%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD064-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:22:29 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD064-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 15:43:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,axiom,(
% 0.13/0.42 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,axiom,(
% 0.13/0.42 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,axiom,(
% 0.13/0.42 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f17,axiom,(
% 0.13/0.42 defined(multiplicative_identity) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f23,axiom,(
% 0.13/0.42 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f24,axiom,(
% 0.13/0.42 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f27,hypothesis,(
% 0.13/0.42 defined(a) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f28,negated_conjecture,(
% 0.13/0.42 less_or_equal(additive_identity,a) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f29,negated_conjecture,(
% 0.13/0.42 ~ less_or_equal(additive_inverse(a),additive_identity) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f34,plain,(
% 0.13/0.42 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f35,plain,(
% 0.13/0.42 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f36,plain,(
% 0.13/0.42 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f51,plain,(
% 0.13/0.42 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.42 fof(f54,plain,(
% 0.13/0.42 defined(multiplicative_identity)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.42 fof(f63,plain,(
% 0.13/0.42 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.42 fof(f64,plain,(
% 0.13/0.42 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.42 fof(f65,plain,(
% 0.13/0.42 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.42 fof(f66,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.42 fof(f69,plain,(
% 0.13/0.42 defined(a)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.42 fof(f70,plain,(
% 0.13/0.42 less_or_equal(additive_identity,a)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.42 fof(f71,plain,(
% 0.13/0.42 ~less_or_equal(additive_inverse(a),additive_identity)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.42 fof(f74,plain,(
% 0.13/0.42 ![X0]: (~defined(X0)|sum(additive_identity,additive_inverse(X0),additive_inverse(X0)))),
% 0.13/0.42 inference(resolution,[status(thm)],[f51,f34])).
% 0.13/0.42 fof(f83,plain,(
% 0.13/0.42 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(a,X2,X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f66,f70])).
% 0.13/0.42 fof(f171,plain,(
% 0.13/0.42 ![X0]: (less_or_equal(X0,multiplicative_identity)|less_or_equal(multiplicative_identity,X0)|~defined(X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f54,f64])).
% 0.13/0.42 fof(f189,plain,(
% 0.13/0.42 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(X2,a,X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f83,f36])).
% 0.13/0.42 fof(f194,plain,(
% 0.13/0.42 ![X0]: (~sum(additive_identity,X0,additive_inverse(a))|~sum(X0,a,additive_identity))),
% 0.13/0.42 inference(resolution,[status(thm)],[f189,f71])).
% 0.13/0.42 fof(f305,definition,(
% 0.13/0.42 sQ26_spl <=> (defined(a))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f307,plain,(
% 0.13/0.42 ~defined(a)|sQ26_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f305])).
% 0.13/0.43 fof(f312,plain,(
% 0.13/0.43 $false|sQ26_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f307,f69])).
% 0.13/0.43 fof(f313,plain,(
% 0.13/0.43 sQ26_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f312])).
% 0.13/0.43 fof(f381,plain,(
% 0.13/0.43 ~sum(additive_inverse(a),a,additive_identity)|~defined(a)),
% 0.13/0.43 inference(resolution,[status(thm)],[f194,f74])).
% 0.13/0.43 fof(f387,definition,(
% 0.13/0.43 sQ39_spl <=> (sum(additive_inverse(a),a,additive_identity))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f389,plain,(
% 0.13/0.43 ~sum(additive_inverse(a),a,additive_identity)|sQ39_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f387])).
% 0.13/0.43 fof(f390,plain,(
% 0.13/0.43 ~sQ39_spl|~sQ26_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f381,f387,f305])).
% 0.13/0.43 fof(f604,plain,(
% 0.13/0.43 less_or_equal(multiplicative_identity,multiplicative_identity)|less_or_equal(multiplicative_identity,multiplicative_identity)),
% 0.13/0.43 inference(resolution,[status(thm)],[f171,f54])).
% 0.13/0.43 fof(f643,definition,(
% 0.13/0.43 sQ76_spl <=> (less_or_equal(multiplicative_identity,multiplicative_identity))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f646,plain,(
% 0.13/0.43 sQ76_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f604,f643])).
% 0.13/0.43 fof(f679,plain,(
% 0.13/0.43 ~defined(a)|sQ39_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f389,f35])).
% 0.13/0.43 fof(f684,plain,(
% 0.13/0.43 ~sQ26_spl|sQ39_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f679,f305,f387])).
% 0.13/0.43 fof(f685,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(sat_refutation,[status(thm)],[f313,f390,f646,f684])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.087525 seconds
% 0.13/0.44 % CPU time: 0.513759 seconds
% 0.13/0.44 % Total memory used: 25.176 MB
% 0.13/0.44 % Net memory used: 24.638 MB
%------------------------------------------------------------------------------