TSTP Solution File: FLD065-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD065-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:16:34 EDT 2024
% Result : Unsatisfiable 53.89s 7.19s
% Output : CNFRefutation 54.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : FLD065-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:09:20 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 53.89/7.19 % Refutation found
% 53.89/7.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 53.89/7.19 % SZS output start CNFRefutation for theBenchmark
% 53.89/7.19 fof(f2,axiom,(
% 53.89/7.19 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f3,axiom,(
% 53.89/7.19 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f4,axiom,(
% 53.89/7.19 (![X,Y]: (( equalish(add(X,Y),add(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f10,axiom,(
% 53.89/7.19 (![X,Y]: (( defined(add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f11,axiom,(
% 53.89/7.19 defined(additive_identity) ),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f12,axiom,(
% 53.89/7.19 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f16,axiom,(
% 53.89/7.19 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f17,axiom,(
% 53.89/7.19 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f18,axiom,(
% 53.89/7.19 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f19,axiom,(
% 53.89/7.19 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f22,axiom,(
% 53.89/7.19 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f23,axiom,(
% 53.89/7.19 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f26,axiom,(
% 53.89/7.19 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f28,hypothesis,(
% 53.89/7.19 defined(a) ),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f29,negated_conjecture,(
% 53.89/7.19 less_or_equal(additive_inverse(a),additive_identity) ),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f30,negated_conjecture,(
% 53.89/7.19 ~ less_or_equal(additive_identity,a) ),
% 53.89/7.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 53.89/7.19 fof(f33,plain,(
% 53.89/7.19 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f2])).
% 53.89/7.19 fof(f34,plain,(
% 53.89/7.19 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f3])).
% 53.89/7.19 fof(f35,plain,(
% 53.89/7.19 ![Y]: ((![X]: (equalish(add(X,Y),add(Y,X))|~defined(X)))|~defined(Y))),
% 53.89/7.19 inference(miniscoping,[status(esa)],[f4])).
% 53.89/7.19 fof(f36,plain,(
% 53.89/7.19 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0))|~defined(X0)|~defined(X1))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f35])).
% 53.89/7.19 fof(f45,plain,(
% 53.89/7.19 ![Y]: ((![X]: (defined(add(X,Y))|~defined(X)))|~defined(Y))),
% 53.89/7.19 inference(miniscoping,[status(esa)],[f10])).
% 53.89/7.19 fof(f46,plain,(
% 53.89/7.19 ![X0,X1]: (defined(add(X0,X1))|~defined(X0)|~defined(X1))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f45])).
% 53.89/7.19 fof(f47,plain,(
% 53.89/7.19 defined(additive_identity)),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f11])).
% 53.89/7.19 fof(f48,plain,(
% 53.89/7.19 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f12])).
% 53.89/7.19 fof(f53,plain,(
% 53.89/7.19 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f16])).
% 53.89/7.19 fof(f54,plain,(
% 53.89/7.19 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 53.89/7.19 inference(miniscoping,[status(esa)],[f17])).
% 53.89/7.19 fof(f55,plain,(
% 53.89/7.19 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 53.89/7.19 inference(cnf_transformation,[status(esa)],[f54])).
% 53.89/7.19 fof(f56,plain,(
% 53.89/7.19 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 53.89/7.19 inference(miniscoping,[status(esa)],[f18])).
% 54.61/7.21 fof(f57,plain,(
% 54.61/7.21 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f56])).
% 54.61/7.21 fof(f58,plain,(
% 54.61/7.21 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 54.61/7.21 inference(miniscoping,[status(esa)],[f19])).
% 54.61/7.21 fof(f59,plain,(
% 54.61/7.21 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f58])).
% 54.61/7.21 fof(f63,plain,(
% 54.61/7.21 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f22])).
% 54.61/7.21 fof(f64,plain,(
% 54.61/7.21 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 54.61/7.21 inference(miniscoping,[status(esa)],[f23])).
% 54.61/7.21 fof(f65,plain,(
% 54.61/7.21 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f64])).
% 54.61/7.21 fof(f70,plain,(
% 54.61/7.21 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 54.61/7.21 inference(miniscoping,[status(esa)],[f26])).
% 54.61/7.21 fof(f71,plain,(
% 54.61/7.21 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f70])).
% 54.61/7.21 fof(f73,plain,(
% 54.61/7.21 defined(a)),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f28])).
% 54.61/7.21 fof(f74,plain,(
% 54.61/7.21 less_or_equal(additive_inverse(a),additive_identity)),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f29])).
% 54.61/7.21 fof(f75,plain,(
% 54.61/7.21 ~less_or_equal(additive_identity,a)),
% 54.61/7.21 inference(cnf_transformation,[status(esa)],[f30])).
% 54.61/7.21 fof(f80,plain,(
% 54.61/7.21 ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 54.61/7.21 inference(resolution,[status(thm)],[f57,f73])).
% 54.61/7.21 fof(f84,plain,(
% 54.61/7.21 spl0_0 <=> less_or_equal(a,a)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f85,plain,(
% 54.61/7.21 less_or_equal(a,a)|~spl0_0),
% 54.61/7.21 inference(component_clause,[status(thm)],[f84])).
% 54.61/7.21 fof(f87,plain,(
% 54.61/7.21 less_or_equal(a,a)|less_or_equal(a,a)),
% 54.61/7.21 inference(resolution,[status(thm)],[f80,f73])).
% 54.61/7.21 fof(f88,plain,(
% 54.61/7.21 spl0_0),
% 54.61/7.21 inference(split_clause,[status(thm)],[f87,f84])).
% 54.61/7.21 fof(f89,plain,(
% 54.61/7.21 spl0_1 <=> less_or_equal(additive_identity,a)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f90,plain,(
% 54.61/7.21 less_or_equal(additive_identity,a)|~spl0_1),
% 54.61/7.21 inference(component_clause,[status(thm)],[f89])).
% 54.61/7.21 fof(f92,plain,(
% 54.61/7.21 spl0_2 <=> less_or_equal(a,additive_identity)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f93,plain,(
% 54.61/7.21 less_or_equal(a,additive_identity)|~spl0_2),
% 54.61/7.21 inference(component_clause,[status(thm)],[f92])).
% 54.61/7.21 fof(f95,plain,(
% 54.61/7.21 less_or_equal(additive_identity,a)|less_or_equal(a,additive_identity)),
% 54.61/7.21 inference(resolution,[status(thm)],[f80,f47])).
% 54.61/7.21 fof(f96,plain,(
% 54.61/7.21 spl0_1|spl0_2),
% 54.61/7.21 inference(split_clause,[status(thm)],[f95,f89,f92])).
% 54.61/7.21 fof(f97,plain,(
% 54.61/7.21 $false|~spl0_1),
% 54.61/7.21 inference(forward_subsumption_resolution,[status(thm)],[f90,f75])).
% 54.61/7.21 fof(f98,plain,(
% 54.61/7.21 ~spl0_1),
% 54.61/7.21 inference(contradiction_clause,[status(thm)],[f97])).
% 54.61/7.21 fof(f186,plain,(
% 54.61/7.21 ![X0,X1,X2]: (~defined(X0)|~defined(X1)|less_or_equal(X2,add(X0,X1))|less_or_equal(add(X0,X1),X2)|~defined(X2))),
% 54.61/7.21 inference(resolution,[status(thm)],[f46,f57])).
% 54.61/7.21 fof(f261,plain,(
% 54.61/7.21 ![X0]: (less_or_equal(X0,a)|~equalish(a,X0)|~spl0_0)),
% 54.61/7.21 inference(resolution,[status(thm)],[f85,f71])).
% 54.61/7.21 fof(f264,plain,(
% 54.61/7.21 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(a,X0)|~spl0_2)),
% 54.61/7.21 inference(resolution,[status(thm)],[f93,f71])).
% 54.61/7.21 fof(f266,plain,(
% 54.61/7.21 ![X0]: (less_or_equal(a,X0)|~less_or_equal(additive_identity,X0)|~spl0_2)),
% 54.61/7.21 inference(resolution,[status(thm)],[f93,f55])).
% 54.61/7.21 fof(f338,plain,(
% 54.61/7.21 ![X0]: (less_or_equal(X0,a)|~equalish(X0,a)|~spl0_0)),
% 54.61/7.21 inference(resolution,[status(thm)],[f261,f63])).
% 54.61/7.21 fof(f339,plain,(
% 54.61/7.21 spl0_34 <=> defined(a)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f341,plain,(
% 54.61/7.21 ~defined(a)|spl0_34),
% 54.61/7.21 inference(component_clause,[status(thm)],[f339])).
% 54.61/7.21 fof(f345,plain,(
% 54.61/7.21 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(X0,a)|~spl0_2)),
% 54.61/7.21 inference(resolution,[status(thm)],[f264,f63])).
% 54.61/7.21 fof(f616,plain,(
% 54.61/7.21 ![X0,X1,X2,X3]: (~defined(X0)|~defined(X1)|less_or_equal(add(X2,X3),add(X0,X1))|less_or_equal(add(X0,X1),add(X2,X3))|~defined(X2)|~defined(X3))),
% 54.61/7.21 inference(resolution,[status(thm)],[f186,f46])).
% 54.61/7.21 fof(f723,plain,(
% 54.61/7.21 ![X0,X1,X2,X3]: (~defined(X0)|~less_or_equal(X1,X2)|less_or_equal(X3,add(X2,X0))|~less_or_equal(X3,add(X1,X0)))),
% 54.61/7.21 inference(resolution,[status(thm)],[f59,f55])).
% 54.61/7.21 fof(f923,plain,(
% 54.61/7.21 $false|spl0_34),
% 54.61/7.21 inference(forward_subsumption_resolution,[status(thm)],[f341,f73])).
% 54.61/7.21 fof(f924,plain,(
% 54.61/7.21 spl0_34),
% 54.61/7.21 inference(contradiction_clause,[status(thm)],[f923])).
% 54.61/7.21 fof(f927,plain,(
% 54.61/7.21 spl0_91 <=> equalish(a,additive_identity)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f928,plain,(
% 54.61/7.21 equalish(a,additive_identity)|~spl0_91),
% 54.61/7.21 inference(component_clause,[status(thm)],[f927])).
% 54.61/7.21 fof(f929,plain,(
% 54.61/7.21 ~equalish(a,additive_identity)|spl0_91),
% 54.61/7.21 inference(component_clause,[status(thm)],[f927])).
% 54.61/7.21 fof(f939,plain,(
% 54.61/7.21 ~equalish(additive_identity,a)|spl0_91),
% 54.61/7.21 inference(resolution,[status(thm)],[f929,f63])).
% 54.61/7.21 fof(f987,plain,(
% 54.61/7.21 spl0_93 <=> less_or_equal(add(additive_identity,a),a)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f988,plain,(
% 54.61/7.21 less_or_equal(add(additive_identity,a),a)|~spl0_93),
% 54.61/7.21 inference(component_clause,[status(thm)],[f987])).
% 54.61/7.21 fof(f990,plain,(
% 54.61/7.21 less_or_equal(add(additive_identity,a),a)|~defined(a)|~spl0_0),
% 54.61/7.21 inference(resolution,[status(thm)],[f338,f33])).
% 54.61/7.21 fof(f991,plain,(
% 54.61/7.21 spl0_93|~spl0_34|~spl0_0),
% 54.61/7.21 inference(split_clause,[status(thm)],[f990,f987,f339,f84])).
% 54.61/7.21 fof(f1275,plain,(
% 54.61/7.21 ![X0,X1,X2]: (~less_or_equal(X0,X1)|less_or_equal(X2,add(X1,a))|~less_or_equal(X2,add(X0,a)))),
% 54.61/7.21 inference(resolution,[status(thm)],[f723,f73])).
% 54.61/7.21 fof(f3712,plain,(
% 54.61/7.21 ![X0,X1]: (~defined(X0)|~defined(X1)|less_or_equal(add(X0,X1),add(X0,X1))|~defined(X0)|~defined(X1)|less_or_equal(add(X0,X1),add(X0,X1)))),
% 54.61/7.21 inference(resolution,[status(thm)],[f616,f55])).
% 54.61/7.21 fof(f3713,plain,(
% 54.61/7.21 ![X0,X1]: (~defined(X0)|~defined(X1)|less_or_equal(add(X0,X1),add(X0,X1)))),
% 54.61/7.21 inference(duplicate_literals_removal,[status(esa)],[f3712])).
% 54.61/7.21 fof(f4435,plain,(
% 54.61/7.21 ![X0,X1,X2]: (~defined(X0)|~defined(X1)|less_or_equal(X2,add(X0,X1))|~equalish(add(X0,X1),X2))),
% 54.61/7.21 inference(resolution,[status(thm)],[f3713,f71])).
% 54.61/7.21 fof(f4917,plain,(
% 54.61/7.21 ![X0,X1]: (~defined(X0)|~defined(X1)|less_or_equal(add(X1,X0),add(X0,X1))|~defined(X0)|~defined(X1))),
% 54.61/7.21 inference(resolution,[status(thm)],[f4435,f36])).
% 54.61/7.21 fof(f4918,plain,(
% 54.61/7.21 ![X0,X1]: (~defined(X0)|~defined(X1)|less_or_equal(add(X1,X0),add(X0,X1)))),
% 54.61/7.21 inference(duplicate_literals_removal,[status(esa)],[f4917])).
% 54.61/7.21 fof(f5111,plain,(
% 54.61/7.21 ![X0,X1,X2]: (~defined(X0)|~defined(X1)|less_or_equal(X2,add(X0,X1))|~equalish(add(X1,X0),X2))),
% 54.61/7.21 inference(resolution,[status(thm)],[f4918,f71])).
% 54.61/7.21 fof(f7973,plain,(
% 54.61/7.21 ![X0]: (~defined(additive_inverse(X0))|~defined(X0)|less_or_equal(additive_identity,add(additive_inverse(X0),X0))|~defined(X0))),
% 54.61/7.21 inference(resolution,[status(thm)],[f5111,f34])).
% 54.61/7.21 fof(f7974,plain,(
% 54.61/7.21 ![X0]: (~defined(additive_inverse(X0))|~defined(X0)|less_or_equal(additive_identity,add(additive_inverse(X0),X0)))),
% 54.61/7.21 inference(duplicate_literals_removal,[status(esa)],[f7973])).
% 54.61/7.21 fof(f7975,plain,(
% 54.61/7.21 ![X0]: (~defined(X0)|less_or_equal(additive_identity,add(additive_inverse(X0),X0)))),
% 54.61/7.21 inference(forward_subsumption_resolution,[status(thm)],[f7974,f48])).
% 54.61/7.21 fof(f7994,plain,(
% 54.61/7.21 less_or_equal(additive_identity,add(additive_inverse(a),a))),
% 54.61/7.21 inference(resolution,[status(thm)],[f7975,f73])).
% 54.61/7.21 fof(f8020,plain,(
% 54.61/7.21 ![X0]: (~less_or_equal(additive_inverse(a),X0)|less_or_equal(additive_identity,add(X0,a)))),
% 54.61/7.21 inference(resolution,[status(thm)],[f7994,f1275])).
% 54.61/7.21 fof(f11624,plain,(
% 54.61/7.21 spl0_1023 <=> ~less_or_equal(a,X1)|~less_or_equal(X1,a)|~less_or_equal(additive_identity,X1)),
% 54.61/7.21 introduced(split_symbol_definition)).
% 54.61/7.21 fof(f11625,plain,(
% 54.61/7.21 ![X0]: (~less_or_equal(a,X0)|~less_or_equal(X0,a)|~less_or_equal(additive_identity,X0)|~spl0_1023)),
% 54.61/7.21 inference(component_clause,[status(thm)],[f11624])).
% 54.61/7.21 fof(f11651,plain,(
% 54.61/7.21 ![X0]: (~less_or_equal(X0,a)|~less_or_equal(additive_identity,X0)|~spl0_2|~spl0_1023)),
% 54.61/7.21 inference(forward_subsumption_resolution,[status(thm)],[f11625,f266])).
% 54.61/7.21 fof(f12561,plain,(
% 54.61/7.21 ~less_or_equal(additive_identity,add(additive_identity,a))|~spl0_2|~spl0_1023|~spl0_93),
% 54.61/7.21 inference(resolution,[status(thm)],[f11651,f988])).
% 54.61/7.24 fof(f12612,plain,(
% 54.61/7.24 ~less_or_equal(additive_inverse(a),additive_identity)|~spl0_2|~spl0_1023|~spl0_93),
% 54.61/7.24 inference(resolution,[status(thm)],[f12561,f8020])).
% 54.61/7.24 fof(f12613,plain,(
% 54.61/7.24 $false|~spl0_2|~spl0_1023|~spl0_93),
% 54.61/7.24 inference(forward_subsumption_resolution,[status(thm)],[f12612,f74])).
% 54.61/7.24 fof(f12614,plain,(
% 54.61/7.24 ~spl0_2|~spl0_1023|~spl0_93),
% 54.61/7.24 inference(contradiction_clause,[status(thm)],[f12613])).
% 54.61/7.24 fof(f13254,plain,(
% 54.61/7.24 less_or_equal(additive_identity,a)|~spl0_91|~spl0_0),
% 54.61/7.24 inference(resolution,[status(thm)],[f928,f261])).
% 54.61/7.24 fof(f13255,plain,(
% 54.61/7.24 spl0_1|~spl0_91|~spl0_0),
% 54.61/7.24 inference(split_clause,[status(thm)],[f13254,f89,f927,f84])).
% 54.61/7.24 fof(f13298,plain,(
% 54.61/7.24 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,a)|spl0_91)),
% 54.61/7.24 inference(resolution,[status(thm)],[f939,f65])).
% 54.61/7.24 fof(f14359,plain,(
% 54.61/7.24 ![X0]: (~equalish(X0,a)|~less_or_equal(additive_identity,X0)|~less_or_equal(X0,additive_identity)|spl0_91)),
% 54.61/7.24 inference(resolution,[status(thm)],[f13298,f53])).
% 54.61/7.24 fof(f14360,plain,(
% 54.61/7.24 ![X0]: (~equalish(X0,a)|~less_or_equal(additive_identity,X0)|~spl0_2|spl0_91)),
% 54.61/7.24 inference(forward_subsumption_resolution,[status(thm)],[f14359,f345])).
% 54.61/7.24 fof(f14390,plain,(
% 54.61/7.24 ![X0]: (~less_or_equal(additive_identity,X0)|~less_or_equal(X0,a)|~less_or_equal(a,X0)|~spl0_2|spl0_91)),
% 54.61/7.24 inference(resolution,[status(thm)],[f14360,f53])).
% 54.61/7.24 fof(f14391,plain,(
% 54.61/7.24 spl0_1023|~spl0_2|spl0_91),
% 54.61/7.24 inference(split_clause,[status(thm)],[f14390,f11624,f92,f927])).
% 54.61/7.24 fof(f14392,plain,(
% 54.61/7.24 $false),
% 54.61/7.24 inference(sat_refutation,[status(thm)],[f88,f96,f98,f924,f991,f12614,f13255,f14391])).
% 54.61/7.24 % SZS output end CNFRefutation for theBenchmark.p
% 54.61/7.28 % Elapsed time: 6.946646 seconds
% 54.61/7.28 % CPU time: 55.074061 seconds
% 54.61/7.28 % Total memory used: 296.527 MB
% 54.61/7.28 % Net memory used: 284.750 MB
%------------------------------------------------------------------------------