%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO013-1 : 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 : n006.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 10.34s 1.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:47:45 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 10.34/1.75 % Refutation found
% 10.34/1.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.34/1.75 % SZS output start CNFRefutation for theBenchmark
% 10.34/1.75 fof(f2,axiom,(
% 10.34/1.75 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f3,axiom,(
% 10.34/1.75 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f4,axiom,(
% 10.34/1.75 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f6,axiom,(
% 10.34/1.75 (![X]: (sum(X,additive_identity,X) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f8,axiom,(
% 10.34/1.75 (![X]: (product(X,multiplicative_identity,X) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f9,axiom,(
% 10.34/1.75 (![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) ) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f21,axiom,(
% 10.34/1.75 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f23,negated_conjecture,(
% 10.34/1.75 sum(x,y,multiplicative_identity) ),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f24,negated_conjecture,(
% 10.34/1.75 sum(x,z,multiplicative_identity) ),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f25,negated_conjecture,(
% 10.34/1.75 product(x,y,additive_identity) ),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f26,negated_conjecture,(
% 10.34/1.75 product(x,z,additive_identity) ),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f27,negated_conjecture,(
% 10.34/1.75 y != z ),
% 10.34/1.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.75 fof(f29,plain,(
% 10.34/1.75 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f2])).
% 10.34/1.75 fof(f30,plain,(
% 10.34/1.75 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f3])).
% 10.34/1.75 fof(f31,plain,(
% 10.34/1.75 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f4])).
% 10.34/1.75 fof(f33,plain,(
% 10.34/1.75 ![X0]: (sum(X0,additive_identity,X0))),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f6])).
% 10.34/1.75 fof(f35,plain,(
% 10.34/1.75 ![X0]: (product(X0,multiplicative_identity,X0))),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f8])).
% 10.34/1.75 fof(f36,plain,(
% 10.34/1.75 ![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))),
% 10.34/1.75 inference(miniscoping,[status(thm)],[f9])).
% 10.34/1.75 fof(f37,plain,(
% 10.34/1.75 ![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))),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f36])).
% 10.34/1.75 fof(f56,plain,(
% 10.34/1.75 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 10.34/1.75 inference(miniscoping,[status(thm)],[f21])).
% 10.34/1.75 fof(f57,plain,(
% 10.34/1.75 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f56])).
% 10.34/1.75 fof(f60,plain,(
% 10.34/1.75 sum(x,y,multiplicative_identity)),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f23])).
% 10.34/1.75 fof(f61,plain,(
% 10.34/1.75 sum(x,z,multiplicative_identity)),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f24])).
% 10.34/1.75 fof(f62,plain,(
% 10.34/1.75 product(x,y,additive_identity)),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f25])).
% 10.34/1.75 fof(f63,plain,(
% 10.34/1.75 product(x,z,additive_identity)),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f26])).
% 10.34/1.75 fof(f64,plain,(
% 10.34/1.75 ~y=z),
% 10.34/1.75 inference(cnf_transformation,[status(thm)],[f27])).
% 10.34/1.75 fof(f66,plain,(
% 10.34/1.75 sum(z,x,multiplicative_identity)),
% 10.34/1.75 inference(resolution,[status(thm)],[f30,f61])).
% 10.34/1.75 fof(f67,plain,(
% 10.34/1.75 sum(y,x,multiplicative_identity)),
% 10.34/1.75 inference(resolution,[status(thm)],[f30,f60])).
% 10.34/1.75 fof(f72,plain,(
% 10.34/1.75 product(z,x,additive_identity)),
% 10.34/1.75 inference(resolution,[status(thm)],[f31,f63])).
% 10.34/1.75 fof(f73,plain,(
% 10.34/1.75 product(y,x,additive_identity)),
% 10.34/1.75 inference(resolution,[status(thm)],[f31,f62])).
% 10.34/1.75 fof(f82,plain,(
% 10.34/1.75 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 10.34/1.75 inference(resolution,[status(thm)],[f57,f33])).
% 10.34/1.75 fof(f104,plain,(
% 10.34/1.75 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,multiplicative_identity)|sum(X2,X4,X0))),
% 10.34/1.76 inference(resolution,[status(thm)],[f37,f35])).
% 10.34/1.76 fof(f132,plain,(
% 10.34/1.76 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 10.34/1.76 inference(resolution,[status(thm)],[f29,f31])).
% 10.34/1.76 fof(f1284,plain,(
% 10.34/1.76 ![X0,X1,X2]: (~product(X0,y,X1)|~product(X0,x,X2)|sum(X1,X2,X0))),
% 10.34/1.76 inference(resolution,[status(thm)],[f104,f67])).
% 10.34/1.76 fof(f1285,plain,(
% 10.34/1.76 ![X0,X1,X2]: (~product(X0,z,X1)|~product(X0,x,X2)|sum(X1,X2,X0))),
% 10.34/1.76 inference(resolution,[status(thm)],[f104,f66])).
% 10.34/1.76 fof(f1550,plain,(
% 10.34/1.76 ![X0]: (~product(z,y,X0)|sum(X0,additive_identity,z))),
% 10.34/1.76 inference(resolution,[status(thm)],[f1284,f72])).
% 10.34/1.76 fof(f1727,plain,(
% 10.34/1.76 sum(multiply(y,z),additive_identity,z)),
% 10.34/1.76 inference(resolution,[status(thm)],[f1550,f132])).
% 10.34/1.76 fof(f1735,plain,(
% 10.34/1.76 z=multiply(y,z)),
% 10.34/1.76 inference(resolution,[status(thm)],[f1727,f82])).
% 10.34/1.76 fof(f1756,plain,(
% 10.34/1.76 product(y,z,z)),
% 10.34/1.76 inference(paramodulation,[status(thm)],[f1735,f29])).
% 10.34/1.76 fof(f4127,plain,(
% 10.34/1.76 ![X0]: (~product(y,z,X0)|sum(X0,additive_identity,y))),
% 10.34/1.76 inference(resolution,[status(thm)],[f1285,f73])).
% 10.34/1.76 fof(f4148,plain,(
% 10.34/1.76 sum(z,additive_identity,y)),
% 10.34/1.76 inference(resolution,[status(thm)],[f4127,f1756])).
% 10.34/1.76 fof(f4177,plain,(
% 10.34/1.76 y=z),
% 10.34/1.76 inference(resolution,[status(thm)],[f4148,f82])).
% 10.34/1.76 fof(f4195,plain,(
% 10.34/1.76 $false),
% 10.34/1.76 inference(forward_subsumption_resolution,[status(thm)],[f4177,f64])).
% 10.34/1.76 % SZS output end CNFRefutation for theBenchmark.p
% 10.34/1.78 % Elapsed time: 1.406630 seconds
% 10.34/1.78 % CPU time: 10.913211 seconds
% 10.34/1.78 % Total memory used: 91.647 MB
% 10.34/1.78 % Net memory used: 81.500 MB
%------------------------------------------------------------------------------