%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS012-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:00:05 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS012-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:50:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,negated_conjecture,(
% 0.14/0.38 c(exists) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 ~ f(exists) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X3,X1]: (( e(X3)| ~ c(X1)| ~ r(X1,X3)| ~ d(X3) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (![X2,X1]: (( d(X2)| ~ c(X1)| ~ r(X1,X2) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,axiom,(
% 0.14/0.38 (![X1]: (( f(X1)| ~ e(u1r1(X1)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,axiom,(
% 0.14/0.38 (![X1]: (( f(X1)| r(X1,u1r1(X1)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 c(exists)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ~f(exists)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X3]: ((![X1]: ((e(X3)|~c(X1))|~r(X1,X3)))|~d(X3))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![X0,X1]: (e(X0)|~c(X1)|~r(X1,X0)|~d(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ![X0,X1]: (d(X0)|~c(X1)|~r(X1,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![X0]: (f(X0)|~e(u1r1(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ![X0]: (f(X0)|r(X0,u1r1(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ![X0,X1]: (e(X0)|~c(X1)|~r(X1,X0))),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f17,f18])).
% 0.14/0.38 fof(f34,definition,(
% 0.14/0.38 sQ1_spl <=> (f(exists))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 f(exists)|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f34])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 ![X0]: (e(X0)|~r(exists,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f28,f14])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 e(u1r1(exists))|f(exists)),
% 0.14/0.38 inference(resolution,[status(thm)],[f38,f27])).
% 0.14/0.38 fof(f40,definition,(
% 0.14/0.38 sQ2_spl <=> (e(u1r1(exists)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 e(u1r1(exists))|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.38 fof(f43,plain,(
% 0.14/0.38 sQ2_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f39,f40,f34])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 $false|~sQ1_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f35,f15])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 ~sQ1_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f44])).
% 0.14/0.38 fof(f46,plain,(
% 0.14/0.38 f(exists)|~sQ2_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f41,f26])).
% 0.14/0.38 fof(f47,plain,(
% 0.14/0.38 sQ1_spl|~sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f46,f34,f40])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f43,f45,f47])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.030736 seconds
% 0.14/0.40 % CPU time: 0.074749 seconds
% 0.14/0.40 % Total memory used: 10.420 MB
% 0.14/0.40 % Net memory used: 10.135 MB
%------------------------------------------------------------------------------