
% 6.98/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.98/1.55 fof(f11,negated_conjecture,(
% 6.98/1.55 negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e) ),
% 6.98/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.98/1.55 fof(f14,plain,(
% 6.98/1.55 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))=X0)),
% 6.98/1.56 inference(cnf_transformation,[status(thm)],[f3])).
% 6.98/1.56 fof(f20,plain,(
% 6.98/1.56 negate(add(d,e))=negate(e)),
% 6.98/1.56 inference(cnf_transformation,[status(thm)],[f8])).
% 6.98/1.56 fof(f21,plain,(
% 6.98/1.56 positive_integer(k)),
% 6.98/1.56 inference(cnf_transformation,[status(thm)],[f9])).
% 6.98/1.56 fof(f22,plain,(
% 6.98/1.56 ![X0,X1,X2]: (~negate(add(negate(X0),negate(add(X1,negate(X0)))))=X1|~positive_integer(X2)|negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0)))))))=negate(X0))),
% 6.98/1.56 inference(cnf_transformation,[status(thm)],[f10])).
% 6.98/1.56 fof(f23,plain,(
% 6.98/1.56 ~negate(add(e,multiply(k,add(d,negate(add(d,negate(e)))))))=negate(e)),
% 6.98/1.56 inference(cnf_transformation,[status(thm)],[f11])).
% 6.98/1.56 fof(f95,plain,(
% 6.98/1.56 negate(add(negate(e),negate(add(d,negate(e)))))=d),
% 6.98/1.56 inference(paramodulation,[status(thm)],[f20,f14])).
% 6.98/1.56 fof(f98,plain,(
% 6.98/1.56 ![X0,X1]: (~negate(add(negate(X0),negate(add(X1,negate(X0)))))=X1|negate(add(X0,multiply(k,add(X1,negate(add(X1,negate(X0)))))))=negate(X0))),
% 6.98/1.56 inference(resolution,[status(thm)],[f22,f21])).
% 6.98/1.56 fof(f1253,plain,(
% 6.98/1.56 negate(add(e,multiply(k,add(d,negate(add(d,negate(e)))))))=negate(e)),
% 6.98/1.56 inference(resolution,[status(thm)],[f98,f95])).
% 6.98/1.56 fof(f1289,plain,(
% 6.98/1.56 $false),
% 6.98/1.56 inference(forward_subsumption_resolution,[status(thm)],[f1253,f23])).
% 6.98/1.56 % SZS output end CNFRefutation for theBenchmark.p
% 6.04/1.57 % Elapsed time: 1.064199 seconds
% 6.04/1.57 % CPU time: 7.936333 seconds
% 6.04/1.57 % Total memory used: 99.288 MB
% 6.04/1.57 % Net memory used: 98.545 MB
%------------------------------------------------------------------------------