%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG037-1 : 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 : n009.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 02:05:11 PM UTC 2026
% Result : Unsatisfiable 3.24s 0.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG037-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n009.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 04:15:12 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 3.24/0.84 % Refutation found
% 3.24/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.24/0.84 % SZS output start CNFRefutation for theBenchmark
% 3.24/0.84 fof(f2,axiom,(
% 3.24/0.84 (![X]: (sum(X,additive_identity,X) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f3,axiom,(
% 3.24/0.84 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f4,axiom,(
% 3.24/0.84 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f5,axiom,(
% 3.24/0.84 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f6,axiom,(
% 3.24/0.84 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f8,axiom,(
% 3.24/0.84 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W)| sum(U,Z,W) ) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f9,axiom,(
% 3.24/0.84 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f12,axiom,(
% 3.24/0.84 (![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) ) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f16,axiom,(
% 3.24/0.84 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f18,hypothesis,(
% 3.24/0.84 product(a,b,d) ),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f19,hypothesis,(
% 3.24/0.84 product(a,additive_inverse(b),c) ),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f20,negated_conjecture,(
% 3.24/0.84 ~ sum(c,d,additive_identity) ),
% 3.24/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.84 fof(f22,plain,(
% 3.24/0.84 ![X0]: (sum(X0,additive_identity,X0))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f2])).
% 3.24/0.84 fof(f23,plain,(
% 3.24/0.84 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f3])).
% 3.24/0.84 fof(f24,plain,(
% 3.24/0.84 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f4])).
% 3.24/0.84 fof(f25,plain,(
% 3.24/0.84 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f5])).
% 3.24/0.84 fof(f26,plain,(
% 3.24/0.84 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f6])).
% 3.24/0.84 fof(f29,plain,(
% 3.24/0.84 ![U,Z,W]: ((![X,V]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(X,V,W)))|sum(U,Z,W))),
% 3.24/0.84 inference(miniscoping,[status(thm)],[f8])).
% 3.24/0.84 fof(f30,plain,(
% 3.24/0.84 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f29])).
% 3.24/0.84 fof(f31,plain,(
% 3.24/0.84 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f9])).
% 3.24/0.84 fof(f36,plain,(
% 3.24/0.84 ![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))),
% 3.24/0.84 inference(miniscoping,[status(thm)],[f12])).
% 3.24/0.84 fof(f37,plain,(
% 3.24/0.84 ![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))),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f36])).
% 3.24/0.84 fof(f44,plain,(
% 3.24/0.84 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 3.24/0.84 inference(miniscoping,[status(thm)],[f16])).
% 3.24/0.84 fof(f45,plain,(
% 3.24/0.84 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f44])).
% 3.24/0.84 fof(f48,plain,(
% 3.24/0.84 product(a,b,d)),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f18])).
% 3.24/0.84 fof(f49,plain,(
% 3.24/0.84 product(a,additive_inverse(b),c)),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f19])).
% 3.24/0.84 fof(f50,plain,(
% 3.24/0.84 ~sum(c,d,additive_identity)),
% 3.24/0.84 inference(cnf_transformation,[status(thm)],[f20])).
% 3.24/0.84 fof(f54,plain,(
% 3.24/0.84 ![X0,X1]: (~sum(X0,additive_identity,X1)|X0=X1)),
% 3.24/0.84 inference(resolution,[status(thm)],[f45,f22])).
% 3.24/0.84 fof(f59,plain,(
% 3.24/0.84 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(X3,X2,X4)|sum(add(X3,X0),X1,X4))),
% 3.24/0.84 inference(resolution,[status(thm)],[f24,f30])).
% 3.24/0.84 fof(f61,plain,(
% 3.24/0.84 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X0,X1)=X2)),
% 3.24/0.84 inference(resolution,[status(thm)],[f24,f45])).
% 3.24/0.84 fof(f62,plain,(
% 3.24/0.84 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 3.24/0.84 inference(resolution,[status(thm)],[f24,f31])).
% 3.24/0.84 fof(f83,plain,(
% 3.24/0.84 ![X0,X1,X2,X3]: (~product(a,X0,X1)|~sum(additive_inverse(b),X0,X2)|~product(a,X2,X3)|sum(c,X1,X3))),
% 3.24/0.84 inference(resolution,[status(thm)],[f37,f49])).
% 3.24/0.84 fof(f90,plain,(
% 3.24/0.84 ![X0]: (X0=add(X0,additive_identity))),
% 3.24/0.84 inference(resolution,[status(thm)],[f54,f24])).
% 3.24/0.84 fof(f104,plain,(
% 3.24/0.84 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X1,X0)=X2)),
% 3.24/0.84 inference(resolution,[status(thm)],[f62,f45])).
% 3.24/0.84 fof(f108,plain,(
% 3.24/0.84 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 3.24/0.84 inference(resolution,[status(thm)],[f61,f25])).
% 3.24/0.84 fof(f110,plain,(
% 3.24/0.84 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 3.24/0.84 inference(resolution,[status(thm)],[f61,f26])).
% 3.24/0.84 fof(f294,plain,(
% 3.24/0.84 ![X0,X1,X2]: (~sum(X0,additive_identity,X1)|sum(add(X0,additive_inverse(X2)),X2,X1))),
% 3.24/0.84 inference(resolution,[status(thm)],[f59,f25])).
% 3.24/0.84 fof(f478,plain,(
% 3.24/0.84 ![X0,X1]: (~sum(additive_inverse(b),b,X0)|~product(a,X0,X1)|sum(c,d,X1))),
% 3.24/0.84 inference(resolution,[status(thm)],[f83,f48])).
% 3.24/0.84 fof(f479,plain,(
% 3.24/0.84 ![X0,X1,X2]: (~sum(additive_inverse(b),X0,X1)|~product(a,X1,X2)|sum(c,multiply(a,X0),X2))),
% 3.24/0.84 inference(resolution,[status(thm)],[f83,f23])).
% 3.24/0.84 fof(f1438,plain,(
% 3.24/0.84 ![X0,X1]: (sum(add(X0,additive_inverse(X1)),X1,X0))),
% 3.24/0.84 inference(resolution,[status(thm)],[f294,f22])).
% 3.24/0.84 fof(f1463,plain,(
% 3.24/0.84 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 3.24/0.84 inference(resolution,[status(thm)],[f1438,f104])).
% 3.24/0.84 fof(f1465,plain,(
% 3.24/0.84 ![X0,X1]: (add(add(X0,additive_inverse(X1)),X1)=X0)),
% 3.24/0.84 inference(resolution,[status(thm)],[f1438,f61])).
% 3.24/0.84 fof(f1497,plain,(
% 3.24/0.84 ![X0]: (add(X0,additive_identity)=additive_inverse(additive_inverse(X0)))),
% 3.24/0.84 inference(paramodulation,[status(thm)],[f108,f1463])).
% 3.24/0.84 fof(f1547,plain,(
% 3.24/0.84 ![X0]: (X0=additive_inverse(additive_inverse(X0)))),
% 3.24/0.84 inference(forward_demodulation,[status(thm)],[f90,f1497])).
% 3.24/0.84 fof(f1583,plain,(
% 3.24/0.84 ![X0,X1]: (add(add(X0,X1),additive_inverse(X1))=X0)),
% 3.24/0.84 inference(paramodulation,[status(thm)],[f1547,f1465])).
% 3.24/0.84 fof(f2963,plain,(
% 3.24/0.84 ![X0]: (~product(a,additive_identity,X0)|sum(c,d,X0))),
% 3.24/0.84 inference(resolution,[status(thm)],[f478,f25])).
% 3.24/0.84 fof(f2976,plain,(
% 3.24/0.84 ![X0]: (~product(a,additive_inverse(b),X0)|sum(c,multiply(a,additive_identity),X0))),
% 3.24/0.84 inference(resolution,[status(thm)],[f479,f22])).
% 3.24/0.84 fof(f7387,plain,(
% 3.24/0.84 sum(c,d,multiply(a,additive_identity))),
% 3.24/0.84 inference(resolution,[status(thm)],[f2963,f23])).
% 3.24/0.84 fof(f7629,plain,(
% 3.24/0.84 sum(c,multiply(a,additive_identity),c)),
% 3.24/0.84 inference(resolution,[status(thm)],[f2976,f49])).
% 3.24/0.84 fof(f7685,plain,(
% 3.24/0.84 add(multiply(a,additive_identity),c)=c),
% 3.24/0.84 inference(resolution,[status(thm)],[f7629,f104])).
% 3.24/0.84 fof(f7736,plain,(
% 3.24/0.84 add(c,additive_inverse(c))=multiply(a,additive_identity)),
% 3.24/0.84 inference(paramodulation,[status(thm)],[f7685,f1583])).
% 3.24/0.84 fof(f7785,plain,(
% 3.24/0.84 additive_identity=multiply(a,additive_identity)),
% 3.24/0.84 inference(forward_demodulation,[status(thm)],[f110,f7736])).
% 3.24/0.84 fof(f7797,plain,(
% 3.24/0.84 sum(c,d,additive_identity)),
% 3.24/0.84 inference(backward_demodulation,[status(thm)],[f7785,f7387])).
% 3.24/0.84 fof(f7803,plain,(
% 3.24/0.84 $false),
% 3.24/0.84 inference(forward_subsumption_resolution,[status(thm)],[f7797,f50])).
% 3.24/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 3.24/0.86 % Elapsed time: 0.491459 seconds
% 3.24/0.86 % CPU time: 3.670293 seconds
% 3.24/0.86 % Total memory used: 67.521 MB
% 3.24/0.86 % Net memory used: 62.758 MB
%------------------------------------------------------------------------------