%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG006-1 : 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 : n018.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 21.31s 3.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:12:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 21.31/3.21 % Refutation found
% 21.31/3.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.31/3.21 % SZS output start CNFRefutation for theBenchmark
% 21.31/3.21 fof(f9,axiom,(
% 21.31/3.21 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f13,axiom,(
% 21.31/3.21 (![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) ) ))),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f18,axiom,(
% 21.31/3.21 (![A,B,C]: (( ~ product(A,B,C)| product(A,additive_inverse(B),additive_inverse(C)) ) ))),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f21,hypothesis,(
% 21.31/3.21 sum(b,additive_inverse(c),bS_Ic) ),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f22,hypothesis,(
% 21.31/3.21 product(a,b,aPb) ),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f23,hypothesis,(
% 21.31/3.21 product(a,c,aPc) ),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f24,hypothesis,(
% 21.31/3.21 sum(aPb,additive_inverse(aPc),aPb_S_IaPc) ),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f25,negated_conjecture,(
% 21.31/3.21 ~ product(a,bS_Ic,aPb_S_IaPc) ),
% 21.31/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.31/3.21 fof(f36,plain,(
% 21.31/3.21 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f9])).
% 21.31/3.21 fof(f43,plain,(
% 21.31/3.21 ![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))),
% 21.31/3.21 inference(miniscoping,[status(thm)],[f13])).
% 21.31/3.21 fof(f44,plain,(
% 21.31/3.21 ![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))),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f43])).
% 21.31/3.21 fof(f53,plain,(
% 21.31/3.21 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X0,additive_inverse(X1),additive_inverse(X2)))),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f18])).
% 21.31/3.21 fof(f56,plain,(
% 21.31/3.21 sum(b,additive_inverse(c),bS_Ic)),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f21])).
% 21.31/3.21 fof(f57,plain,(
% 21.31/3.21 product(a,b,aPb)),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f22])).
% 21.31/3.21 fof(f58,plain,(
% 21.31/3.21 product(a,c,aPc)),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f23])).
% 21.31/3.21 fof(f59,plain,(
% 21.31/3.21 sum(aPb,additive_inverse(aPc),aPb_S_IaPc)),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f24])).
% 21.31/3.21 fof(f60,plain,(
% 21.31/3.21 ~product(a,bS_Ic,aPb_S_IaPc)),
% 21.31/3.21 inference(cnf_transformation,[status(thm)],[f25])).
% 21.31/3.21 fof(f345,plain,(
% 21.31/3.21 sum(additive_inverse(aPc),aPb,aPb_S_IaPc)),
% 21.31/3.21 inference(resolution,[status(thm)],[f36,f59])).
% 21.31/3.21 fof(f346,plain,(
% 21.31/3.21 sum(additive_inverse(c),b,bS_Ic)),
% 21.31/3.21 inference(resolution,[status(thm)],[f36,f56])).
% 21.31/3.21 fof(f815,plain,(
% 21.31/3.21 product(a,additive_inverse(c),additive_inverse(aPc))),
% 21.31/3.21 inference(resolution,[status(thm)],[f53,f58])).
% 21.31/3.21 fof(f907,plain,(
% 21.31/3.21 ![X0,X1,X2,X3]: (~product(a,X0,X1)|~product(a,X2,X3)|~sum(X0,X2,bS_Ic)|~sum(X1,X3,aPb_S_IaPc))),
% 21.31/3.21 inference(resolution,[status(thm)],[f44,f60])).
% 21.31/3.21 fof(f1172,plain,(
% 21.31/3.21 ![X0,X1]: (~product(a,X0,X1)|~sum(X0,b,bS_Ic)|~sum(X1,aPb,aPb_S_IaPc))),
% 21.31/3.21 inference(resolution,[status(thm)],[f907,f57])).
% 21.31/3.21 fof(f1836,plain,(
% 21.31/3.21 ![X0]: (~product(a,X0,additive_inverse(aPc))|~sum(X0,b,bS_Ic))),
% 21.31/3.21 inference(resolution,[status(thm)],[f1172,f345])).
% 21.31/3.21 fof(f1839,plain,(
% 21.31/3.21 ~sum(additive_inverse(c),b,bS_Ic)),
% 21.31/3.21 inference(resolution,[status(thm)],[f1836,f815])).
% 21.31/3.21 fof(f1849,plain,(
% 21.31/3.21 $false),
% 21.31/3.21 inference(forward_subsumption_resolution,[status(thm)],[f1839,f346])).
% 21.31/3.21 % SZS output end CNFRefutation for theBenchmark.p
% 1.54/3.23 % Elapsed time: 2.843036 seconds
% 1.54/3.23 % CPU time: 22.190326 seconds
% 1.54/3.23 % Total memory used: 86.975 MB
% 1.54/3.23 % Net memory used: 79.483 MB
%------------------------------------------------------------------------------