%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG040-1 : 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 : n014.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 02:05:12 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 04:14:55 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.61 % Refutation found
% 0.14/5.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.61 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.61 fof(f3,axiom,(
% 0.14/5.61 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f14,axiom,(
% 0.14/5.61 (![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) ) ))),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f17,axiom,(
% 0.14/5.61 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f23,negated_conjecture,(
% 0.14/5.61 sum(b,c,d) ),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f24,negated_conjecture,(
% 0.14/5.61 product(d,a,additive_identity) ),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f25,negated_conjecture,(
% 0.14/5.61 product(b,a,l) ),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f26,negated_conjecture,(
% 0.14/5.61 product(c,a,n) ),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f27,negated_conjecture,(
% 0.14/5.61 ~ sum(l,n,additive_identity) ),
% 0.14/5.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f30,plain,(
% 0.14/5.61 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.61 fof(f47,plain,(
% 0.14/5.61 ![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))),
% 0.14/5.61 inference(miniscoping,[status(thm)],[f14])).
% 0.14/5.61 fof(f48,plain,(
% 0.14/5.61 ![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))),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/5.61 fof(f53,plain,(
% 0.14/5.61 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 0.14/5.61 inference(miniscoping,[status(thm)],[f17])).
% 0.14/5.61 fof(f54,plain,(
% 0.14/5.61 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f53])).
% 0.14/5.61 fof(f60,plain,(
% 0.14/5.61 sum(b,c,d)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/5.61 fof(f61,plain,(
% 0.14/5.61 product(d,a,additive_identity)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/5.61 fof(f62,plain,(
% 0.14/5.61 product(b,a,l)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/5.61 fof(f63,plain,(
% 0.14/5.61 product(c,a,n)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/5.61 fof(f64,plain,(
% 0.14/5.61 ~sum(l,n,additive_identity)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/5.61 fof(f77,plain,(
% 0.14/5.61 ![X0]: (~product(c,a,X0)|X0=n)),
% 0.14/5.61 inference(resolution,[status(thm)],[f54,f63])).
% 0.14/5.61 fof(f79,plain,(
% 0.14/5.61 ![X0]: (~product(d,a,X0)|X0=additive_identity)),
% 0.14/5.61 inference(resolution,[status(thm)],[f54,f61])).
% 0.14/5.61 fof(f210,plain,(
% 0.14/5.61 multiply(c,a)=n),
% 0.14/5.61 inference(resolution,[status(thm)],[f77,f30])).
% 0.14/5.61 fof(f363,plain,(
% 0.14/5.61 ![X0,X1,X2,X3]: (~product(b,X0,X1)|~product(c,X0,X2)|~product(d,X0,X3)|sum(X1,X2,X3))),
% 0.14/5.61 inference(resolution,[status(thm)],[f48,f60])).
% 0.14/5.61 fof(f385,plain,(
% 0.14/5.61 ![X0,X1,X2]: (~product(b,X0,X1)|~product(d,X0,X2)|sum(X1,multiply(c,X0),X2))),
% 0.14/5.61 inference(resolution,[status(thm)],[f363,f30])).
% 0.14/5.61 fof(f403,plain,(
% 0.14/5.61 ![X0,X1]: (~product(b,X0,X1)|sum(X1,multiply(c,X0),multiply(d,X0)))),
% 0.14/5.61 inference(resolution,[status(thm)],[f385,f30])).
% 0.14/5.61 fof(f410,plain,(
% 0.14/5.61 sum(l,multiply(c,a),multiply(d,a))),
% 0.14/5.61 inference(resolution,[status(thm)],[f403,f62])).
% 0.14/5.61 fof(f419,plain,(
% 0.14/5.61 sum(l,n,multiply(d,a))),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f210,f410])).
% 0.14/5.61 fof(f431,plain,(
% 0.14/5.61 multiply(d,a)=additive_identity),
% 0.14/5.61 inference(resolution,[status(thm)],[f79,f30])).
% 0.14/5.61 fof(f437,plain,(
% 0.14/5.61 sum(l,n,additive_identity)),
% 0.14/5.61 inference(backward_demodulation,[status(thm)],[f431,f419])).
% 0.14/5.61 fof(f439,plain,(
% 0.14/5.61 $false),
% 0.14/5.61 inference(forward_subsumption_resolution,[status(thm)],[f437,f64])).
% 0.14/5.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.63 % Elapsed time: 0.235479 seconds
% 0.14/5.63 % CPU time: 1.668690 seconds
% 0.14/5.63 % Total memory used: 91.351 MB
% 0.14/5.63 % Net memory used: 88.972 MB
%------------------------------------------------------------------------------