%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ROB009-1 : 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 : n019.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 02:06:35 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:23:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X,Y,Z]: (add(add(X,Y),Z) = add(X,add(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y]: (negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,hypothesis,(
% 0.12/0.39 negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,negated_conjecture,(
% 0.12/0.39 a != b ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,plain,(
% 0.12/0.39 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f7,plain,(
% 0.12/0.39 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X0,add(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f8,plain,(
% 0.12/0.39 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f9,plain,(
% 0.12/0.39 negate(add(a,negate(add(b,c))))=negate(add(b,negate(add(a,c))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ~a=b),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X0,X2)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X1,add(X0,X2)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f7,f18])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 negate(add(negate(add(b,add(a,c))),negate(add(a,negate(add(b,c))))))=b),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 ![X0,X1,X2]: (negate(add(negate(add(X0,add(X1,X2))),negate(add(X1,negate(add(X0,X2))))))=X1)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f24,f8])).
% 0.12/0.39 fof(f347,plain,(
% 0.12/0.39 a=b),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f289,f240])).
% 0.12/0.39 fof(f378,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f347,f10])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.053935 seconds
% 0.12/0.41 % CPU time: 0.308048 seconds
% 0.12/0.41 % Total memory used: 8.607 MB
% 0.12/0.41 % Net memory used: 8.476 MB
%------------------------------------------------------------------------------