TSTP Solution File: ALG054+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG054+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:09:19 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 123 ( 39 unt; 0 def)
% Number of atoms : 481 ( 368 equ)
% Maximal formula atoms : 100 ( 3 avg)
% Number of connectives : 603 ( 245 ~; 159 |; 179 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f192,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f194,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f205,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f223,plain,
( op(e1,e1) != e4
| op(e1,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f236,plain,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f271,plain,
( spl0_10
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( op(e0,e2) = e0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f322,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( op(e1,e0) != e1
| spl0_26 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f338,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f347,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e1,e1) != e4
| spl0_34 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f354,plain,
( spl0_36
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e1,e2) = e1
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f360,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f379,plain,
( spl0_44
<=> op(e1,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( op(e1,e3) = e4
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f386,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( op(e1,e4) = e1
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f437,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f587,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f603,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( op(e4,e3) = e2
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f619,plain,
( spl0_119
<=> op(e4,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( op(e4,e3) = e4
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f629,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( op(e4,e4) != e2
| spl0_122 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f635,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f639,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f639,f642,f645,f648,f651]) ).
fof(f719,plain,
( ~ spl0_34
| spl0_46 ),
inference(split_clause,[status(thm)],[f223,f347,f386]) ).
fof(f732,plain,
( ~ spl0_122
| spl0_114 ),
inference(split_clause,[status(thm)],[f236,f629,f603]) ).
fof(f735,plain,
e3 = op(e2,op(op(e1,e1),op(e1,e1))),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f736,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[status(thm)],[f206,f735]) ).
fof(f737,plain,
( e3 = e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f736,f438]) ).
fof(f738,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f202]) ).
fof(f739,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( e4 = e1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f208,f339]) ).
fof(f741,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f201]) ).
fof(f742,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f741]) ).
fof(f863,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f880,plain,
e2 = op(op(e1,e1),e4),
inference(backward_demodulation,[status(thm)],[f208,f206]) ).
fof(f881,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f880]) ).
fof(f882,plain,
( e2 = e4
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f636,f881]) ).
fof(f883,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f203]) ).
fof(f884,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f887,plain,
e4 != op(e1,e3),
inference(backward_demodulation,[status(thm)],[f208,f160]) ).
fof(f893,plain,
e4 != op(e4,e1),
inference(backward_demodulation,[status(thm)],[f208,f111]) ).
fof(f930,plain,
( e4 != e4
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f208,f349]) ).
fof(f931,plain,
( $false
| spl0_34 ),
inference(trivial_equality_resolution,[status(esa)],[f930]) ).
fof(f932,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f931]) ).
fof(f1039,plain,
( op(e1,e0) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f640,f37]) ).
fof(f1040,plain,
( $false
| spl0_26
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f324]) ).
fof(f1041,plain,
( spl0_26
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1040]) ).
fof(f1052,plain,
( op(e1,e0) != e1
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f387,f158]) ).
fof(f1053,plain,
( ~ spl0_26
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1052,f322,f386]) ).
fof(f1093,plain,
op(e0,e2) != e0,
inference(forward_demodulation,[status(thm)],[f863,f115]) ).
fof(f1122,plain,
( e2 != e2
| spl0_122 ),
inference(forward_demodulation,[status(thm)],[f881,f631]) ).
fof(f1123,plain,
( $false
| spl0_122 ),
inference(trivial_equality_resolution,[status(esa)],[f1122]) ).
fof(f1124,plain,
spl0_122,
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1207,plain,
( op(e1,e1) = e1
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f643,f37]) ).
fof(f1208,plain,
( spl0_31
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1207,f338,f642]) ).
fof(f1260,plain,
op(e4,e3) != e2,
inference(forward_demodulation,[status(thm)],[f881,f194]) ).
fof(f1272,plain,
( op(e4,e2) != e4
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f620,f192]) ).
fof(f1273,plain,
( ~ spl0_114
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f1272,f603,f619]) ).
fof(f1306,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f893]) ).
fof(f1307,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1312,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f272,f1093]) ).
fof(f1313,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1317,plain,
( e0 = e1
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f863,f355]) ).
fof(f1318,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f195]) ).
fof(f1319,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f1318]) ).
fof(f1389,plain,
( op(e2,e2) = e2
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f646,f38]) ).
fof(f1390,plain,
( spl0_62
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f1389,f437,f645]) ).
fof(f1520,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f614,f1260]) ).
fof(f1521,plain,
~ spl0_117,
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1644,plain,
( op(e4,e3) = e4
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f649,f43]) ).
fof(f1645,plain,
( spl0_119
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f1644,f619,f648]) ).
fof(f1664,plain,
( e0 = e3
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f863,f361]) ).
fof(f1665,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1664,f197]) ).
fof(f1666,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f1665]) ).
fof(f1674,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f887]) ).
fof(f1675,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1685,plain,
( op(e4,e4) = e4
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f652,f43]) ).
fof(f1686,plain,
( spl0_124
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f1685,f635,f651]) ).
fof(f1729,plain,
$false,
inference(sat_refutation,[status(thm)],[f654,f719,f732,f739,f742,f884,f932,f1041,f1053,f1124,f1208,f1273,f1307,f1313,f1319,f1390,f1521,f1645,f1666,f1675,f1686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ALG054+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:55:59 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.19/0.42 % Refutation found
% 0.19/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.082252 seconds
% 0.19/0.43 % CPU time: 0.532891 seconds
% 0.19/0.43 % Total memory used: 21.653 MB
% 0.19/0.43 % Net memory used: 21.213 MB
%------------------------------------------------------------------------------