%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG003-1 : 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 : n013.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 02:05:05 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 04:09:21 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.53 % Refutation found
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.53 fof(f2,axiom,(
% 0.18/0.53 (![X]: (sum(X,additive_identity,X) ))),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f4,axiom,(
% 0.18/0.53 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f6,axiom,(
% 0.18/0.53 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f7,axiom,(
% 0.18/0.53 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W)| sum(X,V,W) ) ))),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f9,axiom,(
% 0.18/0.53 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f16,axiom,(
% 0.18/0.53 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f18,hypothesis,(
% 0.18/0.53 sum(a,c,d) ),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f19,hypothesis,(
% 0.18/0.53 sum(b,c,d) ),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f20,negated_conjecture,(
% 0.18/0.53 a != b ),
% 0.18/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.53 fof(f22,plain,(
% 0.18/0.53 ![X0]: (sum(X0,additive_identity,X0))),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.53 fof(f24,plain,(
% 0.18/0.53 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.53 fof(f26,plain,(
% 0.18/0.53 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.53 fof(f27,plain,(
% 0.18/0.53 ![X,V,W]: ((![U,Z]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(U,Z,W)))|sum(X,V,W))),
% 0.18/0.53 inference(miniscoping,[status(thm)],[f7])).
% 0.18/0.53 fof(f28,plain,(
% 0.18/0.53 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X2,X3,X5)|sum(X0,X4,X5))),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.53 fof(f31,plain,(
% 0.18/0.53 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.53 fof(f44,plain,(
% 0.18/0.53 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.18/0.53 inference(miniscoping,[status(thm)],[f16])).
% 0.18/0.53 fof(f45,plain,(
% 0.18/0.53 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f44])).
% 0.18/0.53 fof(f48,plain,(
% 0.18/0.53 sum(a,c,d)),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f18])).
% 0.18/0.53 fof(f49,plain,(
% 0.18/0.53 sum(b,c,d)),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f19])).
% 0.18/0.53 fof(f50,plain,(
% 0.18/0.53 ~a=b),
% 0.18/0.53 inference(cnf_transformation,[status(thm)],[f20])).
% 0.18/0.53 fof(f57,plain,(
% 0.18/0.53 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 0.18/0.53 inference(resolution,[status(thm)],[f31,f24])).
% 0.18/0.53 fof(f68,plain,(
% 0.18/0.53 ![X0,X1]: (~sum(X0,additive_identity,X1)|X0=X1)),
% 0.18/0.53 inference(resolution,[status(thm)],[f45,f22])).
% 0.18/0.53 fof(f80,plain,(
% 0.18/0.53 ![X0,X1,X2]: (~sum(c,X0,X1)|~sum(d,X0,X2)|sum(b,X1,X2))),
% 0.18/0.53 inference(resolution,[status(thm)],[f28,f49])).
% 0.18/0.53 fof(f81,plain,(
% 0.18/0.53 ![X0,X1,X2]: (~sum(c,X0,X1)|~sum(d,X0,X2)|sum(a,X1,X2))),
% 0.18/0.53 inference(resolution,[status(thm)],[f28,f48])).
% 0.18/0.53 fof(f119,plain,(
% 0.18/0.53 ![X0]: (~sum(d,additive_inverse(c),X0)|sum(b,additive_identity,X0))),
% 0.18/0.53 inference(resolution,[status(thm)],[f80,f26])).
% 0.18/0.53 fof(f157,plain,(
% 0.18/0.53 ![X0]: (~sum(d,additive_inverse(c),X0)|sum(a,additive_identity,X0))),
% 0.18/0.53 inference(resolution,[status(thm)],[f81,f26])).
% 0.18/0.53 fof(f355,plain,(
% 0.18/0.53 sum(b,additive_identity,add(additive_inverse(c),d))),
% 0.18/0.53 inference(resolution,[status(thm)],[f119,f57])).
% 0.18/0.53 fof(f554,plain,(
% 0.18/0.53 b=add(additive_inverse(c),d)),
% 0.18/0.53 inference(resolution,[status(thm)],[f355,f68])).
% 0.18/0.53 fof(f585,plain,(
% 0.18/0.53 sum(d,additive_inverse(c),b)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f554,f57])).
% 0.18/0.53 fof(f602,plain,(
% 0.18/0.53 sum(a,additive_identity,b)),
% 0.18/0.53 inference(resolution,[status(thm)],[f585,f157])).
% 0.18/0.53 fof(f626,plain,(
% 0.18/0.53 a=b),
% 0.18/0.53 inference(resolution,[status(thm)],[f602,f68])).
% 0.18/0.53 fof(f639,plain,(
% 0.18/0.53 $false),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f626,f50])).
% 0.18/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.57 % Elapsed time: 0.110351 seconds
% 0.26/0.57 % CPU time: 0.341957 seconds
% 0.26/0.57 % Total memory used: 25.317 MB
% 0.26/0.57 % Net memory used: 25.072 MB
%------------------------------------------------------------------------------