%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO009-1 : 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 : n004.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 12:06:43 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 13:47:40 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.14/5.59 % Refutation found
% 0.14/5.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.59 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.59 fof(f1,axiom,(
% 0.14/5.59 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f2,axiom,(
% 0.14/5.59 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f3,axiom,(
% 0.14/5.59 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f4,axiom,(
% 0.14/5.59 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f5,axiom,(
% 0.14/5.59 (![X]: (sum(additive_identity,X,X) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f6,axiom,(
% 0.14/5.59 (![X]: (sum(X,additive_identity,X) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f11,axiom,(
% 0.14/5.59 (![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) ) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f15,axiom,(
% 0.14/5.59 (![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) ) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f19,axiom,(
% 0.14/5.59 (![X]: (product(inverse(X),X,additive_identity) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f21,axiom,(
% 0.14/5.59 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f22,axiom,(
% 0.14/5.59 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f23,negated_conjecture,(
% 0.14/5.59 ~ product(x,add(x,y),x) ),
% 0.14/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.59 fof(f24,plain,(
% 0.14/5.59 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.59 fof(f25,plain,(
% 0.14/5.59 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.59 fof(f26,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.59 fof(f27,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.59 fof(f28,plain,(
% 0.14/5.59 ![X0]: (sum(additive_identity,X0,X0))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.59 fof(f29,plain,(
% 0.14/5.59 ![X0]: (sum(X0,additive_identity,X0))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.59 fof(f36,plain,(
% 0.14/5.59 ![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))),
% 0.14/5.59 inference(miniscoping,[status(thm)],[f11])).
% 0.14/5.59 fof(f37,plain,(
% 0.14/5.59 ![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))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/5.59 fof(f44,plain,(
% 0.14/5.59 ![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))),
% 0.14/5.59 inference(miniscoping,[status(thm)],[f15])).
% 0.14/5.59 fof(f45,plain,(
% 0.14/5.59 ![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))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/5.59 fof(f50,plain,(
% 0.14/5.59 ![X0]: (product(inverse(X0),X0,additive_identity))),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/5.59 fof(f52,plain,(
% 0.14/5.59 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.14/5.59 inference(miniscoping,[status(thm)],[f21])).
% 0.14/5.59 fof(f53,plain,(
% 0.14/5.59 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/5.59 fof(f54,plain,(
% 0.14/5.59 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 0.14/5.59 inference(miniscoping,[status(thm)],[f22])).
% 0.14/5.59 fof(f55,plain,(
% 0.14/5.59 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/5.59 fof(f56,plain,(
% 0.14/5.59 ~product(x,add(x,y),x)),
% 0.14/5.59 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/5.59 fof(f60,plain,(
% 0.14/5.59 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 0.14/5.59 inference(resolution,[status(thm)],[f53,f29])).
% 0.14/5.59 fof(f61,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(X0,X1))),
% 0.14/5.59 inference(resolution,[status(thm)],[f53,f24])).
% 0.14/5.59 fof(f110,plain,(
% 0.14/5.59 ![X0,X1,X2]: (X0=add(X1,X2)|~sum(X2,X1,X0))),
% 0.14/5.59 inference(resolution,[status(thm)],[f61,f26])).
% 0.14/5.59 fof(f115,plain,(
% 0.14/5.59 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.14/5.59 inference(resolution,[status(thm)],[f110,f24])).
% 0.14/5.59 fof(f131,plain,(
% 0.14/5.59 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 0.14/5.59 inference(paramodulation,[status(thm)],[f115,f24])).
% 0.14/5.59 fof(f136,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~product(X0,X1,X2)|~sum(X0,inverse(X1),inverse(X1))|sum(X2,additive_identity,additive_identity))),
% 0.14/5.59 inference(resolution,[status(thm)],[f37,f50])).
% 0.14/5.59 fof(f175,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 0.14/5.59 inference(resolution,[status(thm)],[f55,f25])).
% 0.14/5.59 fof(f252,plain,(
% 0.14/5.59 ![X0,X1,X2]: (X0=multiply(X1,X2)|~product(X2,X1,X0))),
% 0.14/5.59 inference(resolution,[status(thm)],[f175,f27])).
% 0.14/5.59 fof(f264,plain,(
% 0.14/5.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/5.59 inference(resolution,[status(thm)],[f252,f25])).
% 0.14/5.59 fof(f282,plain,(
% 0.14/5.59 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 0.14/5.59 inference(paramodulation,[status(thm)],[f264,f25])).
% 0.14/5.59 fof(f307,plain,(
% 0.14/5.59 ~product(add(x,y),x,x)),
% 0.14/5.59 inference(resolution,[status(thm)],[f56,f27])).
% 0.14/5.59 fof(f310,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~sum(X0,X1,X2)|~product(X0,additive_identity,additive_identity)|product(X2,X1,X1))),
% 0.14/5.59 inference(resolution,[status(thm)],[f45,f28])).
% 0.14/5.59 fof(f441,plain,(
% 0.14/5.59 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X1,additive_identity,additive_identity))),
% 0.14/5.59 inference(resolution,[status(thm)],[f136,f28])).
% 0.14/5.59 fof(f455,plain,(
% 0.14/5.59 ![X0]: (sum(multiply(X0,additive_identity),additive_identity,additive_identity))),
% 0.14/5.59 inference(resolution,[status(thm)],[f441,f282])).
% 0.14/5.59 fof(f461,plain,(
% 0.14/5.59 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 0.14/5.59 inference(resolution,[status(thm)],[f455,f60])).
% 0.14/5.59 fof(f489,plain,(
% 0.14/5.59 ![X0]: (product(X0,additive_identity,additive_identity))),
% 0.14/5.59 inference(paramodulation,[status(thm)],[f461,f25])).
% 0.14/5.59 fof(f639,plain,(
% 0.14/5.59 ![X0,X1,X2]: (~sum(X0,X1,X2)|product(X2,X1,X1))),
% 0.14/5.59 inference(forward_subsumption_resolution,[status(thm)],[f310,f489])).
% 0.14/5.59 fof(f644,plain,(
% 0.14/5.59 ![X0,X1]: (product(add(X0,X1),X0,X0))),
% 0.14/5.59 inference(resolution,[status(thm)],[f639,f131])).
% 0.14/5.59 fof(f709,plain,(
% 0.14/5.59 $false),
% 0.14/5.59 inference(backward_subsumption_resolution,[status(thm)],[f307,f644])).
% 0.14/5.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.61 % Elapsed time: 0.226571 seconds
% 0.14/5.61 % CPU time: 1.611465 seconds
% 0.14/5.61 % Total memory used: 54.430 MB
% 0.14/5.61 % Net memory used: 52.307 MB
%------------------------------------------------------------------------------