TSTP Solution File: ALG067+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG067+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 Aug 31 15:42:28 EDT 2022
% Result : Theorem 1.35s 0.53s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 29
% Syntax : Number of formulae : 197 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 1019 ( 663 equ)
% Maximal formula atoms : 125 ( 5 avg)
% Number of connectives : 1286 ( 461 ~; 476 |; 348 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 25 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_26,type,
sQ25_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_27,type,
sQ26_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_28,type,
sQ27_eqProxy: ( $real * $real ) > $o ).
fof(f976,plain,
$false,
inference(sat_instgen_refutation,[],[f711,f762,f865,f664,f879,f943,f846,f882,f852,f784,f683,f841,f693,f712,f804,f808,f717,f674,f761,f724,f729,f731,f893,f942,f853,f732,f713,f847,f756,f947,f798,f896,f817,f935,f686,f777,f785,f915,f715,f750,f916,f707,f741,f776,f930,f928,f679,f867,f838,f871,f688,f791,f922,f779,f828,f727,f807,f796,f780,f955,f789,f745,f716,f682,f735,f698,f902,f945,f913,f700]) ).
fof(f700,plain,
( ~ sQ24_eqProxy(e0,op(e1,e1))
| sQ24_eqProxy(e1,op(e1,e0)) ),
inference(equality_proxy_replacement,[],[f193,f657,f657]) ).
fof(f657,plain,
! [X0,X1] :
( sQ24_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ24_eqProxy])]) ).
fof(f193,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( e4 = op(e3,e3)
& e3 = op(e4,e4)
& e3 != op(e3,e4) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e0 != op(e0,e2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e1,e1)
& op(e0,e0) = e1
& e1 != op(e1,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e4,e4)
& e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e3 != op(e3,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( op(e0,e0) = e4
& e0 != op(e0,e4)
& e0 = op(e4,e4) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e2 = op(e4,e4)
& e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e2 != op(e2,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e1 = op(e2,e2)
& e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e0 != op(e0,e3)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( op(e0,e0) = e4
& e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e4 = op(e1,e1)
& e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3)
& e4 = op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e2 = op(e1,e1)
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e1 = op(e3,e3)
& e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f9,plain,
( ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( e4 = op(e3,e3)
& e3 = op(e4,e4)
& e3 != op(e3,e4) )
| ( e1 = op(e3,e3)
& e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e2 = op(e1,e1)
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ( e3 = op(e4,e4)
& e4 != op(e4,e3)
& e4 = op(e3,e3) )
| ( e4 = op(e1,e1)
& e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e4
& e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ( e0 != op(e0,e3)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e1 = op(e2,e2)
& e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e2 != op(e2,e0) )
| ( e2 = op(e4,e4)
& e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( op(e0,e0) = e4
& e0 != op(e0,e4)
& e0 = op(e4,e4) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e3 != op(e3,e2) )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e1 = op(e4,e4)
& e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ( e0 = op(e1,e1)
& op(e0,e0) = e1
& e1 != op(e1,e0) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e0 != op(e0,e2) ) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( e4 = op(e3,e3)
& e3 = op(e4,e4)
& e3 != op(e3,e4) )
| ( e1 = op(e3,e3)
& e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e2 = op(e1,e1)
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ( e3 = op(e4,e4)
& e4 != op(e4,e3)
& e4 = op(e3,e3) )
| ( e4 = op(e1,e1)
& e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e4
& e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ( e0 != op(e0,e3)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e1 = op(e2,e2)
& e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e2 != op(e2,e0) )
| ( e2 = op(e4,e4)
& e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( op(e0,e0) = e4
& e0 != op(e0,e4)
& e0 = op(e4,e4) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e3 != op(e3,e2) )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e1 = op(e4,e4)
& e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ( e0 = op(e1,e1)
& op(e0,e0) = e1
& e1 != op(e1,e0) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e0 != op(e0,e2) ) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( e4 = op(e3,e3)
& e3 = op(e4,e4)
& e3 != op(e3,e4) )
| ( e1 = op(e3,e3)
& e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e2 = op(e1,e1)
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ( e3 = op(e4,e4)
& e4 != op(e4,e3)
& e4 = op(e3,e3) )
| ( e4 = op(e1,e1)
& e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e4
& e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ( e0 != op(e0,e3)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e1 = op(e2,e2)
& e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e2 != op(e2,e0) )
| ( e2 = op(e4,e4)
& e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( op(e0,e0) = e4
& e0 != op(e0,e4)
& e0 = op(e4,e4) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e3 != op(e3,e2) )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e1 = op(e4,e4)
& e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ( e0 = op(e1,e1)
& op(e0,e0) = e1
& e1 != op(e1,e0) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e0 != op(e0,e2) ) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f913,plain,
( sQ24_eqProxy(e4,op(e4,e1))
| ~ sQ24_eqProxy(e1,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f207,f657,f657]) ).
fof(f207,plain,
( e1 != op(e4,e4)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f945,plain,
( ~ sQ24_eqProxy(e4,op(e4,e3))
| ~ sP16 ),
inference(equality_proxy_replacement,[],[f130,f657]) ).
fof(f130,plain,
( ~ sP16
| e4 != op(e4,e3) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3)
& e4 = op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f902,plain,
( ~ sQ24_eqProxy(e1,op(e1,e2))
| ~ sP10 ),
inference(equality_proxy_replacement,[],[f148,f657]) ).
fof(f148,plain,
( ~ sP10
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e1 = op(e2,e2)
& e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f698,plain,
( ~ sQ24_eqProxy(e0,op(e3,e3))
| sQ24_eqProxy(e3,op(e3,e0)) ),
inference(equality_proxy_replacement,[],[f206,f657,f657]) ).
fof(f206,plain,
( e3 = op(e3,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f735,plain,
( ~ sQ24_eqProxy(e0,op(e0,e0))
| ~ sP13 ),
inference(equality_proxy_replacement,[],[f140,f657]) ).
fof(f140,plain,
( ~ sP13
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f682,plain,
( sQ24_eqProxy(op(e0,e0),e4)
| ~ sP7 ),
inference(equality_proxy_replacement,[],[f158,f657]) ).
fof(f158,plain,
( op(e0,e0) = e4
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( op(e0,e0) = e4
& e0 != op(e0,e4)
& e0 = op(e4,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f716,plain,
( ~ sQ24_eqProxy(e1,op(e2,e2))
| sQ24_eqProxy(e2,op(e2,e1)) ),
inference(equality_proxy_replacement,[],[f197,f657,f657]) ).
fof(f197,plain,
( e2 = op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f745,plain,
( ~ sQ24_eqProxy(e4,op(e2,e2))
| sQ24_eqProxy(e2,op(e2,e4)) ),
inference(equality_proxy_replacement,[],[f188,f657,f657]) ).
fof(f188,plain,
( e4 != op(e2,e2)
| e2 = op(e2,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f789,plain,
( ~ sP6
| ~ sQ24_eqProxy(e4,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f161,f657]) ).
fof(f161,plain,
( ~ sP6
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f955,plain,
( sQ24_eqProxy(e4,op(e1,e1))
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f168,f657]) ).
fof(f168,plain,
( ~ sP3
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 = op(e4,e4)
& e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f780,plain,
( ~ sP21
| sQ24_eqProxy(e1,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f115,f657]) ).
fof(f115,plain,
( ~ sP21
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f796,plain,
( ~ sQ24_eqProxy(e4,op(e4,e0))
| ~ sP12 ),
inference(equality_proxy_replacement,[],[f141,f657]) ).
fof(f141,plain,
( e4 != op(e4,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( op(e0,e0) = e4
& e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f807,plain,
( ~ sP9
| sQ24_eqProxy(e0,op(e2,e2)) ),
inference(equality_proxy_replacement,[],[f152,f657]) ).
fof(f152,plain,
( e0 = op(e2,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e2 != op(e2,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f727,plain,
( sQ24_eqProxy(e4,op(e4,e3))
| ~ sQ24_eqProxy(e3,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f204,f657,f657]) ).
fof(f204,plain,
( e3 != op(e4,e4)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f828,plain,
( ~ sP1
| ~ sQ24_eqProxy(e3,op(e3,e0)) ),
inference(equality_proxy_replacement,[],[f176,f657]) ).
fof(f176,plain,
( ~ sP1
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f779,plain,
( sQ24_eqProxy(e1,op(e1,e1))
| ~ sP14 ),
inference(equality_proxy_replacement,[],[f135,f657]) ).
fof(f135,plain,
( ~ sP14
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f922,plain,
( ~ sP14
| ~ sQ24_eqProxy(e1,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f137,f657]) ).
fof(f137,plain,
( e1 != op(e1,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f791,plain,
( sQ24_eqProxy(e3,op(e3,e1))
| ~ sQ24_eqProxy(e1,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f187,f657,f657]) ).
fof(f187,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f688,plain,
( ~ sQ24_eqProxy(op(e0,e0),e2)
| sQ24_eqProxy(e0,op(e0,e2)) ),
inference(equality_proxy_replacement,[],[f200,f657,f657]) ).
fof(f200,plain,
( op(e0,e0) != e2
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f871,plain,
( ~ sP23
| ~ sQ24_eqProxy(e1,op(e1,e3)) ),
inference(equality_proxy_replacement,[],[f109,f657]) ).
fof(f109,plain,
( ~ sP23
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e1 = op(e3,e3)
& e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f838,plain,
( ~ sQ24_eqProxy(e2,op(e2,e1))
| ~ sP19 ),
inference(equality_proxy_replacement,[],[f121,f657]) ).
fof(f121,plain,
( e2 != op(e2,e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e2 = op(e1,e1)
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f867,plain,
( sQ24_eqProxy(e4,op(e4,e2))
| ~ sQ24_eqProxy(e2,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f189,f657,f657]) ).
fof(f189,plain,
( e2 != op(e4,e4)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f679,plain,
( ~ sP22
| sQ24_eqProxy(e3,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f111,f657]) ).
fof(f111,plain,
( e3 = op(e3,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f928,plain,
( sQ24_eqProxy(e4,op(e4,e0))
| ~ sQ24_eqProxy(e0,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f186,f657,f657]) ).
fof(f186,plain,
( e0 != op(e4,e4)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f930,plain,
( ~ sP1
| sQ24_eqProxy(e0,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f175,f657]) ).
fof(f175,plain,
( ~ sP1
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f776,plain,
( ~ sQ24_eqProxy(e4,op(e4,e2))
| ~ sP17 ),
inference(equality_proxy_replacement,[],[f127,f657]) ).
fof(f127,plain,
( ~ sP17
| e4 != op(e4,e2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f741,plain,
( sQ24_eqProxy(e3,op(e4,e4))
| ~ sP16 ),
inference(equality_proxy_replacement,[],[f131,f657]) ).
fof(f131,plain,
( ~ sP16
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f42]) ).
fof(f707,plain,
( sQ24_eqProxy(e3,op(e2,e2))
| ~ sP4 ),
inference(equality_proxy_replacement,[],[f166,f657]) ).
fof(f166,plain,
( e3 = op(e2,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f916,plain,
( ~ sQ24_eqProxy(e1,op(e1,e4))
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f169,f657]) ).
fof(f169,plain,
( e1 != op(e1,e4)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f750,plain,
( sQ24_eqProxy(e1,op(e1,e3))
| ~ sQ24_eqProxy(e3,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f202,f657,f657]) ).
fof(f202,plain,
( e3 != op(e1,e1)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f715,plain,
( ~ sQ24_eqProxy(e2,op(e2,e2))
| ~ sP18 ),
inference(equality_proxy_replacement,[],[f124,f657]) ).
fof(f124,plain,
( e2 != op(e2,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f915,plain,
( sQ24_eqProxy(e2,op(e4,e4))
| ~ sP17 ),
inference(equality_proxy_replacement,[],[f128,f657]) ).
fof(f128,plain,
( ~ sP17
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f785,plain,
( sP10
| sP11
| sP3
| sP6
| sP18
| sP9
| sP4
| ~ sQ24_eqProxy(e3,op(e3,e4))
| sP16
| sP7
| sP23
| sP14
| sP17
| sP15
| sP12
| sP22
| sP5
| sP21
| sP8
| sP13
| sP1
| sP2
| sP20
| sP19
| sP0 ),
inference(equality_proxy_replacement,[],[f183,f657]) ).
fof(f183,plain,
( sP7
| sP3
| sP6
| sP12
| sP8
| e3 != op(e3,e4)
| sP19
| sP11
| sP0
| sP10
| sP15
| sP2
| sP18
| sP23
| sP20
| sP4
| sP16
| sP22
| sP14
| sP1
| sP21
| sP17
| sP5
| sP13
| sP9 ),
inference(cnf_transformation,[],[f34]) ).
fof(f777,plain,
( ~ sP6
| sQ24_eqProxy(e4,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f159,f657]) ).
fof(f159,plain,
( ~ sP6
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f686,plain,
( ~ sP19
| sQ24_eqProxy(e1,op(e2,e2)) ),
inference(equality_proxy_replacement,[],[f120,f657]) ).
fof(f120,plain,
( ~ sP19
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f935,plain,
( ~ sP4
| ~ sQ24_eqProxy(e2,op(e2,e3)) ),
inference(equality_proxy_replacement,[],[f165,f657]) ).
fof(f165,plain,
( ~ sP4
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f817,plain,
( sQ24_eqProxy(e2,op(e2,e2))
| ~ sP18 ),
inference(equality_proxy_replacement,[],[f123,f657]) ).
fof(f123,plain,
( e2 = op(e2,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f896,plain,
( ~ sP5
| ~ sQ24_eqProxy(e3,op(e3,e2)) ),
inference(equality_proxy_replacement,[],[f162,f657]) ).
fof(f162,plain,
( ~ sP5
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e3 != op(e3,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f798,plain,
( ~ sP11
| sQ24_eqProxy(op(e0,e0),e3) ),
inference(equality_proxy_replacement,[],[f145,f657]) ).
fof(f145,plain,
( ~ sP11
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e0 != op(e0,e3)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f947,plain,
( ~ sP10
| sQ24_eqProxy(e2,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f147,f657]) ).
fof(f147,plain,
( e2 = op(e1,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f756,plain,
( ~ sP22
| ~ sQ24_eqProxy(e3,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f113,f657]) ).
fof(f113,plain,
( ~ sP22
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f36]) ).
fof(f847,plain,
( ~ sQ24_eqProxy(e4,op(e4,e1))
| ~ sP15 ),
inference(equality_proxy_replacement,[],[f133,f657]) ).
fof(f133,plain,
( ~ sP15
| e4 != op(e4,e1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e4 = op(e1,e1)
& e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f713,plain,
( sQ24_eqProxy(op(e0,e0),e2)
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f178,f657]) ).
fof(f178,plain,
( op(e0,e0) = e2
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 = op(e2,e2)
& op(e0,e0) = e2
& e0 != op(e0,e2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f732,plain,
( ~ sP0
| ~ sQ24_eqProxy(e0,op(e0,e2)) ),
inference(equality_proxy_replacement,[],[f177,f657]) ).
fof(f177,plain,
( ~ sP0
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f853,plain,
( sQ24_eqProxy(e0,op(e0,e0))
| ~ sP13 ),
inference(equality_proxy_replacement,[],[f139,f657]) ).
fof(f139,plain,
( ~ sP13
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f942,plain,
( sQ24_eqProxy(e0,op(e0,e4))
| ~ sQ24_eqProxy(op(e0,e0),e4) ),
inference(equality_proxy_replacement,[],[f181,f657,f657]) ).
fof(f181,plain,
( op(e0,e0) != e4
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f893,plain,
( ~ sQ24_eqProxy(e0,op(e0,e1))
| ~ sP20 ),
inference(equality_proxy_replacement,[],[f119,f657]) ).
fof(f119,plain,
( e0 != op(e0,e1)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f731,plain,
( sQ24_eqProxy(e0,op(e1,e1))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f173,f657]) ).
fof(f173,plain,
( ~ sP2
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e0 = op(e1,e1)
& op(e0,e0) = e1
& e1 != op(e1,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f729,plain,
( ~ sP12
| sQ24_eqProxy(e0,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f142,f657]) ).
fof(f142,plain,
( e0 = op(e4,e4)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f724,plain,
( ~ sQ24_eqProxy(e0,op(e0,e3))
| ~ sP11 ),
inference(equality_proxy_replacement,[],[f146,f657]) ).
fof(f146,plain,
( e0 != op(e0,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f761,plain,
( ~ sP2
| ~ sQ24_eqProxy(e1,op(e1,e0)) ),
inference(equality_proxy_replacement,[],[f171,f657]) ).
fof(f171,plain,
( e1 != op(e1,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f674,plain,
( sQ24_eqProxy(e1,op(e1,e2))
| ~ sQ24_eqProxy(e2,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f195,f657,f657]) ).
fof(f195,plain,
( e1 = op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f717,plain,
( ~ sQ24_eqProxy(e2,op(e2,e4))
| ~ sP8 ),
inference(equality_proxy_replacement,[],[f153,f657]) ).
fof(f153,plain,
( e2 != op(e2,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e2 = op(e4,e4)
& e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f808,plain,
( sQ24_eqProxy(e2,op(e3,e3))
| ~ sP5 ),
inference(equality_proxy_replacement,[],[f164,f657]) ).
fof(f164,plain,
( e2 = op(e3,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f804,plain,
( ~ sQ24_eqProxy(e3,op(e2,e2))
| sQ24_eqProxy(e2,op(e2,e3)) ),
inference(equality_proxy_replacement,[],[f205,f657,f657]) ).
fof(f205,plain,
( e3 != op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f712,plain,
( ~ sQ24_eqProxy(e0,op(e0,e4))
| ~ sP7 ),
inference(equality_proxy_replacement,[],[f157,f657]) ).
fof(f157,plain,
( e0 != op(e0,e4)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f693,plain,
( sQ24_eqProxy(e3,op(e3,e2))
| ~ sQ24_eqProxy(e2,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f180,f657,f657]) ).
fof(f180,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f841,plain,
( sQ24_eqProxy(e2,op(e2,e0))
| ~ sQ24_eqProxy(e0,op(e2,e2)) ),
inference(equality_proxy_replacement,[],[f198,f657,f657]) ).
fof(f198,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f683,plain,
( sQ24_eqProxy(e1,op(e1,e4))
| ~ sQ24_eqProxy(e4,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f203,f657,f657]) ).
fof(f203,plain,
( e1 = op(e1,e4)
| e4 != op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f784,plain,
( sQ24_eqProxy(op(e0,e0),e1)
| ~ sP20 ),
inference(equality_proxy_replacement,[],[f117,f657]) ).
fof(f117,plain,
( ~ sP20
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f852,plain,
( ~ sP23
| sQ24_eqProxy(e3,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f108,f657]) ).
fof(f108,plain,
( ~ sP23
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f882,plain,
( ~ sP21
| ~ sQ24_eqProxy(e3,op(e3,e1)) ),
inference(equality_proxy_replacement,[],[f116,f657]) ).
fof(f116,plain,
( ~ sP21
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f846,plain,
( sQ24_eqProxy(e3,op(e3,e4))
| ~ sQ24_eqProxy(e4,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f192,f657,f657]) ).
fof(f192,plain,
( e4 != op(e3,e3)
| e3 = op(e3,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f943,plain,
( ~ sQ24_eqProxy(op(e0,e0),e1)
| sQ24_eqProxy(e0,op(e0,e1)) ),
inference(equality_proxy_replacement,[],[f182,f657,f657]) ).
fof(f182,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f879,plain,
( ~ sP8
| sQ24_eqProxy(e4,op(e2,e2)) ),
inference(equality_proxy_replacement,[],[f154,f657]) ).
fof(f154,plain,
( ~ sP8
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f664,plain,
( ~ sQ24_eqProxy(e2,op(e2,e0))
| ~ sP9 ),
inference(equality_proxy_replacement,[],[f150,f657]) ).
fof(f150,plain,
( e2 != op(e2,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f865,plain,
( ~ sP15
| sQ24_eqProxy(e1,op(e4,e4)) ),
inference(equality_proxy_replacement,[],[f132,f657]) ).
fof(f132,plain,
( e1 = op(e4,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f762,plain,
( sQ24_eqProxy(e0,op(e0,e3))
| ~ sQ24_eqProxy(op(e0,e0),e3) ),
inference(equality_proxy_replacement,[],[f199,f657,f657]) ).
fof(f199,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f34]) ).
fof(f711,plain,
( sP21
| sP23
| sP4
| sP7
| sP16
| sQ24_eqProxy(e4,op(e3,e3))
| sP13
| sP17
| sP19
| sP0
| sP10
| sP2
| sP15
| sP5
| sP6
| sP14
| sP1
| sP20
| sP11
| sP18
| sP8
| sP9
| sP22
| sP12
| sP3 ),
inference(equality_proxy_replacement,[],[f185,f657]) ).
fof(f185,plain,
( sP11
| sP17
| sP16
| sP20
| sP14
| sP9
| sP0
| sP13
| sP1
| sP22
| sP4
| sP19
| sP18
| sP23
| e4 = op(e3,e3)
| sP10
| sP8
| sP5
| sP2
| sP6
| sP15
| sP12
| sP7
| sP3
| sP21 ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG067+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 Aug 29 14:49:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.50 % (17922)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50 % (17914)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.50 % (17910)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (17906)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (17914)First to succeed.
% 0.18/0.52 % (17924)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.53 % (17914)Refutation found. Thanks to Tanya!
% 1.35/0.53 % SZS status Theorem for theBenchmark
% 1.35/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.53 % (17914)------------------------------
% 1.35/0.53 % (17914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (17914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (17914)Termination reason: Refutation
% 1.35/0.53
% 1.35/0.53 % (17914)Memory used [KB]: 6140
% 1.35/0.53 % (17914)Time elapsed: 0.019 s
% 1.35/0.53 % (17914)Instructions burned: 13 (million)
% 1.35/0.53 % (17914)------------------------------
% 1.35/0.53 % (17914)------------------------------
% 1.35/0.53 % (17899)Success in time 0.184 s
%------------------------------------------------------------------------------