%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD067-3 : 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 : 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 12:22:29 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 : FLD067-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:46:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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(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(f15,axiom,(
% 0.13/0.44 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f19,axiom,(
% 0.13/0.44 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 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,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(f30,negated_conjecture,(
% 0.13/0.44 ~ less_or_equal(additive_identity,add(b,additive_inverse(a))) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f36,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(f37,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(f52,plain,(
% 0.13/0.44 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.44 fof(f57,plain,(
% 0.13/0.44 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.44 fof(f58,plain,(
% 0.13/0.44 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.44 fof(f66,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(f67,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)],[f66])).
% 0.13/0.44 fof(f70,plain,(
% 0.13/0.44 defined(a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.44 fof(f71,plain,(
% 0.13/0.44 defined(b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.44 fof(f72,plain,(
% 0.13/0.44 less_or_equal(a,b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.44 fof(f73,plain,(
% 0.13/0.44 ~less_or_equal(additive_identity,add(b,additive_inverse(a)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.44 fof(f81,plain,(
% 0.13/0.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 0.13/0.44 inference(resolution,[status(thm)],[f67,f72])).
% 0.13/0.44 fof(f87,plain,(
% 0.13/0.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(X2,b,X1))),
% 0.13/0.44 inference(resolution,[status(thm)],[f81,f37])).
% 0.13/0.44 fof(f93,definition,(
% 0.13/0.44 sQ1_spl <=> (defined(b))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f95,plain,(
% 0.13/0.44 ~defined(b)|sQ1_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.44 fof(f98,plain,(
% 0.13/0.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(X2,b,X1)|~sum(X2,a,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f87,f37])).
% 0.13/0.44 fof(f104,definition,(
% 0.13/0.44 sQ3_spl <=> (defined(a))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f106,plain,(
% 0.13/0.44 ~defined(a)|sQ3_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f104])).
% 0.13/0.44 fof(f161,plain,(
% 0.13/0.44 ![X0]: (~sum(X0,b,add(b,additive_inverse(a)))|~sum(X0,a,additive_identity))),
% 0.13/0.44 inference(resolution,[status(thm)],[f98,f73])).
% 0.13/0.44 fof(f178,plain,(
% 0.13/0.44 $false|sQ3_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f106,f70])).
% 0.13/0.44 fof(f179,plain,(
% 0.13/0.44 sQ3_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f178])).
% 0.13/0.44 fof(f182,plain,(
% 0.13/0.44 ![X0]: (~sum(X0,a,additive_identity)|~sum(b,X0,add(b,additive_inverse(a))))),
% 0.13/0.44 inference(resolution,[status(thm)],[f161,f37])).
% 0.13/0.44 fof(f233,plain,(
% 0.13/0.44 ~sum(additive_inverse(a),a,additive_identity)|~defined(b)|~defined(additive_inverse(a))),
% 0.13/0.45 inference(resolution,[status(thm)],[f182,f58])).
% 0.13/0.45 fof(f238,definition,(
% 0.13/0.45 sQ13_spl <=> (sum(additive_inverse(a),a,additive_identity))),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f240,plain,(
% 0.13/0.45 ~sum(additive_inverse(a),a,additive_identity)|sQ13_spl),
% 0.13/0.45 inference(component_clause,[status(thm)],[f238])).
% 0.13/0.45 fof(f241,definition,(
% 0.13/0.45 sQ14_spl <=> (defined(additive_inverse(a)))),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f243,plain,(
% 0.13/0.45 ~defined(additive_inverse(a))|sQ14_spl),
% 0.13/0.45 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.45 fof(f244,plain,(
% 0.13/0.45 ~sQ13_spl|~sQ1_spl|~sQ14_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f233,f238,f93,f241])).
% 0.13/0.45 fof(f245,plain,(
% 0.13/0.45 $false|sQ1_spl),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f95,f71])).
% 0.13/0.45 fof(f246,plain,(
% 0.13/0.45 sQ1_spl),
% 0.13/0.45 inference(contradiction_clause,[status(thm)],[f245])).
% 0.13/0.45 fof(f247,plain,(
% 0.13/0.45 ~defined(a)|sQ14_spl),
% 0.13/0.45 inference(resolution,[status(thm)],[f243,f52])).
% 0.13/0.45 fof(f248,plain,(
% 0.13/0.45 ~sQ3_spl|sQ14_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f247,f104,f241])).
% 0.13/0.45 fof(f249,plain,(
% 0.13/0.45 ~defined(a)|sQ13_spl),
% 0.13/0.45 inference(resolution,[status(thm)],[f240,f36])).
% 0.13/0.45 fof(f254,plain,(
% 0.13/0.45 ~sQ3_spl|sQ13_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f249,f104,f238])).
% 0.13/0.45 fof(f255,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(sat_refutation,[status(thm)],[f179,f244,f246,f248,f254])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.098985 seconds
% 0.13/0.46 % CPU time: 0.554115 seconds
% 0.13/0.46 % Total memory used: 27.233 MB
% 0.13/0.46 % Net memory used: 26.447 MB
%------------------------------------------------------------------------------