%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD021-1 : 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 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD021-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n019.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 15:38:05 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f2,axiom,(
% 0.17/0.46 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f23,axiom,(
% 0.17/0.46 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f24,axiom,(
% 0.17/0.46 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f28,hypothesis,(
% 0.17/0.46 defined(a) ),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f30,negated_conjecture,(
% 0.17/0.46 equalish(m,additive_identity) ),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f31,negated_conjecture,(
% 0.17/0.46 ~ equalish(add(m,a),a) ),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f34,plain,(
% 0.17/0.46 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.46 fof(f65,plain,(
% 0.17/0.46 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.17/0.46 inference(miniscoping,[status(thm)],[f23])).
% 0.17/0.46 fof(f66,plain,(
% 0.17/0.46 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f65])).
% 0.17/0.46 fof(f67,plain,(
% 0.17/0.46 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.17/0.46 inference(miniscoping,[status(thm)],[f24])).
% 0.17/0.46 fof(f68,plain,(
% 0.17/0.46 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f67])).
% 0.17/0.46 fof(f74,plain,(
% 0.17/0.46 defined(a)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/0.46 fof(f76,plain,(
% 0.17/0.46 equalish(m,additive_identity)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/0.46 fof(f77,plain,(
% 0.17/0.46 ~equalish(add(m,a),a)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.46 fof(f85,plain,(
% 0.17/0.46 ![X0]: (~equalish(add(m,a),X0)|~equalish(X0,a))),
% 0.17/0.46 inference(resolution,[status(thm)],[f66,f77])).
% 0.17/0.46 fof(f92,definition,(
% 0.17/0.46 sQ1_spl <=> (defined(a))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f94,plain,(
% 0.17/0.46 ~defined(a)|sQ1_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f92])).
% 0.17/0.46 fof(f114,plain,(
% 0.17/0.46 $false|sQ1_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f94,f74])).
% 0.17/0.46 fof(f115,plain,(
% 0.17/0.46 sQ1_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f114])).
% 0.17/0.46 fof(f159,plain,(
% 0.17/0.46 ![X0]: (~defined(a)|~equalish(m,X0)|~equalish(add(X0,a),a))),
% 0.17/0.46 inference(resolution,[status(thm)],[f68,f85])).
% 0.17/0.46 fof(f164,definition,(
% 0.17/0.46 ![X0]: (sQ13_spl <=> (~equalish(m,X0)|~equalish(add(X0,a),a)))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f165,plain,(
% 0.17/0.46 ![X0]: (~equalish(m,X0)|~equalish(add(X0,a),a)|~sQ13_spl)),
% 0.17/0.46 inference(component_clause,[status(thm)],[f164])).
% 0.17/0.46 fof(f167,plain,(
% 0.17/0.46 ~sQ1_spl|sQ13_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f159,f92,f164])).
% 0.17/0.46 fof(f230,plain,(
% 0.17/0.46 ~equalish(m,additive_identity)|~defined(a)|~sQ13_spl),
% 0.17/0.46 inference(resolution,[status(thm)],[f165,f34])).
% 0.17/0.46 fof(f233,definition,(
% 0.17/0.46 sQ20_spl <=> (equalish(m,additive_identity))),
% 0.17/0.46 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.17/0.46 fof(f235,plain,(
% 0.17/0.46 ~equalish(m,additive_identity)|sQ20_spl),
% 0.17/0.46 inference(component_clause,[status(thm)],[f233])).
% 0.17/0.46 fof(f236,plain,(
% 0.17/0.46 ~sQ20_spl|~sQ1_spl|~sQ13_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f230,f233,f92,f164])).
% 0.17/0.46 fof(f237,plain,(
% 0.17/0.46 $false|sQ20_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f235,f76])).
% 0.17/0.46 fof(f238,plain,(
% 0.17/0.46 sQ20_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f237])).
% 0.17/0.46 fof(f239,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(sat_refutation,[status(thm)],[f115,f167,f236,f238])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.48 % Elapsed time: 0.045935 seconds
% 0.17/0.48 % CPU time: 0.126834 seconds
% 0.17/0.48 % Total memory used: 8.043 MB
% 0.17/0.48 % Net memory used: 7.967 MB
%------------------------------------------------------------------------------