TSTP Solution File: ALG025+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG025+1 : TPTP v8.1.2. Released v2.7.0.
% 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 20:09:00 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 120 ( 37 unt; 0 def)
% Number of atoms : 466 ( 324 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 478 ( 132 ~; 149 |; 176 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,conjecture,
( ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) )
| ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ( ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) )
| ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f552,plain,
( ( op(e0,e0) != op(e0,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e1,e0) != op(e0,e1)
| op(e1,e1) != op(e1,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e5) != op(e5,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| op(e3,e3) != op(e3,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e5) != op(e5,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| op(e4,e4) != op(e4,e4)
| op(e4,e5) != op(e5,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5)
| op(e5,e5) != op(e5,e5) )
& op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f553,plain,
( op(e0,e0) != op(e0,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e1,e0) != op(e0,e1)
| op(e1,e1) != op(e1,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e5) != op(e5,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| op(e3,e3) != op(e3,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e5) != op(e5,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| op(e4,e4) != op(e4,e4)
| op(e4,e5) != op(e5,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5)
| op(e5,e5) != op(e5,e5) ),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f555,plain,
op(e0,e1) = op(e1,e0),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f556,plain,
op(e0,e2) = op(e2,e0),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f557,plain,
op(e0,e3) = op(e3,e0),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f558,plain,
op(e0,e4) = op(e4,e0),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f559,plain,
op(e0,e5) = op(e5,e0),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f562,plain,
op(e1,e2) = op(e2,e1),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f563,plain,
op(e1,e3) = op(e3,e1),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f564,plain,
op(e1,e4) = op(e4,e1),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f565,plain,
op(e1,e5) = op(e5,e1),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f569,plain,
op(e2,e3) = op(e3,e2),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f570,plain,
op(e2,e4) = op(e4,e2),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f571,plain,
op(e2,e5) = op(e5,e2),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f576,plain,
op(e3,e4) = op(e4,e3),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f577,plain,
op(e3,e5) = op(e5,e3),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f583,plain,
op(e4,e5) = op(e5,e4),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f1443,plain,
( spl0_258
<=> op(e0,e0) = op(e0,e0) ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( op(e0,e0) != op(e0,e0)
| spl0_258 ),
inference(component_clause,[status(thm)],[f1443]) ).
fof(f1446,plain,
( spl0_259
<=> op(e0,e1) = op(e1,e0) ),
introduced(split_symbol_definition) ).
fof(f1448,plain,
( op(e0,e1) != op(e1,e0)
| spl0_259 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,plain,
( spl0_260
<=> op(e0,e2) = op(e2,e0) ),
introduced(split_symbol_definition) ).
fof(f1451,plain,
( op(e0,e2) != op(e2,e0)
| spl0_260 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( spl0_261
<=> op(e0,e3) = op(e3,e0) ),
introduced(split_symbol_definition) ).
fof(f1454,plain,
( op(e0,e3) != op(e3,e0)
| spl0_261 ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1455,plain,
( spl0_262
<=> op(e0,e4) = op(e4,e0) ),
introduced(split_symbol_definition) ).
fof(f1457,plain,
( op(e0,e4) != op(e4,e0)
| spl0_262 ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1458,plain,
( spl0_263
<=> op(e0,e5) = op(e5,e0) ),
introduced(split_symbol_definition) ).
fof(f1460,plain,
( op(e0,e5) != op(e5,e0)
| spl0_263 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1461,plain,
( spl0_264
<=> op(e1,e1) = op(e1,e1) ),
introduced(split_symbol_definition) ).
fof(f1463,plain,
( op(e1,e1) != op(e1,e1)
| spl0_264 ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1464,plain,
( spl0_265
<=> op(e1,e2) = op(e2,e1) ),
introduced(split_symbol_definition) ).
fof(f1466,plain,
( op(e1,e2) != op(e2,e1)
| spl0_265 ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1467,plain,
( spl0_266
<=> op(e1,e3) = op(e3,e1) ),
introduced(split_symbol_definition) ).
fof(f1469,plain,
( op(e1,e3) != op(e3,e1)
| spl0_266 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,plain,
( spl0_267
<=> op(e1,e4) = op(e4,e1) ),
introduced(split_symbol_definition) ).
fof(f1472,plain,
( op(e1,e4) != op(e4,e1)
| spl0_267 ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( spl0_268
<=> op(e1,e5) = op(e5,e1) ),
introduced(split_symbol_definition) ).
fof(f1475,plain,
( op(e1,e5) != op(e5,e1)
| spl0_268 ),
inference(component_clause,[status(thm)],[f1473]) ).
fof(f1476,plain,
( spl0_269
<=> op(e2,e2) = op(e2,e2) ),
introduced(split_symbol_definition) ).
fof(f1478,plain,
( op(e2,e2) != op(e2,e2)
| spl0_269 ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( spl0_270
<=> op(e2,e3) = op(e3,e2) ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( op(e2,e3) != op(e3,e2)
| spl0_270 ),
inference(component_clause,[status(thm)],[f1479]) ).
fof(f1482,plain,
( spl0_271
<=> op(e2,e4) = op(e4,e2) ),
introduced(split_symbol_definition) ).
fof(f1484,plain,
( op(e2,e4) != op(e4,e2)
| spl0_271 ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( spl0_272
<=> op(e2,e5) = op(e5,e2) ),
introduced(split_symbol_definition) ).
fof(f1487,plain,
( op(e2,e5) != op(e5,e2)
| spl0_272 ),
inference(component_clause,[status(thm)],[f1485]) ).
fof(f1488,plain,
( spl0_273
<=> op(e3,e3) = op(e3,e3) ),
introduced(split_symbol_definition) ).
fof(f1490,plain,
( op(e3,e3) != op(e3,e3)
| spl0_273 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,plain,
( spl0_274
<=> op(e3,e4) = op(e4,e3) ),
introduced(split_symbol_definition) ).
fof(f1493,plain,
( op(e3,e4) != op(e4,e3)
| spl0_274 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,plain,
( spl0_275
<=> op(e3,e5) = op(e5,e3) ),
introduced(split_symbol_definition) ).
fof(f1496,plain,
( op(e3,e5) != op(e5,e3)
| spl0_275 ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1497,plain,
( spl0_276
<=> op(e4,e4) = op(e4,e4) ),
introduced(split_symbol_definition) ).
fof(f1499,plain,
( op(e4,e4) != op(e4,e4)
| spl0_276 ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,plain,
( spl0_277
<=> op(e4,e5) = op(e5,e4) ),
introduced(split_symbol_definition) ).
fof(f1502,plain,
( op(e4,e5) != op(e5,e4)
| spl0_277 ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( spl0_278
<=> op(e5,e5) = op(e5,e5) ),
introduced(split_symbol_definition) ).
fof(f1505,plain,
( op(e5,e5) != op(e5,e5)
| spl0_278 ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1506,plain,
( ~ spl0_258
| ~ spl0_259
| ~ spl0_260
| ~ spl0_261
| ~ spl0_262
| ~ spl0_263
| ~ spl0_264
| ~ spl0_265
| ~ spl0_266
| ~ spl0_267
| ~ spl0_268
| ~ spl0_269
| ~ spl0_270
| ~ spl0_271
| ~ spl0_272
| ~ spl0_273
| ~ spl0_274
| ~ spl0_275
| ~ spl0_276
| ~ spl0_277
| ~ spl0_278 ),
inference(split_clause,[status(thm)],[f553,f1443,f1446,f1449,f1452,f1455,f1458,f1461,f1464,f1467,f1470,f1473,f1476,f1479,f1482,f1485,f1488,f1491,f1494,f1497,f1500,f1503]) ).
fof(f1515,plain,
( $false
| spl0_278 ),
inference(trivial_equality_resolution,[status(esa)],[f1505]) ).
fof(f1516,plain,
spl0_278,
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1517,plain,
( op(e4,e5) != op(e4,e5)
| spl0_277 ),
inference(forward_demodulation,[status(thm)],[f583,f1502]) ).
fof(f1518,plain,
( $false
| spl0_277 ),
inference(trivial_equality_resolution,[status(esa)],[f1517]) ).
fof(f1519,plain,
spl0_277,
inference(contradiction_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( $false
| spl0_276 ),
inference(trivial_equality_resolution,[status(esa)],[f1499]) ).
fof(f1521,plain,
spl0_276,
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1522,plain,
( op(e3,e5) != op(e3,e5)
| spl0_275 ),
inference(forward_demodulation,[status(thm)],[f577,f1496]) ).
fof(f1523,plain,
( $false
| spl0_275 ),
inference(trivial_equality_resolution,[status(esa)],[f1522]) ).
fof(f1524,plain,
spl0_275,
inference(contradiction_clause,[status(thm)],[f1523]) ).
fof(f1525,plain,
( op(e3,e4) != op(e3,e4)
| spl0_274 ),
inference(forward_demodulation,[status(thm)],[f576,f1493]) ).
fof(f1526,plain,
( $false
| spl0_274 ),
inference(trivial_equality_resolution,[status(esa)],[f1525]) ).
fof(f1527,plain,
spl0_274,
inference(contradiction_clause,[status(thm)],[f1526]) ).
fof(f1528,plain,
( $false
| spl0_273 ),
inference(trivial_equality_resolution,[status(esa)],[f1490]) ).
fof(f1529,plain,
spl0_273,
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1530,plain,
( op(e2,e5) != op(e2,e5)
| spl0_272 ),
inference(forward_demodulation,[status(thm)],[f571,f1487]) ).
fof(f1531,plain,
( $false
| spl0_272 ),
inference(trivial_equality_resolution,[status(esa)],[f1530]) ).
fof(f1532,plain,
spl0_272,
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1533,plain,
( op(e2,e4) != op(e2,e4)
| spl0_271 ),
inference(forward_demodulation,[status(thm)],[f570,f1484]) ).
fof(f1534,plain,
( $false
| spl0_271 ),
inference(trivial_equality_resolution,[status(esa)],[f1533]) ).
fof(f1535,plain,
spl0_271,
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( op(e2,e3) != op(e2,e3)
| spl0_270 ),
inference(forward_demodulation,[status(thm)],[f569,f1481]) ).
fof(f1537,plain,
( $false
| spl0_270 ),
inference(trivial_equality_resolution,[status(esa)],[f1536]) ).
fof(f1538,plain,
spl0_270,
inference(contradiction_clause,[status(thm)],[f1537]) ).
fof(f1539,plain,
( $false
| spl0_269 ),
inference(trivial_equality_resolution,[status(esa)],[f1478]) ).
fof(f1540,plain,
spl0_269,
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( op(e1,e5) != op(e1,e5)
| spl0_268 ),
inference(forward_demodulation,[status(thm)],[f565,f1475]) ).
fof(f1542,plain,
( $false
| spl0_268 ),
inference(trivial_equality_resolution,[status(esa)],[f1541]) ).
fof(f1543,plain,
spl0_268,
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( op(e1,e4) != op(e1,e4)
| spl0_267 ),
inference(forward_demodulation,[status(thm)],[f564,f1472]) ).
fof(f1545,plain,
( $false
| spl0_267 ),
inference(trivial_equality_resolution,[status(esa)],[f1544]) ).
fof(f1546,plain,
spl0_267,
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f1547,plain,
( op(e1,e3) != op(e1,e3)
| spl0_266 ),
inference(forward_demodulation,[status(thm)],[f563,f1469]) ).
fof(f1548,plain,
( $false
| spl0_266 ),
inference(trivial_equality_resolution,[status(esa)],[f1547]) ).
fof(f1549,plain,
spl0_266,
inference(contradiction_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( op(e1,e2) != op(e1,e2)
| spl0_265 ),
inference(forward_demodulation,[status(thm)],[f562,f1466]) ).
fof(f1551,plain,
( $false
| spl0_265 ),
inference(trivial_equality_resolution,[status(esa)],[f1550]) ).
fof(f1552,plain,
spl0_265,
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( $false
| spl0_264 ),
inference(trivial_equality_resolution,[status(esa)],[f1463]) ).
fof(f1554,plain,
spl0_264,
inference(contradiction_clause,[status(thm)],[f1553]) ).
fof(f1555,plain,
( op(e0,e5) != op(e0,e5)
| spl0_263 ),
inference(forward_demodulation,[status(thm)],[f559,f1460]) ).
fof(f1556,plain,
( $false
| spl0_263 ),
inference(trivial_equality_resolution,[status(esa)],[f1555]) ).
fof(f1557,plain,
spl0_263,
inference(contradiction_clause,[status(thm)],[f1556]) ).
fof(f1558,plain,
( op(e0,e4) != op(e0,e4)
| spl0_262 ),
inference(forward_demodulation,[status(thm)],[f558,f1457]) ).
fof(f1559,plain,
( $false
| spl0_262 ),
inference(trivial_equality_resolution,[status(esa)],[f1558]) ).
fof(f1560,plain,
spl0_262,
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( op(e0,e3) != op(e0,e3)
| spl0_261 ),
inference(forward_demodulation,[status(thm)],[f557,f1454]) ).
fof(f1562,plain,
( $false
| spl0_261 ),
inference(trivial_equality_resolution,[status(esa)],[f1561]) ).
fof(f1563,plain,
spl0_261,
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f1564,plain,
( op(e0,e2) != op(e0,e2)
| spl0_260 ),
inference(forward_demodulation,[status(thm)],[f556,f1451]) ).
fof(f1565,plain,
( $false
| spl0_260 ),
inference(trivial_equality_resolution,[status(esa)],[f1564]) ).
fof(f1566,plain,
spl0_260,
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
( op(e0,e1) != op(e0,e1)
| spl0_259 ),
inference(forward_demodulation,[status(thm)],[f555,f1448]) ).
fof(f1568,plain,
( $false
| spl0_259 ),
inference(trivial_equality_resolution,[status(esa)],[f1567]) ).
fof(f1569,plain,
spl0_259,
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1570,plain,
( $false
| spl0_258 ),
inference(trivial_equality_resolution,[status(esa)],[f1445]) ).
fof(f1571,plain,
spl0_258,
inference(contradiction_clause,[status(thm)],[f1570]) ).
fof(f1572,plain,
$false,
inference(sat_refutation,[status(thm)],[f1506,f1516,f1519,f1521,f1524,f1527,f1529,f1532,f1535,f1538,f1540,f1543,f1546,f1549,f1552,f1554,f1557,f1560,f1563,f1566,f1569,f1571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG025+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:22:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.37 % Refutation found
% 0.21/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.39 % Elapsed time: 0.041100 seconds
% 0.21/0.39 % CPU time: 0.135336 seconds
% 0.21/0.39 % Total memory used: 15.861 MB
% 0.21/0.39 % Net memory used: 15.192 MB
%------------------------------------------------------------------------------