%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD018-1 : 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 : n019.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 12:22:19 PM UTC 2026
% Result : Unsatisfiable 1.16s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD018-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n019.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 15:38:19 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 1.16/0.76 % Refutation found
% 1.16/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.16/0.76 % SZS output start CNFRefutation for theBenchmark
% 1.16/0.76 fof(f2,axiom,(
% 1.16/0.76 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f3,axiom,(
% 1.16/0.76 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f12,axiom,(
% 1.16/0.76 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f22,axiom,(
% 1.16/0.76 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f23,axiom,(
% 1.16/0.76 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f24,axiom,(
% 1.16/0.76 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f28,hypothesis,(
% 1.16/0.76 defined(a) ),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f29,negated_conjecture,(
% 1.16/0.76 equalish(a,additive_identity) ),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f30,negated_conjecture,(
% 1.16/0.76 ~ equalish(additive_inverse(a),additive_identity) ),
% 1.16/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.16/0.76 fof(f33,plain,(
% 1.16/0.76 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f2])).
% 1.16/0.76 fof(f34,plain,(
% 1.16/0.76 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f3])).
% 1.16/0.76 fof(f48,plain,(
% 1.16/0.76 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f12])).
% 1.16/0.76 fof(f63,plain,(
% 1.16/0.76 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f22])).
% 1.16/0.76 fof(f64,plain,(
% 1.16/0.76 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 1.16/0.76 inference(miniscoping,[status(thm)],[f23])).
% 1.16/0.76 fof(f65,plain,(
% 1.16/0.76 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f64])).
% 1.16/0.76 fof(f66,plain,(
% 1.16/0.76 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 1.16/0.76 inference(miniscoping,[status(thm)],[f24])).
% 1.16/0.76 fof(f67,plain,(
% 1.16/0.76 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f66])).
% 1.16/0.76 fof(f73,plain,(
% 1.16/0.76 defined(a)),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f28])).
% 1.16/0.76 fof(f74,plain,(
% 1.16/0.76 equalish(a,additive_identity)),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f29])).
% 1.16/0.76 fof(f75,plain,(
% 1.16/0.76 ~equalish(additive_inverse(a),additive_identity)),
% 1.16/0.76 inference(cnf_transformation,[status(thm)],[f30])).
% 1.16/0.76 fof(f77,plain,(
% 1.16/0.76 ~equalish(additive_identity,additive_inverse(a))),
% 1.16/0.76 inference(resolution,[status(thm)],[f63,f75])).
% 1.16/0.76 fof(f83,plain,(
% 1.16/0.76 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,additive_inverse(a)))),
% 1.16/0.76 inference(resolution,[status(thm)],[f65,f77])).
% 1.16/0.76 fof(f88,plain,(
% 1.16/0.76 defined(additive_inverse(a))),
% 1.16/0.76 inference(resolution,[status(thm)],[f73,f48])).
% 1.16/0.76 fof(f97,plain,(
% 1.16/0.76 ![X0]: (~equalish(X0,additive_inverse(a))|~equalish(X0,additive_identity))),
% 1.16/0.76 inference(resolution,[status(thm)],[f83,f63])).
% 1.16/0.76 fof(f102,plain,(
% 1.16/0.76 ![X0,X1]: (~equalish(X0,additive_identity)|~equalish(X0,X1)|~equalish(X1,additive_inverse(a)))),
% 1.16/0.76 inference(resolution,[status(thm)],[f97,f65])).
% 1.16/0.76 fof(f107,definition,(
% 1.16/0.76 sQ1_spl <=> (defined(additive_inverse(a)))),
% 1.16/0.76 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 1.16/0.76 fof(f109,plain,(
% 1.16/0.76 ~defined(additive_inverse(a))|sQ1_spl),
% 1.16/0.76 inference(component_clause,[status(thm)],[f107])).
% 1.16/0.76 fof(f115,plain,(
% 1.16/0.76 $false|sQ1_spl),
% 1.16/0.76 inference(forward_subsumption_resolution,[status(thm)],[f109,f88])).
% 1.16/0.76 fof(f116,plain,(
% 1.16/0.76 sQ1_spl),
% 1.16/0.76 inference(contradiction_clause,[status(thm)],[f115])).
% 1.16/0.76 fof(f152,definition,(
% 1.16/0.76 sQ8_spl <=> (equalish(a,additive_identity))),
% 1.16/0.76 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 1.16/0.77 fof(f154,plain,(
% 1.16/0.77 ~equalish(a,additive_identity)|sQ8_spl),
% 1.16/0.77 inference(component_clause,[status(thm)],[f152])).
% 1.16/0.77 fof(f195,plain,(
% 1.16/0.77 ![X0]: (~equalish(X0,additive_identity)|~equalish(X0,add(additive_identity,additive_inverse(a)))|~defined(additive_inverse(a)))),
% 1.16/0.77 inference(resolution,[status(thm)],[f102,f33])).
% 1.16/0.77 fof(f202,definition,(
% 1.16/0.77 ![X0]: (sQ14_spl <=> (~equalish(X0,additive_identity)|~equalish(X0,add(additive_identity,additive_inverse(a)))))),
% 1.16/0.77 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 1.16/0.77 fof(f203,plain,(
% 1.16/0.77 ![X0]: (~equalish(X0,additive_identity)|~equalish(X0,add(additive_identity,additive_inverse(a)))|~sQ14_spl)),
% 1.16/0.77 inference(component_clause,[status(thm)],[f202])).
% 1.16/0.77 fof(f205,plain,(
% 1.16/0.77 sQ14_spl|~sQ1_spl),
% 1.16/0.77 inference(split_clause,[status(thm)],[f195,f202,f107])).
% 1.16/0.77 fof(f381,plain,(
% 1.16/0.77 ![X0]: (~equalish(add(X0,additive_inverse(a)),additive_identity)|~defined(additive_inverse(a))|~equalish(X0,additive_identity)|~sQ14_spl)),
% 1.16/0.77 inference(resolution,[status(thm)],[f203,f67])).
% 1.16/0.77 fof(f397,definition,(
% 1.16/0.77 ![X0]: (sQ40_spl <=> (~equalish(add(X0,additive_inverse(a)),additive_identity)|~equalish(X0,additive_identity)))),
% 1.16/0.77 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 1.16/0.77 fof(f398,plain,(
% 1.16/0.77 ![X0]: (~equalish(add(X0,additive_inverse(a)),additive_identity)|~equalish(X0,additive_identity)|~sQ40_spl)),
% 1.16/0.77 inference(component_clause,[status(thm)],[f397])).
% 1.16/0.77 fof(f400,plain,(
% 1.16/0.77 sQ40_spl|~sQ1_spl|~sQ14_spl),
% 1.16/0.77 inference(split_clause,[status(thm)],[f381,f397,f107,f202])).
% 1.16/0.77 fof(f769,plain,(
% 1.16/0.77 ~equalish(a,additive_identity)|~defined(a)|~sQ40_spl),
% 1.16/0.77 inference(resolution,[status(thm)],[f398,f34])).
% 1.16/0.77 fof(f773,definition,(
% 1.16/0.77 sQ90_spl <=> (defined(a))),
% 1.16/0.77 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 1.16/0.77 fof(f775,plain,(
% 1.16/0.77 ~defined(a)|sQ90_spl),
% 1.16/0.77 inference(component_clause,[status(thm)],[f773])).
% 1.16/0.77 fof(f776,plain,(
% 1.16/0.77 ~sQ8_spl|~sQ90_spl|~sQ40_spl),
% 1.16/0.77 inference(split_clause,[status(thm)],[f769,f152,f773,f397])).
% 1.16/0.77 fof(f781,plain,(
% 1.16/0.77 $false|sQ90_spl),
% 1.16/0.77 inference(forward_subsumption_resolution,[status(thm)],[f775,f73])).
% 1.16/0.77 fof(f782,plain,(
% 1.16/0.77 sQ90_spl),
% 1.16/0.77 inference(contradiction_clause,[status(thm)],[f781])).
% 1.16/0.77 fof(f783,plain,(
% 1.16/0.77 $false|sQ8_spl),
% 1.16/0.77 inference(forward_subsumption_resolution,[status(thm)],[f154,f74])).
% 1.16/0.77 fof(f784,plain,(
% 1.16/0.77 sQ8_spl),
% 1.16/0.77 inference(contradiction_clause,[status(thm)],[f783])).
% 1.16/0.77 fof(f785,plain,(
% 1.16/0.77 $false),
% 1.16/0.77 inference(sat_refutation,[status(thm)],[f116,f205,f400,f776,f782,f784])).
% 1.16/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 1.16/0.79 % Elapsed time: 0.345551 seconds
% 1.16/0.79 % CPU time: 2.397840 seconds
% 1.16/0.79 % Total memory used: 58.016 MB
% 1.16/0.79 % Net memory used: 55.535 MB
%------------------------------------------------------------------------------