TSTP Solution File: ALG045+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG045+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 02:03:24 EDT 2024
% Result : Unsatisfiable 2.25s 1.18s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 169 ( 63 unt; 0 def)
% Number of atoms : 642 ( 592 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 651 ( 178 ~; 329 |; 144 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f10,axiom,
~ ( e3 = op(e1,e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ( e1 = op(e2,e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f17,axiom,
~ ( e0 = op(e2,e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f23,axiom,
~ ( e0 = op(e1,e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f28,axiom,
~ ( e2 = op(e0,e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f34,plain,
( e3 != op(e1,e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
( e1 != op(e2,e3)
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f41,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f47,plain,
( e0 != op(e1,e3)
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f52,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f55,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f56,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f57,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f58,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f6,f57,f56,f55]) ).
fof(f59,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f55]) ).
fof(f68,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f125,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f132,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( e2 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f176,plain,
( e2 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f178,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f179,plain,
( e1 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f180,plain,
( e1 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f181,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f183,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f185,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f186,plain,
( e3 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f188,plain,
( e3 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f192,plain,
( e3 != op(e1,e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f193,plain,
( e1 != op(e2,e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f199,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f205,plain,
( e0 != op(e1,e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f210,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_53,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_58,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_65,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_66,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f85]) ).
cnf(c_67,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f84]) ).
cnf(c_68,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f83]) ).
cnf(c_69,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f82]) ).
cnf(c_70,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f81]) ).
cnf(c_71,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f80]) ).
cnf(c_72,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f79]) ).
cnf(c_73,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f78]) ).
cnf(c_80,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_101,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_113,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f159]) ).
cnf(c_114,plain,
op(e2,e2) != op(e2,e1),
inference(cnf_transformation,[],[f158]) ).
cnf(c_115,plain,
op(e2,e3) != op(e2,e0),
inference(cnf_transformation,[],[f157]) ).
cnf(c_116,plain,
op(e2,e2) != op(e2,e0),
inference(cnf_transformation,[],[f156]) ).
cnf(c_121,plain,
op(e1,e3) != op(e1,e0),
inference(cnf_transformation,[],[f151]) ).
cnf(c_122,plain,
op(e1,e2) != op(e1,e0),
inference(cnf_transformation,[],[f150]) ).
cnf(c_124,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f148]) ).
cnf(c_125,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f147]) ).
cnf(c_129,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f143]) ).
cnf(c_130,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f142]) ).
cnf(c_131,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f141]) ).
cnf(c_132,plain,
op(e2,e3) != op(e1,e3),
inference(cnf_transformation,[],[f140]) ).
cnf(c_133,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f139]) ).
cnf(c_136,plain,
op(e3,e2) != op(e2,e2),
inference(cnf_transformation,[],[f136]) ).
cnf(c_138,plain,
op(e2,e2) != op(e1,e2),
inference(cnf_transformation,[],[f134]) ).
cnf(c_139,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f133]) ).
cnf(c_140,plain,
op(e2,e2) != op(e0,e2),
inference(cnf_transformation,[],[f132]) ).
cnf(c_141,plain,
op(e1,e2) != op(e0,e2),
inference(cnf_transformation,[],[f131]) ).
cnf(c_143,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f129]) ).
cnf(c_147,plain,
op(e1,e1) != op(e0,e1),
inference(cnf_transformation,[],[f125]) ).
cnf(c_151,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f121]) ).
cnf(c_154,plain,
e3 != e2,
inference(cnf_transformation,[],[f172]) ).
cnf(c_158,plain,
e2 != e0,
inference(cnf_transformation,[],[f168]) ).
cnf(c_160,plain,
( ~ sP2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_161,plain,
( ~ sP2
| op(e2,e2) = e2 ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_164,plain,
( ~ sP1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_165,plain,
( ~ sP1
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_166,plain,
( ~ sP1
| op(e1,e1) = e1 ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_169,plain,
( ~ sP0
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_171,plain,
( ~ sP0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_172,plain,
( op(e3,e3) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_174,plain,
( op(e1,e1) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_175,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_179,plain,
( op(e2,e2) != e0
| op(e1,e2) != e3 ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_180,plain,
( op(e3,e3) != e0
| op(e2,e3) != e1 ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_186,plain,
( op(e3,e3) != e1
| op(e2,e3) != e0 ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_192,plain,
( op(e3,e3) != e2
| op(e1,e3) != e0 ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_197,plain,
( op(e1,e1) != e3
| op(e0,e1) != e2 ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_2187,plain,
( op(e3,e3) = e3
| op(e2,e2) = e0
| sP2
| sP1 ),
inference(resolution,[status(thm)],[c_172,c_169]) ).
cnf(c_2278,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_3115,plain,
( op(e3,e3) = e3
| op(e0,e0) = e0
| sP2
| sP1 ),
inference(superposition,[status(thm)],[c_172,c_171]) ).
cnf(c_3117,plain,
( op(e3,e3) = e3
| op(e2,e2) = e0
| sP2
| sP1 ),
inference(superposition,[status(thm)],[c_172,c_169]) ).
cnf(c_3365,plain,
( op(e3,e3) = e3
| op(e3,e3) = e1
| op(e0,e0) = e0
| sP2 ),
inference(superposition,[status(thm)],[c_3115,c_164]) ).
cnf(c_3443,plain,
( op(e0,e1) = e1
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_65,c_71]) ).
cnf(c_3444,plain,
( op(e1,e0) = e1
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_65,c_70]) ).
cnf(c_3445,plain,
( op(e0,e2) = e2
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_65,c_69]) ).
cnf(c_3447,plain,
( op(e0,e3) = e3
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_65,c_67]) ).
cnf(c_3448,plain,
( op(e3,e0) = e3
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_65,c_66]) ).
cnf(c_3531,plain,
( op(e2,e2) != e0
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1 ),
inference(superposition,[status(thm)],[c_58,c_138]) ).
cnf(c_3556,plain,
( op(e3,e3) = e3
| op(e2,e2) = e1
| op(e2,e2) = e0
| sP2 ),
inference(superposition,[status(thm)],[c_3117,c_165]) ).
cnf(c_4049,plain,
( op(e0,e1) != X0
| op(e0,e0) != X0
| op(e0,e1) = op(e0,e0) ),
inference(instantiation,[status(thm)],[c_2278]) ).
cnf(c_4050,plain,
( op(e0,e1) != e0
| op(e0,e0) != e0
| op(e0,e1) = op(e0,e0) ),
inference(instantiation,[status(thm)],[c_4049]) ).
cnf(c_4263,plain,
( op(e1,e1) != e1
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_3443,c_147]) ).
cnf(c_4302,plain,
( op(e1,e2) != e1
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_3444,c_122]) ).
cnf(c_4331,plain,
( op(e1,e2) != e2
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_3445,c_141]) ).
cnf(c_4332,plain,
( op(e2,e2) != e2
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_3445,c_140]) ).
cnf(c_4403,plain,
( op(e3,e3) != e3
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[status(thm)],[c_3447,c_133]) ).
cnf(c_4423,plain,
( e3 = unit
| e2 = unit
| e1 = unit ),
inference(global_subsumption_just,[status(thm)],[c_3448,c_166,c_161,c_179,c_2187,c_3531,c_4263,c_4302,c_4332,c_4331,c_4403]) ).
cnf(c_4431,plain,
( op(e1,e0) = e0
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4423,c_73]) ).
cnf(c_4432,plain,
( op(e0,e1) = e0
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4423,c_72]) ).
cnf(c_4435,plain,
( op(e1,e2) = e2
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4423,c_69]) ).
cnf(c_4436,plain,
( op(e2,e1) = e2
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4423,c_68]) ).
cnf(c_4437,plain,
( op(e1,e3) = e3
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4423,c_67]) ).
cnf(c_4438,plain,
( op(e3,e1) = e3
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4423,c_66]) ).
cnf(c_4470,plain,
( op(e1,e3) != e0
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4431,c_121]) ).
cnf(c_4496,plain,
( op(e0,e3) != e0
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4432,c_125]) ).
cnf(c_4674,plain,
( op(e2,e2) != e2
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4435,c_138]) ).
cnf(c_4702,plain,
( op(e2,e3) != e2
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4436,c_113]) ).
cnf(c_4723,plain,
( op(e2,e3) != e3
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4437,c_132]) ).
cnf(c_4724,plain,
( op(e3,e3) != e3
| e3 = unit
| e2 = unit ),
inference(superposition,[status(thm)],[c_4437,c_131]) ).
cnf(c_4737,plain,
( e3 = unit
| e2 = unit ),
inference(global_subsumption_just,[status(thm)],[c_4438,c_161,c_129,c_186,c_180,c_80,c_53,c_3365,c_4050,c_4432,c_4470,c_4496,c_4674,c_4702,c_4724,c_4723]) ).
cnf(c_4743,plain,
( op(e2,e0) = e0
| e3 = unit ),
inference(superposition,[status(thm)],[c_4737,c_73]) ).
cnf(c_4744,plain,
( op(e0,e2) = e0
| e3 = unit ),
inference(superposition,[status(thm)],[c_4737,c_72]) ).
cnf(c_4745,plain,
( op(e2,e1) = e1
| e3 = unit ),
inference(superposition,[status(thm)],[c_4737,c_71]) ).
cnf(c_4749,plain,
( op(e2,e3) = e3
| e3 = unit ),
inference(superposition,[status(thm)],[c_4737,c_67]) ).
cnf(c_4771,plain,
( op(e2,e2) != e0
| e3 = unit ),
inference(superposition,[status(thm)],[c_4743,c_116]) ).
cnf(c_4772,plain,
( op(e2,e3) != e0
| e3 = unit ),
inference(superposition,[status(thm)],[c_4743,c_115]) ).
cnf(c_4788,plain,
( op(e0,e3) != e0
| e3 = unit ),
inference(superposition,[status(thm)],[c_4744,c_124]) ).
cnf(c_4802,plain,
( op(e2,e2) != e1
| e3 = unit ),
inference(superposition,[status(thm)],[c_4745,c_114]) ).
cnf(c_4852,plain,
( op(e3,e3) != e3
| e3 = unit ),
inference(superposition,[status(thm)],[c_4749,c_130]) ).
cnf(c_5104,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| e3 = unit ),
inference(superposition,[status(thm)],[c_80,c_4788]) ).
cnf(c_6365,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_5104,c_4852,c_4802,c_4772,c_4771,c_3556,c_197,c_192,c_175,c_174,c_172,c_171,c_166,c_161,c_160,c_158,c_154,c_151,c_143,c_139,c_136,c_101,c_73,c_72,c_71,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG045+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 23:05:57 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.25/1.18 % SZS status Started for theBenchmark.p
% 2.25/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.25/1.18
% 2.25/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.25/1.18
% 2.25/1.18 ------ iProver source info
% 2.25/1.18
% 2.25/1.18 git: date: 2024-05-02 19:28:25 +0000
% 2.25/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.25/1.18 git: non_committed_changes: false
% 2.25/1.18
% 2.25/1.18 ------ Parsing...
% 2.25/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.25/1.18
% 2.25/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.25/1.18
% 2.25/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.25/1.18
% 2.25/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.25/1.18 ------ Proving...
% 2.25/1.18 ------ Problem Properties
% 2.25/1.18
% 2.25/1.18
% 2.25/1.18 clauses 151
% 2.25/1.18 conjectures 0
% 2.25/1.18 EPR 7
% 2.25/1.18 Horn 98
% 2.25/1.18 unary 62
% 2.25/1.18 binary 36
% 2.25/1.18 lits 346
% 2.25/1.18 lits eq 322
% 2.25/1.18 fd_pure 0
% 2.25/1.18 fd_pseudo 0
% 2.25/1.18 fd_cond 0
% 2.25/1.18 fd_pseudo_cond 0
% 2.25/1.18 AC symbols 0
% 2.25/1.18
% 2.25/1.18 ------ Schedule dynamic 5 is on
% 2.25/1.18
% 2.25/1.18 ------ no conjectures: strip conj schedule
% 2.25/1.18
% 2.25/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.25/1.18
% 2.25/1.18
% 2.25/1.18 ------
% 2.25/1.18 Current options:
% 2.25/1.18 ------
% 2.25/1.18
% 2.25/1.18
% 2.25/1.18
% 2.25/1.18
% 2.25/1.18 ------ Proving...
% 2.25/1.18
% 2.25/1.18
% 2.25/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.25/1.18
% 2.25/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.25/1.18
% 2.25/1.18
%------------------------------------------------------------------------------