%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:42:09 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n017.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.45 % CPULimit : 300
% 0.16/5.45 % WCLimit : 300
% 0.16/5.45 % DateTime : Mon Sep 21 01:53:47 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.46 % Drodi V4.1.1
% 0.16/5.48 % Refutation found
% 0.16/5.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.48 fof(f1,axiom,(
% 0.16/5.48 (![X]: (product(X,X,square(X)) ))),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f3,axiom,(
% 0.16/5.48 (![X,Y,Z]: (( ~ product(X,Y,Z)| divides(X,Z) ) ))),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f4,axiom,(
% 0.16/5.48 (![X,Y,Z,U]: (( ~ prime(X)| ~ product(Y,Z,U)| ~ divides(X,U)| divides(X,Y)| divides(X,Z) ) ))),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f5,hypothesis,(
% 0.16/5.48 prime(a) ),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f6,hypothesis,(
% 0.16/5.48 product(a,square(c),square(b)) ),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f7,negated_conjecture,(
% 0.16/5.48 ~ divides(a,b) ),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f8,plain,(
% 0.16/5.48 ![X0]: (product(X0,X0,square(X0)))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/5.48 fof(f10,plain,(
% 0.16/5.48 ![X,Z]: ((![Y]: ~product(X,Y,Z))|divides(X,Z))),
% 0.16/5.48 inference(miniscoping,[status(thm)],[f3])).
% 0.16/5.48 fof(f11,plain,(
% 0.16/5.48 ![X0,X1,X2]: (~product(X0,X1,X2)|divides(X0,X2))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/5.48 fof(f12,plain,(
% 0.16/5.48 ![X,Z]: ((![Y]: ((![U]: ((~prime(X)|~product(Y,Z,U))|~divides(X,U)))|divides(X,Y)))|divides(X,Z))),
% 0.16/5.48 inference(miniscoping,[status(thm)],[f4])).
% 0.16/5.48 fof(f13,plain,(
% 0.16/5.48 ![X0,X1,X2,X3]: (~prime(X0)|~product(X1,X2,X3)|~divides(X0,X3)|divides(X0,X1)|divides(X0,X2))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/5.48 fof(f14,plain,(
% 0.16/5.48 prime(a)),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.48 fof(f15,plain,(
% 0.16/5.48 product(a,square(c),square(b))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/5.48 fof(f16,plain,(
% 0.16/5.48 ~divides(a,b)),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/5.48 fof(f20,plain,(
% 0.16/5.48 divides(a,square(b))),
% 0.16/5.48 inference(resolution,[status(thm)],[f15,f11])).
% 0.16/5.48 fof(f25,plain,(
% 0.16/5.48 ![X0,X1]: (~prime(X0)|~divides(X0,square(X1))|divides(X0,X1)|divides(X0,X1))),
% 0.16/5.48 inference(resolution,[status(thm)],[f13,f8])).
% 0.16/5.48 fof(f26,plain,(
% 0.16/5.48 ![X0,X1]: (~prime(X0)|~divides(X0,square(X1))|divides(X0,X1))),
% 0.16/5.48 inference(duplicate_literals_removal,[status(thm)],[f25])).
% 0.16/5.48 fof(f28,plain,(
% 0.16/5.48 ~prime(a)|divides(a,b)),
% 0.16/5.48 inference(resolution,[status(thm)],[f26,f20])).
% 0.16/5.48 fof(f37,definition,(
% 0.16/5.48 sQ2_spl <=> (prime(a))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f39,plain,(
% 0.16/5.48 ~prime(a)|sQ2_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f37])).
% 0.16/5.48 fof(f40,definition,(
% 0.16/5.48 sQ3_spl <=> (divides(a,b))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f41,plain,(
% 0.16/5.48 divides(a,b)|~sQ3_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f40])).
% 0.16/5.48 fof(f43,plain,(
% 0.16/5.48 ~sQ2_spl|sQ3_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f28,f37,f40])).
% 0.16/5.48 fof(f44,plain,(
% 0.16/5.48 $false|sQ2_spl),
% 0.16/5.48 inference(forward_subsumption_resolution,[status(thm)],[f39,f14])).
% 0.16/5.48 fof(f45,plain,(
% 0.16/5.48 sQ2_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f44])).
% 0.16/5.48 fof(f46,plain,(
% 0.16/5.48 $false|~sQ3_spl),
% 0.16/5.48 inference(forward_subsumption_resolution,[status(thm)],[f41,f16])).
% 0.16/5.48 fof(f47,plain,(
% 0.16/5.48 ~sQ3_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f46])).
% 0.16/5.48 fof(f48,plain,(
% 0.16/5.48 $false),
% 0.16/5.48 inference(sat_refutation,[status(thm)],[f43,f45,f47])).
% 0.16/5.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/5.50 % Elapsed time: 0.045735 seconds
% 0.21/5.50 % CPU time: 0.119505 seconds
% 0.21/5.50 % Total memory used: 11.917 MB
% 0.21/5.50 % Net memory used: 11.565 MB
%------------------------------------------------------------------------------