%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD016-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:22:18 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD016-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.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 15:37:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.53 % Refutation found
% 0.09/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.53 fof(f1,axiom,(
% 0.09/0.53 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f2,axiom,(
% 0.09/0.53 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f3,axiom,(
% 0.09/0.53 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f4,axiom,(
% 0.09/0.53 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f5,axiom,(
% 0.09/0.53 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f27,hypothesis,(
% 0.09/0.53 defined(a) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f28,hypothesis,(
% 0.09/0.53 defined(u) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f29,hypothesis,(
% 0.09/0.53 defined(v) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f32,negated_conjecture,(
% 0.09/0.53 sum(a,u,q) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f33,negated_conjecture,(
% 0.09/0.53 sum(a,v,r) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f34,negated_conjecture,(
% 0.09/0.53 sum(additive_identity,q,r) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f35,negated_conjecture,(
% 0.09/0.53 ~ sum(additive_identity,u,v) ),
% 0.09/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f36,plain,(
% 0.09/0.53 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.09/0.53 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.53 fof(f37,plain,(
% 0.09/0.53 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.53 fof(f38,plain,(
% 0.09/0.53 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.09/0.53 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.53 fof(f39,plain,(
% 0.09/0.53 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.53 fof(f40,plain,(
% 0.09/0.53 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.53 fof(f41,plain,(
% 0.09/0.53 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.53 fof(f42,plain,(
% 0.09/0.53 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.53 fof(f75,plain,(
% 0.09/0.53 defined(a)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.53 fof(f76,plain,(
% 0.09/0.53 defined(u)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.53 fof(f77,plain,(
% 0.09/0.53 defined(v)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.53 fof(f80,plain,(
% 0.09/0.53 sum(a,u,q)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.53 fof(f81,plain,(
% 0.09/0.53 sum(a,v,r)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.53 fof(f82,plain,(
% 0.09/0.53 sum(additive_identity,q,r)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.53 fof(f83,plain,(
% 0.09/0.53 ~sum(additive_identity,u,v)),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.53 fof(f85,plain,(
% 0.09/0.53 ![X0,X1,X2]: (sum(X0,r,X1)|~sum(X0,a,X2)|~sum(X2,v,X1))),
% 0.09/0.53 inference(resolution,[status(thm)],[f37,f81])).
% 0.09/0.53 fof(f87,plain,(
% 0.09/0.53 ![X0,X1,X2]: (sum(X0,q,X1)|~sum(X0,a,X2)|~sum(X2,u,X1))),
% 0.09/0.53 inference(resolution,[status(thm)],[f37,f80])).
% 0.09/0.53 fof(f94,plain,(
% 0.09/0.53 sum(additive_identity,v,v)),
% 0.09/0.53 inference(resolution,[status(thm)],[f40,f77])).
% 0.09/0.53 fof(f95,plain,(
% 0.09/0.53 sum(additive_identity,u,u)),
% 0.09/0.53 inference(resolution,[status(thm)],[f40,f76])).
% 0.09/0.53 fof(f102,plain,(
% 0.09/0.53 sum(additive_inverse(a),a,additive_identity)),
% 0.09/0.53 inference(resolution,[status(thm)],[f41,f75])).
% 0.09/0.53 fof(f301,plain,(
% 0.09/0.53 sum(q,additive_identity,r)),
% 0.09/0.53 inference(resolution,[status(thm)],[f82,f42])).
% 0.09/0.53 fof(f324,plain,(
% 0.09/0.53 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X2,q,X0)|~sum(X2,r,X1))),
% 0.09/0.53 inference(resolution,[status(thm)],[f301,f39])).
% 0.09/0.53 fof(f469,plain,(
% 0.09/0.53 ![X0]: (sum(X0,r,v)|~sum(X0,a,additive_identity))),
% 0.09/0.53 inference(resolution,[status(thm)],[f94,f85])).
% 0.09/0.53 fof(f483,plain,(
% 0.09/0.53 ![X0]: (sum(X0,q,u)|~sum(X0,a,additive_identity))),
% 0.09/0.53 inference(resolution,[status(thm)],[f95,f87])).
% 0.09/0.53 fof(f910,plain,(
% 0.09/0.53 sum(additive_inverse(a),q,u)),
% 0.09/0.53 inference(resolution,[status(thm)],[f102,f483])).
% 0.09/0.53 fof(f911,plain,(
% 0.09/0.53 sum(additive_inverse(a),r,v)),
% 0.09/0.53 inference(resolution,[status(thm)],[f102,f469])).
% 0.09/0.53 fof(f1061,plain,(
% 0.09/0.53 ![X0]: (sum(X0,additive_identity,v)|~sum(additive_inverse(a),q,X0))),
% 0.09/0.53 inference(resolution,[status(thm)],[f911,f324])).
% 0.09/0.53 fof(f1168,plain,(
% 0.09/0.53 sum(u,additive_identity,v)),
% 0.09/0.53 inference(resolution,[status(thm)],[f1061,f910])).
% 0.09/0.53 fof(f1193,plain,(
% 0.09/0.53 sum(additive_identity,u,v)),
% 0.09/0.53 inference(resolution,[status(thm)],[f1168,f42])).
% 0.09/0.53 fof(f1200,plain,(
% 0.09/0.53 $false),
% 0.09/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1193,f83])).
% 0.09/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.53 % Elapsed time: 0.156624 seconds
% 0.09/0.53 % CPU time: 0.990154 seconds
% 0.09/0.53 % Total memory used: 30.315 MB
% 0.09/0.53 % Net memory used: 29.587 MB
%------------------------------------------------------------------------------