%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD015-3 : 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 : n010.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 0.19s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD015-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % Computer : n010.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Mon Sep 21 15:37:40 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.40 % Drodi V4.1.1
% 0.19/0.56 % Refutation found
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.56 fof(f1,axiom,(
% 0.19/0.56 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f2,axiom,(
% 0.19/0.56 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f3,axiom,(
% 0.19/0.56 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f4,axiom,(
% 0.19/0.56 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f5,axiom,(
% 0.19/0.56 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f14,axiom,(
% 0.19/0.56 defined(additive_identity) ),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f27,hypothesis,(
% 0.19/0.56 defined(a) ),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f28,hypothesis,(
% 0.19/0.56 defined(b) ),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f29,negated_conjecture,(
% 0.19/0.56 sum(additive_identity,additive_inverse(a),additive_inverse(b)) ),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f30,negated_conjecture,(
% 0.19/0.56 ~ sum(additive_identity,a,b) ),
% 0.19/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f31,plain,(
% 0.19/0.56 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.19/0.56 inference(miniscoping,[status(thm)],[f1])).
% 0.19/0.56 fof(f32,plain,(
% 0.19/0.56 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f31])).
% 0.19/0.56 fof(f33,plain,(
% 0.19/0.56 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.19/0.56 inference(miniscoping,[status(thm)],[f2])).
% 0.19/0.56 fof(f34,plain,(
% 0.19/0.56 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f33])).
% 0.19/0.56 fof(f35,plain,(
% 0.19/0.56 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f3])).
% 0.19/0.56 fof(f36,plain,(
% 0.19/0.56 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.56 fof(f37,plain,(
% 0.19/0.56 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.56 fof(f51,plain,(
% 0.19/0.56 defined(additive_identity)),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.56 fof(f70,plain,(
% 0.19/0.56 defined(a)),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f27])).
% 0.19/0.56 fof(f71,plain,(
% 0.19/0.56 defined(b)),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f28])).
% 0.19/0.56 fof(f72,plain,(
% 0.19/0.56 sum(additive_identity,additive_inverse(a),additive_inverse(b))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f29])).
% 0.19/0.56 fof(f73,plain,(
% 0.19/0.56 ~sum(additive_identity,a,b)),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f30])).
% 0.19/0.56 fof(f75,plain,(
% 0.19/0.56 ![X0,X1,X2]: (sum(additive_inverse(b),X0,X1)|~sum(additive_inverse(a),X0,X2)|~sum(additive_identity,X2,X1))),
% 0.19/0.57 inference(resolution,[status(thm)],[f34,f72])).
% 0.19/0.57 fof(f77,plain,(
% 0.19/0.57 sum(additive_identity,additive_identity,additive_identity)),
% 0.19/0.57 inference(resolution,[status(thm)],[f35,f51])).
% 0.19/0.57 fof(f78,plain,(
% 0.19/0.57 sum(additive_inverse(a),a,additive_identity)),
% 0.19/0.57 inference(resolution,[status(thm)],[f36,f70])).
% 0.19/0.57 fof(f83,plain,(
% 0.19/0.57 sum(additive_inverse(b),b,additive_identity)),
% 0.19/0.57 inference(resolution,[status(thm)],[f71,f36])).
% 0.19/0.57 fof(f84,plain,(
% 0.19/0.57 sum(additive_identity,b,b)),
% 0.19/0.57 inference(resolution,[status(thm)],[f71,f35])).
% 0.19/0.57 fof(f591,plain,(
% 0.19/0.57 ![X0]: (sum(additive_inverse(b),a,X0)|~sum(additive_identity,additive_identity,X0))),
% 0.19/0.57 inference(resolution,[status(thm)],[f78,f75])).
% 0.19/0.57 fof(f598,plain,(
% 0.19/0.57 sum(additive_inverse(b),a,additive_identity)),
% 0.19/0.57 inference(resolution,[status(thm)],[f591,f77])).
% 0.19/0.57 fof(f605,plain,(
% 0.19/0.57 sum(a,additive_inverse(b),additive_identity)),
% 0.19/0.57 inference(resolution,[status(thm)],[f598,f37])).
% 0.19/0.57 fof(f612,plain,(
% 0.19/0.57 ![X0,X1,X2]: (sum(a,X0,X1)|~sum(additive_inverse(b),X2,X0)|~sum(additive_identity,X2,X1))),
% 0.19/0.58 inference(resolution,[status(thm)],[f605,f32])).
% 0.19/0.58 fof(f640,plain,(
% 0.19/0.58 ![X0]: (sum(a,additive_identity,X0)|~sum(additive_identity,b,X0))),
% 0.19/0.58 inference(resolution,[status(thm)],[f83,f612])).
% 0.19/0.58 fof(f651,plain,(
% 0.19/0.58 sum(a,additive_identity,b)),
% 0.19/0.58 inference(resolution,[status(thm)],[f84,f640])).
% 0.19/0.58 fof(f752,plain,(
% 0.19/0.58 sum(additive_identity,a,b)),
% 0.19/0.58 inference(resolution,[status(thm)],[f651,f37])).
% 0.19/0.58 fof(f755,plain,(
% 0.19/0.58 $false),
% 0.19/0.58 inference(forward_subsumption_resolution,[status(thm)],[f752,f73])).
% 0.19/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.62 % Elapsed time: 0.212253 seconds
% 0.19/0.62 % CPU time: 1.105076 seconds
% 0.19/0.62 % Total memory used: 29.281 MB
% 0.19/0.62 % Net memory used: 28.605 MB
%------------------------------------------------------------------------------