%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD013-1 : 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 : n013.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 12:22:18 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD013-1 : 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 : n013.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:37:06 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.43 % Refutation found
% 0.02/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.43 fof(f4,axiom,(
% 0.02/0.43 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f23,axiom,(
% 0.02/0.43 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f24,axiom,(
% 0.02/0.43 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f29,hypothesis,(
% 0.02/0.43 defined(b) ),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f30,hypothesis,(
% 0.02/0.43 defined(c) ),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f32,negated_conjecture,(
% 0.02/0.43 equalish(a,b) ),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f33,negated_conjecture,(
% 0.02/0.43 equalish(c,d) ),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f34,negated_conjecture,(
% 0.02/0.43 ~ equalish(add(a,c),add(d,b)) ),
% 0.02/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.43 fof(f39,plain,(
% 0.02/0.43 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 0.02/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.02/0.43 fof(f40,plain,(
% 0.02/0.43 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f39])).
% 0.02/0.43 fof(f68,plain,(
% 0.02/0.43 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.02/0.43 inference(miniscoping,[status(thm)],[f23])).
% 0.02/0.43 fof(f69,plain,(
% 0.02/0.43 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f68])).
% 0.02/0.43 fof(f70,plain,(
% 0.02/0.43 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.02/0.43 inference(miniscoping,[status(thm)],[f24])).
% 0.02/0.43 fof(f71,plain,(
% 0.02/0.43 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f70])).
% 0.02/0.43 fof(f78,plain,(
% 0.02/0.43 defined(b)),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.02/0.43 fof(f79,plain,(
% 0.02/0.43 defined(c)),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.02/0.43 fof(f81,plain,(
% 0.02/0.43 equalish(a,b)),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.02/0.43 fof(f82,plain,(
% 0.02/0.43 equalish(c,d)),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.02/0.43 fof(f83,plain,(
% 0.02/0.43 ~equalish(add(a,c),add(d,b))),
% 0.02/0.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.02/0.43 fof(f87,plain,(
% 0.02/0.43 ![X0]: (~equalish(add(a,c),X0)|~equalish(X0,add(d,b)))),
% 0.02/0.43 inference(resolution,[status(thm)],[f69,f83])).
% 0.02/0.43 fof(f95,definition,(
% 0.02/0.43 sQ1_spl <=> (defined(b))),
% 0.02/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.02/0.43 fof(f97,plain,(
% 0.02/0.43 ~defined(b)|sQ1_spl),
% 0.02/0.43 inference(component_clause,[status(thm)],[f95])).
% 0.02/0.43 fof(f106,plain,(
% 0.02/0.43 $false|sQ1_spl),
% 0.02/0.43 inference(forward_subsumption_resolution,[status(thm)],[f97,f78])).
% 0.02/0.43 fof(f107,plain,(
% 0.02/0.43 sQ1_spl),
% 0.02/0.43 inference(contradiction_clause,[status(thm)],[f106])).
% 0.02/0.43 fof(f112,plain,(
% 0.02/0.43 ![X0]: (~equalish(add(X0,c),add(d,b))|~defined(c)|~equalish(a,X0))),
% 0.02/0.43 inference(resolution,[status(thm)],[f87,f71])).
% 0.02/0.43 fof(f116,definition,(
% 0.02/0.43 ![X0]: (sQ4_spl <=> (~equalish(add(X0,c),add(d,b))|~equalish(a,X0)))),
% 0.02/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.02/0.43 fof(f117,plain,(
% 0.02/0.43 ![X0]: (~equalish(add(X0,c),add(d,b))|~equalish(a,X0)|~sQ4_spl)),
% 0.02/0.43 inference(component_clause,[status(thm)],[f116])).
% 0.02/0.43 fof(f119,definition,(
% 0.02/0.43 sQ5_spl <=> (defined(c))),
% 0.02/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.02/0.43 fof(f121,plain,(
% 0.02/0.43 ~defined(c)|sQ5_spl),
% 0.02/0.43 inference(component_clause,[status(thm)],[f119])).
% 0.02/0.43 fof(f122,plain,(
% 0.02/0.43 sQ4_spl|~sQ5_spl),
% 0.02/0.43 inference(split_clause,[status(thm)],[f112,f116,f119])).
% 0.02/0.43 fof(f130,plain,(
% 0.02/0.43 $false|sQ5_spl),
% 0.02/0.43 inference(forward_subsumption_resolution,[status(thm)],[f121,f79])).
% 0.02/0.43 fof(f131,plain,(
% 0.02/0.43 sQ5_spl),
% 0.02/0.43 inference(contradiction_clause,[status(thm)],[f130])).
% 0.02/0.43 fof(f173,plain,(
% 0.02/0.43 ![X0,X1]: (~equalish(a,X0)|~equalish(add(X0,c),X1)|~equalish(X1,add(d,b))|~sQ4_spl)),
% 0.02/0.43 inference(resolution,[status(thm)],[f117,f69])).
% 0.02/0.44 fof(f455,plain,(
% 0.02/0.44 ![X0]: (~equalish(add(b,c),X0)|~equalish(X0,add(d,b))|~sQ4_spl)),
% 0.02/0.44 inference(resolution,[status(thm)],[f173,f81])).
% 0.02/0.44 fof(f459,plain,(
% 0.02/0.44 ~equalish(add(c,b),add(d,b))|~defined(b)|~defined(c)|~sQ4_spl),
% 0.02/0.44 inference(resolution,[status(thm)],[f455,f40])).
% 0.02/0.44 fof(f466,definition,(
% 0.02/0.44 sQ46_spl <=> (equalish(add(c,b),add(d,b)))),
% 0.02/0.44 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.02/0.44 fof(f468,plain,(
% 0.02/0.44 ~equalish(add(c,b),add(d,b))|sQ46_spl),
% 0.02/0.44 inference(component_clause,[status(thm)],[f466])).
% 0.02/0.44 fof(f469,plain,(
% 0.02/0.44 ~sQ46_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.02/0.44 inference(split_clause,[status(thm)],[f459,f466,f95,f119,f116])).
% 0.02/0.44 fof(f470,plain,(
% 0.02/0.44 ~defined(b)|~equalish(c,d)|sQ46_spl),
% 0.02/0.44 inference(resolution,[status(thm)],[f468,f71])).
% 0.02/0.44 fof(f473,definition,(
% 0.02/0.44 sQ47_spl <=> (equalish(c,d))),
% 0.02/0.44 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.02/0.44 fof(f475,plain,(
% 0.02/0.44 ~equalish(c,d)|sQ47_spl),
% 0.02/0.44 inference(component_clause,[status(thm)],[f473])).
% 0.02/0.44 fof(f476,plain,(
% 0.02/0.44 ~sQ1_spl|~sQ47_spl|sQ46_spl),
% 0.02/0.44 inference(split_clause,[status(thm)],[f470,f95,f473,f466])).
% 0.02/0.44 fof(f477,plain,(
% 0.02/0.44 $false|sQ47_spl),
% 0.02/0.44 inference(forward_subsumption_resolution,[status(thm)],[f475,f82])).
% 0.02/0.44 fof(f478,plain,(
% 0.02/0.44 sQ47_spl),
% 0.02/0.44 inference(contradiction_clause,[status(thm)],[f477])).
% 0.02/0.44 fof(f479,plain,(
% 0.02/0.44 $false),
% 0.02/0.44 inference(sat_refutation,[status(thm)],[f107,f122,f131,f469,f476,f478])).
% 0.02/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.45 % Elapsed time: 0.091324 seconds
% 0.02/0.45 % CPU time: 0.378020 seconds
% 0.02/0.45 % Total memory used: 26.123 MB
% 0.02/0.45 % Net memory used: 25.592 MB
%------------------------------------------------------------------------------