%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM015-1 : 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 : n005.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 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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 01:58:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % 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,axiom,(
% 0.14/0.38 (![X]: (divides(X,X) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![X,Y,Z]: (( ~ divides(X,Y)| ~ divides(Y,Z)| divides(X,Z) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X]: (( prime(X)| divides(divisor(X),X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (![X]: (( prime(X)| less(n1,divisor(X)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![X]: (( prime(X)| less(divisor(X),X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (![X]: (( ~ less(n1,X)| ~ less(X,a)| prime(factor_of(X)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (![X]: (( ~ less(n1,X)| ~ less(X,a)| divides(factor_of(X),X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,negated_conjecture,(
% 0.14/0.38 (![X]: (( ~ prime(X)| ~ divides(X,a) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0]: (divides(X0,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X,Z]: ((![Y]: (~divides(X,Y)|~divides(Y,Z)))|divides(X,Z))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~divides(X0,X1)|~divides(X1,X2)|divides(X0,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![X0]: (prime(X0)|divides(divisor(X0),X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0]: (prime(X0)|less(n1,divisor(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X0]: (prime(X0)|less(divisor(X0),X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0]: (~less(n1,X0)|~less(X0,a)|prime(factor_of(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![X0]: (~less(n1,X0)|~less(X0,a)|divides(factor_of(X0),X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![X0]: (~prime(X0)|~divides(X0,a))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![X0]: (~less(n1,X0)|~less(X0,a)|~divides(factor_of(X0),a))),
% 0.14/0.38 inference(resolution,[status(thm)],[f16,f19])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ![X0,X1]: (~less(n1,X0)|~less(X0,a)|~divides(factor_of(X0),X1)|~divides(X1,a))),
% 0.14/0.38 inference(resolution,[status(thm)],[f20,f12])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![X0,X1]: (~less(divisor(X0),a)|~divides(factor_of(divisor(X0)),X1)|~divides(X1,a)|prime(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f21,f14])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![X0]: (~divides(factor_of(divisor(a)),X0)|~divides(X0,a)|prime(a)|prime(a))),
% 0.14/0.38 inference(resolution,[status(thm)],[f22,f15])).
% 0.14/0.38 fof(f32,definition,(
% 0.14/0.38 ![X0]: (sQ2_spl <=> (~divides(factor_of(divisor(a)),X0)|~divides(X0,a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 ![X0]: (~divides(factor_of(divisor(a)),X0)|~divides(X0,a)|~sQ2_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f32])).
% 0.14/0.38 fof(f35,definition,(
% 0.14/0.38 sQ3_spl <=> (prime(a))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 prime(a)|~sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f35])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 sQ2_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f31,f32,f35])).
% 0.14/0.38 fof(f42,plain,(
% 0.14/0.38 ![X0]: (~less(divisor(X0),a)|divides(factor_of(divisor(X0)),divisor(X0))|prime(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f17,f14])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 divides(factor_of(divisor(a)),divisor(a))|prime(a)|prime(a)),
% 0.14/0.38 inference(resolution,[status(thm)],[f42,f15])).
% 0.14/0.38 fof(f51,definition,(
% 0.14/0.38 sQ5_spl <=> (divides(factor_of(divisor(a)),divisor(a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f52,plain,(
% 0.14/0.38 divides(factor_of(divisor(a)),divisor(a))|~sQ5_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f51])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 sQ5_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f50,f51,f35])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ~divides(a,a)|~sQ3_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f36,f19])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 $false|~sQ3_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f55,f10])).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 ~sQ3_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f56])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ~divides(divisor(a),a)|~sQ2_spl|~sQ5_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f33,f52])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 prime(a)|~sQ2_spl|~sQ5_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f59,f13])).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f65,f35,f32,f51])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f38,f54,f57,f67])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.036648 seconds
% 0.14/0.41 % CPU time: 0.109653 seconds
% 0.14/0.41 % Total memory used: 16.931 MB
% 0.14/0.41 % Net memory used: 16.395 MB
%------------------------------------------------------------------------------