TSTP Solution File: SYN015-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN015-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n026.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 19:25:12 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 151 ( 2 unt; 0 def)
% Number of atoms : 510 ( 155 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 567 ( 208 ~; 343 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 17 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f626,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f37,f46,f125,f139,f147,f152,f162,f174,f187,f199,f202,f228,f234,f297,f440,f484,f570,f587,f602,f625]) ).
fof(f625,plain,
( spl0_5
| spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| spl0_5
| spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f623,f409]) ).
fof(f409,plain,
( ~ element(k,n)
| spl0_17 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl0_17
<=> element(k,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f623,plain,
( element(k,n)
| spl0_5
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f612,f40]) ).
fof(f40,plain,
( n != k
| spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_5
<=> n = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f612,plain,
( n = k
| element(k,n)
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f607,plain,
( element(k,n)
| n = k
| element(k,n)
| ~ spl0_20 ),
inference(superposition,[],[f11,f435]) ).
fof(f435,plain,
( n = g(k)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl0_20
<=> n = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f11,axiom,
! [X0] :
( element(X0,g(X0))
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).
fof(f602,plain,
( spl0_5
| spl0_14
| spl0_17
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| spl0_5
| spl0_14
| spl0_17
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f600,f409]) ).
fof(f600,plain,
( element(k,n)
| spl0_5
| spl0_14
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f599,f138]) ).
fof(f138,plain,
( ~ element(k,m)
| spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl0_14
<=> element(k,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f599,plain,
( element(k,m)
| element(k,n)
| spl0_5
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f591,f40]) ).
fof(f591,plain,
( n = k
| element(k,n)
| element(k,m)
| ~ spl0_21 ),
inference(superposition,[],[f11,f439]) ).
fof(f439,plain,
( m = g(k)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl0_21
<=> m = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f587,plain,
( spl0_1
| spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| spl0_1
| spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f585,f22]) ).
fof(f22,plain,
( m != k
| spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_1
<=> m = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f585,plain,
( m = k
| spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f584,f410]) ).
fof(f410,plain,
( element(k,n)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f584,plain,
( m = k
| ~ element(k,n)
| spl0_5
| ~ spl0_6
| spl0_14 ),
inference(subsumption_resolution,[],[f583,f40]) ).
fof(f583,plain,
( n = k
| m = k
| ~ element(k,n)
| ~ spl0_6
| spl0_14 ),
inference(subsumption_resolution,[],[f582,f1]) ).
fof(f1,axiom,
m != n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_1) ).
fof(f582,plain,
( m = n
| n = k
| ~ element(k,n)
| m = k
| ~ spl0_6
| spl0_14 ),
inference(subsumption_resolution,[],[f260,f138]) ).
fof(f260,plain,
( element(k,m)
| n = k
| m = k
| ~ element(k,n)
| m = n
| ~ spl0_6 ),
inference(resolution,[],[f45,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ element(X1,X0)
| m = X1
| ~ element(X0,X1)
| X0 = X1
| m = X0
| element(X0,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_8) ).
fof(f45,plain,
( element(n,k)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_6
<=> element(n,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f570,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f569,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f562,f1]) ).
fof(f562,plain,
( m = n
| ~ spl0_1
| ~ spl0_6 ),
inference(resolution,[],[f551,f303]) ).
fof(f303,plain,
( element(n,m)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f45,f23]) ).
fof(f23,plain,
( m = k
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f551,plain,
( ! [X1] :
( ~ element(X1,m)
| m = X1 )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f549,f306]) ).
fof(f306,plain,
( ! [X0] :
( ~ element(X0,m)
| m = X0
| n = X0 )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
( ! [X0] :
( ~ element(X0,m)
| m = X0
| n = X0
| m = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f16,f23]) ).
fof(f16,axiom,
! [X0] :
( ~ element(X0,k)
| n = X0
| m = X0
| k = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
fof(f549,plain,
( ! [X1] :
( m = X1
| ~ element(X1,m)
| n != X1 )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f540]) ).
fof(f540,plain,
( ! [X1] :
( m = X1
| ~ element(X1,m)
| ~ element(X1,m)
| m = X1
| n != X1 )
| ~ spl0_1 ),
inference(superposition,[],[f5,f424]) ).
fof(f424,plain,
( ! [X0] :
( n = f(X0)
| m = X0
| ~ element(X0,m) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f420,f4]) ).
fof(f4,axiom,
! [X0] :
( m != f(X0)
| m = X0
| ~ element(X0,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_4) ).
fof(f420,plain,
( ! [X0] :
( n = f(X0)
| m = X0
| ~ element(X0,m)
| m = f(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f306,f78]) ).
fof(f78,plain,
! [X0] :
( element(f(X0),m)
| m = X0
| ~ element(X0,m) ),
inference(subsumption_resolution,[],[f77,f5]) ).
fof(f77,plain,
! [X0] :
( f(X0) = X0
| m = X0
| ~ element(X0,m)
| element(f(X0),m) ),
inference(subsumption_resolution,[],[f76,f7]) ).
fof(f7,axiom,
! [X0] :
( element(f(X0),X0)
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_7) ).
fof(f76,plain,
! [X0] :
( ~ element(f(X0),X0)
| ~ element(X0,m)
| m = X0
| element(f(X0),m)
| f(X0) = X0 ),
inference(subsumption_resolution,[],[f71,f4]) ).
fof(f71,plain,
! [X0] :
( ~ element(X0,m)
| m = f(X0)
| m = X0
| ~ element(f(X0),X0)
| element(f(X0),m)
| f(X0) = X0 ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
! [X0] :
( m = X0
| m = f(X0)
| ~ element(f(X0),X0)
| ~ element(X0,m)
| m = X0
| f(X0) = X0
| element(f(X0),m) ),
inference(resolution,[],[f8,f6]) ).
fof(f6,axiom,
! [X0] :
( element(X0,f(X0))
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_6) ).
fof(f5,axiom,
! [X0] :
( f(X0) != X0
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_5) ).
fof(f484,plain,
( spl0_5
| spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl0_5
| spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f482,f409]) ).
fof(f482,plain,
( element(k,n)
| spl0_5
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f477,f40]) ).
fof(f477,plain,
( n = k
| element(k,n)
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f475,plain,
( element(k,n)
| k != k
| n = k
| ~ spl0_19 ),
inference(superposition,[],[f10,f431]) ).
fof(f431,plain,
( k = g(k)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl0_19
<=> k = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,axiom,
! [X0] :
( g(X0) != X0
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
fof(f440,plain,
( spl0_19
| spl0_20
| spl0_17
| spl0_21
| spl0_5 ),
inference(avatar_split_clause,[],[f280,f39,f437,f408,f433,f429]) ).
fof(f280,plain,
( m = g(k)
| element(k,n)
| n = g(k)
| k = g(k)
| spl0_5 ),
inference(subsumption_resolution,[],[f57,f40]) ).
fof(f57,plain,
( n = k
| element(k,n)
| m = g(k)
| k = g(k)
| n = g(k) ),
inference(resolution,[],[f16,f12]) ).
fof(f12,axiom,
! [X0] :
( element(g(X0),X0)
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
fof(f297,plain,
( spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f287,f136,f132,f39,f25,f21]) ).
fof(f25,plain,
( spl0_2
<=> element(m,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f132,plain,
( spl0_13
<=> n = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f287,plain,
( m = k
| ~ spl0_2
| spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f286,f276]) ).
fof(f276,plain,
( m = k
| element(k,n)
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f271,f137]) ).
fof(f137,plain,
( element(k,m)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f271,plain,
( element(k,n)
| ~ element(k,m)
| m = k
| ~ spl0_13 ),
inference(superposition,[],[f6,f134]) ).
fof(f134,plain,
( n = f(k)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f286,plain,
( m = k
| ~ element(k,n)
| ~ spl0_2
| spl0_5
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f285,f40]) ).
fof(f285,plain,
( ~ element(k,n)
| m = k
| n = k
| ~ spl0_2
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f284,f1]) ).
fof(f284,plain,
( m = k
| ~ element(k,n)
| m = n
| n = k
| ~ spl0_2
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f81,f137]) ).
fof(f81,plain,
( m = k
| m = n
| n = k
| ~ element(k,m)
| ~ element(k,n)
| ~ spl0_2 ),
inference(resolution,[],[f13,f27]) ).
fof(f27,plain,
( element(m,k)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f13,axiom,
! [X2,X0] :
( ~ element(X2,X0)
| ~ element(X0,n)
| n = X0
| ~ element(X0,X2)
| n = X2
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_13) ).
fof(f234,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f232,f124]) ).
fof(f124,plain,
( n = j
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl0_12
<=> n = j ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f232,plain,
( n != j
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f35,f41]) ).
fof(f41,plain,
( n = k
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f35,plain,
( j != k
| spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_4
<=> j = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f228,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(subsumption_resolution,[],[f226,f106]) ).
fof(f106,plain,
( m != j
| spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_8
<=> m = j ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f226,plain,
( m = j
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f221,f22]) ).
fof(f221,plain,
( m = k
| m = j
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f197,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ element(X0,j)
| k = X0
| j = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_3) ).
fof(f197,plain,
( element(m,j)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f27,f36]) ).
fof(f36,plain,
( j = k
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f202,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f196,f39,f34,f122]) ).
fof(f196,plain,
( n = j
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f41,f36]) ).
fof(f199,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f194,f107]) ).
fof(f107,plain,
( m = j
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f194,plain,
( m != j
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f22,f36]) ).
fof(f187,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f185,f154]) ).
fof(f154,plain,
( element(k,m)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f32,f107]) ).
fof(f32,plain,
( element(k,j)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_3
<=> element(k,j) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f185,plain,
( ~ element(k,m)
| spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f184,f41]) ).
fof(f184,plain,
( n != k
| ~ element(k,m)
| spl0_1
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f180,f22]) ).
fof(f180,plain,
( m = k
| n != k
| ~ element(k,m)
| ~ spl0_13 ),
inference(superposition,[],[f5,f134]) ).
fof(f174,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f165,f1]) ).
fof(f165,plain,
( m = n
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f41,f23]) ).
fof(f162,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| spl0_14 ),
inference(subsumption_resolution,[],[f155,f140]) ).
fof(f140,plain,
( ~ element(n,m)
| ~ spl0_5
| spl0_14 ),
inference(superposition,[],[f138,f41]) ).
fof(f155,plain,
( element(n,m)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f47,f107]) ).
fof(f47,plain,
( element(n,j)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f32,f41]) ).
fof(f152,plain,
( spl0_12
| spl0_8
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f148,f118,f39,f105,f122]) ).
fof(f118,plain,
( spl0_11
<=> element(j,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f148,plain,
( m = j
| n = j
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f120,f59]) ).
fof(f59,plain,
( ! [X0] :
( ~ element(X0,n)
| n = X0
| m = X0 )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f58,plain,
( ! [X0] :
( m = X0
| n = X0
| ~ element(X0,n)
| n = X0 )
| ~ spl0_5 ),
inference(superposition,[],[f16,f41]) ).
fof(f120,plain,
( element(j,n)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f147,plain,
( spl0_12
| spl0_11
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f130,f114,f39,f118,f122]) ).
fof(f114,plain,
( spl0_10
<=> k = g(j) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f130,plain,
( element(j,n)
| n = j
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f129,f41]) ).
fof(f129,plain,
( element(j,n)
| n != k
| n = j
| ~ spl0_10 ),
inference(superposition,[],[f9,f116]) ).
fof(f116,plain,
( k = g(j)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f9,axiom,
! [X0] :
( n != g(X0)
| n = X0
| element(X0,n) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_9) ).
fof(f139,plain,
( spl0_1
| spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f61,f136,f132,f21]) ).
fof(f61,plain,
( ~ element(k,m)
| n = f(k)
| m = k ),
inference(subsumption_resolution,[],[f60,f5]) ).
fof(f60,plain,
( k = f(k)
| n = f(k)
| ~ element(k,m)
| m = k ),
inference(subsumption_resolution,[],[f56,f4]) ).
fof(f56,plain,
( n = f(k)
| ~ element(k,m)
| m = k
| m = f(k)
| k = f(k) ),
inference(resolution,[],[f16,f7]) ).
fof(f125,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f122,f118,f114]) ).
fof(f54,plain,
( n = j
| element(j,n)
| k = g(j) ),
inference(subsumption_resolution,[],[f53,f10]) ).
fof(f53,plain,
( k = g(j)
| element(j,n)
| n = j
| j = g(j) ),
inference(resolution,[],[f12,f3]) ).
fof(f46,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f43,f39]) ).
fof(f19,plain,
( element(n,k)
| n = k ),
inference(equality_resolution,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( element(X0,k)
| n != X0
| k = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).
fof(f37,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f34,f30]) ).
fof(f18,plain,
( j = k
| element(k,j) ),
inference(equality_resolution,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( j = X0
| element(X0,j)
| k != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_2) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f25,f21]) ).
fof(f17,plain,
( element(m,k)
| m = k ),
inference(equality_resolution,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( k = X0
| element(X0,k)
| m != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.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 : Tue Aug 30 21:43:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (5425)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.49 % (5403)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49 % (5418)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (5412)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [4]
% 0.19/0.50 % (5421)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.50 % (5408)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 % (5418)Instruction limit reached!
% 0.19/0.50 % (5418)------------------------------
% 0.19/0.50 % (5418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5418)Termination reason: Unknown
% 0.19/0.50 % (5418)Termination phase: Finite model building constraint generation
% 0.19/0.50
% 0.19/0.50 % (5418)Memory used [KB]: 5884
% 0.19/0.50 % (5418)Time elapsed: 0.067 s
% 0.19/0.50 % (5418)Instructions burned: 8 (million)
% 0.19/0.50 % (5418)------------------------------
% 0.19/0.50 % (5418)------------------------------
% 0.19/0.51 % (5405)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (5419)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (5405)Instruction limit reached!
% 0.19/0.51 % (5405)------------------------------
% 0.19/0.51 % (5405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5405)Termination reason: Unknown
% 0.19/0.51 % (5405)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (5405)Memory used [KB]: 5884
% 0.19/0.51 % (5405)Time elapsed: 0.119 s
% 0.19/0.51 % (5405)Instructions burned: 4 (million)
% 0.19/0.51 % (5405)------------------------------
% 0.19/0.51 % (5405)------------------------------
% 0.19/0.51 % (5409)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (5414)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (5412)First to succeed.
% 0.19/0.52 % (5413)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (5420)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (5432)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (5430)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53 % (5406)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53 % (5431)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53 % (5404)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.53 % (5429)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53 % (5412)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (5412)------------------------------
% 0.19/0.53 % (5412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5412)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (5412)Memory used [KB]: 6140
% 0.19/0.53 % (5412)Time elapsed: 0.080 s
% 0.19/0.53 % (5412)Instructions burned: 16 (million)
% 0.19/0.53 % (5412)------------------------------
% 0.19/0.53 % (5412)------------------------------
% 0.19/0.53 % (5400)Success in time 0.179 s
%------------------------------------------------------------------------------