%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO013-3 : 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 : n010.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 12:06:45 PM UTC 2026
% Result : Unsatisfiable 120.90s 15.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO013-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 13:48:11 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 120.90/15.67 % Refutation found
% 120.90/15.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 120.90/15.67 % SZS output start CNFRefutation for theBenchmark
% 120.90/15.67 fof(f2,axiom,(
% 120.90/15.67 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f3,axiom,(
% 120.90/15.67 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f4,axiom,(
% 120.90/15.67 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f5,axiom,(
% 120.90/15.67 (![X]: (sum(additive_identity,X,X) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f6,axiom,(
% 120.90/15.67 (![X]: (sum(X,additive_identity,X) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f8,axiom,(
% 120.90/15.67 (![X]: (product(X,multiplicative_identity,X) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f9,axiom,(
% 120.90/15.67 (![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) ) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f14,axiom,(
% 120.90/15.67 (![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) ) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f21,axiom,(
% 120.90/15.67 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f22,axiom,(
% 120.90/15.67 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f24,negated_conjecture,(
% 120.90/15.67 sum(x,y,multiplicative_identity) ),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f25,negated_conjecture,(
% 120.90/15.67 sum(x,z,multiplicative_identity) ),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f26,negated_conjecture,(
% 120.90/15.67 product(x,y,additive_identity) ),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f27,negated_conjecture,(
% 120.90/15.67 product(x,z,additive_identity) ),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f28,negated_conjecture,(
% 120.90/15.67 y != z ),
% 120.90/15.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.90/15.67 fof(f30,plain,(
% 120.90/15.67 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f2])).
% 120.90/15.67 fof(f31,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f3])).
% 120.90/15.67 fof(f32,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f4])).
% 120.90/15.67 fof(f33,plain,(
% 120.90/15.67 ![X0]: (sum(additive_identity,X0,X0))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f5])).
% 120.90/15.67 fof(f34,plain,(
% 120.90/15.67 ![X0]: (sum(X0,additive_identity,X0))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f6])).
% 120.90/15.67 fof(f36,plain,(
% 120.90/15.67 ![X0]: (product(X0,multiplicative_identity,X0))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f8])).
% 120.90/15.67 fof(f37,plain,(
% 120.90/15.67 ![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))),
% 120.90/15.67 inference(miniscoping,[status(thm)],[f9])).
% 120.90/15.67 fof(f38,plain,(
% 120.90/15.67 ![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))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f37])).
% 120.90/15.67 fof(f47,plain,(
% 120.90/15.67 ![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))),
% 120.90/15.67 inference(miniscoping,[status(thm)],[f14])).
% 120.90/15.67 fof(f48,plain,(
% 120.90/15.67 ![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))),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f47])).
% 120.90/15.67 fof(f57,plain,(
% 120.90/15.67 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 120.90/15.67 inference(miniscoping,[status(thm)],[f21])).
% 120.90/15.67 fof(f58,plain,(
% 120.90/15.67 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f57])).
% 120.90/15.67 fof(f59,plain,(
% 120.90/15.67 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 120.90/15.67 inference(miniscoping,[status(thm)],[f22])).
% 120.90/15.67 fof(f60,plain,(
% 120.90/15.67 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f59])).
% 120.90/15.67 fof(f62,plain,(
% 120.90/15.67 sum(x,y,multiplicative_identity)),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f24])).
% 120.90/15.67 fof(f63,plain,(
% 120.90/15.67 sum(x,z,multiplicative_identity)),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f25])).
% 120.90/15.67 fof(f64,plain,(
% 120.90/15.67 product(x,y,additive_identity)),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f26])).
% 120.90/15.67 fof(f65,plain,(
% 120.90/15.67 product(x,z,additive_identity)),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f27])).
% 120.90/15.67 fof(f66,plain,(
% 120.90/15.67 ~y=z),
% 120.90/15.67 inference(cnf_transformation,[status(thm)],[f28])).
% 120.90/15.67 fof(f69,plain,(
% 120.90/15.67 sum(z,x,multiplicative_identity)),
% 120.90/15.67 inference(resolution,[status(thm)],[f31,f63])).
% 120.90/15.67 fof(f70,plain,(
% 120.90/15.67 sum(y,x,multiplicative_identity)),
% 120.90/15.67 inference(resolution,[status(thm)],[f31,f62])).
% 120.90/15.67 fof(f75,plain,(
% 120.90/15.67 product(z,x,additive_identity)),
% 120.90/15.67 inference(resolution,[status(thm)],[f32,f65])).
% 120.90/15.67 fof(f76,plain,(
% 120.90/15.67 product(y,x,additive_identity)),
% 120.90/15.67 inference(resolution,[status(thm)],[f32,f64])).
% 120.90/15.67 fof(f85,plain,(
% 120.90/15.67 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 120.90/15.67 inference(resolution,[status(thm)],[f30,f32])).
% 120.90/15.67 fof(f99,plain,(
% 120.90/15.67 ![X0,X1]: (~sum(X0,additive_identity,X1)|X0=X1)),
% 120.90/15.67 inference(resolution,[status(thm)],[f58,f34])).
% 120.90/15.67 fof(f121,plain,(
% 120.90/15.67 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~sum(X3,X1,X4)|~product(X0,X4,X5)|sum(multiply(X0,X3),X2,X5))),
% 120.90/15.67 inference(resolution,[status(thm)],[f38,f30])).
% 120.90/15.67 fof(f276,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~product(X0,X1,X2)|multiply(X1,X0)=X2)),
% 120.90/15.67 inference(resolution,[status(thm)],[f60,f85])).
% 120.90/15.67 fof(f286,plain,(
% 120.90/15.67 ![X0,X1,X2,X3,X4]: (~sum(additive_identity,X0,X1)|~product(X2,X0,X3)|~product(X2,X1,X4)|sum(additive_identity,X3,X4))),
% 120.90/15.67 inference(resolution,[status(thm)],[f48,f33])).
% 120.90/15.67 fof(f407,plain,(
% 120.90/15.67 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 120.90/15.67 inference(resolution,[status(thm)],[f276,f30])).
% 120.90/15.67 fof(f588,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~sum(X0,x,X1)|~product(y,X1,X2)|sum(multiply(y,X0),additive_identity,X2))),
% 120.90/15.67 inference(resolution,[status(thm)],[f121,f76])).
% 120.90/15.67 fof(f589,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~sum(X0,x,X1)|~product(z,X1,X2)|sum(multiply(z,X0),additive_identity,X2))),
% 120.90/15.67 inference(resolution,[status(thm)],[f121,f75])).
% 120.90/15.67 fof(f2250,plain,(
% 120.90/15.67 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|sum(additive_identity,X2,X3))),
% 120.90/15.67 inference(resolution,[status(thm)],[f286,f33])).
% 120.90/15.67 fof(f3433,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~product(X0,X1,X2)|sum(additive_identity,multiply(X1,X0),X2))),
% 120.90/15.67 inference(resolution,[status(thm)],[f2250,f85])).
% 120.90/15.67 fof(f3511,plain,(
% 120.90/15.67 ![X0,X1]: (sum(additive_identity,multiply(X0,X1),multiply(X1,X0)))),
% 120.90/15.67 inference(resolution,[status(thm)],[f3433,f30])).
% 120.90/15.67 fof(f3575,plain,(
% 120.90/15.67 ![X0,X1]: (sum(multiply(X0,X1),additive_identity,multiply(X1,X0)))),
% 120.90/15.67 inference(resolution,[status(thm)],[f3511,f31])).
% 120.90/15.67 fof(f3868,plain,(
% 120.90/15.67 ![X0,X1,X2]: (~sum(multiply(X0,X1),additive_identity,X2)|multiply(X1,X0)=X2)),
% 120.90/15.67 inference(resolution,[status(thm)],[f3575,f58])).
% 120.90/15.67 fof(f13909,plain,(
% 120.90/15.67 ![X0]: (~product(y,multiplicative_identity,X0)|sum(multiply(y,z),additive_identity,X0))),
% 120.90/15.67 inference(resolution,[status(thm)],[f588,f69])).
% 120.90/15.67 fof(f13921,plain,(
% 120.90/15.67 ![X0]: (~product(z,multiplicative_identity,X0)|sum(multiply(z,y),additive_identity,X0))),
% 120.90/15.67 inference(resolution,[status(thm)],[f589,f70])).
% 120.90/15.67 fof(f13928,plain,(
% 120.90/15.67 ![X0]: (~product(z,multiplicative_identity,X0)|sum(multiply(y,z),additive_identity,X0))),
% 120.90/15.67 inference(forward_demodulation,[status(thm)],[f407,f13921])).
% 120.90/15.67 fof(f61228,plain,(
% 120.90/15.67 sum(multiply(y,z),additive_identity,y)),
% 120.90/15.67 inference(resolution,[status(thm)],[f13909,f36])).
% 120.90/15.67 fof(f61235,plain,(
% 120.90/15.67 multiply(z,y)=y),
% 120.90/15.67 inference(resolution,[status(thm)],[f61228,f3868])).
% 120.90/15.67 fof(f61304,plain,(
% 120.90/15.67 multiply(y,z)=y),
% 120.90/15.67 inference(forward_demodulation,[status(thm)],[f407,f61235])).
% 120.90/15.67 fof(f82001,plain,(
% 120.90/15.67 ![X0]: (~product(z,multiplicative_identity,X0)|sum(y,additive_identity,X0))),
% 120.90/15.67 inference(forward_demodulation,[status(thm)],[f61304,f13928])).
% 120.90/15.67 fof(f82002,plain,(
% 120.90/15.67 sum(y,additive_identity,z)),
% 120.90/15.67 inference(resolution,[status(thm)],[f82001,f36])).
% 120.90/15.67 fof(f82024,plain,(
% 120.90/15.67 y=z),
% 120.90/15.67 inference(resolution,[status(thm)],[f82002,f99])).
% 120.90/15.67 fof(f82083,plain,(
% 120.90/15.67 $false),
% 120.90/15.67 inference(forward_subsumption_resolution,[status(thm)],[f82024,f66])).
% 120.90/15.71 % SZS output end CNFRefutation for theBenchmark.p
% 120.90/15.72 % Elapsed time: 15.336444 seconds
% 120.90/15.72 % CPU time: 121.360182 seconds
% 120.90/15.72 % Total memory used: 262.113 MB
% 120.90/15.72 % Net memory used: 215.618 MB
%------------------------------------------------------------------------------