%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO005-1 : 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 : 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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 2.59s 0.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:46:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 2.59/0.87 % Refutation found
% 2.59/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.59/0.87 % SZS output start CNFRefutation for theBenchmark
% 2.59/0.87 fof(f1,axiom,(
% 2.59/0.87 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f2,axiom,(
% 2.59/0.87 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f3,axiom,(
% 2.59/0.87 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f4,axiom,(
% 2.59/0.87 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f5,axiom,(
% 2.59/0.87 (![X]: (sum(additive_identity,X,X) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f6,axiom,(
% 2.59/0.87 (![X]: (sum(X,additive_identity,X) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f8,axiom,(
% 2.59/0.87 (![X]: (product(X,multiplicative_identity,X) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f11,axiom,(
% 2.59/0.87 (![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) ) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f15,axiom,(
% 2.59/0.87 (![Y,X,V1,Z,V2,V3,V4]: (( ~ sum(Y,X,V1)| ~ sum(Z,X,V2)| ~ product(Y,Z,V3)| ~ sum(V3,X,V4)| product(V1,V2,V4) ) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f19,axiom,(
% 2.59/0.87 (![X]: (product(inverse(X),X,additive_identity) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f21,axiom,(
% 2.59/0.87 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f22,axiom,(
% 2.59/0.87 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f23,negated_conjecture,(
% 2.59/0.87 ~ sum(x,multiplicative_identity,multiplicative_identity) ),
% 2.59/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.87 fof(f24,plain,(
% 2.59/0.87 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f1])).
% 2.59/0.87 fof(f25,plain,(
% 2.59/0.87 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f2])).
% 2.59/0.87 fof(f26,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f3])).
% 2.59/0.87 fof(f27,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f4])).
% 2.59/0.87 fof(f28,plain,(
% 2.59/0.87 ![X0]: (sum(additive_identity,X0,X0))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f5])).
% 2.59/0.87 fof(f29,plain,(
% 2.59/0.87 ![X0]: (sum(X0,additive_identity,X0))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f6])).
% 2.59/0.87 fof(f31,plain,(
% 2.59/0.87 ![X0]: (product(X0,multiplicative_identity,X0))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f8])).
% 2.59/0.87 fof(f36,plain,(
% 2.59/0.87 ![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))),
% 2.59/0.87 inference(miniscoping,[status(thm)],[f11])).
% 2.59/0.87 fof(f37,plain,(
% 2.59/0.87 ![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))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f36])).
% 2.59/0.87 fof(f44,plain,(
% 2.59/0.87 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~sum(Y,X,V1)|~sum(Z,X,V2))|~product(Y,Z,V3)))|~sum(V3,X,V4)))|product(V1,V2,V4))),
% 2.59/0.87 inference(miniscoping,[status(thm)],[f15])).
% 2.59/0.87 fof(f45,plain,(
% 2.59/0.87 ![X0,X1,X2,X3,X4,X5,X6]: (~sum(X0,X1,X2)|~sum(X3,X1,X4)|~product(X0,X3,X5)|~sum(X5,X1,X6)|product(X2,X4,X6))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f44])).
% 2.59/0.87 fof(f50,plain,(
% 2.59/0.87 ![X0]: (product(inverse(X0),X0,additive_identity))),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f19])).
% 2.59/0.87 fof(f52,plain,(
% 2.59/0.87 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 2.59/0.87 inference(miniscoping,[status(thm)],[f21])).
% 2.59/0.87 fof(f53,plain,(
% 2.59/0.87 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f52])).
% 2.59/0.87 fof(f54,plain,(
% 2.59/0.87 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 2.59/0.87 inference(miniscoping,[status(thm)],[f22])).
% 2.59/0.87 fof(f55,plain,(
% 2.59/0.87 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f54])).
% 2.59/0.87 fof(f56,plain,(
% 2.59/0.87 ~sum(x,multiplicative_identity,multiplicative_identity)),
% 2.59/0.87 inference(cnf_transformation,[status(thm)],[f23])).
% 2.59/0.87 fof(f62,plain,(
% 2.59/0.87 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 2.59/0.87 inference(resolution,[status(thm)],[f53,f29])).
% 2.59/0.87 fof(f63,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(X0,X1))),
% 2.59/0.87 inference(resolution,[status(thm)],[f53,f24])).
% 2.59/0.87 fof(f114,plain,(
% 2.59/0.87 ![X0,X1,X2]: (X0=add(X1,X2)|~sum(X2,X1,X0))),
% 2.59/0.87 inference(resolution,[status(thm)],[f63,f26])).
% 2.59/0.87 fof(f115,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~product(X0,X1,X2)|~sum(X0,inverse(X1),inverse(X1))|sum(X2,additive_identity,additive_identity))),
% 2.59/0.87 inference(resolution,[status(thm)],[f37,f50])).
% 2.59/0.87 fof(f141,plain,(
% 2.59/0.87 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 2.59/0.87 inference(resolution,[status(thm)],[f114,f24])).
% 2.59/0.87 fof(f157,plain,(
% 2.59/0.87 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 2.59/0.87 inference(paramodulation,[status(thm)],[f141,f24])).
% 2.59/0.87 fof(f178,plain,(
% 2.59/0.87 ![X0,X1]: (~product(X0,multiplicative_identity,X1)|X1=X0)),
% 2.59/0.87 inference(resolution,[status(thm)],[f55,f31])).
% 2.59/0.87 fof(f179,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 2.59/0.87 inference(resolution,[status(thm)],[f55,f25])).
% 2.59/0.87 fof(f264,plain,(
% 2.59/0.87 ![X0,X1,X2]: (X0=multiply(X1,X2)|~product(X2,X1,X0))),
% 2.59/0.87 inference(resolution,[status(thm)],[f179,f27])).
% 2.59/0.87 fof(f269,plain,(
% 2.59/0.87 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 2.59/0.87 inference(resolution,[status(thm)],[f264,f25])).
% 2.59/0.87 fof(f287,plain,(
% 2.59/0.87 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 2.59/0.87 inference(paramodulation,[status(thm)],[f269,f25])).
% 2.59/0.87 fof(f311,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~sum(X0,X1,X2)|~product(X0,additive_identity,additive_identity)|product(X2,X1,X1))),
% 2.59/0.87 inference(resolution,[status(thm)],[f45,f28])).
% 2.59/0.87 fof(f517,plain,(
% 2.59/0.87 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X1,additive_identity,additive_identity))),
% 2.59/0.87 inference(resolution,[status(thm)],[f115,f28])).
% 2.59/0.87 fof(f743,plain,(
% 2.59/0.87 ![X0]: (sum(multiply(X0,additive_identity),additive_identity,additive_identity))),
% 2.59/0.87 inference(resolution,[status(thm)],[f517,f287])).
% 2.59/0.87 fof(f752,plain,(
% 2.59/0.87 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 2.59/0.87 inference(resolution,[status(thm)],[f743,f62])).
% 2.59/0.87 fof(f798,plain,(
% 2.59/0.87 ![X0]: (product(X0,additive_identity,additive_identity))),
% 2.59/0.87 inference(paramodulation,[status(thm)],[f752,f25])).
% 2.59/0.87 fof(f1161,plain,(
% 2.59/0.87 ![X0,X1,X2]: (~sum(X0,X1,X2)|product(X2,X1,X1))),
% 2.59/0.87 inference(forward_subsumption_resolution,[status(thm)],[f311,f798])).
% 2.59/0.87 fof(f1166,plain,(
% 2.59/0.87 ![X0,X1]: (product(add(X0,X1),X0,X0))),
% 2.59/0.87 inference(resolution,[status(thm)],[f1161,f157])).
% 2.59/0.87 fof(f1267,plain,(
% 2.59/0.87 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 2.59/0.87 inference(resolution,[status(thm)],[f1166,f178])).
% 2.59/0.87 fof(f1293,plain,(
% 2.59/0.87 ![X0]: (sum(X0,multiplicative_identity,multiplicative_identity))),
% 2.59/0.87 inference(paramodulation,[status(thm)],[f1267,f157])).
% 2.59/0.87 fof(f1311,plain,(
% 2.59/0.87 $false),
% 2.59/0.87 inference(backward_subsumption_resolution,[status(thm)],[f56,f1293])).
% 2.59/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/0.88 % Elapsed time: 0.509328 seconds
% 2.59/0.88 % CPU time: 3.748449 seconds
% 2.59/0.88 % Total memory used: 61.986 MB
% 2.59/0.88 % Net memory used: 57.844 MB
%------------------------------------------------------------------------------