%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO003-1 : 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 : n008.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 0.16s 0.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.58 % Computer : n008.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 13:46:40 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.59 % Drodi V4.1.1
% 0.16/0.98 % Refutation found
% 0.16/0.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.98 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.98 fof(f2,axiom,(
% 0.16/0.98 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f3,axiom,(
% 0.16/0.98 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f4,axiom,(
% 0.16/0.98 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f5,axiom,(
% 0.16/0.98 (![X]: (sum(additive_identity,X,X) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f6,axiom,(
% 0.16/0.98 (![X]: (sum(X,additive_identity,X) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f7,axiom,(
% 0.16/0.98 (![X]: (product(multiplicative_identity,X,X) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f9,axiom,(
% 0.16/0.98 (![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) ) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f13,axiom,(
% 0.16/0.98 (![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) ) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f17,axiom,(
% 0.16/0.98 (![X]: (sum(inverse(X),X,multiplicative_identity) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f19,axiom,(
% 0.16/0.98 (![X]: (product(inverse(X),X,additive_identity) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f21,axiom,(
% 0.16/0.98 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f22,axiom,(
% 0.16/0.98 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f23,negated_conjecture,(
% 0.16/0.98 ~ product(x,x,x) ),
% 0.16/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.98 fof(f25,plain,(
% 0.16/0.98 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.98 fof(f26,plain,(
% 0.16/0.98 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.98 fof(f27,plain,(
% 0.16/0.98 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.98 fof(f28,plain,(
% 0.16/0.98 ![X0]: (sum(additive_identity,X0,X0))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.98 fof(f29,plain,(
% 0.16/0.98 ![X0]: (sum(X0,additive_identity,X0))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.98 fof(f30,plain,(
% 0.16/0.98 ![X0]: (product(multiplicative_identity,X0,X0))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.98 fof(f32,plain,(
% 0.16/0.98 ![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))),
% 0.16/0.98 inference(miniscoping,[status(thm)],[f9])).
% 0.16/0.98 fof(f33,plain,(
% 0.16/0.98 ![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))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f32])).
% 0.16/0.98 fof(f40,plain,(
% 0.16/0.98 ![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))),
% 0.16/0.98 inference(miniscoping,[status(thm)],[f13])).
% 0.16/0.98 fof(f41,plain,(
% 0.16/0.98 ![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))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 0.16/0.98 fof(f48,plain,(
% 0.16/0.98 ![X0]: (sum(inverse(X0),X0,multiplicative_identity))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/0.98 fof(f50,plain,(
% 0.16/0.98 ![X0]: (product(inverse(X0),X0,additive_identity))),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.98 fof(f52,plain,(
% 0.16/0.98 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.16/0.98 inference(miniscoping,[status(thm)],[f21])).
% 0.16/0.98 fof(f53,plain,(
% 0.16/0.98 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f52])).
% 0.16/0.98 fof(f54,plain,(
% 0.16/0.98 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 0.16/0.98 inference(miniscoping,[status(thm)],[f22])).
% 0.16/0.98 fof(f55,plain,(
% 0.16/0.98 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.16/0.98 inference(cnf_transformation,[status(thm)],[f54])).
% 0.16/1.00 fof(f56,plain,(
% 0.16/1.00 ~product(x,x,x)),
% 0.16/1.00 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/1.00 fof(f58,plain,(
% 0.16/1.00 ![X0]: (product(X0,multiplicative_identity,X0))),
% 0.16/1.00 inference(resolution,[status(thm)],[f30,f27])).
% 0.16/1.00 fof(f61,plain,(
% 0.16/1.00 ![X0,X1]: (~product(X0,multiplicative_identity,X1)|X1=X0)),
% 0.16/1.00 inference(resolution,[status(thm)],[f58,f55])).
% 0.16/1.00 fof(f68,plain,(
% 0.16/1.00 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 0.16/1.00 inference(resolution,[status(thm)],[f25,f27])).
% 0.16/1.00 fof(f109,plain,(
% 0.16/1.00 ![X0,X1,X2]: (~product(X0,X1,X2)|~sum(X1,multiplicative_identity,multiplicative_identity)|sum(X2,X0,X0))),
% 0.16/1.00 inference(resolution,[status(thm)],[f33,f58])).
% 0.16/1.00 fof(f121,plain,(
% 0.16/1.00 additive_identity=inverse(multiplicative_identity)),
% 0.16/1.00 inference(resolution,[status(thm)],[f50,f61])).
% 0.16/1.00 fof(f164,plain,(
% 0.16/1.00 ![X0,X1]: (~sum(additive_identity,X0,X1)|X1=X0)),
% 0.16/1.00 inference(resolution,[status(thm)],[f53,f28])).
% 0.16/1.00 fof(f283,plain,(
% 0.16/1.00 ![X0,X1]: (~product(X0,inverse(multiplicative_identity),X1)|sum(X1,X0,X0))),
% 0.16/1.00 inference(resolution,[status(thm)],[f109,f48])).
% 0.16/1.00 fof(f285,plain,(
% 0.16/1.00 ![X0,X1]: (~product(X0,additive_identity,X1)|sum(X1,X0,X0))),
% 0.16/1.00 inference(forward_demodulation,[status(thm)],[f121,f283])).
% 0.16/1.00 fof(f288,plain,(
% 0.16/1.00 ![X0]: (sum(multiply(additive_identity,X0),X0,X0))),
% 0.16/1.00 inference(resolution,[status(thm)],[f285,f68])).
% 0.16/1.00 fof(f296,plain,(
% 0.16/1.00 ![X0]: (sum(X0,multiply(additive_identity,X0),X0))),
% 0.16/1.00 inference(resolution,[status(thm)],[f288,f26])).
% 0.16/1.00 fof(f311,plain,(
% 0.16/1.00 additive_identity=multiply(additive_identity,additive_identity)),
% 0.16/1.00 inference(resolution,[status(thm)],[f296,f164])).
% 0.16/1.00 fof(f324,plain,(
% 0.16/1.00 product(additive_identity,additive_identity,additive_identity)),
% 0.16/1.00 inference(paramodulation,[status(thm)],[f311,f68])).
% 0.16/1.00 fof(f559,plain,(
% 0.16/1.00 ![X0,X1,X2,X3]: (~sum(X0,X1,x)|~sum(X0,X2,x)|~product(X1,X2,X3)|~sum(X0,X3,x))),
% 0.16/1.00 inference(resolution,[status(thm)],[f41,f56])).
% 0.16/1.00 fof(f750,plain,(
% 0.16/1.00 ![X0]: (~sum(x,X0,x)|~product(X0,additive_identity,additive_identity))),
% 0.16/1.00 inference(resolution,[status(thm)],[f559,f29])).
% 0.16/1.00 fof(f828,plain,(
% 0.16/1.00 ~sum(x,additive_identity,x)),
% 0.16/1.00 inference(resolution,[status(thm)],[f750,f324])).
% 0.16/1.00 fof(f836,plain,(
% 0.16/1.00 $false),
% 0.16/1.00 inference(forward_subsumption_resolution,[status(thm)],[f828,f29])).
% 0.16/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/1.01 % Elapsed time: 0.413716 seconds
% 0.16/1.01 % CPU time: 3.133116 seconds
% 0.16/1.01 % Total memory used: 57.385 MB
% 0.16/1.01 % Net memory used: 54.479 MB
%------------------------------------------------------------------------------