%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO004-1 : 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 : n012.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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 0.03s 10.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : BOO004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/10.31 % Computer : n012.cluster.edu
% 0.03/10.31 % Model : x86_64 x86_64
% 0.03/10.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.31 % Memory : 8046.5625MB
% 0.03/10.31 % OS : Linux 6.8.0-71-generic
% 0.03/10.31 % CPULimit : 300
% 0.03/10.31 % WCLimit : 300
% 0.03/10.31 % DateTime : Mon Sep 21 13:45:49 UTC 2026
% 0.03/10.31 % CPUTime :
% 0.03/10.32 % Drodi V4.1.1
% 0.03/10.35 % Refutation found
% 0.03/10.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/10.35 % SZS output start CNFRefutation for theBenchmark
% 0.03/10.35 fof(f1,axiom,(
% 0.03/10.35 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f3,axiom,(
% 0.03/10.35 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f5,axiom,(
% 0.03/10.35 (![X]: (sum(additive_identity,X,X) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f7,axiom,(
% 0.03/10.35 (![X]: (product(multiplicative_identity,X,X) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f9,axiom,(
% 0.03/10.35 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ product(X,V3,V4)| sum(V1,V2,V4) ) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f13,axiom,(
% 0.03/10.35 (![X,Y,V1,Z,V2,V3,V4]: (( ~ sum(X,Y,V1)| ~ sum(X,Z,V2)| ~ product(Y,Z,V3)| ~ sum(X,V3,V4)| product(V1,V2,V4) ) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f17,axiom,(
% 0.03/10.35 (![X]: (sum(inverse(X),X,multiplicative_identity) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f19,axiom,(
% 0.03/10.35 (![X]: (product(inverse(X),X,additive_identity) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f21,axiom,(
% 0.03/10.35 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f23,negated_conjecture,(
% 0.03/10.35 ~ sum(x,x,x) ),
% 0.03/10.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/10.35 fof(f24,plain,(
% 0.03/10.35 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/10.35 fof(f26,plain,(
% 0.03/10.35 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/10.35 fof(f28,plain,(
% 0.03/10.35 ![X0]: (sum(additive_identity,X0,X0))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/10.35 fof(f30,plain,(
% 0.03/10.35 ![X0]: (product(multiplicative_identity,X0,X0))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/10.35 fof(f32,plain,(
% 0.03/10.35 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~product(X,V3,V4)))|sum(V1,V2,V4))),
% 0.03/10.35 inference(miniscoping,[status(thm)],[f9])).
% 0.03/10.35 fof(f33,plain,(
% 0.03/10.35 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~product(X0,X5,X6)|sum(X2,X4,X6))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f32])).
% 0.03/10.35 fof(f40,plain,(
% 0.03/10.35 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~sum(X,Y,V1)|~sum(X,Z,V2))|~product(Y,Z,V3)))|~sum(X,V3,V4)))|product(V1,V2,V4))),
% 0.03/10.35 inference(miniscoping,[status(thm)],[f13])).
% 0.03/10.35 fof(f41,plain,(
% 0.03/10.35 ![X0,X1,X2,X3,X4,X5,X6]: (~sum(X0,X1,X2)|~sum(X0,X3,X4)|~product(X1,X3,X5)|~sum(X0,X5,X6)|product(X2,X4,X6))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f40])).
% 0.03/10.35 fof(f48,plain,(
% 0.03/10.35 ![X0]: (sum(inverse(X0),X0,multiplicative_identity))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f17])).
% 0.03/10.35 fof(f50,plain,(
% 0.03/10.35 ![X0]: (product(inverse(X0),X0,additive_identity))),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f19])).
% 0.03/10.35 fof(f52,plain,(
% 0.03/10.35 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.03/10.35 inference(miniscoping,[status(thm)],[f21])).
% 0.03/10.35 fof(f53,plain,(
% 0.03/10.35 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f52])).
% 0.03/10.35 fof(f56,plain,(
% 0.03/10.35 ~sum(x,x,x)),
% 0.03/10.35 inference(cnf_transformation,[status(thm)],[f23])).
% 0.03/10.35 fof(f58,plain,(
% 0.03/10.35 ![X0]: (sum(X0,additive_identity,X0))),
% 0.03/10.35 inference(resolution,[status(thm)],[f28,f26])).
% 0.03/10.35 fof(f67,plain,(
% 0.03/10.35 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X0,X1)=X2)),
% 0.03/10.35 inference(resolution,[status(thm)],[f24,f53])).
% 0.03/10.35 fof(f68,plain,(
% 0.03/10.35 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 0.03/10.35 inference(resolution,[status(thm)],[f24,f26])).
% 0.03/10.35 fof(f79,plain,(
% 0.03/10.35 ![X0,X1,X2,X3,X4]: (~product(multiplicative_identity,X0,X1)|~sum(X2,X0,X3)|~product(multiplicative_identity,X3,X4)|sum(X2,X1,X4))),
% 0.03/10.35 inference(resolution,[status(thm)],[f33,f30])).
% 0.03/10.35 fof(f84,plain,(
% 0.03/10.35 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.03/10.35 inference(resolution,[status(thm)],[f68,f67])).
% 0.03/10.35 fof(f113,plain,(
% 0.03/10.35 ![X0]: (sum(X0,inverse(X0),multiplicative_identity))),
% 0.03/10.35 inference(resolution,[status(thm)],[f48,f26])).
% 0.03/10.35 fof(f192,plain,(
% 0.03/10.35 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~product(inverse(X0),X1,X3)|~sum(X0,X3,X4)|product(multiplicative_identity,X2,X4))),
% 0.03/10.35 inference(resolution,[status(thm)],[f41,f113])).
% 0.03/10.35 fof(f200,plain,(
% 0.03/10.35 ![X0,X1,X2,X3]: (~product(inverse(X0),X1,X2)|~sum(X0,X2,X3)|product(multiplicative_identity,add(X1,X0),X3))),
% 0.03/10.35 inference(resolution,[status(thm)],[f192,f68])).
% 0.03/10.35 fof(f338,plain,(
% 0.03/10.35 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(multiplicative_identity,X2,X3)|sum(X0,X1,X3))),
% 0.03/10.35 inference(resolution,[status(thm)],[f79,f30])).
% 0.03/10.35 fof(f419,plain,(
% 0.03/10.35 ![X0,X1,X2]: (~product(multiplicative_identity,add(X0,X1),X2)|sum(X1,X0,X2))),
% 0.03/10.35 inference(resolution,[status(thm)],[f338,f68])).
% 0.03/10.35 fof(f456,plain,(
% 0.03/10.35 ![X0,X1,X2]: (~product(multiplicative_identity,add(X0,X1),X2)|sum(X0,X1,X2))),
% 0.03/10.35 inference(paramodulation,[status(thm)],[f84,f419])).
% 0.03/10.35 fof(f961,plain,(
% 0.03/10.35 ![X0,X1]: (~sum(X0,additive_identity,X1)|product(multiplicative_identity,add(X0,X0),X1))),
% 0.03/10.35 inference(resolution,[status(thm)],[f200,f50])).
% 0.03/10.35 fof(f972,plain,(
% 0.03/10.35 ![X0]: (product(multiplicative_identity,add(X0,X0),X0))),
% 0.03/10.35 inference(resolution,[status(thm)],[f961,f58])).
% 0.03/10.35 fof(f980,plain,(
% 0.03/10.35 ![X0]: (sum(X0,X0,X0))),
% 0.03/10.35 inference(resolution,[status(thm)],[f972,f456])).
% 0.03/10.35 fof(f1019,plain,(
% 0.03/10.35 $false),
% 0.03/10.35 inference(backward_subsumption_resolution,[status(thm)],[f56,f980])).
% 0.03/10.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/10.37 % Elapsed time: 0.053163 seconds
% 0.03/10.37 % CPU time: 0.261833 seconds
% 0.03/10.37 % Total memory used: 47.709 MB
% 0.03/10.37 % Net memory used: 46.876 MB
%------------------------------------------------------------------------------