%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD014-3 : 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 : 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 12:22:18 PM UTC 2026
% Result : Unsatisfiable 13.69s 2.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD014-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 15:39:29 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 13.69/2.21 % Refutation found
% 13.69/2.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.69/2.21 % SZS output start CNFRefutation for theBenchmark
% 13.69/2.21 fof(f1,axiom,(
% 13.69/2.21 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f2,axiom,(
% 13.69/2.21 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f3,axiom,(
% 13.69/2.21 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f4,axiom,(
% 13.69/2.21 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f5,axiom,(
% 13.69/2.21 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f14,axiom,(
% 13.69/2.21 defined(additive_identity) ),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f15,axiom,(
% 13.69/2.21 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f27,hypothesis,(
% 13.69/2.21 defined(a) ),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f28,hypothesis,(
% 13.69/2.21 defined(b) ),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f29,negated_conjecture,(
% 13.69/2.21 sum(additive_identity,a,b) ),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f30,negated_conjecture,(
% 13.69/2.21 ~ sum(additive_identity,additive_inverse(a),additive_inverse(b)) ),
% 13.69/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.69/2.21 fof(f31,plain,(
% 13.69/2.21 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 13.69/2.21 inference(miniscoping,[status(thm)],[f1])).
% 13.69/2.21 fof(f32,plain,(
% 13.69/2.21 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f31])).
% 13.69/2.21 fof(f33,plain,(
% 13.69/2.21 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 13.69/2.21 inference(miniscoping,[status(thm)],[f2])).
% 13.69/2.21 fof(f34,plain,(
% 13.69/2.21 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f33])).
% 13.69/2.21 fof(f35,plain,(
% 13.69/2.21 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f3])).
% 13.69/2.21 fof(f36,plain,(
% 13.69/2.21 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f4])).
% 13.69/2.21 fof(f37,plain,(
% 13.69/2.21 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f5])).
% 13.69/2.21 fof(f51,plain,(
% 13.69/2.21 defined(additive_identity)),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f14])).
% 13.69/2.21 fof(f52,plain,(
% 13.69/2.21 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f15])).
% 13.69/2.21 fof(f70,plain,(
% 13.69/2.21 defined(a)),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f27])).
% 13.69/2.21 fof(f71,plain,(
% 13.69/2.21 defined(b)),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f28])).
% 13.69/2.21 fof(f72,plain,(
% 13.69/2.21 sum(additive_identity,a,b)),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f29])).
% 13.69/2.21 fof(f73,plain,(
% 13.69/2.21 ~sum(additive_identity,additive_inverse(a),additive_inverse(b))),
% 13.69/2.21 inference(cnf_transformation,[status(thm)],[f30])).
% 13.69/2.21 fof(f75,plain,(
% 13.69/2.21 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,additive_identity,X2)|~sum(X2,a,X1))),
% 13.69/2.21 inference(resolution,[status(thm)],[f32,f72])).
% 13.69/2.21 fof(f77,plain,(
% 13.69/2.21 defined(additive_inverse(b))),
% 13.69/2.21 inference(resolution,[status(thm)],[f52,f71])).
% 13.69/2.21 fof(f83,plain,(
% 13.69/2.21 sum(additive_identity,a,a)),
% 13.69/2.21 inference(resolution,[status(thm)],[f35,f70])).
% 13.69/2.21 fof(f84,plain,(
% 13.69/2.21 sum(additive_identity,additive_identity,additive_identity)),
% 13.69/2.21 inference(resolution,[status(thm)],[f35,f51])).
% 13.69/2.21 fof(f87,plain,(
% 13.69/2.21 sum(additive_identity,additive_inverse(b),additive_inverse(b))),
% 13.69/2.21 inference(resolution,[status(thm)],[f77,f35])).
% 13.69/2.21 fof(f100,plain,(
% 13.69/2.21 sum(additive_inverse(b),b,additive_identity)),
% 13.69/2.21 inference(resolution,[status(thm)],[f36,f71])).
% 13.69/2.21 fof(f101,plain,(
% 13.69/2.21 sum(additive_inverse(a),a,additive_identity)),
% 13.69/2.21 inference(resolution,[status(thm)],[f36,f70])).
% 13.69/2.21 fof(f103,plain,(
% 13.69/2.21 sum(a,additive_identity,b)),
% 12.21/2.26 inference(resolution,[status(thm)],[f37,f72])).
% 12.21/2.26 fof(f542,plain,(
% 12.21/2.26 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,a,X2)|~sum(X2,additive_identity,X1))),
% 12.21/2.26 inference(resolution,[status(thm)],[f103,f32])).
% 12.21/2.26 fof(f582,plain,(
% 12.21/2.26 ![X0]: (sum(X0,b,a)|~sum(X0,additive_identity,additive_identity))),
% 12.21/2.26 inference(resolution,[status(thm)],[f83,f75])).
% 12.21/2.26 fof(f596,plain,(
% 12.21/2.26 sum(additive_identity,b,a)),
% 12.21/2.26 inference(resolution,[status(thm)],[f84,f582])).
% 12.21/2.26 fof(f617,plain,(
% 12.21/2.26 sum(b,additive_identity,a)),
% 12.21/2.26 inference(resolution,[status(thm)],[f596,f37])).
% 12.21/2.26 fof(f634,plain,(
% 12.21/2.26 ![X0,X1,X2]: (sum(X0,a,X1)|~sum(X0,b,X2)|~sum(X2,additive_identity,X1))),
% 12.21/2.26 inference(resolution,[status(thm)],[f617,f32])).
% 12.21/2.26 fof(f1199,plain,(
% 12.21/2.26 ![X0]: (sum(additive_inverse(b),a,X0)|~sum(additive_identity,additive_identity,X0))),
% 12.21/2.26 inference(resolution,[status(thm)],[f634,f100])).
% 12.21/2.26 fof(f1220,plain,(
% 12.21/2.26 sum(additive_inverse(b),a,additive_identity)),
% 12.21/2.26 inference(resolution,[status(thm)],[f1199,f84])).
% 12.21/2.26 fof(f1227,plain,(
% 12.21/2.26 sum(a,additive_inverse(b),additive_identity)),
% 12.21/2.26 inference(resolution,[status(thm)],[f1220,f37])).
% 12.21/2.26 fof(f1249,plain,(
% 12.21/2.26 ![X0,X1,X2]: (sum(X0,additive_inverse(b),X1)|~sum(X2,a,X0)|~sum(X2,additive_identity,X1))),
% 12.21/2.26 inference(resolution,[status(thm)],[f1227,f34])).
% 12.21/2.26 fof(f1273,plain,(
% 12.21/2.26 ![X0]: (sum(b,additive_inverse(b),X0)|~sum(additive_identity,additive_identity,X0))),
% 12.21/2.26 inference(resolution,[status(thm)],[f1249,f72])).
% 12.21/2.26 fof(f1275,plain,(
% 12.21/2.26 sum(b,additive_inverse(b),additive_identity)),
% 12.21/2.26 inference(resolution,[status(thm)],[f1273,f84])).
% 12.21/2.26 fof(f1288,plain,(
% 12.21/2.26 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X0,b,X2)|~sum(X2,additive_inverse(b),X1))),
% 12.21/2.26 inference(resolution,[status(thm)],[f1275,f32])).
% 12.21/2.26 fof(f1307,plain,(
% 12.21/2.26 ![X0]: (sum(additive_inverse(a),b,X0)|~sum(additive_identity,additive_identity,X0))),
% 12.21/2.26 inference(resolution,[status(thm)],[f101,f542])).
% 12.21/2.26 fof(f1513,plain,(
% 12.21/2.26 sum(additive_inverse(a),b,additive_identity)),
% 12.21/2.26 inference(resolution,[status(thm)],[f1307,f84])).
% 12.21/2.26 fof(f9535,plain,(
% 12.21/2.26 ![X0]: (sum(X0,additive_identity,additive_inverse(b))|~sum(X0,b,additive_identity))),
% 12.21/2.26 inference(resolution,[status(thm)],[f87,f1288])).
% 12.21/2.26 fof(f10436,plain,(
% 12.21/2.26 sum(additive_inverse(a),additive_identity,additive_inverse(b))),
% 12.21/2.26 inference(resolution,[status(thm)],[f9535,f1513])).
% 12.21/2.26 fof(f10457,plain,(
% 12.21/2.26 sum(additive_identity,additive_inverse(a),additive_inverse(b))),
% 12.21/2.26 inference(resolution,[status(thm)],[f10436,f37])).
% 12.21/2.26 fof(f10468,plain,(
% 12.21/2.26 $false),
% 12.21/2.26 inference(forward_subsumption_resolution,[status(thm)],[f10457,f73])).
% 12.21/2.26 % SZS output end CNFRefutation for theBenchmark.p
% 12.21/2.26 % Elapsed time: 1.909547 seconds
% 12.21/2.26 % CPU time: 14.720098 seconds
% 12.21/2.26 % Total memory used: 111.331 MB
% 12.21/2.26 % Net memory used: 105.880 MB
%------------------------------------------------------------------------------