%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD023-1 : 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 : n010.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 12:22:20 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD023-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.39 % Computer : n010.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 15:38:45 UTC 2026
% 0.16/5.40 % CPUTime :
% 0.16/5.41 % Drodi V4.1.1
% 0.16/5.43 % Refutation found
% 0.16/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.43 fof(f3,axiom,(
% 0.16/5.43 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f12,axiom,(
% 0.16/5.43 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f22,axiom,(
% 0.16/5.43 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f23,axiom,(
% 0.16/5.43 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f24,axiom,(
% 0.16/5.43 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f28,hypothesis,(
% 0.16/5.43 defined(a) ),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f30,negated_conjecture,(
% 0.16/5.43 equalish(a,b) ),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f31,negated_conjecture,(
% 0.16/5.43 ~ equalish(additive_identity,add(b,additive_inverse(a))) ),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f35,plain,(
% 0.16/5.43 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/5.43 fof(f49,plain,(
% 0.16/5.43 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/5.43 fof(f64,plain,(
% 0.16/5.43 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.43 fof(f65,plain,(
% 0.16/5.43 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.16/5.43 inference(miniscoping,[status(thm)],[f23])).
% 0.16/5.43 fof(f66,plain,(
% 0.16/5.43 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f65])).
% 0.16/5.43 fof(f67,plain,(
% 0.16/5.43 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.16/5.43 inference(miniscoping,[status(thm)],[f24])).
% 0.16/5.43 fof(f68,plain,(
% 0.16/5.43 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f67])).
% 0.16/5.43 fof(f74,plain,(
% 0.16/5.43 defined(a)),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/5.43 fof(f76,plain,(
% 0.16/5.43 equalish(a,b)),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.16/5.43 fof(f77,plain,(
% 0.16/5.43 ~equalish(additive_identity,add(b,additive_inverse(a)))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/5.43 fof(f78,plain,(
% 0.16/5.43 ~equalish(add(b,additive_inverse(a)),additive_identity)),
% 0.16/5.43 inference(resolution,[status(thm)],[f64,f77])).
% 0.16/5.43 fof(f84,plain,(
% 0.16/5.43 ![X0]: (~equalish(add(b,additive_inverse(a)),X0)|~equalish(X0,additive_identity))),
% 0.16/5.43 inference(resolution,[status(thm)],[f78,f66])).
% 0.16/5.43 fof(f106,definition,(
% 0.16/5.43 sQ4_spl <=> (defined(additive_inverse(a)))),
% 0.16/5.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/5.43 fof(f108,plain,(
% 0.16/5.43 ~defined(additive_inverse(a))|sQ4_spl),
% 0.16/5.43 inference(component_clause,[status(thm)],[f106])).
% 0.16/5.43 fof(f126,plain,(
% 0.16/5.43 ~defined(a)|sQ4_spl),
% 0.16/5.43 inference(resolution,[status(thm)],[f108,f49])).
% 0.16/5.43 fof(f127,plain,(
% 0.16/5.43 $false|sQ4_spl),
% 0.16/5.43 inference(forward_subsumption_resolution,[status(thm)],[f126,f74])).
% 0.16/5.43 fof(f128,plain,(
% 0.16/5.43 sQ4_spl),
% 0.16/5.43 inference(contradiction_clause,[status(thm)],[f127])).
% 0.16/5.43 fof(f163,plain,(
% 0.16/5.43 ![X0]: (~defined(additive_inverse(a))|~equalish(b,X0)|~equalish(add(X0,additive_inverse(a)),additive_identity))),
% 0.16/5.43 inference(resolution,[status(thm)],[f68,f84])).
% 0.16/5.43 fof(f164,definition,(
% 0.16/5.43 ![X0]: (sQ13_spl <=> (~equalish(b,X0)|~equalish(add(X0,additive_inverse(a)),additive_identity)))),
% 0.16/5.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/5.43 fof(f165,plain,(
% 0.16/5.43 ![X0]: (~equalish(b,X0)|~equalish(add(X0,additive_inverse(a)),additive_identity)|~sQ13_spl)),
% 0.16/5.43 inference(component_clause,[status(thm)],[f164])).
% 0.16/5.43 fof(f167,plain,(
% 0.16/5.43 ~sQ4_spl|sQ13_spl),
% 0.16/5.43 inference(split_clause,[status(thm)],[f163,f106,f164])).
% 0.16/5.43 fof(f204,plain,(
% 0.16/5.43 ~equalish(b,a)|~defined(a)|~sQ13_spl),
% 0.16/5.43 inference(resolution,[status(thm)],[f165,f35])).
% 0.16/5.43 fof(f207,definition,(
% 0.16/5.43 sQ16_spl <=> (equalish(b,a))),
% 0.16/5.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/5.43 fof(f209,plain,(
% 0.16/5.43 ~equalish(b,a)|sQ16_spl),
% 0.16/5.43 inference(component_clause,[status(thm)],[f207])).
% 0.16/5.43 fof(f210,definition,(
% 0.16/5.43 sQ17_spl <=> (defined(a))),
% 0.16/5.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.16/5.43 fof(f212,plain,(
% 0.16/5.43 ~defined(a)|sQ17_spl),
% 0.16/5.43 inference(component_clause,[status(thm)],[f210])).
% 0.16/5.43 fof(f213,plain,(
% 0.16/5.43 ~sQ16_spl|~sQ17_spl|~sQ13_spl),
% 0.16/5.43 inference(split_clause,[status(thm)],[f204,f207,f210,f164])).
% 0.16/5.43 fof(f234,plain,(
% 0.16/5.43 ~equalish(a,b)|sQ16_spl),
% 0.16/5.43 inference(resolution,[status(thm)],[f209,f64])).
% 0.16/5.43 fof(f235,plain,(
% 0.16/5.43 $false|sQ16_spl),
% 0.16/5.43 inference(forward_subsumption_resolution,[status(thm)],[f234,f76])).
% 0.16/5.43 fof(f236,plain,(
% 0.16/5.43 sQ16_spl),
% 0.16/5.43 inference(contradiction_clause,[status(thm)],[f235])).
% 0.16/5.43 fof(f237,plain,(
% 0.16/5.43 $false|sQ17_spl),
% 0.16/5.43 inference(forward_subsumption_resolution,[status(thm)],[f212,f74])).
% 0.16/5.43 fof(f238,plain,(
% 0.16/5.43 sQ17_spl),
% 0.16/5.43 inference(contradiction_clause,[status(thm)],[f237])).
% 0.16/5.43 fof(f239,plain,(
% 0.16/5.43 $false),
% 0.16/5.43 inference(sat_refutation,[status(thm)],[f128,f167,f213,f236,f238])).
% 0.16/5.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.45 % Elapsed time: 0.044551 seconds
% 0.16/5.45 % CPU time: 0.124514 seconds
% 0.16/5.45 % Total memory used: 9.763 MB
% 0.16/5.45 % Net memory used: 9.648 MB
%------------------------------------------------------------------------------