TSTP Solution File: FLD059-2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Wed May 31 12:07:05 EDT 2023
% Result : Unsatisfiable 3.62s 0.92s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n003.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:02:23 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 3.62/0.92 % Refutation found
% 3.62/0.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.62/0.92 % SZS output start CNFRefutation for theBenchmark
% 3.62/0.92 fof(f2,axiom,(
% 3.62/0.92 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f11,axiom,(
% 3.62/0.92 defined(additive_identity) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f14,axiom,(
% 3.62/0.92 defined(multiplicative_identity) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f16,axiom,(
% 3.62/0.92 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f17,axiom,(
% 3.62/0.92 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f18,axiom,(
% 3.62/0.92 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f19,axiom,(
% 3.62/0.92 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f21,axiom,(
% 3.62/0.92 (![X]: (( equalish(X,X)| ~ defined(X) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f22,axiom,(
% 3.62/0.92 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f23,axiom,(
% 3.62/0.92 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f26,axiom,(
% 3.62/0.92 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f27,axiom,(
% 3.62/0.92 ~ equalish(additive_identity,multiplicative_identity) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f28,hypothesis,(
% 3.62/0.92 defined(a) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f29,hypothesis,(
% 3.62/0.92 defined(u) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f30,negated_conjecture,(
% 3.62/0.92 less_or_equal(additive_identity,a) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f31,negated_conjecture,(
% 3.62/0.92 equalish(add(a,a),u) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f32,negated_conjecture,(
% 3.62/0.92 ~ less_or_equal(additive_identity,u) ),
% 3.62/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.62/0.92 fof(f35,plain,(
% 3.62/0.92 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f2])).
% 3.62/0.92 fof(f49,plain,(
% 3.62/0.92 defined(additive_identity)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f11])).
% 3.62/0.92 fof(f53,plain,(
% 3.62/0.92 defined(multiplicative_identity)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f14])).
% 3.62/0.92 fof(f55,plain,(
% 3.62/0.92 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f16])).
% 3.62/0.92 fof(f56,plain,(
% 3.62/0.92 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 3.62/0.92 inference(miniscoping,[status(esa)],[f17])).
% 3.62/0.92 fof(f57,plain,(
% 3.62/0.92 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f56])).
% 3.62/0.92 fof(f58,plain,(
% 3.62/0.92 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 3.62/0.92 inference(miniscoping,[status(esa)],[f18])).
% 3.62/0.92 fof(f59,plain,(
% 3.62/0.92 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f58])).
% 3.62/0.92 fof(f60,plain,(
% 3.62/0.92 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 3.62/0.92 inference(miniscoping,[status(esa)],[f19])).
% 3.62/0.92 fof(f61,plain,(
% 3.62/0.92 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f60])).
% 3.62/0.92 fof(f64,plain,(
% 3.62/0.92 ![X0]: (equalish(X0,X0)|~defined(X0))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f21])).
% 3.62/0.92 fof(f65,plain,(
% 3.62/0.92 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f22])).
% 3.62/0.92 fof(f66,plain,(
% 3.62/0.92 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 3.62/0.92 inference(miniscoping,[status(esa)],[f23])).
% 3.62/0.92 fof(f67,plain,(
% 3.62/0.92 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f66])).
% 3.62/0.92 fof(f72,plain,(
% 3.62/0.92 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 3.62/0.92 inference(miniscoping,[status(esa)],[f26])).
% 3.62/0.92 fof(f73,plain,(
% 3.62/0.92 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f72])).
% 3.62/0.92 fof(f74,plain,(
% 3.62/0.92 ~equalish(additive_identity,multiplicative_identity)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f27])).
% 3.62/0.92 fof(f75,plain,(
% 3.62/0.92 defined(a)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f28])).
% 3.62/0.92 fof(f76,plain,(
% 3.62/0.92 defined(u)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f29])).
% 3.62/0.92 fof(f77,plain,(
% 3.62/0.92 less_or_equal(additive_identity,a)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f30])).
% 3.62/0.92 fof(f78,plain,(
% 3.62/0.92 equalish(add(a,a),u)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f31])).
% 3.62/0.92 fof(f79,plain,(
% 3.62/0.92 ~less_or_equal(additive_identity,u)),
% 3.62/0.92 inference(cnf_transformation,[status(esa)],[f32])).
% 3.62/0.92 fof(f80,plain,(
% 3.62/0.92 spl0_0 <=> equalish(a,additive_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f83,plain,(
% 3.62/0.92 spl0_1 <=> less_or_equal(a,additive_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f85,plain,(
% 3.62/0.92 ~less_or_equal(a,additive_identity)|spl0_1),
% 3.62/0.92 inference(component_clause,[status(thm)],[f83])).
% 3.62/0.92 fof(f86,plain,(
% 3.62/0.92 equalish(a,additive_identity)|~less_or_equal(a,additive_identity)),
% 3.62/0.92 inference(resolution,[status(thm)],[f55,f77])).
% 3.62/0.92 fof(f87,plain,(
% 3.62/0.92 spl0_0|~spl0_1),
% 3.62/0.92 inference(split_clause,[status(thm)],[f86,f80,f83])).
% 3.62/0.92 fof(f89,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,a)|~equalish(additive_identity,X0))),
% 3.62/0.92 inference(resolution,[status(thm)],[f73,f77])).
% 3.62/0.92 fof(f91,plain,(
% 3.62/0.92 ![X0,X1]: (~equalish(additive_identity,X0)|less_or_equal(X1,a)|~less_or_equal(X1,X0))),
% 3.62/0.92 inference(resolution,[status(thm)],[f89,f57])).
% 3.62/0.92 fof(f99,plain,(
% 3.62/0.92 spl0_2 <=> equalish(additive_identity,a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f100,plain,(
% 3.62/0.92 equalish(additive_identity,a)|~spl0_2),
% 3.62/0.92 inference(component_clause,[status(thm)],[f99])).
% 3.62/0.92 fof(f101,plain,(
% 3.62/0.92 ~equalish(additive_identity,a)|spl0_2),
% 3.62/0.92 inference(component_clause,[status(thm)],[f99])).
% 3.62/0.92 fof(f102,plain,(
% 3.62/0.92 spl0_3 <=> equalish(a,a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f103,plain,(
% 3.62/0.92 equalish(a,a)|~spl0_3),
% 3.62/0.92 inference(component_clause,[status(thm)],[f102])).
% 3.62/0.92 fof(f118,plain,(
% 3.62/0.92 ~equalish(a,additive_identity)|spl0_2),
% 3.62/0.92 inference(resolution,[status(thm)],[f101,f65])).
% 3.62/0.92 fof(f119,plain,(
% 3.62/0.92 ![X0]: (~equalish(a,X0)|~equalish(X0,additive_identity)|spl0_2)),
% 3.62/0.92 inference(resolution,[status(thm)],[f118,f67])).
% 3.62/0.92 fof(f123,plain,(
% 3.62/0.92 spl0_6 <=> defined(additive_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f125,plain,(
% 3.62/0.92 ~defined(additive_identity)|spl0_6),
% 3.62/0.92 inference(component_clause,[status(thm)],[f123])).
% 3.62/0.92 fof(f130,plain,(
% 3.62/0.92 spl0_7 <=> defined(a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f132,plain,(
% 3.62/0.92 ~defined(a)|spl0_7),
% 3.62/0.92 inference(component_clause,[status(thm)],[f130])).
% 3.62/0.92 fof(f133,plain,(
% 3.62/0.92 ~equalish(a,additive_identity)|~defined(a)|spl0_2),
% 3.62/0.92 inference(resolution,[status(thm)],[f119,f64])).
% 3.62/0.92 fof(f134,plain,(
% 3.62/0.92 ~spl0_0|~spl0_7|spl0_2),
% 3.62/0.92 inference(split_clause,[status(thm)],[f133,f80,f130,f99])).
% 3.62/0.92 fof(f135,plain,(
% 3.62/0.92 $false|spl0_7),
% 3.62/0.92 inference(forward_subsumption_resolution,[status(thm)],[f132,f75])).
% 3.62/0.92 fof(f136,plain,(
% 3.62/0.92 spl0_7),
% 3.62/0.92 inference(contradiction_clause,[status(thm)],[f135])).
% 3.62/0.92 fof(f176,plain,(
% 3.62/0.92 $false|spl0_6),
% 3.62/0.92 inference(forward_subsumption_resolution,[status(thm)],[f125,f49])).
% 3.62/0.92 fof(f177,plain,(
% 3.62/0.92 spl0_6),
% 3.62/0.92 inference(contradiction_clause,[status(thm)],[f176])).
% 3.62/0.92 fof(f295,plain,(
% 3.62/0.92 spl0_26 <=> less_or_equal(additive_identity,a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f297,plain,(
% 3.62/0.92 ~less_or_equal(additive_identity,a)|spl0_26),
% 3.62/0.92 inference(component_clause,[status(thm)],[f295])).
% 3.62/0.92 fof(f298,plain,(
% 3.62/0.92 spl0_27 <=> less_or_equal(a,a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f299,plain,(
% 3.62/0.92 less_or_equal(a,a)|~spl0_27),
% 3.62/0.92 inference(component_clause,[status(thm)],[f298])).
% 3.62/0.92 fof(f324,plain,(
% 3.62/0.92 spl0_31 <=> less_or_equal(u,a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f325,plain,(
% 3.62/0.92 less_or_equal(u,a)|~spl0_31),
% 3.62/0.92 inference(component_clause,[status(thm)],[f324])).
% 3.62/0.92 fof(f326,plain,(
% 3.62/0.92 ~less_or_equal(u,a)|spl0_31),
% 3.62/0.92 inference(component_clause,[status(thm)],[f324])).
% 3.62/0.92 fof(f351,plain,(
% 3.62/0.92 ![X0]: (~equalish(additive_identity,X0)|~less_or_equal(u,X0)|spl0_31)),
% 3.62/0.92 inference(resolution,[status(thm)],[f326,f91])).
% 3.62/0.92 fof(f361,plain,(
% 3.62/0.92 spl0_34 <=> less_or_equal(u,additive_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f362,plain,(
% 3.62/0.92 less_or_equal(u,additive_identity)|~spl0_34),
% 3.62/0.92 inference(component_clause,[status(thm)],[f361])).
% 3.62/0.92 fof(f364,plain,(
% 3.62/0.92 ~less_or_equal(u,additive_identity)|~defined(additive_identity)|spl0_31),
% 3.62/0.92 inference(resolution,[status(thm)],[f351,f64])).
% 3.62/0.92 fof(f365,plain,(
% 3.62/0.92 ~spl0_34|~spl0_6|spl0_31),
% 3.62/0.92 inference(split_clause,[status(thm)],[f364,f361,f123,f324])).
% 3.62/0.92 fof(f496,plain,(
% 3.62/0.92 equalish(a,a)|~less_or_equal(a,a)|~spl0_27),
% 3.62/0.92 inference(resolution,[status(thm)],[f299,f55])).
% 3.62/0.92 fof(f497,plain,(
% 3.62/0.92 spl0_3|~spl0_27),
% 3.62/0.92 inference(split_clause,[status(thm)],[f496,f102,f298])).
% 3.62/0.92 fof(f684,plain,(
% 3.62/0.92 equalish(add(additive_identity,a),a)),
% 3.62/0.92 inference(resolution,[status(thm)],[f35,f75])).
% 3.62/0.92 fof(f690,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,u)|less_or_equal(u,X0)|~defined(X0))),
% 3.62/0.92 inference(resolution,[status(thm)],[f59,f76])).
% 3.62/0.92 fof(f691,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 3.62/0.92 inference(resolution,[status(thm)],[f59,f75])).
% 3.62/0.92 fof(f692,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,additive_identity)|less_or_equal(additive_identity,X0)|~defined(X0))),
% 3.62/0.92 inference(resolution,[status(thm)],[f59,f49])).
% 3.62/0.92 fof(f693,plain,(
% 3.62/0.92 ![X0,X1,X2,X3]: (~defined(X0)|~less_or_equal(X1,X2)|less_or_equal(X3,add(X2,X0))|~equalish(add(X1,X0),X3))),
% 3.62/0.92 inference(resolution,[status(thm)],[f61,f73])).
% 3.62/0.92 fof(f711,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,multiplicative_identity)|less_or_equal(multiplicative_identity,X0)|~defined(X0))),
% 3.62/0.92 inference(resolution,[status(thm)],[f53,f59])).
% 3.62/0.92 fof(f803,plain,(
% 3.62/0.92 $false|spl0_26),
% 3.62/0.92 inference(forward_subsumption_resolution,[status(thm)],[f297,f77])).
% 3.62/0.92 fof(f804,plain,(
% 3.62/0.92 spl0_26),
% 3.62/0.92 inference(contradiction_clause,[status(thm)],[f803])).
% 3.62/0.92 fof(f847,plain,(
% 3.62/0.92 spl0_65 <=> equalish(additive_identity,u)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f849,plain,(
% 3.62/0.92 ~equalish(additive_identity,u)|spl0_65),
% 3.62/0.92 inference(component_clause,[status(thm)],[f847])).
% 3.62/0.92 fof(f852,plain,(
% 3.62/0.92 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,u)|spl0_65)),
% 3.62/0.92 inference(resolution,[status(thm)],[f849,f67])).
% 3.62/0.92 fof(f858,plain,(
% 3.62/0.92 ~equalish(a,u)|spl0_65|~spl0_2),
% 3.62/0.92 inference(resolution,[status(thm)],[f852,f100])).
% 3.62/0.92 fof(f864,plain,(
% 3.62/0.92 ~equalish(u,a)|spl0_65|~spl0_2),
% 3.62/0.92 inference(resolution,[status(thm)],[f858,f65])).
% 3.62/0.92 fof(f865,plain,(
% 3.62/0.92 ![X0]: (~equalish(u,X0)|~equalish(X0,a)|spl0_65|~spl0_2)),
% 3.62/0.92 inference(resolution,[status(thm)],[f864,f67])).
% 3.62/0.92 fof(f869,plain,(
% 3.62/0.92 spl0_66 <=> equalish(u,additive_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f871,plain,(
% 3.62/0.92 ~equalish(u,additive_identity)|spl0_66),
% 3.62/0.92 inference(component_clause,[status(thm)],[f869])).
% 3.62/0.92 fof(f872,plain,(
% 3.62/0.92 spl0_67 <=> defined(u)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f874,plain,(
% 3.62/0.92 ~defined(u)|spl0_67),
% 3.62/0.92 inference(component_clause,[status(thm)],[f872])).
% 3.62/0.92 fof(f877,plain,(
% 3.62/0.92 $false|spl0_67),
% 3.62/0.92 inference(forward_subsumption_resolution,[status(thm)],[f874,f76])).
% 3.62/0.92 fof(f878,plain,(
% 3.62/0.92 spl0_67),
% 3.62/0.92 inference(contradiction_clause,[status(thm)],[f877])).
% 3.62/0.92 fof(f892,plain,(
% 3.62/0.92 spl0_68 <=> equalish(u,a)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f893,plain,(
% 3.62/0.92 equalish(u,a)|~spl0_68),
% 3.62/0.92 inference(component_clause,[status(thm)],[f892])).
% 3.62/0.92 fof(f894,plain,(
% 3.62/0.92 ~equalish(u,a)|spl0_68),
% 3.62/0.92 inference(component_clause,[status(thm)],[f892])).
% 3.62/0.92 fof(f895,plain,(
% 3.62/0.92 ~equalish(u,a)|~defined(u)|spl0_65|~spl0_2),
% 3.62/0.92 inference(resolution,[status(thm)],[f865,f64])).
% 3.62/0.92 fof(f896,plain,(
% 3.62/0.92 ~spl0_68|~spl0_67|spl0_65|~spl0_2),
% 3.62/0.92 inference(split_clause,[status(thm)],[f895,f892,f872,f847,f99])).
% 3.62/0.92 fof(f898,plain,(
% 3.62/0.92 ~equalish(a,u)|spl0_68),
% 3.62/0.92 inference(resolution,[status(thm)],[f894,f65])).
% 3.62/0.92 fof(f900,plain,(
% 3.62/0.92 ~equalish(additive_identity,u)|spl0_66),
% 3.62/0.92 inference(resolution,[status(thm)],[f871,f65])).
% 3.62/0.92 fof(f901,plain,(
% 3.62/0.92 ~spl0_65|spl0_66),
% 3.62/0.92 inference(split_clause,[status(thm)],[f900,f847,f869])).
% 3.62/0.92 fof(f965,plain,(
% 3.62/0.92 ![X0]: (~equalish(a,X0)|~equalish(X0,u)|spl0_68)),
% 3.62/0.92 inference(resolution,[status(thm)],[f898,f67])).
% 3.62/0.92 fof(f1073,plain,(
% 3.62/0.92 ~equalish(multiplicative_identity,additive_identity)),
% 3.62/0.92 inference(resolution,[status(thm)],[f74,f65])).
% 3.62/0.92 fof(f1274,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,a)|~equalish(u,X0)|~spl0_31)),
% 3.62/0.92 inference(resolution,[status(thm)],[f325,f73])).
% 3.62/0.92 fof(f1660,plain,(
% 3.62/0.92 ![X0,X1]: (~equalish(X0,u)|~equalish(a,X1)|~equalish(X1,X0)|spl0_68)),
% 3.62/0.92 inference(resolution,[status(thm)],[f965,f67])).
% 3.62/0.92 fof(f1758,plain,(
% 3.62/0.92 spl0_101 <=> less_or_equal(u,u)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f1759,plain,(
% 3.62/0.92 less_or_equal(u,u)|~spl0_101),
% 3.62/0.92 inference(component_clause,[status(thm)],[f1758])).
% 3.62/0.92 fof(f1761,plain,(
% 3.62/0.92 less_or_equal(u,u)|less_or_equal(u,u)),
% 3.62/0.92 inference(resolution,[status(thm)],[f690,f76])).
% 3.62/0.92 fof(f1762,plain,(
% 3.62/0.92 spl0_101),
% 3.62/0.92 inference(split_clause,[status(thm)],[f1761,f1758])).
% 3.62/0.92 fof(f1765,plain,(
% 3.62/0.92 spl0_102 <=> less_or_equal(additive_identity,u)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f1766,plain,(
% 3.62/0.92 less_or_equal(additive_identity,u)|~spl0_102),
% 3.62/0.92 inference(component_clause,[status(thm)],[f1765])).
% 3.62/0.92 fof(f1768,plain,(
% 3.62/0.92 less_or_equal(additive_identity,u)|less_or_equal(u,additive_identity)),
% 3.62/0.92 inference(resolution,[status(thm)],[f690,f49])).
% 3.62/0.92 fof(f1769,plain,(
% 3.62/0.92 spl0_102|spl0_34),
% 3.62/0.92 inference(split_clause,[status(thm)],[f1768,f1765,f361])).
% 3.62/0.92 fof(f1770,plain,(
% 3.62/0.92 $false|~spl0_102),
% 3.62/0.92 inference(forward_subsumption_resolution,[status(thm)],[f1766,f79])).
% 3.62/0.92 fof(f1771,plain,(
% 3.62/0.92 ~spl0_102),
% 3.62/0.92 inference(contradiction_clause,[status(thm)],[f1770])).
% 3.62/0.92 fof(f1782,plain,(
% 3.62/0.92 less_or_equal(a,a)|less_or_equal(a,a)),
% 3.62/0.92 inference(resolution,[status(thm)],[f691,f75])).
% 3.62/0.92 fof(f1783,plain,(
% 3.62/0.92 spl0_27),
% 3.62/0.92 inference(split_clause,[status(thm)],[f1782,f298])).
% 3.62/0.92 fof(f1807,plain,(
% 3.62/0.92 spl0_105 <=> less_or_equal(additive_identity,additive_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f1810,plain,(
% 3.62/0.92 less_or_equal(additive_identity,additive_identity)|less_or_equal(additive_identity,additive_identity)),
% 3.62/0.92 inference(resolution,[status(thm)],[f692,f49])).
% 3.62/0.92 fof(f1811,plain,(
% 3.62/0.92 spl0_105),
% 3.62/0.92 inference(split_clause,[status(thm)],[f1810,f1807])).
% 3.62/0.92 fof(f1819,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,u)|~equalish(u,X0)|~spl0_101)),
% 3.62/0.92 inference(resolution,[status(thm)],[f1759,f73])).
% 3.62/0.92 fof(f1838,plain,(
% 3.62/0.92 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(u,X0)|~spl0_34)),
% 3.62/0.92 inference(resolution,[status(thm)],[f362,f73])).
% 3.62/0.92 fof(f1876,plain,(
% 3.62/0.92 spl0_109 <=> equalish(additive_identity,multiplicative_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f1877,plain,(
% 3.62/0.92 equalish(additive_identity,multiplicative_identity)|~spl0_109),
% 3.62/0.92 inference(component_clause,[status(thm)],[f1876])).
% 3.62/0.92 fof(f1881,plain,(
% 3.62/0.92 $false|~spl0_109),
% 3.62/0.92 inference(forward_subsumption_resolution,[status(thm)],[f1877,f74])).
% 3.62/0.92 fof(f1882,plain,(
% 3.62/0.92 ~spl0_109),
% 3.62/0.92 inference(contradiction_clause,[status(thm)],[f1881])).
% 3.62/0.92 fof(f1941,plain,(
% 3.62/0.92 ~equalish(u,additive_identity)|~spl0_101),
% 3.62/0.92 inference(resolution,[status(thm)],[f1819,f79])).
% 3.62/0.92 fof(f1942,plain,(
% 3.62/0.92 ~spl0_66|~spl0_101),
% 3.62/0.92 inference(split_clause,[status(thm)],[f1941,f869,f1758])).
% 3.62/0.92 fof(f1945,plain,(
% 3.62/0.92 ![X0]: (~equalish(u,X0)|equalish(a,X0)|~less_or_equal(a,X0)|~spl0_31)),
% 3.62/0.92 inference(resolution,[status(thm)],[f1274,f55])).
% 3.62/0.92 fof(f2075,plain,(
% 3.62/0.92 spl0_114 <=> less_or_equal(multiplicative_identity,multiplicative_identity)),
% 3.62/0.92 introduced(split_symbol_definition)).
% 3.62/0.92 fof(f2078,plain,(
% 3.62/0.92 less_or_equal(multiplicative_identity,multiplicative_identity)|less_or_equal(multiplicative_identity,multiplicative_identity)),
% 3.62/0.92 inference(resolution,[status(thm)],[f711,f53])).
% 3.62/0.92 fof(f2079,plain,(
% 3.62/0.92 spl0_114),
% 3.62/0.92 inference(split_clause,[status(thm)],[f2078,f2075])).
% 3.62/0.92 fof(f2160,plain,(
% 3.62/0.92 ![X0]: (~equalish(X0,u)|~equalish(a,X0)|spl0_68|~spl0_3)),
% 3.62/0.92 inference(resolution,[status(thm)],[f1660,f103])).
% 3.62/0.93 fof(f3034,plain,(
% 3.62/0.93 spl0_179 <=> equalish(multiplicative_identity,additive_identity)),
% 3.62/0.93 introduced(split_symbol_definition)).
% 3.62/0.93 fof(f3035,plain,(
% 3.62/0.93 equalish(multiplicative_identity,additive_identity)|~spl0_179),
% 3.62/0.93 inference(component_clause,[status(thm)],[f3034])).
% 3.62/0.93 fof(f3058,plain,(
% 3.62/0.93 $false|~spl0_179),
% 3.62/0.93 inference(forward_subsumption_resolution,[status(thm)],[f3035,f1073])).
% 3.62/0.93 fof(f3059,plain,(
% 3.62/0.93 ~spl0_179),
% 3.62/0.93 inference(contradiction_clause,[status(thm)],[f3058])).
% 3.62/0.93 fof(f3233,plain,(
% 3.62/0.93 ![X0]: (equalish(a,X0)|~less_or_equal(a,X0)|~equalish(X0,u)|~spl0_31)),
% 3.62/0.93 inference(resolution,[status(thm)],[f1945,f65])).
% 3.62/0.93 fof(f3234,plain,(
% 3.62/0.93 ![X0]: (~less_or_equal(a,X0)|~equalish(X0,u)|spl0_68|~spl0_3|~spl0_31)),
% 3.62/0.93 inference(forward_subsumption_resolution,[status(thm)],[f3233,f2160])).
% 3.62/0.93 fof(f3239,plain,(
% 3.62/0.93 ~less_or_equal(a,add(a,a))|spl0_68|~spl0_3|~spl0_31),
% 3.62/0.93 inference(resolution,[status(thm)],[f3234,f78])).
% 3.62/0.93 fof(f3249,plain,(
% 3.62/0.93 spl0_198 <=> ~less_or_equal(X0,a)|~equalish(add(X0,a),a)),
% 3.62/0.93 introduced(split_symbol_definition)).
% 3.62/0.93 fof(f3250,plain,(
% 3.62/0.93 ![X0]: (~less_or_equal(X0,a)|~equalish(add(X0,a),a)|~spl0_198)),
% 3.62/0.93 inference(component_clause,[status(thm)],[f3249])).
% 3.62/0.93 fof(f3252,plain,(
% 3.62/0.93 ![X0]: (~defined(a)|~less_or_equal(X0,a)|~equalish(add(X0,a),a)|spl0_68|~spl0_3|~spl0_31)),
% 3.62/0.93 inference(resolution,[status(thm)],[f3239,f693])).
% 3.62/0.93 fof(f3253,plain,(
% 3.62/0.93 ~spl0_7|spl0_198|spl0_68|~spl0_3|~spl0_31),
% 3.62/0.93 inference(split_clause,[status(thm)],[f3252,f130,f3249,f892,f102,f324])).
% 3.62/0.93 fof(f3271,plain,(
% 3.62/0.93 ~less_or_equal(additive_identity,a)|~spl0_198),
% 3.62/0.93 inference(resolution,[status(thm)],[f3250,f684])).
% 3.62/0.93 fof(f3272,plain,(
% 3.62/0.93 ~spl0_26|~spl0_198),
% 3.62/0.93 inference(split_clause,[status(thm)],[f3271,f295,f3249])).
% 3.62/0.93 fof(f3296,plain,(
% 3.62/0.93 less_or_equal(a,additive_identity)|~spl0_68|~spl0_34),
% 3.62/0.93 inference(resolution,[status(thm)],[f893,f1838])).
% 3.62/0.93 fof(f3297,plain,(
% 3.62/0.93 $false|spl0_1|~spl0_68|~spl0_34),
% 3.62/0.93 inference(forward_subsumption_resolution,[status(thm)],[f3296,f85])).
% 3.62/0.93 fof(f3298,plain,(
% 3.62/0.93 spl0_1|~spl0_68|~spl0_34),
% 3.62/0.93 inference(contradiction_clause,[status(thm)],[f3297])).
% 3.62/0.93 fof(f3299,plain,(
% 3.62/0.93 $false),
% 3.62/0.93 inference(sat_refutation,[status(thm)],[f87,f134,f136,f177,f365,f497,f804,f878,f896,f901,f1762,f1769,f1771,f1783,f1811,f1882,f1942,f2079,f3059,f3253,f3272,f3298])).
% 3.62/0.93 % SZS output end CNFRefutation for theBenchmark.p
% 3.62/0.95 % Elapsed time: 0.599040 seconds
% 3.62/0.95 % CPU time: 3.893462 seconds
% 3.62/0.95 % Memory used: 27.381 MB
%------------------------------------------------------------------------------