TSTP Solution File: ALG039+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG039+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Sun May 5 04:10:39 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 95 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 1565 ( 239 equ)
% Maximal formula atoms : 32 ( 16 avg)
% Number of connectives : 468 ( 141 ~; 174 |; 133 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1144 (1144 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 27 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 4 ( 3 !; 0 ?; 4 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f607,plain,
$false,
inference(avatar_sat_refutation,[],[f278,f283,f288,f293,f302,f307,f312,f317,f326,f331,f341,f358,f359,f360,f361,f362,f363,f364,f365,f366]) ).
tff(f366,plain,
spl4_14,
inference(avatar_split_clause,[],[f165,f333]) ).
tff(f333,plain,
( spl4_14
<=> sQ3_eqProxy($i,e0,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
tff(f165,plain,
sQ3_eqProxy($i,e0,op(e1,e1)),
inference(equality_proxy_replacement,[],[f39,f143]) ).
tff(f143,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f39,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
( ( e2 = op(e3,e1) )
& ( e0 = op(e1,e1) ) ),
file('/export/starexec/sandbox/tmp/tmp.uGdNBEha8u/Vampire---4.8_17498',ax6) ).
tff(f365,plain,
( spl4_11
| spl4_6
| spl4_1
| spl4_16 ),
inference(avatar_split_clause,[],[f163,f343,f271,f295,f319]) ).
tff(f319,plain,
( spl4_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
tff(f295,plain,
( spl4_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
tff(f271,plain,
( spl4_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f343,plain,
( spl4_16
<=> sQ3_eqProxy($i,op(e0,e0),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
tff(f163,plain,
( sQ3_eqProxy($i,op(e0,e0),e3)
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f31,f143]) ).
tff(f31,plain,
( ( op(e0,e0) = e3 )
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ( ( 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) ) )
& ( ( ( e3 = op(e3,e3) )
& ( e3 = op(e2,e2) )
& ( e3 = op(e1,e1) )
& ( op(e0,e0) = e3 ) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f11,f14,f13,f12]) ).
tff(f12,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])]) ).
tff(f13,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])]) ).
tff(f14,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])]) ).
tff(f11,plain,
( ( ( 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) ) )
& ( ( ( 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) ) ) ) ),
inference(flattening,[],[f10]) ).
tff(f10,plain,
( ( ( 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) ) )
& ( ( ( 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) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( ~ ( ( ( 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) ) ) )
& ( ( ( 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) ) ) ) ),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ ~ ( ~ ( ( ( 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) ) ) )
& ( ( ( 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) ) ) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
~ ( ~ ( ( ( 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) ) ) )
& ( ( ( 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/tmp/tmp.uGdNBEha8u/Vampire---4.8_17498',co1) ).
tff(f364,plain,
( spl4_11
| spl4_6
| spl4_1
| spl4_17 ),
inference(avatar_split_clause,[],[f162,f347,f271,f295,f319]) ).
tff(f347,plain,
( spl4_17
<=> sQ3_eqProxy($i,e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
tff(f162,plain,
( sQ3_eqProxy($i,e3,op(e1,e1))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f32,f143]) ).
tff(f32,plain,
( ( e3 = op(e1,e1) )
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f363,plain,
( spl4_11
| spl4_6
| spl4_1
| spl4_18 ),
inference(avatar_split_clause,[],[f161,f351,f271,f295,f319]) ).
tff(f351,plain,
( spl4_18
<=> sQ3_eqProxy($i,e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
tff(f161,plain,
( sQ3_eqProxy($i,e3,op(e2,e2))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f33,f143]) ).
tff(f33,plain,
( ( e3 = op(e2,e2) )
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f362,plain,
( spl4_11
| spl4_6
| spl4_1
| spl4_19 ),
inference(avatar_split_clause,[],[f160,f355,f271,f295,f319]) ).
tff(f355,plain,
( spl4_19
<=> sQ3_eqProxy($i,e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
tff(f160,plain,
( sQ3_eqProxy($i,e3,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f34,f143]) ).
tff(f34,plain,
( ( e3 = op(e3,e3) )
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f361,plain,
( ~ spl4_15
| ~ spl4_14
| ~ spl4_13
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f159,f323,f328,f333,f338]) ).
tff(f338,plain,
( spl4_15
<=> sQ3_eqProxy($i,e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
tff(f328,plain,
( spl4_13
<=> sQ3_eqProxy($i,e0,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
tff(f323,plain,
( spl4_12
<=> sQ3_eqProxy($i,e0,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
tff(f159,plain,
( ~ sQ3_eqProxy($i,e0,op(e3,e3))
| ~ sQ3_eqProxy($i,e0,op(e2,e2))
| ~ sQ3_eqProxy($i,e0,op(e1,e1))
| ~ sQ3_eqProxy($i,e0,op(e0,e0)) ),
inference(equality_proxy_replacement,[],[f35,f143]) ).
tff(f35,plain,
( ( e0 != op(e3,e3) )
| ( e0 != op(e2,e2) )
| ( e0 != op(e1,e1) )
| ( e0 != op(e0,e0) ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f360,plain,
( ~ spl4_10
| ~ spl4_9
| ~ spl4_8
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f158,f299,f304,f309,f314]) ).
tff(f314,plain,
( spl4_10
<=> sQ3_eqProxy($i,op(e0,e0),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
tff(f309,plain,
( spl4_9
<=> sQ3_eqProxy($i,e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
tff(f304,plain,
( spl4_8
<=> sQ3_eqProxy($i,e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f299,plain,
( spl4_7
<=> sQ3_eqProxy($i,e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f158,plain,
( ~ sQ3_eqProxy($i,e1,op(e3,e3))
| ~ sQ3_eqProxy($i,e1,op(e2,e2))
| ~ sQ3_eqProxy($i,e1,op(e1,e1))
| ~ sQ3_eqProxy($i,op(e0,e0),e1) ),
inference(equality_proxy_replacement,[],[f36,f143]) ).
tff(f36,plain,
( ( e1 != op(e3,e3) )
| ( e1 != op(e2,e2) )
| ( e1 != op(e1,e1) )
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f359,plain,
( ~ spl4_5
| ~ spl4_4
| ~ spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f157,f275,f280,f285,f290]) ).
tff(f290,plain,
( spl4_5
<=> sQ3_eqProxy($i,op(e0,e0),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
tff(f285,plain,
( spl4_4
<=> sQ3_eqProxy($i,e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f280,plain,
( spl4_3
<=> sQ3_eqProxy($i,e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f275,plain,
( spl4_2
<=> sQ3_eqProxy($i,e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f157,plain,
( ~ sQ3_eqProxy($i,e2,op(e3,e3))
| ~ sQ3_eqProxy($i,e2,op(e2,e2))
| ~ sQ3_eqProxy($i,e2,op(e1,e1))
| ~ sQ3_eqProxy($i,op(e0,e0),e2) ),
inference(equality_proxy_replacement,[],[f37,f143]) ).
tff(f37,plain,
( ( e2 != op(e3,e3) )
| ( e2 != op(e2,e2) )
| ( e2 != op(e1,e1) )
| ( op(e0,e0) != e2 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f358,plain,
( ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f156,f355,f351,f347,f343]) ).
tff(f156,plain,
( ~ sQ3_eqProxy($i,e3,op(e3,e3))
| ~ sQ3_eqProxy($i,e3,op(e2,e2))
| ~ sQ3_eqProxy($i,e3,op(e1,e1))
| ~ sQ3_eqProxy($i,op(e0,e0),e3) ),
inference(equality_proxy_replacement,[],[f38,f143]) ).
tff(f38,plain,
( ( e3 != op(e3,e3) )
| ( e3 != op(e2,e2) )
| ( e3 != op(e1,e1) )
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f341,plain,
( ~ spl4_11
| spl4_15 ),
inference(avatar_split_clause,[],[f155,f338,f319]) ).
tff(f155,plain,
( sQ3_eqProxy($i,e0,op(e0,e0))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f27,f143]) ).
tff(f27,plain,
( ( e0 = op(e0,e0) )
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( ( e0 = op(e3,e3) )
& ( e0 = op(e2,e2) )
& ( e0 = op(e1,e1) )
& ( e0 = op(e0,e0) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f12]) ).
tff(f331,plain,
( ~ spl4_11
| spl4_13 ),
inference(avatar_split_clause,[],[f153,f328,f319]) ).
tff(f153,plain,
( sQ3_eqProxy($i,e0,op(e2,e2))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f29,f143]) ).
tff(f29,plain,
( ( e0 = op(e2,e2) )
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f326,plain,
( ~ spl4_11
| spl4_12 ),
inference(avatar_split_clause,[],[f152,f323,f319]) ).
tff(f152,plain,
( sQ3_eqProxy($i,e0,op(e3,e3))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f30,f143]) ).
tff(f30,plain,
( ( e0 = op(e3,e3) )
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f317,plain,
( ~ spl4_6
| spl4_10 ),
inference(avatar_split_clause,[],[f151,f314,f295]) ).
tff(f151,plain,
( sQ3_eqProxy($i,op(e0,e0),e1)
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f23,f143]) ).
tff(f23,plain,
( ( op(e0,e0) = e1 )
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( ( e1 = op(e3,e3) )
& ( e1 = op(e2,e2) )
& ( e1 = op(e1,e1) )
& ( op(e0,e0) = e1 ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f13]) ).
tff(f312,plain,
( ~ spl4_6
| spl4_9 ),
inference(avatar_split_clause,[],[f150,f309,f295]) ).
tff(f150,plain,
( sQ3_eqProxy($i,e1,op(e1,e1))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f24,f143]) ).
tff(f24,plain,
( ( e1 = op(e1,e1) )
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
tff(f307,plain,
( ~ spl4_6
| spl4_8 ),
inference(avatar_split_clause,[],[f149,f304,f295]) ).
tff(f149,plain,
( sQ3_eqProxy($i,e1,op(e2,e2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f25,f143]) ).
tff(f25,plain,
( ( e1 = op(e2,e2) )
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
tff(f302,plain,
( ~ spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f148,f299,f295]) ).
tff(f148,plain,
( sQ3_eqProxy($i,e1,op(e3,e3))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f26,f143]) ).
tff(f26,plain,
( ( e1 = op(e3,e3) )
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
tff(f293,plain,
( ~ spl4_1
| spl4_5 ),
inference(avatar_split_clause,[],[f147,f290,f271]) ).
tff(f147,plain,
( sQ3_eqProxy($i,op(e0,e0),e2)
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f19,f143]) ).
tff(f19,plain,
( ( op(e0,e0) = e2 )
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( ( e2 = op(e3,e3) )
& ( e2 = op(e2,e2) )
& ( e2 = op(e1,e1) )
& ( op(e0,e0) = e2 ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f14]) ).
tff(f288,plain,
( ~ spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f146,f285,f271]) ).
tff(f146,plain,
( sQ3_eqProxy($i,e2,op(e1,e1))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f20,f143]) ).
tff(f20,plain,
( ( e2 = op(e1,e1) )
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
tff(f283,plain,
( ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f145,f280,f271]) ).
tff(f145,plain,
( sQ3_eqProxy($i,e2,op(e2,e2))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f21,f143]) ).
tff(f21,plain,
( ( e2 = op(e2,e2) )
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
tff(f278,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f144,f275,f271]) ).
tff(f144,plain,
( sQ3_eqProxy($i,e2,op(e3,e3))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f22,f143]) ).
tff(f22,plain,
( ( e2 = op(e3,e3) )
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG039+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:00:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.uGdNBEha8u/Vampire---4.8_17498
% 0.57/0.75 % (17606)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (17607)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (17613)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (17609)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (17608)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (17612)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (17610)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (17611)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (17606)First to succeed.
% 0.57/0.75 % (17606)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17605"
% 0.57/0.75 % (17612)Also succeeded, but the first one will report.
% 0.57/0.75 % (17613)Also succeeded, but the first one will report.
% 0.57/0.76 % (17607)Also succeeded, but the first one will report.
% 0.57/0.76 % (17611)Refutation not found, incomplete strategy% (17611)------------------------------
% 0.57/0.76 % (17611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (17611)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (17611)Memory used [KB]: 1116
% 0.57/0.76 % (17611)Time elapsed: 0.005 s
% 0.57/0.76 % (17611)Instructions burned: 9 (million)
% 0.57/0.76 % (17606)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (17606)------------------------------
% 0.57/0.76 % (17606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (17606)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (17606)Memory used [KB]: 1134
% 0.57/0.76 % (17606)Time elapsed: 0.005 s
% 0.57/0.76 % (17606)Instructions burned: 13 (million)
% 0.57/0.76 % (17605)Success in time 0.392 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------