%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG002-1 : 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 : n016.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 02:05:05 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 04:14:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.45 fof(f1,axiom,(
% 0.10/0.45 (![X]: (sum(additive_identity,X,X) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f2,axiom,(
% 0.10/0.45 (![X]: (sum(X,additive_identity,X) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f4,axiom,(
% 0.10/0.45 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f5,axiom,(
% 0.10/0.45 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f7,axiom,(
% 0.10/0.45 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W)| sum(X,V,W) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f9,axiom,(
% 0.10/0.45 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f16,axiom,(
% 0.10/0.45 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f18,hypothesis,(
% 0.10/0.45 sum(a,b,d) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f19,hypothesis,(
% 0.10/0.45 sum(a,c,d) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f20,negated_conjecture,(
% 0.10/0.45 b != c ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f21,plain,(
% 0.10/0.45 ![X0]: (sum(additive_identity,X0,X0))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.45 fof(f22,plain,(
% 0.10/0.45 ![X0]: (sum(X0,additive_identity,X0))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.45 fof(f24,plain,(
% 0.10/0.45 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.45 fof(f25,plain,(
% 0.10/0.45 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.45 fof(f27,plain,(
% 0.10/0.45 ![X,V,W]: ((![U,Z]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(U,Z,W)))|sum(X,V,W))),
% 0.10/0.45 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.45 fof(f28,plain,(
% 0.10/0.45 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X2,X3,X5)|sum(X0,X4,X5))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.45 fof(f31,plain,(
% 0.10/0.45 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.45 fof(f44,plain,(
% 0.10/0.45 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.10/0.45 inference(miniscoping,[status(thm)],[f16])).
% 0.10/0.45 fof(f45,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f44])).
% 0.10/0.45 fof(f48,plain,(
% 0.10/0.45 sum(a,b,d)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.45 fof(f49,plain,(
% 0.10/0.45 sum(a,c,d)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.45 fof(f50,plain,(
% 0.10/0.45 ~b=c),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.45 fof(f51,plain,(
% 0.10/0.45 ![X0]: (~sum(a,c,X0)|X0=d)),
% 0.10/0.45 inference(resolution,[status(thm)],[f45,f49])).
% 0.10/0.45 fof(f52,plain,(
% 0.10/0.45 ![X0]: (~sum(a,b,X0)|X0=d)),
% 0.10/0.45 inference(resolution,[status(thm)],[f45,f48])).
% 0.10/0.45 fof(f56,plain,(
% 0.10/0.45 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 0.10/0.45 inference(resolution,[status(thm)],[f45,f22])).
% 0.10/0.45 fof(f57,plain,(
% 0.10/0.45 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(X0,X1))),
% 0.10/0.45 inference(resolution,[status(thm)],[f45,f24])).
% 0.10/0.45 fof(f73,plain,(
% 0.10/0.45 ![X0,X1,X2,X3,X4]: (X0=X1|~sum(X1,X2,X3)|~sum(X2,X4,additive_identity)|~sum(X3,X4,X0))),
% 0.10/0.45 inference(resolution,[status(thm)],[f56,f28])).
% 0.10/0.45 fof(f82,plain,(
% 0.10/0.45 add(a,c)=d),
% 0.10/0.45 inference(resolution,[status(thm)],[f51,f24])).
% 0.10/0.45 fof(f88,plain,(
% 0.10/0.45 add(a,b)=d),
% 0.10/0.45 inference(resolution,[status(thm)],[f52,f24])).
% 0.10/0.45 fof(f124,plain,(
% 0.10/0.45 ![X0,X1,X2]: (X0=add(X1,X2)|~sum(X2,X1,X0))),
% 0.10/0.45 inference(resolution,[status(thm)],[f57,f31])).
% 0.10/0.45 fof(f159,plain,(
% 0.10/0.45 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.10/0.45 inference(resolution,[status(thm)],[f124,f24])).
% 0.10/0.45 fof(f182,plain,(
% 0.10/0.45 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f159,f24])).
% 0.10/0.45 fof(f259,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (X0=X1|~sum(X1,additive_inverse(X2),X3)|~sum(X3,X2,X0))),
% 0.10/0.45 inference(resolution,[status(thm)],[f73,f25])).
% 0.10/0.45 fof(f266,plain,(
% 0.10/0.45 ![X0,X1]: (X0=additive_inverse(additive_inverse(X1))|~sum(additive_identity,X1,X0))),
% 0.10/0.45 inference(resolution,[status(thm)],[f259,f25])).
% 0.10/0.45 fof(f269,plain,(
% 0.10/0.45 ![X0,X1,X2]: (X0=X1|~sum(add(additive_inverse(X2),X1),X2,X0))),
% 0.10/0.45 inference(resolution,[status(thm)],[f259,f182])).
% 0.10/0.45 fof(f275,plain,(
% 0.10/0.45 ![X0]: (X0=additive_inverse(additive_inverse(X0)))),
% 0.10/0.45 inference(resolution,[status(thm)],[f266,f21])).
% 0.10/0.45 fof(f303,plain,(
% 0.10/0.45 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=X1)),
% 0.10/0.45 inference(resolution,[status(thm)],[f269,f182])).
% 0.10/0.45 fof(f325,plain,(
% 0.10/0.45 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=X1)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f275,f303])).
% 0.10/0.45 fof(f454,plain,(
% 0.10/0.45 add(additive_inverse(a),d)=b),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f88,f325])).
% 0.10/0.45 fof(f455,plain,(
% 0.10/0.45 add(additive_inverse(a),d)=c),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f82,f325])).
% 0.10/0.45 fof(f748,plain,(
% 0.10/0.45 b=c),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f454,f455])).
% 0.10/0.45 fof(f749,plain,(
% 0.10/0.45 $false),
% 0.10/0.45 inference(forward_subsumption_resolution,[status(thm)],[f748,f50])).
% 0.10/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.48 % Elapsed time: 0.080225 seconds
% 0.10/0.48 % CPU time: 0.424612 seconds
% 0.10/0.48 % Total memory used: 47.745 MB
% 0.10/0.48 % Net memory used: 47.098 MB
%------------------------------------------------------------------------------