TSTP Solution File: FLD070-2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD070-2 : 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 : Wed May 31 12:07:10 EDT 2023
% Result : Unsatisfiable 17.15s 2.58s
% Output : CNFRefutation 17.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : FLD070-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n008.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:02:08 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 17.15/2.58 % Refutation found
% 17.15/2.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.15/2.58 % SZS output start CNFRefutation for theBenchmark
% 17.15/2.58 fof(f2,axiom,(
% 17.15/2.58 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f4,axiom,(
% 17.15/2.58 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f11,axiom,(
% 17.15/2.58 defined(additive_identity) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f16,axiom,(
% 17.15/2.58 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f17,axiom,(
% 17.15/2.58 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f18,axiom,(
% 17.15/2.58 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f19,axiom,(
% 17.15/2.58 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f21,axiom,(
% 17.15/2.58 (![X]: (( equalish(X,X)| ~ defined(X) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f22,axiom,(
% 17.15/2.58 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f23,axiom,(
% 17.15/2.58 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f24,axiom,(
% 17.15/2.58 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f26,axiom,(
% 17.15/2.58 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f28,hypothesis,(
% 17.15/2.58 defined(a) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f29,hypothesis,(
% 17.15/2.58 defined(b) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f30,hypothesis,(
% 17.15/2.58 defined(c) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f31,negated_conjecture,(
% 17.15/2.58 equalish(add(a,b),c) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f32,negated_conjecture,(
% 17.15/2.58 less_or_equal(additive_identity,a) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f33,negated_conjecture,(
% 17.15/2.58 less_or_equal(additive_identity,b) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f34,negated_conjecture,(
% 17.15/2.58 ~ less_or_equal(additive_identity,c) ),
% 17.15/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.15/2.58 fof(f37,plain,(
% 17.15/2.58 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 17.15/2.58 inference(cnf_transformation,[status(esa)],[f2])).
% 17.15/2.58 fof(f39,plain,(
% 17.15/2.58 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 17.15/2.58 inference(miniscoping,[status(esa)],[f4])).
% 17.15/2.58 fof(f40,plain,(
% 17.15/2.58 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 17.15/2.58 inference(cnf_transformation,[status(esa)],[f39])).
% 17.15/2.58 fof(f51,plain,(
% 17.15/2.58 defined(additive_identity)),
% 17.15/2.58 inference(cnf_transformation,[status(esa)],[f11])).
% 17.15/2.58 fof(f57,plain,(
% 17.15/2.58 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 17.15/2.58 inference(cnf_transformation,[status(esa)],[f16])).
% 17.15/2.58 fof(f58,plain,(
% 17.15/2.58 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 17.15/2.58 inference(miniscoping,[status(esa)],[f17])).
% 17.15/2.58 fof(f59,plain,(
% 17.15/2.58 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 17.15/2.58 inference(cnf_transformation,[status(esa)],[f58])).
% 17.15/2.58 fof(f60,plain,(
% 17.15/2.58 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 17.15/2.58 inference(miniscoping,[status(esa)],[f18])).
% 17.15/2.58 fof(f61,plain,(
% 17.15/2.58 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 17.15/2.58 inference(cnf_transformation,[status(esa)],[f60])).
% 17.15/2.58 fof(f62,plain,(
% 17.15/2.58 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 17.15/2.59 inference(miniscoping,[status(esa)],[f19])).
% 17.15/2.59 fof(f63,plain,(
% 17.15/2.59 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f62])).
% 17.15/2.59 fof(f66,plain,(
% 17.15/2.59 ![X0]: (equalish(X0,X0)|~defined(X0))),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f21])).
% 17.15/2.59 fof(f67,plain,(
% 17.15/2.59 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f22])).
% 17.15/2.59 fof(f68,plain,(
% 17.15/2.59 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 17.15/2.59 inference(miniscoping,[status(esa)],[f23])).
% 17.15/2.59 fof(f69,plain,(
% 17.15/2.59 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f68])).
% 17.15/2.59 fof(f70,plain,(
% 17.15/2.59 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 17.15/2.59 inference(miniscoping,[status(esa)],[f24])).
% 17.15/2.59 fof(f71,plain,(
% 17.15/2.59 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f70])).
% 17.15/2.59 fof(f74,plain,(
% 17.15/2.59 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 17.15/2.59 inference(miniscoping,[status(esa)],[f26])).
% 17.15/2.59 fof(f75,plain,(
% 17.15/2.59 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f74])).
% 17.15/2.59 fof(f77,plain,(
% 17.15/2.59 defined(a)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f28])).
% 17.15/2.59 fof(f78,plain,(
% 17.15/2.59 defined(b)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f29])).
% 17.15/2.59 fof(f79,plain,(
% 17.15/2.59 defined(c)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f30])).
% 17.15/2.59 fof(f80,plain,(
% 17.15/2.59 equalish(add(a,b),c)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f31])).
% 17.15/2.59 fof(f81,plain,(
% 17.15/2.59 less_or_equal(additive_identity,a)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f32])).
% 17.15/2.59 fof(f82,plain,(
% 17.15/2.59 less_or_equal(additive_identity,b)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f33])).
% 17.15/2.59 fof(f83,plain,(
% 17.15/2.59 ~less_or_equal(additive_identity,c)),
% 17.15/2.59 inference(cnf_transformation,[status(esa)],[f34])).
% 17.15/2.59 fof(f84,plain,(
% 17.15/2.59 equalish(c,add(a,b))),
% 17.15/2.59 inference(resolution,[status(thm)],[f67,f80])).
% 17.15/2.59 fof(f88,plain,(
% 17.15/2.59 spl0_0 <=> equalish(b,additive_identity)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f89,plain,(
% 17.15/2.59 equalish(b,additive_identity)|~spl0_0),
% 17.15/2.59 inference(component_clause,[status(thm)],[f88])).
% 17.15/2.59 fof(f91,plain,(
% 17.15/2.59 spl0_1 <=> less_or_equal(b,additive_identity)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f93,plain,(
% 17.15/2.59 ~less_or_equal(b,additive_identity)|spl0_1),
% 17.15/2.59 inference(component_clause,[status(thm)],[f91])).
% 17.15/2.59 fof(f94,plain,(
% 17.15/2.59 equalish(b,additive_identity)|~less_or_equal(b,additive_identity)),
% 17.15/2.59 inference(resolution,[status(thm)],[f57,f82])).
% 17.15/2.59 fof(f95,plain,(
% 17.15/2.59 spl0_0|~spl0_1),
% 17.15/2.59 inference(split_clause,[status(thm)],[f94,f88,f91])).
% 17.15/2.59 fof(f105,plain,(
% 17.15/2.59 ![X0]: (less_or_equal(X0,a)|~less_or_equal(X0,additive_identity))),
% 17.15/2.59 inference(resolution,[status(thm)],[f59,f81])).
% 17.15/2.59 fof(f106,plain,(
% 17.15/2.59 ![X0]: (equalish(X0,add(a,b))|~equalish(X0,c))),
% 17.15/2.59 inference(resolution,[status(thm)],[f69,f84])).
% 17.15/2.59 fof(f107,plain,(
% 17.15/2.59 ![X0]: (equalish(X0,c)|~equalish(X0,add(a,b)))),
% 17.15/2.59 inference(resolution,[status(thm)],[f69,f80])).
% 17.15/2.59 fof(f109,plain,(
% 17.15/2.59 ![X0,X1]: (~equalish(X0,c)|equalish(X1,add(a,b))|~equalish(X1,X0))),
% 17.15/2.59 inference(resolution,[status(thm)],[f106,f69])).
% 17.15/2.59 fof(f110,plain,(
% 17.15/2.59 ![X0]: (~equalish(X0,c)|equalish(add(a,b),X0))),
% 17.15/2.59 inference(resolution,[status(thm)],[f106,f67])).
% 17.15/2.59 fof(f111,plain,(
% 17.15/2.59 equalish(c,c)),
% 17.15/2.59 inference(resolution,[status(thm)],[f107,f84])).
% 17.15/2.59 fof(f123,plain,(
% 17.15/2.59 ![X0,X1]: (~equalish(X0,c)|equalish(X1,X0)|~equalish(X1,add(a,b)))),
% 17.15/2.59 inference(resolution,[status(thm)],[f110,f69])).
% 17.15/2.59 fof(f127,plain,(
% 17.15/2.59 ![X0,X1]: (~equalish(X0,c)|~equalish(X1,X0)|equalish(add(a,b),X1))),
% 17.15/2.59 inference(resolution,[status(thm)],[f109,f67])).
% 17.15/2.59 fof(f135,plain,(
% 17.15/2.59 ![X0,X1]: (~equalish(X0,c)|equalish(X1,X0)|~equalish(X1,c))),
% 17.15/2.59 inference(resolution,[status(thm)],[f123,f106])).
% 17.15/2.59 fof(f140,plain,(
% 17.15/2.59 spl0_7 <=> equalish(c,c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f142,plain,(
% 17.15/2.59 ~equalish(c,c)|spl0_7),
% 17.15/2.59 inference(component_clause,[status(thm)],[f140])).
% 17.15/2.59 fof(f148,plain,(
% 17.15/2.59 spl0_9 <=> defined(c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f150,plain,(
% 17.15/2.59 ~defined(c)|spl0_9),
% 17.15/2.59 inference(component_clause,[status(thm)],[f148])).
% 17.15/2.59 fof(f153,plain,(
% 17.15/2.59 $false|spl0_7),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f142,f111])).
% 17.15/2.59 fof(f154,plain,(
% 17.15/2.59 spl0_7),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f153])).
% 17.15/2.59 fof(f167,plain,(
% 17.15/2.59 ![X0,X1,X2]: (~equalish(X0,c)|~equalish(X1,X0)|equalish(X2,X1)|~equalish(X2,add(a,b)))),
% 17.15/2.59 inference(resolution,[status(thm)],[f127,f69])).
% 17.15/2.59 fof(f253,plain,(
% 17.15/2.59 ![X0,X1]: (~equalish(X0,c)|~equalish(X1,X0)|equalish(c,X1))),
% 17.15/2.59 inference(resolution,[status(thm)],[f167,f84])).
% 17.15/2.59 fof(f267,plain,(
% 17.15/2.59 ![X0]: (~equalish(X0,add(a,b))|equalish(c,X0))),
% 17.15/2.59 inference(resolution,[status(thm)],[f253,f80])).
% 17.15/2.59 fof(f344,plain,(
% 17.15/2.59 ![X0]: (less_or_equal(X0,b)|~equalish(additive_identity,X0))),
% 17.15/2.59 inference(resolution,[status(thm)],[f75,f82])).
% 17.15/2.59 fof(f345,plain,(
% 17.15/2.59 ![X0]: (less_or_equal(X0,a)|~equalish(additive_identity,X0))),
% 17.15/2.59 inference(resolution,[status(thm)],[f75,f81])).
% 17.15/2.59 fof(f346,plain,(
% 17.15/2.59 $false|spl0_9),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f79,f150])).
% 17.15/2.59 fof(f347,plain,(
% 17.15/2.59 spl0_9),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f346])).
% 17.15/2.59 fof(f366,plain,(
% 17.15/2.59 spl0_28 <=> equalish(additive_identity,c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f367,plain,(
% 17.15/2.59 equalish(additive_identity,c)|~spl0_28),
% 17.15/2.59 inference(component_clause,[status(thm)],[f366])).
% 17.15/2.59 fof(f371,plain,(
% 17.15/2.59 spl0_29 <=> less_or_equal(additive_identity,b)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f374,plain,(
% 17.15/2.59 spl0_30 <=> defined(additive_identity)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f376,plain,(
% 17.15/2.59 ~defined(additive_identity)|spl0_30),
% 17.15/2.59 inference(component_clause,[status(thm)],[f374])).
% 17.15/2.59 fof(f377,plain,(
% 17.15/2.59 less_or_equal(additive_identity,b)|~defined(additive_identity)),
% 17.15/2.59 inference(resolution,[status(thm)],[f344,f66])).
% 17.15/2.59 fof(f378,plain,(
% 17.15/2.59 spl0_29|~spl0_30),
% 17.15/2.59 inference(split_clause,[status(thm)],[f377,f371,f374])).
% 17.15/2.59 fof(f379,plain,(
% 17.15/2.59 $false|spl0_30),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f376,f51])).
% 17.15/2.59 fof(f380,plain,(
% 17.15/2.59 spl0_30),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f379])).
% 17.15/2.59 fof(f392,plain,(
% 17.15/2.59 spl0_32 <=> less_or_equal(additive_identity,a)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f395,plain,(
% 17.15/2.59 less_or_equal(additive_identity,a)|~defined(additive_identity)),
% 17.15/2.59 inference(resolution,[status(thm)],[f345,f66])).
% 17.15/2.59 fof(f396,plain,(
% 17.15/2.59 spl0_32|~spl0_30),
% 17.15/2.59 inference(split_clause,[status(thm)],[f395,f392,f374])).
% 17.15/2.59 fof(f399,plain,(
% 17.15/2.59 spl0_33 <=> equalish(b,add(a,b))),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f400,plain,(
% 17.15/2.59 equalish(b,add(a,b))|~spl0_33),
% 17.15/2.59 inference(component_clause,[status(thm)],[f399])).
% 17.15/2.59 fof(f401,plain,(
% 17.15/2.59 ~equalish(b,add(a,b))|spl0_33),
% 17.15/2.59 inference(component_clause,[status(thm)],[f399])).
% 17.15/2.59 fof(f409,plain,(
% 17.15/2.59 spl0_35 <=> equalish(a,add(a,b))),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f410,plain,(
% 17.15/2.59 equalish(a,add(a,b))|~spl0_35),
% 17.15/2.59 inference(component_clause,[status(thm)],[f409])).
% 17.15/2.59 fof(f483,plain,(
% 17.15/2.59 ![X0]: (~defined(X0)|equalish(X0,add(additive_identity,X0)))),
% 17.15/2.59 inference(resolution,[status(thm)],[f37,f67])).
% 17.15/2.59 fof(f516,plain,(
% 17.15/2.59 spl0_56 <=> defined(a)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f518,plain,(
% 17.15/2.59 ~defined(a)|spl0_56),
% 17.15/2.59 inference(component_clause,[status(thm)],[f516])).
% 17.15/2.59 fof(f519,plain,(
% 17.15/2.59 spl0_57 <=> defined(b)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f521,plain,(
% 17.15/2.59 ~defined(b)|spl0_57),
% 17.15/2.59 inference(component_clause,[status(thm)],[f519])).
% 17.15/2.59 fof(f524,plain,(
% 17.15/2.59 $false|spl0_56),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f518,f77])).
% 17.15/2.59 fof(f525,plain,(
% 17.15/2.59 spl0_56),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f524])).
% 17.15/2.59 fof(f526,plain,(
% 17.15/2.59 $false|spl0_57),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f521,f78])).
% 17.15/2.59 fof(f527,plain,(
% 17.15/2.59 spl0_57),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f526])).
% 17.15/2.59 fof(f543,plain,(
% 17.15/2.59 spl0_59 <=> less_or_equal(c,additive_identity)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f544,plain,(
% 17.15/2.59 less_or_equal(c,additive_identity)|~spl0_59),
% 17.15/2.59 inference(component_clause,[status(thm)],[f543])).
% 17.15/2.59 fof(f546,plain,(
% 17.15/2.59 less_or_equal(c,additive_identity)|~defined(c)|~defined(additive_identity)),
% 17.15/2.59 inference(resolution,[status(thm)],[f61,f83])).
% 17.15/2.59 fof(f547,plain,(
% 17.15/2.59 spl0_59|~spl0_9|~spl0_30),
% 17.15/2.59 inference(split_clause,[status(thm)],[f546,f543,f148,f374])).
% 17.15/2.59 fof(f559,plain,(
% 17.15/2.59 ![X0,X1,X2]: (less_or_equal(X0,X1)|~defined(X0)|~defined(X1)|less_or_equal(X2,X0)|~less_or_equal(X2,X1))),
% 17.15/2.59 inference(resolution,[status(thm)],[f61,f59])).
% 17.15/2.59 fof(f560,plain,(
% 17.15/2.59 less_or_equal(c,a)|~spl0_59),
% 17.15/2.59 inference(resolution,[status(thm)],[f544,f105])).
% 17.15/2.59 fof(f562,plain,(
% 17.15/2.59 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(c,X0)|~spl0_59)),
% 17.15/2.59 inference(resolution,[status(thm)],[f544,f75])).
% 17.15/2.59 fof(f564,plain,(
% 17.15/2.59 spl0_62 <=> less_or_equal(additive_identity,c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f565,plain,(
% 17.15/2.59 less_or_equal(additive_identity,c)|~spl0_62),
% 17.15/2.59 inference(component_clause,[status(thm)],[f564])).
% 17.15/2.59 fof(f569,plain,(
% 17.15/2.59 ![X0]: (less_or_equal(X0,a)|~equalish(c,X0)|~spl0_59)),
% 17.15/2.59 inference(resolution,[status(thm)],[f560,f75])).
% 17.15/2.59 fof(f571,plain,(
% 17.15/2.59 spl0_63 <=> equalish(a,c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f572,plain,(
% 17.15/2.59 equalish(a,c)|~spl0_63),
% 17.15/2.59 inference(component_clause,[status(thm)],[f571])).
% 17.15/2.59 fof(f586,plain,(
% 17.15/2.59 spl0_66 <=> equalish(b,c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f587,plain,(
% 17.15/2.59 equalish(b,c)|~spl0_66),
% 17.15/2.59 inference(component_clause,[status(thm)],[f586])).
% 17.15/2.59 fof(f605,plain,(
% 17.15/2.59 ![X0]: (~equalish(X0,c)|equalish(additive_identity,X0)|~spl0_28)),
% 17.15/2.59 inference(resolution,[status(thm)],[f367,f135])).
% 17.15/2.59 fof(f616,plain,(
% 17.15/2.59 equalish(c,a)|~spl0_63),
% 17.15/2.59 inference(resolution,[status(thm)],[f572,f67])).
% 17.15/2.59 fof(f625,plain,(
% 17.15/2.59 equalish(c,b)|~spl0_66),
% 17.15/2.59 inference(resolution,[status(thm)],[f587,f67])).
% 17.15/2.59 fof(f648,plain,(
% 17.15/2.59 less_or_equal(b,additive_identity)|~spl0_59|~spl0_66),
% 17.15/2.59 inference(resolution,[status(thm)],[f562,f625])).
% 17.15/2.59 fof(f649,plain,(
% 17.15/2.59 $false|spl0_1|~spl0_59|~spl0_66),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f648,f93])).
% 17.15/2.59 fof(f650,plain,(
% 17.15/2.59 spl0_1|~spl0_59|~spl0_66),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f649])).
% 17.15/2.59 fof(f651,plain,(
% 17.15/2.59 less_or_equal(a,additive_identity)|~spl0_59|~spl0_63),
% 17.15/2.59 inference(resolution,[status(thm)],[f562,f616])).
% 17.15/2.59 fof(f686,plain,(
% 17.15/2.59 spl0_74 <=> equalish(c,add(b,a))),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f687,plain,(
% 17.15/2.59 equalish(c,add(b,a))|~spl0_74),
% 17.15/2.59 inference(component_clause,[status(thm)],[f686])).
% 17.15/2.59 fof(f689,plain,(
% 17.15/2.59 ~defined(b)|~defined(a)|equalish(c,add(b,a))),
% 17.15/2.59 inference(resolution,[status(thm)],[f40,f267])).
% 17.15/2.59 fof(f690,plain,(
% 17.15/2.59 ~spl0_57|~spl0_56|spl0_74),
% 17.15/2.59 inference(split_clause,[status(thm)],[f689,f519,f516,f686])).
% 17.15/2.59 fof(f711,plain,(
% 17.15/2.59 ![X0,X1,X2]: (~defined(X0)|~defined(X1)|equalish(X2,add(X1,X0))|~equalish(X2,add(X0,X1)))),
% 17.15/2.59 inference(resolution,[status(thm)],[f40,f69])).
% 17.15/2.59 fof(f713,plain,(
% 17.15/2.59 ![X0,X1,X2,X3]: (~defined(X0)|~less_or_equal(X1,X2)|less_or_equal(X3,add(X2,X0))|~equalish(add(X1,X0),X3))),
% 17.15/2.59 inference(resolution,[status(thm)],[f63,f75])).
% 17.15/2.59 fof(f744,plain,(
% 17.15/2.59 spl0_84 <=> ~equalish(X0,a)|equalish(add(X0,b),c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f745,plain,(
% 17.15/2.59 ![X0]: (~equalish(X0,a)|equalish(add(X0,b),c)|~spl0_84)),
% 17.15/2.59 inference(component_clause,[status(thm)],[f744])).
% 17.15/2.59 fof(f747,plain,(
% 17.15/2.59 ![X0]: (~defined(b)|~equalish(X0,a)|equalish(add(X0,b),c))),
% 17.15/2.59 inference(resolution,[status(thm)],[f71,f107])).
% 17.15/2.59 fof(f748,plain,(
% 17.15/2.59 ~spl0_57|spl0_84),
% 17.15/2.59 inference(split_clause,[status(thm)],[f747,f519,f744])).
% 17.15/2.59 fof(f887,plain,(
% 17.15/2.59 ![X0]: (equalish(X0,additive_identity)|~equalish(X0,b)|~spl0_0)),
% 17.15/2.59 inference(resolution,[status(thm)],[f89,f69])).
% 17.15/2.59 fof(f898,plain,(
% 17.15/2.59 equalish(b,c)|~spl0_33),
% 17.15/2.59 inference(resolution,[status(thm)],[f400,f107])).
% 17.15/2.59 fof(f899,plain,(
% 17.15/2.59 spl0_66|~spl0_33),
% 17.15/2.59 inference(split_clause,[status(thm)],[f898,f586,f399])).
% 17.15/2.59 fof(f909,plain,(
% 17.15/2.59 spl0_104 <=> equalish(additive_identity,a)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f910,plain,(
% 17.15/2.59 equalish(additive_identity,a)|~spl0_104),
% 17.15/2.59 inference(component_clause,[status(thm)],[f909])).
% 17.15/2.59 fof(f912,plain,(
% 17.15/2.59 equalish(additive_identity,a)|~less_or_equal(additive_identity,a)|~spl0_59|~spl0_63),
% 17.15/2.59 inference(resolution,[status(thm)],[f651,f57])).
% 17.15/2.59 fof(f913,plain,(
% 17.15/2.59 spl0_104|~spl0_32|~spl0_59|~spl0_63),
% 17.15/2.59 inference(split_clause,[status(thm)],[f912,f909,f392,f543,f571])).
% 17.15/2.59 fof(f914,plain,(
% 17.15/2.59 equalish(a,c)|~spl0_35),
% 17.15/2.59 inference(resolution,[status(thm)],[f410,f107])).
% 17.15/2.59 fof(f915,plain,(
% 17.15/2.59 spl0_63|~spl0_35),
% 17.15/2.59 inference(split_clause,[status(thm)],[f914,f571,f409])).
% 17.15/2.59 fof(f1231,plain,(
% 17.15/2.59 ![X0,X1,X2]: (less_or_equal(X0,X1)|~defined(X0)|~defined(X1)|less_or_equal(X2,X0)|less_or_equal(X1,X2)|~defined(X1)|~defined(X2))),
% 17.15/2.59 inference(resolution,[status(thm)],[f559,f61])).
% 17.15/2.59 fof(f1232,plain,(
% 17.15/2.59 ![X0,X1,X2]: (less_or_equal(X0,X1)|~defined(X0)|~defined(X1)|less_or_equal(X2,X0)|less_or_equal(X1,X2)|~defined(X2))),
% 17.15/2.59 inference(duplicate_literals_removal,[status(esa)],[f1231])).
% 17.15/2.59 fof(f1284,plain,(
% 17.15/2.59 ![X0,X1]: (~defined(X0)|~less_or_equal(additive_identity,X1)|less_or_equal(X0,add(X1,X0))|~defined(X0))),
% 17.15/2.59 inference(resolution,[status(thm)],[f713,f37])).
% 17.15/2.59 fof(f1285,plain,(
% 17.15/2.59 ![X0,X1]: (~defined(X0)|~less_or_equal(additive_identity,X1)|less_or_equal(X0,add(X1,X0)))),
% 17.15/2.59 inference(duplicate_literals_removal,[status(esa)],[f1284])).
% 17.15/2.59 fof(f1435,plain,(
% 17.15/2.59 spl0_149 <=> equalish(additive_identity,add(a,b))),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f1436,plain,(
% 17.15/2.59 equalish(additive_identity,add(a,b))|~spl0_149),
% 17.15/2.59 inference(component_clause,[status(thm)],[f1435])).
% 17.15/2.59 fof(f1517,plain,(
% 17.15/2.59 less_or_equal(add(b,a),a)|~spl0_74|~spl0_59),
% 17.15/2.59 inference(resolution,[status(thm)],[f687,f569])).
% 17.15/2.59 fof(f1564,plain,(
% 17.15/2.59 ![X0]: (~equalish(X0,c)|~equalish(b,X0)|spl0_33)),
% 17.15/2.59 inference(resolution,[status(thm)],[f401,f109])).
% 17.15/2.59 fof(f1814,plain,(
% 17.15/2.59 spl0_186 <=> equalish(a,add(b,a))),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f1815,plain,(
% 17.15/2.59 equalish(a,add(b,a))|~spl0_186),
% 17.15/2.59 inference(component_clause,[status(thm)],[f1814])).
% 17.15/2.59 fof(f1817,plain,(
% 17.15/2.59 spl0_187 <=> less_or_equal(a,add(b,a))),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f1819,plain,(
% 17.15/2.59 ~less_or_equal(a,add(b,a))|spl0_187),
% 17.15/2.59 inference(component_clause,[status(thm)],[f1817])).
% 17.15/2.59 fof(f1820,plain,(
% 17.15/2.59 equalish(a,add(b,a))|~less_or_equal(a,add(b,a))|~spl0_74|~spl0_59),
% 17.15/2.59 inference(resolution,[status(thm)],[f1517,f57])).
% 17.15/2.59 fof(f1821,plain,(
% 17.15/2.59 spl0_186|~spl0_187|~spl0_74|~spl0_59),
% 17.15/2.59 inference(split_clause,[status(thm)],[f1820,f1814,f1817,f686,f543])).
% 17.15/2.59 fof(f1864,plain,(
% 17.15/2.59 spl0_194 <=> equalish(add(additive_identity,b),c)),
% 17.15/2.59 introduced(split_symbol_definition)).
% 17.15/2.59 fof(f1866,plain,(
% 17.15/2.59 ~equalish(add(additive_identity,b),c)|spl0_194),
% 17.15/2.59 inference(component_clause,[status(thm)],[f1864])).
% 17.15/2.59 fof(f1867,plain,(
% 17.15/2.59 ~equalish(add(additive_identity,b),c)|~defined(b)|spl0_33),
% 17.15/2.59 inference(resolution,[status(thm)],[f1564,f483])).
% 17.15/2.59 fof(f1868,plain,(
% 17.15/2.59 ~spl0_194|~spl0_57|spl0_33),
% 17.15/2.59 inference(split_clause,[status(thm)],[f1867,f1864,f519,f399])).
% 17.15/2.59 fof(f2269,plain,(
% 17.15/2.59 ~equalish(additive_identity,a)|spl0_194|~spl0_84),
% 17.15/2.59 inference(resolution,[status(thm)],[f1866,f745])).
% 17.15/2.59 fof(f2357,plain,(
% 17.15/2.59 ~defined(b)|~defined(a)|equalish(a,add(a,b))|~spl0_186),
% 17.15/2.59 inference(resolution,[status(thm)],[f1815,f711])).
% 17.15/2.59 fof(f2358,plain,(
% 17.15/2.59 ~spl0_57|~spl0_56|spl0_35|~spl0_186),
% 17.15/2.59 inference(split_clause,[status(thm)],[f2357,f519,f516,f409,f1814])).
% 17.15/2.59 fof(f2363,plain,(
% 17.15/2.59 $false|spl0_194|~spl0_84|~spl0_104),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f910,f2269])).
% 17.15/2.59 fof(f2364,plain,(
% 17.15/2.59 spl0_194|~spl0_84|~spl0_104),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f2363])).
% 17.15/2.59 fof(f2724,plain,(
% 17.15/2.59 equalish(c,additive_identity)|~spl0_0|~spl0_66),
% 17.15/2.59 inference(resolution,[status(thm)],[f887,f625])).
% 17.15/2.59 fof(f2747,plain,(
% 17.15/2.59 equalish(additive_identity,c)|~spl0_0|~spl0_66),
% 17.15/2.59 inference(resolution,[status(thm)],[f2724,f67])).
% 17.15/2.59 fof(f2748,plain,(
% 17.15/2.59 spl0_28|~spl0_0|~spl0_66),
% 17.15/2.59 inference(split_clause,[status(thm)],[f2747,f366,f88,f586])).
% 17.15/2.59 fof(f3717,plain,(
% 17.15/2.59 equalish(additive_identity,add(a,b))|~equalish(c,c)|~spl0_28),
% 17.15/2.59 inference(resolution,[status(thm)],[f605,f110])).
% 17.15/2.59 fof(f3718,plain,(
% 17.15/2.59 spl0_149|~spl0_7|~spl0_28),
% 17.15/2.59 inference(split_clause,[status(thm)],[f3717,f1435,f140,f366])).
% 17.15/2.59 fof(f5982,plain,(
% 17.15/2.59 ![X0,X1]: (less_or_equal(X0,X0)|~defined(X0)|~defined(X0)|~defined(X0)|less_or_equal(X1,X0)|~equalish(X0,X1))),
% 17.15/2.59 inference(resolution,[status(thm)],[f1232,f75])).
% 17.15/2.59 fof(f5983,plain,(
% 17.15/2.59 ![X0,X1]: (less_or_equal(X0,X0)|~defined(X0)|less_or_equal(X1,X0)|~equalish(X0,X1))),
% 17.15/2.59 inference(duplicate_literals_removal,[status(esa)],[f5982])).
% 17.15/2.59 fof(f5984,plain,(
% 17.15/2.59 ![X0,X1]: (~defined(X0)|less_or_equal(X1,X0)|~equalish(X0,X1))),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f5983,f75])).
% 17.15/2.59 fof(f6307,plain,(
% 17.15/2.59 equalish(c,additive_identity)|~spl0_149),
% 17.15/2.59 inference(resolution,[status(thm)],[f1436,f267])).
% 17.15/2.59 fof(f7115,plain,(
% 17.15/2.59 ~defined(c)|less_or_equal(additive_identity,c)|~spl0_149),
% 17.15/2.59 inference(resolution,[status(thm)],[f5984,f6307])).
% 17.15/2.59 fof(f7116,plain,(
% 17.15/2.59 ~spl0_9|spl0_62|~spl0_149),
% 17.15/2.59 inference(split_clause,[status(thm)],[f7115,f148,f564,f1435])).
% 17.15/2.59 fof(f7202,plain,(
% 17.15/2.59 $false|~spl0_62),
% 17.15/2.59 inference(forward_subsumption_resolution,[status(thm)],[f565,f83])).
% 17.15/2.59 fof(f7203,plain,(
% 17.15/2.59 ~spl0_62),
% 17.15/2.59 inference(contradiction_clause,[status(thm)],[f7202])).
% 17.15/2.59 fof(f7607,plain,(
% 17.15/2.59 ~defined(a)|~less_or_equal(additive_identity,b)|spl0_187),
% 17.15/2.59 inference(resolution,[status(thm)],[f1285,f1819])).
% 17.15/2.59 fof(f7608,plain,(
% 17.15/2.59 ~spl0_56|~spl0_29|spl0_187),
% 17.15/2.59 inference(split_clause,[status(thm)],[f7607,f516,f371,f1817])).
% 17.15/2.59 fof(f7619,plain,(
% 17.15/2.59 $false),
% 17.15/2.59 inference(sat_refutation,[status(thm)],[f95,f154,f347,f378,f380,f396,f525,f527,f547,f650,f690,f748,f899,f913,f915,f1821,f1868,f2358,f2364,f2748,f3718,f7116,f7203,f7608])).
% 17.15/2.59 % SZS output end CNFRefutation for theBenchmark.p
% 17.54/2.62 % Elapsed time: 2.292684 seconds
% 17.54/2.62 % CPU time: 17.631186 seconds
% 17.54/2.62 % Memory used: 64.616 MB
%------------------------------------------------------------------------------