TSTP Solution File: FLD019-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD019-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:16:21 EDT 2024
% Result : Unsatisfiable 33.73s 4.64s
% Output : CNFRefutation 34.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD019-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:20:13 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 33.73/4.64 % Refutation found
% 33.73/4.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 33.73/4.64 % SZS output start CNFRefutation for theBenchmark
% 33.73/4.64 fof(f2,axiom,(
% 33.73/4.64 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f3,axiom,(
% 33.73/4.64 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f4,axiom,(
% 33.73/4.64 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f6,axiom,(
% 33.73/4.64 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f11,axiom,(
% 33.73/4.64 defined(additive_identity) ),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f12,axiom,(
% 33.73/4.64 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f14,axiom,(
% 33.73/4.64 defined(multiplicative_identity) ),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f21,axiom,(
% 33.73/4.64 (![X]: (( equalish(X,X)| ~ defined(X) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f22,axiom,(
% 33.73/4.64 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f23,axiom,(
% 33.73/4.64 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f24,axiom,(
% 33.73/4.64 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f27,axiom,(
% 33.73/4.64 ~ equalish(additive_identity,multiplicative_identity) ),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f28,hypothesis,(
% 33.73/4.64 defined(a) ),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f29,negated_conjecture,(
% 33.73/4.64 equalish(additive_inverse(a),additive_identity) ),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f30,negated_conjecture,(
% 33.73/4.64 ~ equalish(a,additive_identity) ),
% 33.73/4.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.73/4.64 fof(f33,plain,(
% 33.73/4.64 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f2])).
% 33.73/4.64 fof(f34,plain,(
% 33.73/4.64 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f3])).
% 33.73/4.64 fof(f35,plain,(
% 33.73/4.64 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 33.73/4.64 inference(miniscoping,[status(esa)],[f4])).
% 33.73/4.64 fof(f36,plain,(
% 33.73/4.64 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f35])).
% 33.73/4.64 fof(f39,plain,(
% 33.73/4.64 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f6])).
% 33.73/4.64 fof(f47,plain,(
% 33.73/4.64 defined(additive_identity)),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f11])).
% 33.73/4.64 fof(f48,plain,(
% 33.73/4.64 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f12])).
% 33.73/4.64 fof(f51,plain,(
% 33.73/4.64 defined(multiplicative_identity)),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f14])).
% 33.73/4.64 fof(f62,plain,(
% 33.73/4.64 ![X0]: (equalish(X0,X0)|~defined(X0))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f21])).
% 33.73/4.64 fof(f63,plain,(
% 33.73/4.64 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f22])).
% 33.73/4.64 fof(f64,plain,(
% 33.73/4.64 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 33.73/4.64 inference(miniscoping,[status(esa)],[f23])).
% 33.73/4.64 fof(f65,plain,(
% 33.73/4.64 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f64])).
% 33.73/4.64 fof(f66,plain,(
% 33.73/4.64 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 33.73/4.64 inference(miniscoping,[status(esa)],[f24])).
% 33.73/4.64 fof(f67,plain,(
% 33.73/4.64 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 33.73/4.64 inference(cnf_transformation,[status(esa)],[f66])).
% 33.73/4.64 fof(f72,plain,(
% 33.73/4.64 ~equalish(additive_identity,multiplicative_identity)),
% 33.73/4.65 inference(cnf_transformation,[status(esa)],[f27])).
% 33.73/4.65 fof(f73,plain,(
% 33.73/4.65 defined(a)),
% 33.73/4.65 inference(cnf_transformation,[status(esa)],[f28])).
% 33.73/4.65 fof(f74,plain,(
% 33.73/4.65 equalish(additive_inverse(a),additive_identity)),
% 33.73/4.65 inference(cnf_transformation,[status(esa)],[f29])).
% 33.73/4.65 fof(f75,plain,(
% 33.73/4.65 ~equalish(a,additive_identity)),
% 33.73/4.65 inference(cnf_transformation,[status(esa)],[f30])).
% 33.73/4.65 fof(f76,plain,(
% 33.73/4.65 equalish(a,a)),
% 33.73/4.65 inference(resolution,[status(thm)],[f62,f73])).
% 33.73/4.65 fof(f78,plain,(
% 33.73/4.65 equalish(add(additive_identity,a),a)),
% 33.73/4.65 inference(resolution,[status(thm)],[f33,f73])).
% 33.73/4.65 fof(f79,plain,(
% 33.73/4.65 equalish(add(additive_identity,additive_identity),additive_identity)),
% 33.73/4.65 inference(resolution,[status(thm)],[f33,f47])).
% 33.73/4.65 fof(f82,plain,(
% 33.73/4.65 equalish(additive_identity,add(additive_identity,additive_identity))),
% 33.73/4.65 inference(resolution,[status(thm)],[f63,f79])).
% 33.73/4.65 fof(f83,plain,(
% 33.73/4.65 equalish(a,add(additive_identity,a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f63,f78])).
% 33.73/4.65 fof(f86,plain,(
% 33.73/4.65 equalish(additive_identity,additive_inverse(a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f63,f74])).
% 33.73/4.65 fof(f94,plain,(
% 33.73/4.65 equalish(add(a,additive_inverse(a)),additive_identity)),
% 33.73/4.65 inference(resolution,[status(thm)],[f34,f73])).
% 33.73/4.65 fof(f95,plain,(
% 33.73/4.65 equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity)),
% 33.73/4.65 inference(resolution,[status(thm)],[f34,f47])).
% 33.73/4.65 fof(f164,plain,(
% 33.73/4.65 ![X0]: (equalish(add(X0,a),add(a,X0))|~defined(X0))),
% 33.73/4.65 inference(resolution,[status(thm)],[f36,f73])).
% 33.73/4.65 fof(f312,plain,(
% 33.73/4.65 spl0_23 <=> equalish(a,a)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f314,plain,(
% 33.73/4.65 ~equalish(a,a)|spl0_23),
% 33.73/4.65 inference(component_clause,[status(thm)],[f312])).
% 33.73/4.65 fof(f1018,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,additive_identity)|~equalish(X0,add(a,additive_inverse(a))))),
% 33.73/4.65 inference(resolution,[status(thm)],[f65,f94])).
% 33.73/4.65 fof(f1021,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,a)|~equalish(X0,add(additive_identity,a)))),
% 33.73/4.65 inference(resolution,[status(thm)],[f65,f78])).
% 33.73/4.65 fof(f1024,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,add(additive_identity,additive_identity))|~equalish(X0,additive_identity))),
% 33.73/4.65 inference(resolution,[status(thm)],[f65,f82])).
% 33.73/4.65 fof(f1025,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,additive_inverse(a))|~equalish(X0,additive_identity))),
% 33.73/4.65 inference(resolution,[status(thm)],[f65,f86])).
% 33.73/4.65 fof(f1026,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,add(additive_identity,a))|~equalish(X0,a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f65,f83])).
% 33.73/4.65 fof(f1027,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,additive_identity)|~equalish(X0,additive_inverse(a)))),
% 33.73/4.65 inference(resolution,[status(thm)],[f65,f74])).
% 33.73/4.65 fof(f1033,plain,(
% 33.73/4.65 equalish(add(additive_identity,additive_identity),additive_inverse(a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f1025,f79])).
% 33.73/4.65 fof(f1039,plain,(
% 33.73/4.65 spl0_116 <=> defined(a)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f1041,plain,(
% 33.73/4.65 ~defined(a)|spl0_116),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1039])).
% 33.73/4.65 fof(f1046,plain,(
% 33.73/4.65 $false|spl0_116),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f1041,f73])).
% 33.73/4.65 fof(f1047,plain,(
% 33.73/4.65 spl0_116),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f1046])).
% 33.73/4.65 fof(f1051,plain,(
% 33.73/4.65 equalish(additive_inverse(a),add(additive_identity,additive_identity))),
% 33.73/4.65 inference(resolution,[status(thm)],[f1033,f63])).
% 33.73/4.65 fof(f1060,plain,(
% 33.73/4.65 equalish(add(additive_identity,additive_inverse(additive_identity)),add(additive_identity,additive_identity))),
% 33.73/4.65 inference(resolution,[status(thm)],[f1024,f95])).
% 33.73/4.65 fof(f1061,plain,(
% 33.73/4.65 equalish(add(additive_identity,additive_identity),add(additive_identity,additive_identity))),
% 33.73/4.65 inference(resolution,[status(thm)],[f1024,f79])).
% 33.73/4.65 fof(f1066,plain,(
% 33.73/4.65 ![X0]: (~equalish(X0,a)|equalish(add(additive_identity,a),X0))),
% 33.73/4.65 inference(resolution,[status(thm)],[f1026,f63])).
% 33.73/4.65 fof(f1079,plain,(
% 33.73/4.65 spl0_117 <=> equalish(add(additive_identity,a),additive_identity)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f1080,plain,(
% 33.73/4.65 equalish(add(additive_identity,a),additive_identity)|~spl0_117),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1079])).
% 33.73/4.65 fof(f1086,plain,(
% 33.73/4.65 spl0_118 <=> equalish(additive_identity,a)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f1088,plain,(
% 33.73/4.65 ~equalish(additive_identity,a)|spl0_118),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1086])).
% 33.73/4.65 fof(f1105,plain,(
% 33.73/4.65 spl0_120 <=> equalish(add(a,additive_inverse(a)),a)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f1107,plain,(
% 33.73/4.65 ~equalish(add(a,additive_inverse(a)),a)|spl0_120),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1105])).
% 33.73/4.65 fof(f1108,plain,(
% 33.73/4.65 equalish(add(additive_identity,a),additive_identity)|~equalish(add(a,additive_inverse(a)),a)),
% 33.73/4.65 inference(resolution,[status(thm)],[f1018,f1066])).
% 33.73/4.65 fof(f1109,plain,(
% 33.73/4.65 spl0_117|~spl0_120),
% 33.73/4.65 inference(split_clause,[status(thm)],[f1108,f1079,f1105])).
% 33.73/4.65 fof(f1136,plain,(
% 33.73/4.65 spl0_127 <=> defined(additive_inverse(a))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f1137,plain,(
% 33.73/4.65 defined(additive_inverse(a))|~spl0_127),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1136])).
% 33.73/4.65 fof(f1138,plain,(
% 33.73/4.65 ~defined(additive_inverse(a))|spl0_127),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1136])).
% 33.73/4.65 fof(f1139,plain,(
% 33.73/4.65 spl0_128 <=> equalish(multiply(multiplicative_identity,additive_inverse(a)),additive_identity)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f1140,plain,(
% 33.73/4.65 equalish(multiply(multiplicative_identity,additive_inverse(a)),additive_identity)|~spl0_128),
% 33.73/4.65 inference(component_clause,[status(thm)],[f1139])).
% 33.73/4.65 fof(f1142,plain,(
% 33.73/4.65 ~defined(additive_inverse(a))|equalish(multiply(multiplicative_identity,additive_inverse(a)),additive_identity)),
% 33.73/4.65 inference(resolution,[status(thm)],[f39,f1027])).
% 33.73/4.65 fof(f1143,plain,(
% 33.73/4.65 ~spl0_127|spl0_128),
% 33.73/4.65 inference(split_clause,[status(thm)],[f1142,f1136,f1139])).
% 33.73/4.65 fof(f1227,plain,(
% 33.73/4.65 ~defined(a)|spl0_127),
% 33.73/4.65 inference(resolution,[status(thm)],[f1138,f48])).
% 33.73/4.65 fof(f1228,plain,(
% 33.73/4.65 ~spl0_116|spl0_127),
% 33.73/4.65 inference(split_clause,[status(thm)],[f1227,f1039,f1136])).
% 33.73/4.65 fof(f1368,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,additive_identity)|~equalish(X0,multiply(multiplicative_identity,additive_inverse(a)))|~spl0_128)),
% 33.73/4.65 inference(resolution,[status(thm)],[f1140,f65])).
% 33.73/4.65 fof(f1411,plain,(
% 33.73/4.65 equalish(additive_identity,add(additive_identity,a))|~spl0_117),
% 33.73/4.65 inference(resolution,[status(thm)],[f1080,f63])).
% 33.73/4.65 fof(f1483,plain,(
% 33.73/4.65 equalish(additive_identity,a)|~spl0_117),
% 33.73/4.65 inference(resolution,[status(thm)],[f1411,f1021])).
% 33.73/4.65 fof(f1484,plain,(
% 33.73/4.65 $false|spl0_118|~spl0_117),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f1483,f1088])).
% 33.73/4.65 fof(f1485,plain,(
% 33.73/4.65 spl0_118|~spl0_117),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f1484])).
% 33.73/4.65 fof(f1979,plain,(
% 33.73/4.65 $false|spl0_23),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f314,f76])).
% 33.73/4.65 fof(f1980,plain,(
% 33.73/4.65 spl0_23),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f1979])).
% 33.73/4.65 fof(f2221,plain,(
% 33.73/4.65 spl0_209 <=> equalish(a,additive_identity)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f2222,plain,(
% 33.73/4.65 equalish(a,additive_identity)|~spl0_209),
% 33.73/4.65 inference(component_clause,[status(thm)],[f2221])).
% 33.73/4.65 fof(f2700,plain,(
% 33.73/4.65 $false|~spl0_209),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f2222,f75])).
% 33.73/4.65 fof(f2701,plain,(
% 33.73/4.65 ~spl0_209),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f2700])).
% 33.73/4.65 fof(f3825,plain,(
% 33.73/4.65 spl0_275 <=> equalish(add(additive_identity,additive_inverse(additive_identity)),add(additive_identity,additive_identity))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f3827,plain,(
% 33.73/4.65 ~equalish(add(additive_identity,additive_inverse(additive_identity)),add(additive_identity,additive_identity))|spl0_275),
% 33.73/4.65 inference(component_clause,[status(thm)],[f3825])).
% 33.73/4.65 fof(f3836,plain,(
% 33.73/4.65 spl0_276 <=> equalish(add(additive_identity,additive_identity),add(additive_identity,additive_identity))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f3838,plain,(
% 33.73/4.65 ~equalish(add(additive_identity,additive_identity),add(additive_identity,additive_identity))|spl0_276),
% 33.73/4.65 inference(component_clause,[status(thm)],[f3836])).
% 33.73/4.65 fof(f3848,plain,(
% 33.73/4.65 spl0_278 <=> equalish(additive_inverse(a),add(additive_identity,additive_identity))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f3850,plain,(
% 33.73/4.65 ~equalish(additive_inverse(a),add(additive_identity,additive_identity))|spl0_278),
% 33.73/4.65 inference(component_clause,[status(thm)],[f3848])).
% 33.73/4.65 fof(f3862,plain,(
% 33.73/4.65 spl0_280 <=> equalish(additive_identity,add(additive_identity,additive_identity))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f3864,plain,(
% 33.73/4.65 ~equalish(additive_identity,add(additive_identity,additive_identity))|spl0_280),
% 33.73/4.65 inference(component_clause,[status(thm)],[f3862])).
% 33.73/4.65 fof(f3891,plain,(
% 33.73/4.65 $false|spl0_276),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f3838,f1061])).
% 33.73/4.65 fof(f3892,plain,(
% 33.73/4.65 spl0_276),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f3891])).
% 33.73/4.65 fof(f3893,plain,(
% 33.73/4.65 $false|spl0_275),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f3827,f1060])).
% 33.73/4.65 fof(f3894,plain,(
% 33.73/4.65 spl0_275),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f3893])).
% 33.73/4.65 fof(f3895,plain,(
% 33.73/4.65 $false|spl0_278),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f3850,f1051])).
% 33.73/4.65 fof(f3896,plain,(
% 33.73/4.65 spl0_278),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f3895])).
% 33.73/4.65 fof(f3897,plain,(
% 33.73/4.65 $false|spl0_280),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f3864,f82])).
% 33.73/4.65 fof(f3898,plain,(
% 33.73/4.65 spl0_280),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f3897])).
% 33.73/4.65 fof(f4664,plain,(
% 33.73/4.65 ![X0]: (equalish(add(additive_inverse(a),X0),add(additive_identity,X0))|~defined(X0))),
% 33.73/4.65 inference(resolution,[status(thm)],[f67,f74])).
% 33.73/4.65 fof(f5253,plain,(
% 33.73/4.65 spl0_352 <=> defined(multiplicative_identity)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f5255,plain,(
% 33.73/4.65 ~defined(multiplicative_identity)|spl0_352),
% 33.73/4.65 inference(component_clause,[status(thm)],[f5253])).
% 33.73/4.65 fof(f5263,plain,(
% 33.73/4.65 $false|spl0_352),
% 33.73/4.65 inference(forward_subsumption_resolution,[status(thm)],[f5255,f51])).
% 33.73/4.65 fof(f5264,plain,(
% 33.73/4.65 spl0_352),
% 33.73/4.65 inference(contradiction_clause,[status(thm)],[f5263])).
% 33.73/4.65 fof(f5395,plain,(
% 33.73/4.65 equalish(add(additive_inverse(a),a),add(additive_identity,a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f4664,f73])).
% 33.73/4.65 fof(f5397,plain,(
% 33.73/4.65 equalish(add(additive_inverse(a),a),a)),
% 33.73/4.65 inference(resolution,[status(thm)],[f5395,f1021])).
% 33.73/4.65 fof(f5415,plain,(
% 33.73/4.65 equalish(a,add(additive_inverse(a),a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f5397,f63])).
% 33.73/4.65 fof(f5423,plain,(
% 33.73/4.65 ![X0]: (equalish(X0,add(additive_inverse(a),a))|~equalish(X0,a))),
% 33.73/4.65 inference(resolution,[status(thm)],[f5415,f65])).
% 33.73/4.65 fof(f5586,plain,(
% 33.73/4.65 ![X0,X1]: (~equalish(X0,a)|equalish(X1,add(additive_inverse(a),a))|~equalish(X1,X0))),
% 33.73/4.65 inference(resolution,[status(thm)],[f5423,f65])).
% 33.73/4.65 fof(f5588,plain,(
% 33.73/4.65 ![X0]: (~equalish(X0,a)|equalish(add(additive_inverse(a),a),X0))),
% 33.73/4.65 inference(resolution,[status(thm)],[f5423,f63])).
% 33.73/4.65 fof(f5890,plain,(
% 33.73/4.65 ![X0,X1]: (~equalish(X0,a)|equalish(X1,X0)|~equalish(X1,add(additive_inverse(a),a)))),
% 33.73/4.65 inference(resolution,[status(thm)],[f5588,f65])).
% 33.73/4.65 fof(f7137,plain,(
% 33.73/4.65 spl0_477 <=> equalish(multiply(multiplicative_identity,additive_inverse(a)),add(additive_inverse(a),a))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f7142,plain,(
% 33.73/4.65 ~equalish(additive_identity,a)|equalish(multiply(multiplicative_identity,additive_inverse(a)),add(additive_inverse(a),a))|~spl0_128),
% 33.73/4.65 inference(resolution,[status(thm)],[f5586,f1140])).
% 33.73/4.65 fof(f7143,plain,(
% 33.73/4.65 ~spl0_118|spl0_477|~spl0_128),
% 33.73/4.65 inference(split_clause,[status(thm)],[f7142,f1086,f7137,f1139])).
% 33.73/4.65 fof(f7203,plain,(
% 33.73/4.65 spl0_484 <=> equalish(add(a,additive_inverse(a)),add(additive_inverse(a),a))),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f7940,plain,(
% 33.73/4.65 equalish(add(additive_inverse(a),a),add(a,additive_inverse(a)))|~spl0_127),
% 33.73/4.65 inference(resolution,[status(thm)],[f164,f1137])).
% 33.73/4.65 fof(f9143,plain,(
% 33.73/4.65 ~equalish(a,a)|~equalish(add(a,additive_inverse(a)),add(additive_inverse(a),a))|spl0_120),
% 33.73/4.65 inference(resolution,[status(thm)],[f5890,f1107])).
% 33.73/4.65 fof(f9144,plain,(
% 33.73/4.65 ~spl0_23|~spl0_484|spl0_120),
% 33.73/4.65 inference(split_clause,[status(thm)],[f9143,f312,f7203,f1105])).
% 33.73/4.65 fof(f9280,plain,(
% 33.73/4.65 ![X0,X1]: (~equalish(X0,a)|~equalish(X1,add(additive_inverse(a),a))|equalish(X0,X1))),
% 33.73/4.65 inference(resolution,[status(thm)],[f5890,f63])).
% 33.73/4.65 fof(f11503,plain,(
% 33.73/4.65 spl0_803 <=> ~equalish(X0,a)|equalish(X0,additive_identity)),
% 33.73/4.65 introduced(split_symbol_definition)).
% 33.73/4.65 fof(f11504,plain,(
% 33.73/4.65 ![X0]: (~equalish(X0,a)|equalish(X0,additive_identity)|~spl0_803)),
% 33.73/4.65 inference(component_clause,[status(thm)],[f11503])).
% 34.14/4.67 fof(f11506,plain,(
% 34.14/4.67 ![X0]: (~equalish(X0,a)|~equalish(multiply(multiplicative_identity,additive_inverse(a)),add(additive_inverse(a),a))|equalish(X0,additive_identity)|~spl0_128)),
% 34.14/4.67 inference(resolution,[status(thm)],[f9280,f1368])).
% 34.14/4.67 fof(f11507,plain,(
% 34.14/4.67 spl0_803|~spl0_477|~spl0_128),
% 34.14/4.67 inference(split_clause,[status(thm)],[f11506,f11503,f7137,f1139])).
% 34.14/4.67 fof(f13453,plain,(
% 34.14/4.67 spl0_921 <=> equalish(multiplicative_identity,additive_identity)),
% 34.14/4.67 introduced(split_symbol_definition)).
% 34.14/4.67 fof(f13454,plain,(
% 34.14/4.67 equalish(multiplicative_identity,additive_identity)|~spl0_921),
% 34.14/4.67 inference(component_clause,[status(thm)],[f13453])).
% 34.14/4.67 fof(f14468,plain,(
% 34.14/4.67 equalish(additive_identity,multiplicative_identity)|~spl0_921),
% 34.14/4.67 inference(resolution,[status(thm)],[f13454,f63])).
% 34.14/4.67 fof(f14469,plain,(
% 34.14/4.67 $false|~spl0_921),
% 34.14/4.67 inference(forward_subsumption_resolution,[status(thm)],[f14468,f72])).
% 34.14/4.67 fof(f14470,plain,(
% 34.14/4.67 ~spl0_921),
% 34.14/4.67 inference(contradiction_clause,[status(thm)],[f14469])).
% 34.14/4.67 fof(f14546,plain,(
% 34.14/4.67 equalish(a,additive_identity)|~spl0_803),
% 34.14/4.67 inference(resolution,[status(thm)],[f11504,f76])).
% 34.14/4.67 fof(f14547,plain,(
% 34.14/4.67 spl0_209|~spl0_803),
% 34.14/4.67 inference(split_clause,[status(thm)],[f14546,f2221,f11503])).
% 34.14/4.67 fof(f17292,plain,(
% 34.14/4.67 equalish(add(a,additive_inverse(a)),add(additive_inverse(a),a))|~spl0_127),
% 34.14/4.67 inference(resolution,[status(thm)],[f7940,f63])).
% 34.14/4.67 fof(f17293,plain,(
% 34.14/4.67 spl0_484|~spl0_127),
% 34.14/4.67 inference(split_clause,[status(thm)],[f17292,f7203,f1136])).
% 34.14/4.67 fof(f17294,plain,(
% 34.14/4.67 $false),
% 34.14/4.67 inference(sat_refutation,[status(thm)],[f1047,f1109,f1143,f1228,f1485,f1980,f2701,f3892,f3894,f3896,f3898,f5264,f7143,f9144,f11507,f14470,f14547,f17293])).
% 34.14/4.67 % SZS output end CNFRefutation for theBenchmark.p
% 34.14/4.71 % Elapsed time: 4.347420 seconds
% 34.14/4.71 % CPU time: 34.238905 seconds
% 34.14/4.71 % Total memory used: 181.959 MB
% 34.14/4.71 % Net memory used: 168.383 MB
%------------------------------------------------------------------------------