%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG005-1 : 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 : n020.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 11.10s 1.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:10:48 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 11.10/1.91 % Refutation found
% 11.10/1.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.10/1.91 % SZS output start CNFRefutation for theBenchmark
% 11.10/1.91 fof(f2,axiom,(
% 11.10/1.91 (![X]: (sum(X,additive_identity,X) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f3,axiom,(
% 11.10/1.91 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f4,axiom,(
% 11.10/1.91 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f5,axiom,(
% 11.10/1.91 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f6,axiom,(
% 11.10/1.91 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f8,axiom,(
% 11.10/1.91 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W)| sum(U,Z,W) ) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f9,axiom,(
% 11.10/1.91 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f14,axiom,(
% 11.10/1.91 (![Y,X,V1,Z,V2,V3,V4]: (( ~ product(Y,X,V1)| ~ product(Z,X,V2)| ~ sum(Y,Z,V3)| ~ product(V3,X,V4)| sum(V1,V2,V4) ) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f16,axiom,(
% 11.10/1.91 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f18,hypothesis,(
% 11.10/1.91 product(a,b,d) ),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f19,hypothesis,(
% 11.10/1.91 product(additive_inverse(a),b,c) ),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f20,negated_conjecture,(
% 11.10/1.91 ~ sum(c,d,additive_identity) ),
% 11.10/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.91 fof(f22,plain,(
% 11.10/1.91 ![X0]: (sum(X0,additive_identity,X0))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f2])).
% 11.10/1.91 fof(f23,plain,(
% 11.10/1.91 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f3])).
% 11.10/1.91 fof(f24,plain,(
% 11.10/1.91 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f4])).
% 11.10/1.91 fof(f25,plain,(
% 11.10/1.91 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f5])).
% 11.10/1.91 fof(f26,plain,(
% 11.10/1.91 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f6])).
% 11.10/1.91 fof(f29,plain,(
% 11.10/1.91 ![U,Z,W]: ((![X,V]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(X,V,W)))|sum(U,Z,W))),
% 11.10/1.91 inference(miniscoping,[status(thm)],[f8])).
% 11.10/1.91 fof(f30,plain,(
% 11.10/1.91 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f29])).
% 11.10/1.91 fof(f31,plain,(
% 11.10/1.91 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f9])).
% 11.10/1.91 fof(f40,plain,(
% 11.10/1.91 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(Y,X,V1)|~product(Z,X,V2))|~sum(Y,Z,V3)))|~product(V3,X,V4)))|sum(V1,V2,V4))),
% 11.10/1.91 inference(miniscoping,[status(thm)],[f14])).
% 11.10/1.91 fof(f41,plain,(
% 11.10/1.91 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X3,X1,X4)|~sum(X0,X3,X5)|~product(X5,X1,X6)|sum(X2,X4,X6))),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f40])).
% 11.10/1.91 fof(f44,plain,(
% 11.10/1.91 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 11.10/1.91 inference(miniscoping,[status(thm)],[f16])).
% 11.10/1.91 fof(f45,plain,(
% 11.10/1.91 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f44])).
% 11.10/1.91 fof(f48,plain,(
% 11.10/1.91 product(a,b,d)),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f18])).
% 11.10/1.91 fof(f49,plain,(
% 11.10/1.91 product(additive_inverse(a),b,c)),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f19])).
% 11.10/1.91 fof(f50,plain,(
% 11.10/1.91 ~sum(c,d,additive_identity)),
% 11.10/1.91 inference(cnf_transformation,[status(thm)],[f20])).
% 11.10/1.91 fof(f54,plain,(
% 11.10/1.91 ![X0,X1]: (~sum(X0,additive_identity,X1)|X0=X1)),
% 11.10/1.91 inference(resolution,[status(thm)],[f45,f22])).
% 11.10/1.91 fof(f59,plain,(
% 11.10/1.91 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(X3,X2,X4)|sum(add(X3,X0),X1,X4))),
% 11.10/1.91 inference(resolution,[status(thm)],[f24,f30])).
% 11.10/1.91 fof(f61,plain,(
% 11.10/1.91 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X0,X1)=X2)),
% 11.10/1.91 inference(resolution,[status(thm)],[f24,f45])).
% 11.10/1.91 fof(f62,plain,(
% 11.10/1.91 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 2.17/1.92 inference(resolution,[status(thm)],[f24,f31])).
% 2.17/1.92 fof(f90,plain,(
% 2.17/1.92 ![X0]: (X0=add(X0,additive_identity))),
% 2.17/1.92 inference(resolution,[status(thm)],[f54,f24])).
% 2.17/1.92 fof(f104,plain,(
% 2.17/1.92 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X1,X0)=X2)),
% 2.17/1.92 inference(resolution,[status(thm)],[f62,f45])).
% 2.17/1.92 fof(f108,plain,(
% 2.17/1.92 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 2.17/1.92 inference(resolution,[status(thm)],[f61,f25])).
% 2.17/1.92 fof(f110,plain,(
% 2.17/1.92 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 2.17/1.92 inference(resolution,[status(thm)],[f61,f26])).
% 2.17/1.92 fof(f174,plain,(
% 2.17/1.92 ![X0,X1,X2,X3]: (~product(X0,b,X1)|~sum(additive_inverse(a),X0,X2)|~product(X2,b,X3)|sum(c,X1,X3))),
% 2.17/1.92 inference(resolution,[status(thm)],[f41,f49])).
% 2.17/1.92 fof(f294,plain,(
% 2.17/1.92 ![X0,X1,X2]: (~sum(X0,additive_identity,X1)|sum(add(X0,additive_inverse(X2)),X2,X1))),
% 2.17/1.92 inference(resolution,[status(thm)],[f59,f25])).
% 2.17/1.92 fof(f1161,plain,(
% 2.17/1.92 ![X0,X1]: (~sum(additive_inverse(a),a,X0)|~product(X0,b,X1)|sum(c,d,X1))),
% 2.17/1.92 inference(resolution,[status(thm)],[f174,f48])).
% 2.17/1.92 fof(f1162,plain,(
% 2.17/1.92 ![X0,X1,X2]: (~sum(additive_inverse(a),X0,X1)|~product(X1,b,X2)|sum(c,multiply(X0,b),X2))),
% 2.17/1.92 inference(resolution,[status(thm)],[f174,f23])).
% 2.17/1.92 fof(f1438,plain,(
% 2.17/1.92 ![X0,X1]: (sum(add(X0,additive_inverse(X1)),X1,X0))),
% 2.17/1.92 inference(resolution,[status(thm)],[f294,f22])).
% 2.17/1.92 fof(f1463,plain,(
% 2.17/1.92 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 2.17/1.92 inference(resolution,[status(thm)],[f1438,f104])).
% 2.17/1.92 fof(f1465,plain,(
% 2.17/1.92 ![X0,X1]: (add(add(X0,additive_inverse(X1)),X1)=X0)),
% 2.17/1.92 inference(resolution,[status(thm)],[f1438,f61])).
% 2.17/1.92 fof(f1497,plain,(
% 2.17/1.92 ![X0]: (add(X0,additive_identity)=additive_inverse(additive_inverse(X0)))),
% 2.17/1.92 inference(paramodulation,[status(thm)],[f108,f1463])).
% 2.17/1.92 fof(f1547,plain,(
% 2.17/1.92 ![X0]: (X0=additive_inverse(additive_inverse(X0)))),
% 2.17/1.92 inference(forward_demodulation,[status(thm)],[f90,f1497])).
% 2.17/1.92 fof(f1583,plain,(
% 2.17/1.92 ![X0,X1]: (add(add(X0,X1),additive_inverse(X1))=X0)),
% 2.17/1.92 inference(paramodulation,[status(thm)],[f1547,f1465])).
% 2.17/1.92 fof(f3180,plain,(
% 2.17/1.92 ![X0]: (~product(additive_identity,b,X0)|sum(c,d,X0))),
% 2.17/1.92 inference(resolution,[status(thm)],[f1161,f25])).
% 2.17/1.92 fof(f3193,plain,(
% 2.17/1.92 ![X0]: (~product(additive_inverse(a),b,X0)|sum(c,multiply(additive_identity,b),X0))),
% 2.17/1.92 inference(resolution,[status(thm)],[f1162,f22])).
% 2.17/1.92 fof(f8593,plain,(
% 2.17/1.92 sum(c,d,multiply(additive_identity,b))),
% 2.17/1.92 inference(resolution,[status(thm)],[f3180,f23])).
% 2.17/1.92 fof(f8855,plain,(
% 2.17/1.92 sum(c,multiply(additive_identity,b),c)),
% 2.17/1.92 inference(resolution,[status(thm)],[f3193,f49])).
% 2.17/1.92 fof(f8872,plain,(
% 2.17/1.92 add(multiply(additive_identity,b),c)=c),
% 2.17/1.92 inference(resolution,[status(thm)],[f8855,f104])).
% 2.17/1.92 fof(f8952,plain,(
% 2.17/1.92 add(c,additive_inverse(c))=multiply(additive_identity,b)),
% 2.17/1.92 inference(paramodulation,[status(thm)],[f8872,f1583])).
% 2.17/1.92 fof(f9001,plain,(
% 2.17/1.92 additive_identity=multiply(additive_identity,b)),
% 2.17/1.92 inference(forward_demodulation,[status(thm)],[f110,f8952])).
% 2.17/1.92 fof(f9013,plain,(
% 2.17/1.92 sum(c,d,additive_identity)),
% 2.17/1.92 inference(backward_demodulation,[status(thm)],[f9001,f8593])).
% 2.17/1.92 fof(f9021,plain,(
% 2.17/1.92 $false),
% 2.17/1.92 inference(forward_subsumption_resolution,[status(thm)],[f9013,f50])).
% 2.17/1.92 % SZS output end CNFRefutation for theBenchmark.p
% 2.17/1.93 % Elapsed time: 1.541991 seconds
% 2.17/1.93 % CPU time: 11.911219 seconds
% 2.17/1.93 % Total memory used: 82.995 MB
% 2.17/1.93 % Net memory used: 74.589 MB
%------------------------------------------------------------------------------