%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG005-2 : 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 : n015.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 02:05:06 PM UTC 2026
% Result : Unsatisfiable 12.45s 2.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 04:13:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 12.45/2.03 % Refutation found
% 12.45/2.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.45/2.03 % SZS output start CNFRefutation for theBenchmark
% 12.45/2.03 fof(f14,axiom,(
% 12.45/2.03 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 12.45/2.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.45/2.03 fof(f23,axiom,(
% 12.45/2.03 (![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) ) ))),
% 12.45/2.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.45/2.03 fof(f27,axiom,(
% 12.45/2.03 (![X]: (product(additive_identity,X,additive_identity) ))),
% 12.45/2.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.45/2.03 fof(f29,hypothesis,(
% 12.45/2.03 product(a,b,d) ),
% 12.45/2.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.45/2.03 fof(f30,hypothesis,(
% 12.45/2.03 product(additive_inverse(a),b,c) ),
% 12.45/2.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.45/2.03 fof(f31,negated_conjecture,(
% 12.45/2.03 ~ sum(c,d,additive_identity) ),
% 12.45/2.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.45/2.03 fof(f53,plain,(
% 12.45/2.03 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 12.45/2.03 inference(cnf_transformation,[status(thm)],[f14])).
% 12.45/2.03 fof(f68,plain,(
% 12.45/2.03 ![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))),
% 12.45/2.03 inference(miniscoping,[status(thm)],[f23])).
% 12.45/2.03 fof(f69,plain,(
% 12.45/2.03 ![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))),
% 12.45/2.03 inference(cnf_transformation,[status(thm)],[f68])).
% 12.45/2.03 fof(f76,plain,(
% 12.45/2.03 ![X0]: (product(additive_identity,X0,additive_identity))),
% 12.45/2.03 inference(cnf_transformation,[status(thm)],[f27])).
% 12.45/2.03 fof(f78,plain,(
% 12.45/2.03 product(a,b,d)),
% 12.45/2.03 inference(cnf_transformation,[status(thm)],[f29])).
% 12.45/2.03 fof(f79,plain,(
% 12.45/2.03 product(additive_inverse(a),b,c)),
% 12.45/2.03 inference(cnf_transformation,[status(thm)],[f30])).
% 12.45/2.03 fof(f80,plain,(
% 12.45/2.03 ~sum(c,d,additive_identity)),
% 12.45/2.03 inference(cnf_transformation,[status(thm)],[f31])).
% 12.45/2.03 fof(f96,plain,(
% 12.45/2.03 ![X0,X1,X2,X3]: (~product(X0,X1,c)|~product(X2,X1,d)|~sum(X0,X2,X3)|~product(X3,X1,additive_identity))),
% 12.45/2.03 inference(resolution,[status(thm)],[f69,f80])).
% 12.45/2.03 fof(f154,plain,(
% 12.45/2.03 ![X0,X1]: (~product(X0,b,c)|~sum(X0,a,X1)|~product(X1,b,additive_identity))),
% 12.45/2.03 inference(resolution,[status(thm)],[f96,f78])).
% 12.45/2.03 fof(f643,plain,(
% 12.45/2.03 ![X0]: (~product(X0,b,c)|~sum(X0,a,additive_identity))),
% 12.45/2.03 inference(resolution,[status(thm)],[f154,f76])).
% 12.45/2.03 fof(f898,plain,(
% 12.45/2.03 ~sum(additive_inverse(a),a,additive_identity)),
% 12.45/2.03 inference(resolution,[status(thm)],[f643,f79])).
% 12.45/2.03 fof(f906,plain,(
% 12.45/2.03 $false),
% 12.45/2.03 inference(forward_subsumption_resolution,[status(thm)],[f898,f53])).
% 12.45/2.03 % SZS output end CNFRefutation for theBenchmark.p
% 12.45/2.04 % Elapsed time: 1.645954 seconds
% 12.45/2.04 % CPU time: 12.724900 seconds
% 12.45/2.04 % Total memory used: 107.186 MB
% 12.45/2.04 % Net memory used: 94.160 MB
%------------------------------------------------------------------------------