%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO017-1 : 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 : 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 12:06:46 PM UTC 2026
% Result : Unsatisfiable 14.78s 2.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 13:53:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 14.78/2.27 % Refutation found
% 14.78/2.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.78/2.27 % SZS output start CNFRefutation for theBenchmark
% 14.78/2.27 fof(f1,axiom,(
% 14.78/2.27 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f2,axiom,(
% 14.78/2.27 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f3,axiom,(
% 14.78/2.27 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f4,axiom,(
% 14.78/2.27 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f5,axiom,(
% 14.78/2.27 (![X]: (sum(additive_identity,X,X) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f6,axiom,(
% 14.78/2.27 (![X]: (sum(X,additive_identity,X) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f7,axiom,(
% 14.78/2.27 (![X]: (product(multiplicative_identity,X,X) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f8,axiom,(
% 14.78/2.27 (![X]: (product(X,multiplicative_identity,X) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f11,axiom,(
% 14.78/2.27 (![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) ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f14,axiom,(
% 14.78/2.27 (![X,Y,V1,Z,V2,V3,V4]: (( ~ sum(X,Y,V1)| ~ sum(X,Z,V2)| ~ product(Y,Z,V3)| ~ product(V1,V2,V4)| sum(X,V3,V4) ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f15,axiom,(
% 14.78/2.27 (![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) ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f18,axiom,(
% 14.78/2.27 (![X]: (sum(X,inverse(X),multiplicative_identity) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f21,axiom,(
% 14.78/2.27 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f22,axiom,(
% 14.78/2.27 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f23,hypothesis,(
% 14.78/2.27 sum(x,y,z) ),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f24,negated_conjecture,(
% 14.78/2.27 ~ product(x,z,x) ),
% 14.78/2.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.78/2.27 fof(f25,plain,(
% 14.78/2.27 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f1])).
% 14.78/2.27 fof(f26,plain,(
% 14.78/2.27 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f2])).
% 14.78/2.27 fof(f27,plain,(
% 14.78/2.27 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f3])).
% 14.78/2.27 fof(f28,plain,(
% 14.78/2.27 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f4])).
% 14.78/2.27 fof(f29,plain,(
% 14.78/2.27 ![X0]: (sum(additive_identity,X0,X0))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f5])).
% 14.78/2.27 fof(f30,plain,(
% 14.78/2.27 ![X0]: (sum(X0,additive_identity,X0))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f6])).
% 14.78/2.27 fof(f31,plain,(
% 14.78/2.27 ![X0]: (product(multiplicative_identity,X0,X0))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f7])).
% 14.78/2.27 fof(f32,plain,(
% 14.78/2.27 ![X0]: (product(X0,multiplicative_identity,X0))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f8])).
% 14.78/2.27 fof(f37,plain,(
% 14.78/2.27 ![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))),
% 14.78/2.27 inference(miniscoping,[status(thm)],[f11])).
% 14.78/2.27 fof(f38,plain,(
% 14.78/2.27 ![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))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f37])).
% 14.78/2.27 fof(f43,plain,(
% 14.78/2.27 ![X,V3,V4]: ((![V1,V2]: ((![Y,Z]: ((~sum(X,Y,V1)|~sum(X,Z,V2))|~product(Y,Z,V3)))|~product(V1,V2,V4)))|sum(X,V3,V4))),
% 14.78/2.27 inference(miniscoping,[status(thm)],[f14])).
% 14.78/2.27 fof(f44,plain,(
% 14.78/2.27 ![X0,X1,X2,X3,X4,X5,X6]: (~sum(X0,X1,X2)|~sum(X0,X3,X4)|~product(X1,X3,X5)|~product(X2,X4,X6)|sum(X0,X5,X6))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f43])).
% 14.78/2.27 fof(f45,plain,(
% 14.78/2.27 ![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))),
% 14.78/2.27 inference(miniscoping,[status(thm)],[f15])).
% 14.78/2.27 fof(f46,plain,(
% 14.78/2.27 ![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))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f45])).
% 14.78/2.27 fof(f50,plain,(
% 14.78/2.27 ![X0]: (sum(X0,inverse(X0),multiplicative_identity))),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f18])).
% 14.78/2.27 fof(f53,plain,(
% 14.78/2.27 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 14.78/2.27 inference(miniscoping,[status(thm)],[f21])).
% 14.78/2.27 fof(f54,plain,(
% 14.78/2.27 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f53])).
% 14.78/2.27 fof(f55,plain,(
% 14.78/2.27 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 14.78/2.27 inference(miniscoping,[status(thm)],[f22])).
% 14.78/2.27 fof(f56,plain,(
% 14.78/2.27 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f55])).
% 14.78/2.27 fof(f57,plain,(
% 14.78/2.27 sum(x,y,z)),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f23])).
% 14.78/2.27 fof(f58,plain,(
% 14.78/2.27 ~product(x,z,x)),
% 14.78/2.27 inference(cnf_transformation,[status(thm)],[f24])).
% 14.78/2.27 fof(f61,plain,(
% 14.78/2.27 ![X0]: (~sum(x,y,X0)|X0=z)),
% 14.78/2.27 inference(resolution,[status(thm)],[f54,f57])).
% 14.78/2.27 fof(f64,plain,(
% 14.78/2.27 ![X0,X1]: (~sum(X0,inverse(X0),X1)|X1=multiplicative_identity)),
% 14.78/2.27 inference(resolution,[status(thm)],[f54,f50])).
% 14.78/2.27 fof(f65,plain,(
% 14.78/2.27 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 14.78/2.27 inference(resolution,[status(thm)],[f54,f30])).
% 14.78/2.27 fof(f66,plain,(
% 14.78/2.27 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(X0,X1))),
% 14.78/2.27 inference(resolution,[status(thm)],[f54,f25])).
% 14.78/2.27 fof(f83,plain,(
% 14.78/2.27 ![X0]: (add(X0,additive_identity)=X0)),
% 14.78/2.27 inference(resolution,[status(thm)],[f65,f25])).
% 14.78/2.27 fof(f94,plain,(
% 14.78/2.27 ![X0]: (X0=z|~sum(y,x,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f61,f27])).
% 14.78/2.27 fof(f128,plain,(
% 14.78/2.27 ![X0,X1,X2,X3,X4,X5,X6]: (X0=add(X1,X2)|~product(X3,X4,X1)|~product(X5,X4,X2)|~sum(X3,X5,X6)|~product(X6,X4,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f66,f38])).
% 14.78/2.27 fof(f130,plain,(
% 14.78/2.27 ![X0,X1,X2]: (X0=add(X1,X2)|~sum(X2,X1,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f66,f27])).
% 14.78/2.27 fof(f131,plain,(
% 14.78/2.27 add(y,x)=z),
% 14.78/2.27 inference(resolution,[status(thm)],[f94,f25])).
% 14.78/2.27 fof(f147,plain,(
% 14.78/2.27 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f130,f25])).
% 14.78/2.27 fof(f167,plain,(
% 14.78/2.27 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 14.78/2.27 inference(paramodulation,[status(thm)],[f147,f25])).
% 14.78/2.27 fof(f196,plain,(
% 14.78/2.27 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 14.78/2.27 inference(resolution,[status(thm)],[f56,f26])).
% 14.78/2.27 fof(f227,plain,(
% 14.78/2.27 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,multiplicative_identity)|~sum(X0,X2,X3)|~product(X1,X2,X4)|sum(X0,X4,X3))),
% 14.78/2.27 inference(resolution,[status(thm)],[f44,f31])).
% 14.78/2.27 fof(f264,plain,(
% 14.78/2.27 ![X0,X1,X2,X3]: (~sum(X0,X1,x)|~sum(X2,X1,z)|~product(X0,X2,X3)|~sum(X3,X1,x))),
% 14.78/2.27 inference(resolution,[status(thm)],[f46,f58])).
% 14.78/2.27 fof(f283,plain,(
% 14.78/2.27 ![X0,X1,X2]: (X0=multiply(X1,X2)|~product(X2,X1,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f196,f28])).
% 14.78/2.27 fof(f288,plain,(
% 14.78/2.27 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f283,f26])).
% 14.78/2.27 fof(f307,plain,(
% 14.78/2.27 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 14.78/2.27 inference(paramodulation,[status(thm)],[f288,f26])).
% 14.78/2.27 fof(f360,plain,(
% 14.78/2.27 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(inverse(X0),X1,X3)|sum(X0,X3,X2))),
% 14.78/2.27 inference(resolution,[status(thm)],[f227,f50])).
% 14.78/2.27 fof(f404,plain,(
% 14.78/2.27 ![X0,X1,X2]: (~sum(X0,X1,X2)|~product(inverse(X0),X1,inverse(X0))|X2=multiplicative_identity)),
% 14.78/2.27 inference(resolution,[status(thm)],[f360,f64])).
% 14.78/2.27 fof(f408,plain,(
% 14.78/2.27 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(inverse(X0),X1,X3)|X2=add(X3,X0))),
% 14.78/2.27 inference(resolution,[status(thm)],[f360,f130])).
% 14.78/2.27 fof(f681,plain,(
% 14.78/2.27 ![X0,X1]: (~sum(X0,multiplicative_identity,X1)|X1=multiplicative_identity)),
% 14.78/2.27 inference(resolution,[status(thm)],[f404,f32])).
% 14.78/2.27 fof(f698,plain,(
% 14.78/2.27 ![X0]: (add(multiplicative_identity,X0)=multiplicative_identity)),
% 14.78/2.27 inference(resolution,[status(thm)],[f681,f167])).
% 14.78/2.27 fof(f716,plain,(
% 14.78/2.27 ![X0]: (sum(X0,multiplicative_identity,multiplicative_identity))),
% 14.78/2.27 inference(paramodulation,[status(thm)],[f698,f167])).
% 14.78/2.27 fof(f840,plain,(
% 14.78/2.27 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(multiply(X1,inverse(X0)),X0))),
% 14.78/2.28 inference(resolution,[status(thm)],[f408,f307])).
% 14.78/2.28 fof(f864,plain,(
% 14.78/2.28 ![X0,X1]: (add(X0,X1)=add(multiply(X0,inverse(X1)),X1))),
% 14.78/2.28 inference(resolution,[status(thm)],[f840,f167])).
% 14.78/2.28 fof(f995,plain,(
% 14.78/2.28 ![X0,X1]: (sum(multiply(X0,inverse(X1)),X1,add(X0,X1)))),
% 14.78/2.28 inference(paramodulation,[status(thm)],[f864,f25])).
% 14.78/2.28 fof(f1335,plain,(
% 14.78/2.28 sum(multiply(y,inverse(x)),x,z)),
% 14.78/2.28 inference(paramodulation,[status(thm)],[f131,f995])).
% 14.78/2.28 fof(f2029,plain,(
% 14.78/2.28 ![X0,X1,X2]: (X0=add(X1,X0)|~product(X2,X0,X1)|~sum(X2,multiplicative_identity,multiplicative_identity))),
% 14.78/2.28 inference(resolution,[status(thm)],[f128,f31])).
% 14.78/2.28 fof(f2063,plain,(
% 14.78/2.28 ![X0,X1,X2]: (X0=add(X1,X0)|~product(X2,X0,X1))),
% 14.78/2.28 inference(forward_subsumption_resolution,[status(thm)],[f2029,f716])).
% 14.78/2.28 fof(f2070,plain,(
% 14.78/2.28 ![X0,X1]: (X0=add(multiply(X0,X1),X0))),
% 14.78/2.28 inference(resolution,[status(thm)],[f2063,f307])).
% 14.78/2.28 fof(f2080,plain,(
% 14.78/2.28 ![X0]: (additive_identity=multiply(additive_identity,X0))),
% 14.78/2.28 inference(paramodulation,[status(thm)],[f83,f2070])).
% 14.78/2.28 fof(f2127,plain,(
% 14.78/2.28 ![X0]: (product(additive_identity,X0,additive_identity))),
% 14.78/2.28 inference(paramodulation,[status(thm)],[f2080,f26])).
% 14.78/2.28 fof(f2285,plain,(
% 14.78/2.28 ![X0,X1]: (~sum(additive_identity,X0,x)|~sum(X1,X0,z)|~sum(additive_identity,X0,x))),
% 14.78/2.28 inference(resolution,[status(thm)],[f2127,f264])).
% 14.78/2.28 fof(f2320,plain,(
% 14.78/2.28 ![X0,X1]: (~sum(additive_identity,X0,x)|~sum(X1,X0,z))),
% 14.78/2.28 inference(duplicate_literals_removal,[status(thm)],[f2285])).
% 14.78/2.28 fof(f2941,plain,(
% 14.78/2.28 ![X0]: (~sum(X0,x,z))),
% 14.78/2.28 inference(resolution,[status(thm)],[f2320,f29])).
% 14.78/2.28 fof(f2949,plain,(
% 14.78/2.28 $false),
% 14.78/2.28 inference(backward_subsumption_resolution,[status(thm)],[f1335,f2941])).
% 14.78/2.28 % SZS output end CNFRefutation for theBenchmark.p
% 14.78/2.30 % Elapsed time: 1.917028 seconds
% 14.78/2.30 % CPU time: 14.987929 seconds
% 14.78/2.30 % Total memory used: 83.396 MB
% 14.78/2.30 % Net memory used: 75.665 MB
%------------------------------------------------------------------------------