%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD013-3 : 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 : n017.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 7.38s 1.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD013-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 % Computer : n017.cluster.edu
% 0.19/0.42 % Model : x86_64 x86_64
% 0.19/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.42 % Memory : 8046.5625MB
% 0.19/0.42 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 15:32:57 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.44 % Drodi V4.1.1
% 7.38/1.59 % Refutation found
% 7.38/1.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.38/1.59 % SZS output start CNFRefutation for theBenchmark
% 7.38/1.59 fof(f2,axiom,(
% 7.38/1.59 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f5,axiom,(
% 7.38/1.59 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f14,axiom,(
% 7.38/1.59 defined(additive_identity) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f19,axiom,(
% 7.38/1.59 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f21,axiom,(
% 7.38/1.59 (![X,Y]: (( sum(additive_identity,X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f23,axiom,(
% 7.38/1.59 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f24,axiom,(
% 7.38/1.59 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f28,hypothesis,(
% 7.38/1.59 defined(b) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f29,hypothesis,(
% 7.38/1.59 defined(c) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f30,hypothesis,(
% 7.38/1.59 defined(d) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f31,negated_conjecture,(
% 7.38/1.59 sum(additive_identity,a,b) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f32,negated_conjecture,(
% 7.38/1.59 sum(additive_identity,c,d) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f33,negated_conjecture,(
% 7.38/1.59 ~ sum(a,c,add(d,b)) ),
% 7.38/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.38/1.59 fof(f36,plain,(
% 7.38/1.59 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 7.38/1.59 inference(miniscoping,[status(thm)],[f2])).
% 7.38/1.59 fof(f37,plain,(
% 7.38/1.59 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f36])).
% 7.38/1.59 fof(f40,plain,(
% 7.38/1.59 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f5])).
% 7.38/1.59 fof(f54,plain,(
% 7.38/1.59 defined(additive_identity)),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f14])).
% 7.38/1.59 fof(f60,plain,(
% 7.38/1.59 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 7.38/1.59 inference(miniscoping,[status(thm)],[f19])).
% 7.38/1.59 fof(f61,plain,(
% 7.38/1.59 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f60])).
% 7.38/1.59 fof(f64,plain,(
% 7.38/1.59 ![X0,X1]: (sum(additive_identity,X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f21])).
% 7.38/1.59 fof(f67,plain,(
% 7.38/1.59 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 7.38/1.59 inference(miniscoping,[status(thm)],[f23])).
% 7.38/1.59 fof(f68,plain,(
% 7.38/1.59 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f67])).
% 7.38/1.59 fof(f69,plain,(
% 7.38/1.59 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 7.38/1.59 inference(miniscoping,[status(thm)],[f24])).
% 7.38/1.59 fof(f70,plain,(
% 7.38/1.59 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f69])).
% 7.38/1.59 fof(f74,plain,(
% 7.38/1.59 defined(b)),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f28])).
% 7.38/1.59 fof(f75,plain,(
% 7.38/1.59 defined(c)),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f29])).
% 7.38/1.59 fof(f76,plain,(
% 7.38/1.59 defined(d)),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f30])).
% 7.38/1.59 fof(f77,plain,(
% 7.38/1.59 sum(additive_identity,a,b)),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f31])).
% 7.38/1.59 fof(f78,plain,(
% 7.38/1.59 sum(additive_identity,c,d)),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f32])).
% 7.38/1.59 fof(f79,plain,(
% 7.38/1.59 ~sum(a,c,add(d,b))),
% 7.38/1.59 inference(cnf_transformation,[status(thm)],[f33])).
% 7.38/1.59 fof(f85,plain,(
% 7.38/1.59 ~sum(c,a,add(d,b))),
% 7.38/1.59 inference(resolution,[status(thm)],[f40,f79])).
% 7.38/1.59 fof(f87,plain,(
% 7.38/1.59 ![X0,X1,X2]: (~sum(X0,X1,c)|~sum(X1,a,X2)|~sum(X0,X2,add(d,b)))),
% 7.38/1.60 inference(resolution,[status(thm)],[f85,f37])).
% 7.38/1.60 fof(f113,plain,(
% 7.38/1.60 ![X0,X1,X2]: (~sum(X0,a,X1)|~sum(X2,X1,add(d,b))|~sum(X0,X2,c))),
% 7.38/1.60 inference(resolution,[status(thm)],[f87,f40])).
% 7.38/1.60 fof(f123,plain,(
% 7.38/1.60 ![X0]: (less_or_equal(X0,c)|less_or_equal(c,X0)|~defined(X0))),
% 7.38/1.60 inference(resolution,[status(thm)],[f68,f75])).
% 7.38/1.60 fof(f126,plain,(
% 7.38/1.60 ![X0]: (less_or_equal(X0,additive_identity)|less_or_equal(additive_identity,X0)|~defined(X0))),
% 7.38/1.60 inference(resolution,[status(thm)],[f68,f54])).
% 7.38/1.60 fof(f198,plain,(
% 7.38/1.60 less_or_equal(c,c)|less_or_equal(c,c)),
% 7.38/1.60 inference(resolution,[status(thm)],[f123,f75])).
% 7.38/1.60 fof(f202,plain,(
% 7.38/1.60 less_or_equal(c,c)),
% 7.38/1.60 inference(duplicate_literals_removal,[status(thm)],[f198])).
% 7.38/1.60 fof(f203,plain,(
% 7.38/1.60 sum(additive_identity,c,c)|~less_or_equal(c,c)),
% 7.38/1.60 inference(resolution,[status(thm)],[f202,f64])).
% 7.38/1.60 fof(f208,plain,(
% 7.38/1.60 sum(additive_identity,c,c)),
% 7.38/1.60 inference(forward_subsumption_resolution,[status(thm)],[f203,f202])).
% 7.38/1.60 fof(f223,plain,(
% 7.38/1.60 ![X0,X1,X2,X3,X4]: (~less_or_equal(X0,X1)|~sum(X0,X2,X3)|~sum(X1,X2,X4)|sum(additive_identity,X4,X3)|~less_or_equal(X4,X3))),
% 7.38/1.60 inference(resolution,[status(thm)],[f70,f64])).
% 7.38/1.60 fof(f355,plain,(
% 7.38/1.60 less_or_equal(additive_identity,additive_identity)|less_or_equal(additive_identity,additive_identity)),
% 7.38/1.60 inference(resolution,[status(thm)],[f126,f54])).
% 7.38/1.60 fof(f356,plain,(
% 7.38/1.60 less_or_equal(additive_identity,additive_identity)),
% 7.38/1.60 inference(duplicate_literals_removal,[status(thm)],[f355])).
% 7.38/1.60 fof(f708,plain,(
% 7.38/1.60 ![X0,X1]: (~less_or_equal(X0,additive_identity)|~sum(X0,c,X1)|sum(additive_identity,d,X1)|~less_or_equal(d,X1))),
% 7.38/1.60 inference(resolution,[status(thm)],[f223,f78])).
% 7.38/1.60 fof(f732,plain,(
% 7.38/1.60 ![X0]: (~sum(additive_identity,c,X0)|sum(additive_identity,d,X0)|~less_or_equal(d,X0))),
% 7.38/1.60 inference(resolution,[status(thm)],[f708,f356])).
% 7.38/1.60 fof(f810,plain,(
% 7.38/1.60 sum(additive_identity,d,c)|~less_or_equal(d,c)),
% 7.38/1.60 inference(resolution,[status(thm)],[f732,f208])).
% 7.38/1.60 fof(f822,plain,(
% 7.38/1.60 ![X0]: (~less_or_equal(d,c)|~sum(additive_identity,a,X0)|~sum(d,X0,add(d,b)))),
% 7.38/1.60 inference(resolution,[status(thm)],[f810,f113])).
% 7.38/1.60 fof(f1748,plain,(
% 7.38/1.60 ~less_or_equal(d,c)|~sum(additive_identity,a,b)|~defined(d)|~defined(b)),
% 7.38/1.60 inference(resolution,[status(thm)],[f822,f61])).
% 7.38/1.60 fof(f1752,plain,(
% 7.38/1.60 ~less_or_equal(d,c)|~defined(d)|~defined(b)),
% 7.38/1.60 inference(forward_subsumption_resolution,[status(thm)],[f1748,f77])).
% 7.38/1.60 fof(f1753,plain,(
% 7.38/1.60 ~less_or_equal(d,c)|~defined(b)),
% 7.38/1.60 inference(forward_subsumption_resolution,[status(thm)],[f1752,f76])).
% 7.38/1.60 fof(f1754,plain,(
% 7.38/1.60 ~less_or_equal(d,c)),
% 7.38/1.60 inference(resolution,[status(thm)],[f1753,f74])).
% 7.38/1.60 fof(f1767,plain,(
% 7.38/1.60 ![X0,X1,X2]: (~less_or_equal(X0,X1)|~sum(X0,X2,d)|~sum(X1,X2,c))),
% 7.38/1.60 inference(resolution,[status(thm)],[f1754,f70])).
% 7.38/1.60 fof(f1846,plain,(
% 7.38/1.60 ![X0]: (~less_or_equal(X0,additive_identity)|~sum(X0,c,d))),
% 7.38/1.60 inference(resolution,[status(thm)],[f1767,f208])).
% 7.38/1.60 fof(f1858,plain,(
% 7.38/1.60 ~less_or_equal(additive_identity,additive_identity)),
% 7.38/1.60 inference(resolution,[status(thm)],[f1846,f78])).
% 7.38/1.60 fof(f1862,plain,(
% 7.38/1.60 $false),
% 7.38/1.60 inference(forward_subsumption_resolution,[status(thm)],[f1858,f356])).
% 7.38/1.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.25/1.63 % Elapsed time: 1.184432 seconds
% 1.25/1.63 % CPU time: 7.945594 seconds
% 1.25/1.63 % Total memory used: 66.521 MB
% 1.25/1.63 % Net memory used: 62.589 MB
%------------------------------------------------------------------------------