%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD066-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:22:29 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD066-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:44:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,axiom,(
% 0.13/0.44 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f3,axiom,(
% 0.13/0.44 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f4,axiom,(
% 0.13/0.44 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f5,axiom,(
% 0.13/0.44 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f24,axiom,(
% 0.13/0.44 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f27,hypothesis,(
% 0.13/0.44 defined(a) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f28,hypothesis,(
% 0.13/0.44 defined(b) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f29,hypothesis,(
% 0.13/0.44 defined(c) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f32,negated_conjecture,(
% 0.13/0.44 sum(a,c,u) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f33,negated_conjecture,(
% 0.13/0.44 sum(b,c,v) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f34,negated_conjecture,(
% 0.13/0.44 less_or_equal(u,v) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f35,negated_conjecture,(
% 0.13/0.44 ~ less_or_equal(a,b) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f36,plain,(
% 0.13/0.44 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.44 fof(f37,plain,(
% 0.13/0.44 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.44 fof(f40,plain,(
% 0.13/0.44 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.44 fof(f41,plain,(
% 0.13/0.44 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.44 fof(f42,plain,(
% 0.13/0.44 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.44 fof(f71,plain,(
% 0.13/0.44 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.44 fof(f72,plain,(
% 0.13/0.44 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f71])).
% 0.13/0.44 fof(f75,plain,(
% 0.13/0.44 defined(a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.44 fof(f76,plain,(
% 0.13/0.44 defined(b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.44 fof(f77,plain,(
% 0.13/0.44 defined(c)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.44 fof(f80,plain,(
% 0.13/0.44 sum(a,c,u)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.44 fof(f81,plain,(
% 0.13/0.44 sum(b,c,v)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.44 fof(f82,plain,(
% 0.13/0.44 less_or_equal(u,v)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.44 fof(f83,plain,(
% 0.13/0.44 ~less_or_equal(a,b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.44 fof(f105,plain,(
% 0.13/0.44 sum(additive_identity,b,b)),
% 0.13/0.44 inference(resolution,[status(thm)],[f40,f76])).
% 0.13/0.44 fof(f106,plain,(
% 0.13/0.44 sum(additive_identity,a,a)),
% 0.13/0.44 inference(resolution,[status(thm)],[f40,f75])).
% 0.13/0.44 fof(f113,plain,(
% 0.13/0.44 sum(additive_inverse(c),c,additive_identity)),
% 0.13/0.44 inference(resolution,[status(thm)],[f41,f77])).
% 0.13/0.44 fof(f116,plain,(
% 0.13/0.44 sum(c,a,u)),
% 0.13/0.44 inference(resolution,[status(thm)],[f42,f80])).
% 0.13/0.44 fof(f167,definition,(
% 0.13/0.44 sQ9_spl <=> (less_or_equal(u,v))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f169,plain,(
% 0.13/0.44 ~less_or_equal(u,v)|sQ9_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.44 fof(f443,definition,(
% 0.13/0.44 sQ70_spl <=> (less_or_equal(a,b))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f444,plain,(
% 0.13/0.44 less_or_equal(a,b)|~sQ70_spl),
% 0.13/0.45 inference(component_clause,[status(thm)],[f443])).
% 0.13/0.45 fof(f450,plain,(
% 0.13/0.45 $false|~sQ70_spl),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f444,f83])).
% 0.13/0.45 fof(f451,plain,(
% 0.13/0.45 ~sQ70_spl),
% 0.13/0.45 inference(contradiction_clause,[status(thm)],[f450])).
% 0.13/0.45 fof(f650,plain,(
% 0.13/0.45 sum(c,b,v)),
% 0.13/0.45 inference(resolution,[status(thm)],[f81,f42])).
% 0.13/0.45 fof(f663,plain,(
% 0.13/0.45 ![X0,X1,X2]: (sum(X0,u,X1)|~sum(X0,c,X2)|~sum(X2,a,X1))),
% 0.13/0.45 inference(resolution,[status(thm)],[f116,f37])).
% 0.13/0.45 fof(f670,plain,(
% 0.13/0.45 ![X0,X1,X2]: (sum(X0,v,X1)|~sum(X0,c,X2)|~sum(X2,b,X1))),
% 0.13/0.45 inference(resolution,[status(thm)],[f650,f37])).
% 0.13/0.45 fof(f1680,plain,(
% 0.13/0.45 ![X0]: (sum(additive_inverse(c),v,X0)|~sum(additive_identity,b,X0))),
% 0.13/0.45 inference(resolution,[status(thm)],[f113,f670])).
% 0.13/0.45 fof(f1681,plain,(
% 0.13/0.45 ![X0]: (sum(additive_inverse(c),u,X0)|~sum(additive_identity,a,X0))),
% 0.13/0.45 inference(resolution,[status(thm)],[f113,f663])).
% 0.13/0.45 fof(f1696,plain,(
% 0.13/0.45 sum(additive_inverse(c),v,b)),
% 0.13/0.45 inference(resolution,[status(thm)],[f1680,f105])).
% 0.13/0.45 fof(f1700,plain,(
% 0.13/0.45 sum(v,additive_inverse(c),b)),
% 0.13/0.45 inference(resolution,[status(thm)],[f1696,f42])).
% 0.13/0.45 fof(f1708,plain,(
% 0.13/0.45 ![X0,X1]: (less_or_equal(X0,b)|~less_or_equal(X1,v)|~sum(X1,additive_inverse(c),X0))),
% 0.13/0.45 inference(resolution,[status(thm)],[f1700,f72])).
% 0.13/0.45 fof(f1725,plain,(
% 0.13/0.45 sum(additive_inverse(c),u,a)),
% 0.13/0.45 inference(resolution,[status(thm)],[f1681,f106])).
% 0.13/0.45 fof(f1729,plain,(
% 0.13/0.45 sum(u,additive_inverse(c),a)),
% 0.13/0.45 inference(resolution,[status(thm)],[f1725,f42])).
% 0.13/0.45 fof(f1770,plain,(
% 0.13/0.45 less_or_equal(a,b)|~less_or_equal(u,v)),
% 0.13/0.45 inference(resolution,[status(thm)],[f1708,f1729])).
% 0.13/0.45 fof(f1772,plain,(
% 0.13/0.45 sQ70_spl|~sQ9_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f1770,f443,f167])).
% 0.13/0.45 fof(f1774,plain,(
% 0.13/0.45 $false|sQ9_spl),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f169,f82])).
% 0.13/0.45 fof(f1775,plain,(
% 0.13/0.45 sQ9_spl),
% 0.13/0.45 inference(contradiction_clause,[status(thm)],[f1774])).
% 0.13/0.45 fof(f1776,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(sat_refutation,[status(thm)],[f451,f1772,f1775])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.49 % Elapsed time: 0.126639 seconds
% 0.13/0.49 % CPU time: 0.561233 seconds
% 0.13/0.49 % Total memory used: 22.999 MB
% 0.13/0.49 % Net memory used: 22.662 MB
%------------------------------------------------------------------------------