%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO016-1 : 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 : n018.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 31.56s 14.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.48 % Computer : n018.cluster.edu
% 0.18/10.48 % Model : x86_64 x86_64
% 0.18/10.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.48 % Memory : 8046.5625MB
% 0.18/10.48 % OS : Linux 6.8.0-71-generic
% 0.18/10.49 % CPULimit : 300
% 0.18/10.49 % WCLimit : 300
% 0.18/10.49 % DateTime : Mon Sep 21 13:50:41 UTC 2026
% 0.18/10.49 % CPUTime :
% 0.23/10.50 % Drodi V4.1.1
% 31.56/14.57 % Refutation found
% 31.56/14.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.56/14.57 % SZS output start CNFRefutation for theBenchmark
% 31.56/14.57 fof(f1,axiom,(
% 31.56/14.57 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f2,axiom,(
% 31.56/14.57 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f3,axiom,(
% 31.56/14.57 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f4,axiom,(
% 31.56/14.57 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f5,axiom,(
% 31.56/14.57 (![X]: (sum(additive_identity,X,X) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f6,axiom,(
% 31.56/14.57 (![X]: (sum(X,additive_identity,X) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f8,axiom,(
% 31.56/14.57 (![X]: (product(X,multiplicative_identity,X) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f9,axiom,(
% 31.56/14.57 (![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) ) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f11,axiom,(
% 31.56/14.57 (![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) ) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f13,axiom,(
% 31.56/14.57 (![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) ) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f19,axiom,(
% 31.56/14.57 (![X]: (product(inverse(X),X,additive_identity) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f21,axiom,(
% 31.56/14.57 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f23,hypothesis,(
% 31.56/14.57 product(x,y,z) ),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f24,negated_conjecture,(
% 31.56/14.57 ~ sum(x,z,x) ),
% 31.56/14.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/14.57 fof(f25,plain,(
% 31.56/14.57 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f1])).
% 31.56/14.57 fof(f26,plain,(
% 31.56/14.57 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f2])).
% 31.56/14.57 fof(f27,plain,(
% 31.56/14.57 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f3])).
% 31.56/14.57 fof(f28,plain,(
% 31.56/14.57 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f4])).
% 31.56/14.57 fof(f29,plain,(
% 31.56/14.57 ![X0]: (sum(additive_identity,X0,X0))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f5])).
% 31.56/14.57 fof(f30,plain,(
% 31.56/14.57 ![X0]: (sum(X0,additive_identity,X0))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f6])).
% 31.56/14.57 fof(f32,plain,(
% 31.56/14.57 ![X0]: (product(X0,multiplicative_identity,X0))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f8])).
% 31.56/14.57 fof(f33,plain,(
% 31.56/14.57 ![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))),
% 31.56/14.57 inference(miniscoping,[status(thm)],[f9])).
% 31.56/14.57 fof(f34,plain,(
% 31.56/14.57 ![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))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f33])).
% 31.56/14.57 fof(f37,plain,(
% 31.56/14.57 ![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))),
% 31.56/14.57 inference(miniscoping,[status(thm)],[f11])).
% 31.56/14.57 fof(f38,plain,(
% 31.56/14.57 ![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))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f37])).
% 31.56/14.57 fof(f41,plain,(
% 31.56/14.57 ![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))),
% 31.56/14.57 inference(miniscoping,[status(thm)],[f13])).
% 31.56/14.57 fof(f42,plain,(
% 31.56/14.57 ![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))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f41])).
% 31.56/14.57 fof(f51,plain,(
% 31.56/14.57 ![X0]: (product(inverse(X0),X0,additive_identity))),
% 31.56/14.57 inference(cnf_transformation,[status(thm)],[f19])).
% 31.56/14.58 fof(f53,plain,(
% 31.56/14.58 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 31.56/14.58 inference(miniscoping,[status(thm)],[f21])).
% 31.56/14.58 fof(f54,plain,(
% 31.56/14.58 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 31.56/14.58 inference(cnf_transformation,[status(thm)],[f53])).
% 31.56/14.58 fof(f57,plain,(
% 31.56/14.58 product(x,y,z)),
% 31.56/14.58 inference(cnf_transformation,[status(thm)],[f23])).
% 31.56/14.58 fof(f58,plain,(
% 31.56/14.58 ~sum(x,z,x)),
% 31.56/14.58 inference(cnf_transformation,[status(thm)],[f24])).
% 31.56/14.58 fof(f73,plain,(
% 31.56/14.58 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 31.56/14.58 inference(resolution,[status(thm)],[f30,f54])).
% 31.56/14.58 fof(f84,plain,(
% 31.56/14.58 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X3,X1,X4)|~product(add(X0,X3),X1,X5)|sum(X2,X4,X5))),
% 31.56/14.58 inference(resolution,[status(thm)],[f25,f38])).
% 31.56/14.58 fof(f91,plain,(
% 31.56/14.58 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 31.56/14.58 inference(resolution,[status(thm)],[f25,f27])).
% 31.56/14.58 fof(f102,plain,(
% 31.56/14.58 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 31.56/14.58 inference(resolution,[status(thm)],[f28,f26])).
% 31.56/14.58 fof(f110,plain,(
% 31.56/14.58 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X0,multiply(X1,X3),X5)|product(X2,X4,X5))),
% 31.56/14.58 inference(resolution,[status(thm)],[f42,f26])).
% 31.56/14.58 fof(f122,plain,(
% 31.56/14.58 ![X0,X1,X2]: (~product(X0,X1,X2)|~sum(X1,multiplicative_identity,multiplicative_identity)|sum(X2,X0,X0))),
% 31.56/14.58 inference(resolution,[status(thm)],[f32,f34])).
% 31.56/14.58 fof(f172,plain,(
% 31.56/14.58 ![X0,X1,X2]: (~product(X0,X1,X2)|~sum(X0,inverse(X1),inverse(X1))|sum(X2,additive_identity,additive_identity))),
% 31.56/14.58 inference(resolution,[status(thm)],[f51,f38])).
% 31.56/14.58 fof(f388,plain,(
% 31.56/14.58 ![X0,X1,X2,X3]: (~product(X0,multiplicative_identity,X1)|~product(add(X0,X2),multiplicative_identity,X3)|sum(X1,X2,X3))),
% 31.56/14.58 inference(resolution,[status(thm)],[f84,f32])).
% 31.56/14.58 fof(f665,plain,(
% 31.56/14.58 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,multiply(X1,additive_identity),X3)|product(X2,X0,X3))),
% 31.56/14.58 inference(resolution,[status(thm)],[f110,f30])).
% 31.56/14.58 fof(f1504,plain,(
% 31.56/14.58 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X1,additive_identity,additive_identity))),
% 31.56/14.58 inference(resolution,[status(thm)],[f172,f29])).
% 31.56/14.58 fof(f1517,plain,(
% 31.56/14.58 ![X0]: (sum(multiply(X0,additive_identity),additive_identity,additive_identity))),
% 31.56/14.58 inference(resolution,[status(thm)],[f1504,f102])).
% 31.56/14.58 fof(f1526,plain,(
% 31.56/14.58 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 31.56/14.58 inference(resolution,[status(thm)],[f1517,f73])).
% 31.56/14.58 fof(f4808,plain,(
% 31.56/14.58 ![X0,X1,X2]: (~product(add(X0,X1),multiplicative_identity,X2)|sum(X0,X1,X2))),
% 31.56/14.58 inference(resolution,[status(thm)],[f388,f32])).
% 31.56/14.58 fof(f8508,plain,(
% 31.56/14.58 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,additive_identity,X3)|product(X2,X0,X3))),
% 31.56/14.58 inference(forward_demodulation,[status(thm)],[f1526,f665])).
% 31.56/14.58 fof(f8517,plain,(
% 31.56/14.58 ![X0,X1,X2]: (~sum(X0,X1,X2)|product(X2,X0,X0))),
% 31.56/14.58 inference(resolution,[status(thm)],[f8508,f30])).
% 31.56/14.58 fof(f8578,plain,(
% 31.56/14.58 ![X0,X1]: (product(add(X0,X1),X1,X1))),
% 31.56/14.58 inference(resolution,[status(thm)],[f8517,f91])).
% 31.56/14.58 fof(f8582,plain,(
% 31.56/14.58 ![X0]: (sum(X0,multiplicative_identity,multiplicative_identity))),
% 31.56/14.58 inference(resolution,[status(thm)],[f8578,f4808])).
% 31.56/14.58 fof(f8750,plain,(
% 31.56/14.58 ![X0,X1,X2]: (~product(X0,X1,X2)|sum(X2,X0,X0))),
% 31.56/14.58 inference(backward_subsumption_resolution,[status(thm)],[f122,f8582])).
% 31.56/14.58 fof(f8884,plain,(
% 31.56/14.58 sum(z,x,x)),
% 31.56/14.58 inference(resolution,[status(thm)],[f8750,f57])).
% 31.56/14.58 fof(f10610,plain,(
% 31.56/14.58 sum(x,z,x)),
% 31.56/14.58 inference(resolution,[status(thm)],[f8884,f27])).
% 31.56/14.58 fof(f10613,plain,(
% 31.56/14.58 $false),
% 31.56/14.58 inference(forward_subsumption_resolution,[status(thm)],[f10610,f58])).
% 31.56/14.58 % SZS output end CNFRefutation for theBenchmark.p
% 31.56/14.59 % Elapsed time: 4.088500 seconds
% 31.56/14.59 % CPU time: 31.918327 seconds
% 31.56/14.59 % Total memory used: 90.535 MB
% 31.56/14.59 % Net memory used: 81.907 MB
%------------------------------------------------------------------------------