%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG037-2 : 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 02:05:12 PM UTC 2026
% Result : Unsatisfiable 12.58s 2.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:18:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 12.58/2.07 % Refutation found
% 12.58/2.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.58/2.07 % SZS output start CNFRefutation for theBenchmark
% 12.58/2.07 fof(f13,axiom,(
% 12.58/2.07 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f16,axiom,(
% 12.58/2.07 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f19,axiom,(
% 12.58/2.07 (![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) ) ))),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f26,axiom,(
% 12.58/2.07 (![X]: (product(X,additive_identity,additive_identity) ))),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f27,hypothesis,(
% 12.58/2.07 product(a,b,d) ),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f28,hypothesis,(
% 12.58/2.07 product(a,additive_inverse(b),c) ),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f29,negated_conjecture,(
% 12.58/2.07 ~ sum(c,d,additive_identity) ),
% 12.58/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.58/2.07 fof(f50,plain,(
% 12.58/2.07 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f13])).
% 12.58/2.07 fof(f55,plain,(
% 12.58/2.07 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f16])).
% 12.58/2.07 fof(f60,plain,(
% 12.58/2.07 ![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))),
% 12.58/2.07 inference(miniscoping,[status(thm)],[f19])).
% 12.58/2.07 fof(f61,plain,(
% 12.58/2.07 ![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))),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f60])).
% 12.58/2.07 fof(f73,plain,(
% 12.58/2.07 ![X0]: (product(X0,additive_identity,additive_identity))),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f26])).
% 12.58/2.07 fof(f74,plain,(
% 12.58/2.07 product(a,b,d)),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f27])).
% 12.58/2.07 fof(f75,plain,(
% 12.58/2.07 product(a,additive_inverse(b),c)),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f28])).
% 12.58/2.07 fof(f76,plain,(
% 12.58/2.07 ~sum(c,d,additive_identity)),
% 12.58/2.07 inference(cnf_transformation,[status(thm)],[f29])).
% 12.58/2.07 fof(f93,plain,(
% 12.58/2.07 ![X0,X1,X2,X3]: (~product(a,X0,X1)|~sum(b,X0,X2)|~product(a,X2,X3)|sum(d,X1,X3))),
% 12.58/2.07 inference(resolution,[status(thm)],[f74,f61])).
% 12.58/2.07 fof(f229,plain,(
% 12.58/2.07 ![X0,X1]: (~sum(b,additive_inverse(b),X0)|~product(a,X0,X1)|sum(d,c,X1))),
% 12.58/2.07 inference(resolution,[status(thm)],[f93,f75])).
% 12.58/2.07 fof(f1155,plain,(
% 12.58/2.07 ![X0]: (~product(a,additive_identity,X0)|sum(d,c,X0))),
% 12.58/2.07 inference(resolution,[status(thm)],[f229,f50])).
% 12.58/2.07 fof(f11387,plain,(
% 12.58/2.07 sum(d,c,additive_identity)),
% 12.58/2.07 inference(resolution,[status(thm)],[f1155,f73])).
% 12.58/2.07 fof(f11427,plain,(
% 12.58/2.07 sum(c,d,additive_identity)),
% 12.58/2.07 inference(resolution,[status(thm)],[f11387,f55])).
% 12.58/2.07 fof(f11430,plain,(
% 12.58/2.07 $false),
% 12.58/2.07 inference(forward_subsumption_resolution,[status(thm)],[f11427,f76])).
% 12.58/2.07 % SZS output end CNFRefutation for theBenchmark.p
% 12.58/2.08 % Elapsed time: 1.697052 seconds
% 12.58/2.08 % CPU time: 13.146484 seconds
% 12.58/2.08 % Total memory used: 105.411 MB
% 12.58/2.08 % Net memory used: 93.386 MB
%------------------------------------------------------------------------------