%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD040-3 : 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 : n016.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 12:22:23 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD040-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n016.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Mon Sep 21 15:44:39 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.15/0.56 % Drodi V4.1.1
% 0.15/0.78 % Refutation found
% 0.15/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.78 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.78 fof(f1,axiom,(
% 0.15/0.78 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f2,axiom,(
% 0.15/0.78 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f3,axiom,(
% 0.15/0.78 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f4,axiom,(
% 0.15/0.78 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f5,axiom,(
% 0.15/0.78 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f8,axiom,(
% 0.15/0.78 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f9,axiom,(
% 0.15/0.78 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f11,axiom,(
% 0.15/0.78 (![C,D,B,X,Y,A,Z]: (( sum(C,D,B)| ~ sum(X,Y,A)| ~ product(A,Z,B)| ~ product(X,Z,C)| ~ product(Y,Z,D) ) ))),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f14,axiom,(
% 0.15/0.78 defined(additive_identity) ),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f17,axiom,(
% 0.15/0.78 defined(multiplicative_identity) ),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f26,axiom,(
% 0.15/0.78 ~ sum(additive_identity,additive_identity,multiplicative_identity) ),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f27,hypothesis,(
% 0.15/0.78 defined(a) ),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f28,negated_conjecture,(
% 0.15/0.78 ~ sum(additive_identity,a,additive_identity) ),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f29,negated_conjecture,(
% 0.15/0.78 sum(additive_identity,additive_identity,multiplicative_inverse(a)) ),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f30,plain,(
% 0.15/0.78 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.15/0.78 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.78 fof(f31,plain,(
% 0.15/0.78 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.78 fof(f32,plain,(
% 0.15/0.78 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.15/0.78 inference(miniscoping,[status(thm)],[f2])).
% 0.15/0.78 fof(f33,plain,(
% 0.15/0.78 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.78 fof(f34,plain,(
% 0.15/0.78 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.78 fof(f35,plain,(
% 0.15/0.78 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.78 fof(f36,plain,(
% 0.15/0.78 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.78 fof(f41,plain,(
% 0.15/0.78 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.78 fof(f42,plain,(
% 0.15/0.78 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.78 fof(f44,plain,(
% 0.15/0.78 ![D,Y,Z]: ((![C,X]: ((![B,A]: ((sum(C,D,B)|~sum(X,Y,A))|~product(A,Z,B)))|~product(X,Z,C)))|~product(Y,Z,D))),
% 0.15/0.78 inference(miniscoping,[status(thm)],[f11])).
% 0.15/0.78 fof(f45,plain,(
% 0.15/0.78 ![X0,X1,X2,X3,X4,X5,X6]: (sum(X0,X1,X2)|~sum(X3,X4,X5)|~product(X5,X6,X2)|~product(X3,X6,X0)|~product(X4,X6,X1))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/0.78 fof(f50,plain,(
% 0.15/0.78 defined(additive_identity)),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.78 fof(f54,plain,(
% 0.15/0.78 defined(multiplicative_identity)),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.78 fof(f68,plain,(
% 0.15/0.78 ~sum(additive_identity,additive_identity,multiplicative_identity)),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.78 fof(f69,plain,(
% 0.15/0.78 defined(a)),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.78 fof(f70,plain,(
% 0.15/0.78 ~sum(additive_identity,a,additive_identity)),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.78 fof(f71,plain,(
% 0.15/0.78 sum(additive_identity,additive_identity,multiplicative_inverse(a))),
% 0.15/0.78 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.78 fof(f72,plain,(
% 0.15/0.78 ![X0]: (sum(X0,multiplicative_inverse(a),multiplicative_inverse(a))|~sum(X0,additive_identity,additive_identity))),
% 0.15/0.78 inference(resolution,[status(thm)],[f31,f71])).
% 0.15/0.78 fof(f73,plain,(
% 0.15/0.78 ![X0,X1,X2]: (sum(X0,multiplicative_inverse(a),X1)|~sum(X0,additive_identity,X2)|~sum(X2,additive_identity,X1))),
% 0.15/0.78 inference(resolution,[status(thm)],[f31,f71])).
% 0.15/0.78 fof(f74,plain,(
% 0.15/0.78 ![X0,X1,X2]: (sum(X0,X1,multiplicative_inverse(a))|~sum(X0,X2,additive_identity)|~sum(X2,additive_identity,X1))),
% 0.15/0.78 inference(resolution,[status(thm)],[f31,f71])).
% 0.15/0.78 fof(f75,plain,(
% 0.15/0.78 sum(additive_identity,a,a)),
% 0.15/0.78 inference(resolution,[status(thm)],[f34,f69])).
% 0.15/0.78 fof(f76,plain,(
% 0.15/0.78 sum(additive_identity,additive_identity,additive_identity)),
% 0.15/0.78 inference(resolution,[status(thm)],[f34,f50])).
% 0.15/0.78 fof(f85,plain,(
% 0.15/0.78 ![X0,X1,X2]: (sum(X0,X1,multiplicative_inverse(a))|~sum(additive_identity,X2,X0)|~sum(X2,X1,additive_identity))),
% 0.15/0.78 inference(resolution,[status(thm)],[f33,f71])).
% 0.15/0.78 fof(f86,plain,(
% 0.15/0.78 sum(a,additive_identity,a)),
% 0.15/0.78 inference(resolution,[status(thm)],[f36,f75])).
% 0.15/0.78 fof(f88,plain,(
% 0.15/0.78 sum(additive_identity,multiplicative_identity,multiplicative_identity)),
% 0.15/0.78 inference(resolution,[status(thm)],[f54,f34])).
% 0.15/0.78 fof(f102,plain,(
% 0.15/0.78 sum(additive_inverse(a),a,additive_identity)),
% 0.15/0.78 inference(resolution,[status(thm)],[f35,f69])).
% 0.15/0.78 fof(f134,definition,(
% 0.15/0.78 sQ7_spl <=> (sum(additive_identity,multiplicative_identity,additive_identity))),
% 0.15/0.78 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.78 fof(f135,plain,(
% 0.15/0.78 sum(additive_identity,multiplicative_identity,additive_identity)|~sQ7_spl),
% 0.15/0.78 inference(component_clause,[status(thm)],[f134])).
% 0.15/0.78 fof(f141,definition,(
% 0.15/0.78 sQ9_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.15/0.78 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.78 fof(f142,plain,(
% 0.15/0.78 sum(additive_identity,a,additive_identity)|~sQ9_spl),
% 0.15/0.78 inference(component_clause,[status(thm)],[f141])).
% 0.15/0.78 fof(f156,plain,(
% 0.15/0.78 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.15/0.78 inference(resolution,[status(thm)],[f42,f69])).
% 0.15/0.78 fof(f174,definition,(
% 0.15/0.78 sQ16_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.15/0.78 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.78 fof(f175,plain,(
% 0.15/0.78 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ16_spl),
% 0.15/0.78 inference(component_clause,[status(thm)],[f174])).
% 0.15/0.78 fof(f177,plain,(
% 0.15/0.78 sQ16_spl|sQ9_spl),
% 0.15/0.78 inference(split_clause,[status(thm)],[f156,f174,f141])).
% 0.15/0.78 fof(f182,plain,(
% 0.15/0.78 $false|~sQ9_spl),
% 0.15/0.78 inference(forward_subsumption_resolution,[status(thm)],[f142,f70])).
% 0.15/0.78 fof(f183,plain,(
% 0.15/0.78 ~sQ9_spl),
% 0.15/0.78 inference(contradiction_clause,[status(thm)],[f182])).
% 0.15/0.78 fof(f457,plain,(
% 0.15/0.78 ![X0]: (sum(additive_identity,X0,multiplicative_inverse(a))|~sum(additive_identity,X0,additive_identity))),
% 0.15/0.78 inference(resolution,[status(thm)],[f76,f85])).
% 0.15/0.78 fof(f458,plain,(
% 0.15/0.78 sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))),
% 0.15/0.78 inference(resolution,[status(thm)],[f76,f72])).
% 0.15/0.78 fof(f460,plain,(
% 0.15/0.78 ![X0]: (sum(X0,multiplicative_inverse(a),additive_identity)|~sum(X0,additive_identity,additive_identity))),
% 0.15/0.78 inference(resolution,[status(thm)],[f76,f73])).
% 0.15/0.78 fof(f482,plain,(
% 0.15/0.78 ![X0]: (sum(X0,multiplicative_inverse(a),multiplicative_inverse(a))|~sum(additive_identity,additive_identity,X0))),
% 0.15/0.78 inference(resolution,[status(thm)],[f458,f33])).
% 0.15/0.78 fof(f492,plain,(
% 0.15/0.78 sum(additive_identity,multiplicative_inverse(a),additive_identity)),
% 0.15/0.78 inference(resolution,[status(thm)],[f460,f76])).
% 0.15/0.78 fof(f496,plain,(
% 0.15/0.78 sum(multiplicative_inverse(a),multiplicative_inverse(a),multiplicative_inverse(a))),
% 0.15/0.79 inference(resolution,[status(thm)],[f482,f71])).
% 0.15/0.79 fof(f506,plain,(
% 0.15/0.79 sum(multiplicative_inverse(a),additive_identity,additive_identity)),
% 0.15/0.79 inference(resolution,[status(thm)],[f492,f36])).
% 0.15/0.79 fof(f507,plain,(
% 0.15/0.79 ![X0,X1,X2]: (sum(X0,X1,additive_identity)|~sum(additive_identity,X2,X0)|~sum(X2,X1,multiplicative_inverse(a)))),
% 0.15/0.79 inference(resolution,[status(thm)],[f492,f33])).
% 0.15/0.79 fof(f518,plain,(
% 0.15/0.79 ![X0]: (sum(X0,multiplicative_inverse(a),additive_identity)|~sum(X0,additive_identity,multiplicative_inverse(a)))),
% 0.15/0.79 inference(resolution,[status(thm)],[f506,f73])).
% 0.15/0.79 fof(f523,plain,(
% 0.15/0.79 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X2,multiplicative_inverse(a),X0)|~sum(X2,additive_identity,X1))),
% 0.15/0.79 inference(resolution,[status(thm)],[f506,f33])).
% 0.15/0.79 fof(f633,plain,(
% 0.15/0.79 ![X0]: (sum(X0,a,multiplicative_inverse(a))|~sum(X0,a,additive_identity))),
% 0.15/0.79 inference(resolution,[status(thm)],[f86,f74])).
% 0.15/0.79 fof(f643,plain,(
% 0.15/0.79 sum(multiplicative_identity,additive_identity,multiplicative_identity)),
% 0.15/0.79 inference(resolution,[status(thm)],[f88,f36])).
% 0.15/0.79 fof(f893,plain,(
% 0.15/0.79 sum(additive_identity,multiplicative_identity,multiplicative_inverse(a))|~sQ7_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f135,f457])).
% 0.15/0.79 fof(f911,plain,(
% 0.15/0.79 product(multiplicative_identity,a,a)),
% 0.15/0.79 inference(resolution,[status(thm)],[f41,f69])).
% 0.15/0.79 fof(f1005,plain,(
% 0.15/0.79 sum(multiplicative_identity,additive_identity,multiplicative_inverse(a))|~sQ7_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f893,f36])).
% 0.15/0.79 fof(f1013,plain,(
% 0.15/0.79 sum(multiplicative_identity,multiplicative_inverse(a),additive_identity)|~sQ7_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f1005,f518])).
% 0.15/0.79 fof(f1030,plain,(
% 0.15/0.79 ![X0]: (sum(additive_identity,additive_identity,X0)|~sum(multiplicative_identity,additive_identity,X0)|~sQ7_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1013,f523])).
% 0.15/0.79 fof(f1201,plain,(
% 0.15/0.79 sum(additive_inverse(a),a,multiplicative_inverse(a))),
% 0.15/0.79 inference(resolution,[status(thm)],[f633,f102])).
% 0.15/0.79 fof(f1253,plain,(
% 0.15/0.79 sum(a,additive_inverse(a),multiplicative_inverse(a))),
% 0.15/0.79 inference(resolution,[status(thm)],[f1201,f36])).
% 0.15/0.79 fof(f1261,plain,(
% 0.15/0.79 ![X0]: (sum(X0,additive_inverse(a),additive_identity)|~sum(additive_identity,a,X0))),
% 0.15/0.79 inference(resolution,[status(thm)],[f1253,f507])).
% 0.15/0.79 fof(f1371,plain,(
% 0.15/0.79 sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)|~sum(multiplicative_inverse(a),multiplicative_inverse(a),multiplicative_inverse(a))|~sQ16_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f175,f45])).
% 0.15/0.79 fof(f1384,definition,(
% 0.15/0.79 sQ130_spl <=> (sum(multiplicative_identity,multiplicative_identity,multiplicative_identity))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f1387,definition,(
% 0.15/0.79 sQ131_spl <=> (sum(multiplicative_inverse(a),multiplicative_inverse(a),multiplicative_inverse(a)))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f1389,plain,(
% 0.15/0.79 ~sum(multiplicative_inverse(a),multiplicative_inverse(a),multiplicative_inverse(a))|sQ131_spl),
% 0.15/0.79 inference(component_clause,[status(thm)],[f1387])).
% 0.15/0.79 fof(f1390,plain,(
% 0.15/0.79 sQ130_spl|~sQ131_spl|~sQ16_spl),
% 0.15/0.79 inference(split_clause,[status(thm)],[f1371,f1384,f1387,f174])).
% 0.15/0.79 fof(f1393,plain,(
% 0.15/0.79 sum(a,a,a)|~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.15/0.79 inference(resolution,[status(thm)],[f911,f45])).
% 0.15/0.79 fof(f1408,definition,(
% 0.15/0.79 sQ132_spl <=> (sum(a,a,a))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f1409,plain,(
% 0.15/0.79 sum(a,a,a)|~sQ132_spl),
% 0.15/0.79 inference(component_clause,[status(thm)],[f1408])).
% 0.15/0.79 fof(f1411,plain,(
% 0.15/0.79 sQ132_spl|~sQ130_spl),
% 0.15/0.79 inference(split_clause,[status(thm)],[f1393,f1408,f1384])).
% 0.15/0.79 fof(f1414,plain,(
% 0.15/0.79 $false|sQ131_spl),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1389,f496])).
% 0.15/0.79 fof(f1415,plain,(
% 0.15/0.79 sQ131_spl),
% 0.15/0.79 inference(contradiction_clause,[status(thm)],[f1414])).
% 0.15/0.79 fof(f1738,plain,(
% 0.15/0.79 sum(a,additive_inverse(a),additive_identity)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1261,f75])).
% 0.15/0.79 fof(f1748,plain,(
% 0.15/0.79 sum(additive_identity,additive_identity,multiplicative_identity)|~sQ7_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f643,f1030])).
% 0.15/0.79 fof(f1764,plain,(
% 0.15/0.79 $false|~sQ7_spl),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1748,f68])).
% 0.15/0.79 fof(f1765,plain,(
% 0.15/0.79 ~sQ7_spl),
% 0.15/0.79 inference(contradiction_clause,[status(thm)],[f1764])).
% 0.15/0.79 fof(f2192,definition,(
% 0.15/0.79 sQ220_spl <=> (sum(additive_identity,additive_identity,multiplicative_identity))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f2193,plain,(
% 0.15/0.79 sum(additive_identity,additive_identity,multiplicative_identity)|~sQ220_spl),
% 0.15/0.79 inference(component_clause,[status(thm)],[f2192])).
% 0.15/0.79 fof(f2206,plain,(
% 0.15/0.79 $false|~sQ220_spl),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2193,f68])).
% 0.15/0.79 fof(f2207,plain,(
% 0.15/0.79 ~sQ220_spl),
% 0.15/0.79 inference(contradiction_clause,[status(thm)],[f2206])).
% 0.15/0.79 fof(f2277,plain,(
% 0.15/0.79 ![X0]: (sum(X0,additive_identity,additive_identity)|~sum(X0,a,a))),
% 0.15/0.79 inference(resolution,[status(thm)],[f1738,f31])).
% 0.15/0.79 fof(f2281,plain,(
% 0.15/0.79 sum(a,additive_identity,additive_identity)|~sQ132_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f2277,f1409])).
% 0.15/0.79 fof(f2296,plain,(
% 0.15/0.79 sum(additive_identity,a,additive_identity)|~sQ132_spl),
% 0.15/0.79 inference(resolution,[status(thm)],[f2281,f36])).
% 0.15/0.79 fof(f2305,plain,(
% 0.15/0.79 sQ9_spl|~sQ132_spl),
% 0.15/0.79 inference(split_clause,[status(thm)],[f2296,f141,f1408])).
% 0.15/0.79 fof(f2306,plain,(
% 0.15/0.79 $false),
% 0.15/0.79 inference(sat_refutation,[status(thm)],[f177,f183,f1390,f1411,f1415,f1765,f2207,f2305])).
% 0.15/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.81 % Elapsed time: 0.242488 seconds
% 0.15/0.81 % CPU time: 1.723139 seconds
% 0.15/0.81 % Total memory used: 41.357 MB
% 0.15/0.81 % Net memory used: 39.841 MB
%------------------------------------------------------------------------------