%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG006-2 : 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 : n016.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 4.70s 1.12s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:15:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 4.70/1.12 % Refutation found
% 4.70/1.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.70/1.12 % SZS output start CNFRefutation for theBenchmark
% 4.70/1.12 fof(f22,axiom,(
% 4.70/1.12 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ sum(V1,V2,V4)| product(X,V3,V4) ) ))),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f29,axiom,(
% 4.70/1.12 (![A,B,C]: (( ~ product(A,B,C)| product(A,additive_inverse(B),additive_inverse(C)) ) ))),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f32,hypothesis,(
% 4.70/1.12 sum(b,additive_inverse(c),bS_Ic) ),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f33,hypothesis,(
% 4.70/1.12 product(a,b,aPb) ),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f34,hypothesis,(
% 4.70/1.12 product(a,c,aPc) ),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f35,hypothesis,(
% 4.70/1.12 sum(aPb,additive_inverse(aPc),aPb_S_IaPc) ),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f36,negated_conjecture,(
% 4.70/1.12 ~ product(a,bS_Ic,aPb_S_IaPc) ),
% 4.70/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.12 fof(f71,plain,(
% 4.70/1.12 ![X,V3,V4]: ((![V1,V2]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~sum(V1,V2,V4)))|product(X,V3,V4))),
% 4.70/1.12 inference(miniscoping,[status(thm)],[f22])).
% 4.70/1.12 fof(f72,plain,(
% 4.70/1.12 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~sum(X2,X4,X6)|product(X0,X5,X6))),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f71])).
% 4.70/1.12 fof(f83,plain,(
% 4.70/1.12 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X0,additive_inverse(X1),additive_inverse(X2)))),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f29])).
% 4.70/1.12 fof(f86,plain,(
% 4.70/1.12 sum(b,additive_inverse(c),bS_Ic)),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f32])).
% 4.70/1.12 fof(f87,plain,(
% 4.70/1.12 product(a,b,aPb)),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f33])).
% 4.70/1.12 fof(f88,plain,(
% 4.70/1.12 product(a,c,aPc)),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f34])).
% 4.70/1.12 fof(f89,plain,(
% 4.70/1.12 sum(aPb,additive_inverse(aPc),aPb_S_IaPc)),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f35])).
% 4.70/1.12 fof(f90,plain,(
% 4.70/1.12 ~product(a,bS_Ic,aPb_S_IaPc)),
% 4.70/1.12 inference(cnf_transformation,[status(thm)],[f36])).
% 4.70/1.12 fof(f96,plain,(
% 4.70/1.12 ![X0,X1,X2,X3]: (~product(a,X0,X1)|~product(a,X2,X3)|~sum(X0,X2,bS_Ic)|~sum(X1,X3,aPb_S_IaPc))),
% 4.70/1.12 inference(resolution,[status(thm)],[f72,f90])).
% 4.70/1.12 fof(f120,plain,(
% 4.70/1.12 ![X0,X1]: (~product(a,X0,aPb)|~product(a,X1,additive_inverse(aPc))|~sum(X0,X1,bS_Ic))),
% 4.70/1.12 inference(resolution,[status(thm)],[f96,f89])).
% 4.70/1.12 fof(f357,plain,(
% 4.70/1.12 ![X0]: (~product(a,X0,additive_inverse(aPc))|~sum(b,X0,bS_Ic))),
% 4.70/1.12 inference(resolution,[status(thm)],[f120,f87])).
% 4.70/1.12 fof(f410,plain,(
% 4.70/1.12 ![X0]: (~sum(b,additive_inverse(X0),bS_Ic)|~product(a,X0,aPc))),
% 4.70/1.12 inference(resolution,[status(thm)],[f357,f83])).
% 4.70/1.12 fof(f440,plain,(
% 4.70/1.12 ~sum(b,additive_inverse(c),bS_Ic)),
% 4.70/1.12 inference(resolution,[status(thm)],[f410,f88])).
% 4.70/1.12 fof(f448,plain,(
% 4.70/1.12 $false),
% 4.70/1.12 inference(forward_subsumption_resolution,[status(thm)],[f440,f86])).
% 4.70/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 4.70/1.13 % Elapsed time: 0.752995 seconds
% 4.70/1.13 % CPU time: 5.669888 seconds
% 4.70/1.13 % Total memory used: 91.645 MB
% 4.70/1.13 % Net memory used: 82.591 MB
%------------------------------------------------------------------------------