TSTP Solution File: ALG039+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG039+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_uns --cores 0 -t %d %s
% Computer : n001.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 15:39:08 EDT 2022
% Result : Theorem 1.31s 0.53s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 94 ( 4 unt; 0 def)
% Number of atoms : 415 ( 239 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 465 ( 144 ~; 168 |; 133 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 23 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f643,plain,
$false,
inference(avatar_sat_refutation,[],[f313,f364,f378,f405,f410,f499,f513,f533,f543,f549,f567,f568,f607,f611,f623,f629,f631,f633,f636,f641]) ).
fof(f641,plain,
( ~ spl4_20
| spl4_22 ),
inference(avatar_split_clause,[],[f192,f380,f370]) ).
fof(f370,plain,
( spl4_20
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f380,plain,
( spl4_22
<=> sQ3_eqProxy(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f192,plain,
( sQ3_eqProxy(e2,op(e2,e2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f55,f152]) ).
fof(f152,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f55,plain,
( e2 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f636,plain,
( ~ spl4_20
| spl4_10 ),
inference(avatar_split_clause,[],[f191,f327,f370]) ).
fof(f327,plain,
( spl4_10
<=> sQ3_eqProxy(op(e0,e0),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f191,plain,
( sQ3_eqProxy(op(e0,e0),e2)
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f56,f152]) ).
fof(f56,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f633,plain,
( spl4_63
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f195,f310,f570]) ).
fof(f570,plain,
( spl4_63
<=> sQ3_eqProxy(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f310,plain,
( spl4_6
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f195,plain,
( ~ sP0
| sQ3_eqProxy(e1,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f60,f152]) ).
fof(f60,plain,
( e1 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| ~ sP0 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f631,plain,
( spl4_19
| spl4_6
| spl4_20
| spl4_24 ),
inference(avatar_split_clause,[],[f200,f388,f370,f310,f366]) ).
fof(f366,plain,
( spl4_19
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f388,plain,
( spl4_24
<=> sQ3_eqProxy(e0,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f200,plain,
( sQ3_eqProxy(e0,op(e2,e2))
| sP1
| sP0
| sP2 ),
inference(equality_proxy_replacement,[],[f67,f152]) ).
fof(f67,plain,
( e0 = op(e2,e2)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2) )
& ( e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e3,e3)
| op(e0,e0) != e1 )
& ( ( e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e0 = op(e0,e0) )
| sP2
| sP1
| sP0 )
& ( e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2
| e2 != op(e3,e3) )
& ( e3 != op(e3,e3)
| op(e0,e0) != e3
| e3 != op(e2,e2)
| e3 != op(e1,e1) ) ),
inference(definition_folding,[],[f11,f14,f13,f12]) ).
fof(f14,plain,
( ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2) )
& ( e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e3,e3)
| op(e0,e0) != e1 )
& ( ( e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ( e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2
| e2 != op(e3,e3) )
& ( e3 != op(e3,e3)
| op(e0,e0) != e3
| e3 != op(e2,e2)
| e3 != op(e1,e1) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ( ( e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ( e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2
| e2 != op(e3,e3) )
& ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2) )
& ( e3 != op(e3,e3)
| op(e0,e0) != e3
| e3 != op(e2,e2)
| e3 != op(e1,e1) )
& ( e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e3,e3)
| op(e0,e0) != e1 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ( e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ~ ( ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e1) )
| ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e1 = op(e1,e1)
& op(e0,e0) = e1
& e1 = op(e2,e2)
& e1 = op(e3,e3) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ~ ( ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e1) )
| ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e1 = op(e1,e1)
& op(e0,e0) = e1
& e1 = op(e2,e2)
& e1 = op(e3,e3) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e0 = op(e0,e0) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& op(e0,e0) = e2
& e2 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ~ ( ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e1) )
| ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e1 = op(e1,e1)
& op(e0,e0) = e1
& e1 = op(e2,e2)
& e1 = op(e3,e3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f629,plain,
( spl4_58
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f194,f310,f545]) ).
fof(f545,plain,
( spl4_58
<=> sQ3_eqProxy(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f194,plain,
( ~ sP0
| sQ3_eqProxy(e1,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f61,f152]) ).
fof(f61,plain,
( e1 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f623,plain,
( spl4_23
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f193,f310,f384]) ).
fof(f384,plain,
( spl4_23
<=> sQ3_eqProxy(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f193,plain,
( ~ sP0
| sQ3_eqProxy(e1,op(e2,e2)) ),
inference(equality_proxy_replacement,[],[f62,f152]) ).
fof(f62,plain,
( e1 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f611,plain,
( ~ spl4_58
| ~ spl4_5
| ~ spl4_63
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f198,f384,f570,f306,f545]) ).
fof(f306,plain,
( spl4_5
<=> sQ3_eqProxy(op(e0,e0),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f198,plain,
( ~ sQ3_eqProxy(e1,op(e2,e2))
| ~ sQ3_eqProxy(e1,op(e3,e3))
| ~ sQ3_eqProxy(op(e0,e0),e1)
| ~ sQ3_eqProxy(e1,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f69,f152,f152,f152,f152]) ).
fof(f69,plain,
( e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e3,e3)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f607,plain,
( spl4_15
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f186,f366,f349]) ).
fof(f349,plain,
( spl4_15
<=> sQ3_eqProxy(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f186,plain,
( ~ sP2
| sQ3_eqProxy(e3,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f53,f152]) ).
fof(f53,plain,
( e3 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f14]) ).
fof(f568,plain,
spl4_21,
inference(avatar_split_clause,[],[f236,f374]) ).
fof(f374,plain,
( spl4_21
<=> sQ3_eqProxy(e0,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f236,plain,
sQ3_eqProxy(e0,op(e1,e1)),
inference(equality_proxy_replacement,[],[f103,f152]) ).
fof(f103,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e0 = op(e1,e1)
& e2 = op(e3,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f567,plain,
( ~ spl4_19
| spl4_18 ),
inference(avatar_split_clause,[],[f185,f361,f366]) ).
fof(f361,plain,
( spl4_18
<=> sQ3_eqProxy(op(e0,e0),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f185,plain,
( sQ3_eqProxy(op(e0,e0),e3)
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f54,f152]) ).
fof(f54,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f549,plain,
( spl4_6
| spl4_20
| spl4_19
| spl4_30 ),
inference(avatar_split_clause,[],[f201,f417,f366,f370,f310]) ).
fof(f417,plain,
( spl4_30
<=> sQ3_eqProxy(e0,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f201,plain,
( sQ3_eqProxy(e0,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f66,f152]) ).
fof(f66,plain,
( e0 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f543,plain,
( ~ spl4_10
| ~ spl4_22
| ~ spl4_4
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f203,f407,f301,f380,f327]) ).
fof(f301,plain,
( spl4_4
<=> sQ3_eqProxy(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f407,plain,
( spl4_28
<=> sQ3_eqProxy(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f203,plain,
( ~ sQ3_eqProxy(e2,op(e1,e1))
| ~ sQ3_eqProxy(e2,op(e3,e3))
| ~ sQ3_eqProxy(e2,op(e2,e2))
| ~ sQ3_eqProxy(op(e0,e0),e2) ),
inference(equality_proxy_replacement,[],[f64,f152,f152,f152,f152]) ).
fof(f64,plain,
( e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f533,plain,
( ~ spl4_19
| spl4_17 ),
inference(avatar_split_clause,[],[f187,f357,f366]) ).
fof(f357,plain,
( spl4_17
<=> sQ3_eqProxy(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f187,plain,
( sQ3_eqProxy(e3,op(e2,e2))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f52,f152]) ).
fof(f52,plain,
( e3 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f513,plain,
( spl4_19
| spl4_20
| spl4_6
| spl4_29 ),
inference(avatar_split_clause,[],[f202,f412,f310,f370,f366]) ).
fof(f412,plain,
( spl4_29
<=> sQ3_eqProxy(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f202,plain,
( sQ3_eqProxy(e0,op(e0,e0))
| sP0
| sP1
| sP2 ),
inference(equality_proxy_replacement,[],[f65,f152]) ).
fof(f65,plain,
( e0 = op(e0,e0)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f499,plain,
( ~ spl4_21
| ~ spl4_30
| ~ spl4_29
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f197,f388,f412,f417,f374]) ).
fof(f197,plain,
( ~ sQ3_eqProxy(e0,op(e2,e2))
| ~ sQ3_eqProxy(e0,op(e0,e0))
| ~ sQ3_eqProxy(e0,op(e3,e3))
| ~ sQ3_eqProxy(e0,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f70,f152,f152,f152,f152]) ).
fof(f70,plain,
( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f410,plain,
( spl4_28
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f190,f370,f407]) ).
fof(f190,plain,
( ~ sP1
| sQ3_eqProxy(e2,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f57,f152]) ).
fof(f57,plain,
( e2 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f405,plain,
( ~ spl4_20
| spl4_4 ),
inference(avatar_split_clause,[],[f189,f301,f370]) ).
fof(f189,plain,
( sQ3_eqProxy(e2,op(e3,e3))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f58,f152]) ).
fof(f58,plain,
( e2 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f378,plain,
( spl4_16
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f188,f366,f353]) ).
fof(f353,plain,
( spl4_16
<=> sQ3_eqProxy(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f188,plain,
( ~ sP2
| sQ3_eqProxy(e3,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f51,f152]) ).
fof(f51,plain,
( e3 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f364,plain,
( ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f204,f361,f357,f353,f349]) ).
fof(f204,plain,
( ~ sQ3_eqProxy(op(e0,e0),e3)
| ~ sQ3_eqProxy(e3,op(e2,e2))
| ~ sQ3_eqProxy(e3,op(e3,e3))
| ~ sQ3_eqProxy(e3,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f63,f152,f152,f152,f152]) ).
fof(f63,plain,
( e3 != op(e3,e3)
| op(e0,e0) != e3
| e3 != op(e2,e2)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f313,plain,
( spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f196,f310,f306]) ).
fof(f196,plain,
( ~ sP0
| sQ3_eqProxy(op(e0,e0),e1) ),
inference(equality_proxy_replacement,[],[f59,f152]) ).
fof(f59,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:12:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (24710)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (24695)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50 % (24710)Instruction limit reached!
% 0.18/0.50 % (24710)------------------------------
% 0.18/0.50 % (24710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (24719)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (24704)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.51 % (24710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (24710)Termination reason: Unknown
% 0.18/0.51 % (24710)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (24710)Memory used [KB]: 6140
% 0.18/0.51 % (24710)Time elapsed: 0.008 s
% 0.18/0.51 % (24710)Instructions burned: 7 (million)
% 0.18/0.51 % (24710)------------------------------
% 0.18/0.51 % (24710)------------------------------
% 0.18/0.51 % (24711)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.52 % (24709)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52 % (24719)First to succeed.
% 1.31/0.52 % (24709)Instruction limit reached!
% 1.31/0.52 % (24709)------------------------------
% 1.31/0.52 % (24709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (24709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (24709)Termination reason: Unknown
% 1.31/0.52 % (24709)Termination phase: shuffling
% 1.31/0.52
% 1.31/0.52 % (24709)Memory used [KB]: 1535
% 1.31/0.52 % (24709)Time elapsed: 0.004 s
% 1.31/0.52 % (24709)Instructions burned: 5 (million)
% 1.31/0.52 % (24709)------------------------------
% 1.31/0.52 % (24709)------------------------------
% 1.31/0.52 % (24699)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.52 % (24700)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.31/0.52 % (24718)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.31/0.52 % (24721)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.52 % (24720)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.31/0.52 % (24722)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.52 % (24699)Instruction limit reached!
% 1.31/0.52 % (24699)------------------------------
% 1.31/0.52 % (24699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (24708)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53 % (24719)Refutation found. Thanks to Tanya!
% 1.31/0.53 % SZS status Theorem for theBenchmark
% 1.31/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.53 % (24719)------------------------------
% 1.31/0.53 % (24719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (24719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (24719)Termination reason: Refutation
% 1.31/0.53
% 1.31/0.53 % (24719)Memory used [KB]: 6140
% 1.31/0.53 % (24719)Time elapsed: 0.012 s
% 1.31/0.53 % (24719)Instructions burned: 9 (million)
% 1.31/0.53 % (24719)------------------------------
% 1.31/0.53 % (24719)------------------------------
% 1.31/0.53 % (24694)Success in time 0.184 s
%------------------------------------------------------------------------------