TSTP Solution File: SYN015-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n017.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 19:36:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 176 ( 2 unt; 0 def)
% Number of atoms : 595 ( 168 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 664 ( 245 ~; 400 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 20 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f514,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f37,f46,f57,f71,f74,f141,f196,f243,f249,f264,f272,f281,f291,f304,f351,f372,f374,f384,f393,f399,f402,f405,f483,f489,f513]) ).
fof(f513,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f511,f90]) ).
fof(f90,plain,
( element(n,m)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_9
<=> element(n,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f511,plain,
( ~ element(n,m)
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f508,f1]) ).
fof(f1,axiom,
m != n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_1) ).
fof(f508,plain,
( m = n
| ~ element(n,m)
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f506]) ).
fof(f506,plain,
( ~ element(n,m)
| n != n
| m = n
| ~ spl0_10 ),
inference(superposition,[],[f5,f97]) ).
fof(f97,plain,
( n = f(n)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_10
<=> n = f(n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f5,axiom,
! [X0] :
( f(X0) != X0
| m = X0
| ~ element(X0,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_5) ).
fof(f489,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f413,f39,f25,f89]) ).
fof(f25,plain,
( spl0_2
<=> m = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f39,plain,
( spl0_5
<=> element(n,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f413,plain,
( element(n,m)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f41,f27]) ).
fof(f27,plain,
( m = k
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f41,plain,
( element(n,k)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f483,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f482,f89,f25,f95]) ).
fof(f482,plain,
( n = f(n)
| ~ spl0_2
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f476,f1]) ).
fof(f476,plain,
( m = n
| n = f(n)
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f472,f90]) ).
fof(f472,plain,
( ! [X0] :
( ~ element(X0,m)
| n = f(X0)
| m = X0 )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f466,f4]) ).
fof(f4,axiom,
! [X0] :
( m != f(X0)
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_4) ).
fof(f466,plain,
( ! [X0] :
( n = f(X0)
| m = f(X0)
| ~ element(X0,m)
| m = X0 )
| ~ spl0_2 ),
inference(resolution,[],[f135,f424]) ).
fof(f424,plain,
( ! [X0] :
( ~ element(X0,m)
| n = X0
| m = X0 )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f419]) ).
fof(f419,plain,
( ! [X0] :
( m = X0
| m = X0
| n = X0
| ~ element(X0,m) )
| ~ spl0_2 ),
inference(superposition,[],[f16,f27]) ).
fof(f16,axiom,
! [X0] :
( ~ element(X0,k)
| m = X0
| k = X0
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
fof(f135,plain,
! [X2] :
( element(f(X2),m)
| ~ element(X2,m)
| m = X2 ),
inference(subsumption_resolution,[],[f134,f5]) ).
fof(f134,plain,
! [X2] :
( m = X2
| element(f(X2),m)
| ~ element(X2,m)
| f(X2) = X2 ),
inference(subsumption_resolution,[],[f133,f4]) ).
fof(f133,plain,
! [X2] :
( ~ element(X2,m)
| element(f(X2),m)
| m = f(X2)
| f(X2) = X2
| m = X2 ),
inference(subsumption_resolution,[],[f131,f7]) ).
fof(f7,axiom,
! [X0] :
( element(f(X0),X0)
| m = X0
| ~ element(X0,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_7) ).
fof(f131,plain,
! [X2] :
( m = X2
| ~ element(X2,m)
| ~ element(f(X2),X2)
| f(X2) = X2
| element(f(X2),m)
| m = f(X2) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f128,plain,
! [X2] :
( f(X2) = X2
| m = f(X2)
| element(f(X2),m)
| ~ element(f(X2),X2)
| m = X2
| ~ element(X2,m)
| m = X2 ),
inference(resolution,[],[f8,f6]) ).
fof(f6,axiom,
! [X0] :
( element(X0,f(X0))
| m = X0
| ~ element(X0,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_6) ).
fof(f8,axiom,
! [X0,X1] :
( ~ element(X1,X0)
| element(X0,m)
| m = X0
| m = X1
| X0 = X1
| ~ element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_8) ).
fof(f405,plain,
( spl0_16
| spl0_18
| spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f404,f162,f43,f166,f158]) ).
fof(f158,plain,
( spl0_16
<=> element(k,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f166,plain,
( spl0_18
<=> m = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f43,plain,
( spl0_6
<=> n = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f162,plain,
( spl0_17
<=> n = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f404,plain,
( n = k
| m = g(k)
| element(k,n)
| spl0_17 ),
inference(subsumption_resolution,[],[f403,f10]) ).
fof(f10,axiom,
! [X0] :
( g(X0) != X0
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
fof(f403,plain,
( k = g(k)
| m = g(k)
| n = k
| element(k,n)
| spl0_17 ),
inference(subsumption_resolution,[],[f104,f163]) ).
fof(f163,plain,
( n != g(k)
| spl0_17 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f104,plain,
( n = g(k)
| n = k
| k = g(k)
| m = g(k)
| element(k,n) ),
inference(resolution,[],[f16,f12]) ).
fof(f12,axiom,
! [X0] :
( element(g(X0),X0)
| n = X0
| element(X0,n) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
fof(f402,plain,
( ~ spl0_13
| spl0_14
| spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f401,f107,f25,f119,f115]) ).
fof(f115,plain,
( spl0_13
<=> element(k,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f119,plain,
( spl0_14
<=> n = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f107,plain,
( spl0_11
<=> m = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f401,plain,
( m = k
| n = f(k)
| ~ element(k,m)
| spl0_11 ),
inference(subsumption_resolution,[],[f400,f5]) ).
fof(f400,plain,
( m = k
| k = f(k)
| ~ element(k,m)
| n = f(k)
| spl0_11 ),
inference(subsumption_resolution,[],[f103,f108]) ).
fof(f108,plain,
( m != f(k)
| spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f103,plain,
( m = f(k)
| k = f(k)
| m = k
| n = f(k)
| ~ element(k,m) ),
inference(resolution,[],[f16,f7]) ).
fof(f399,plain,
( ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f396,f97]) ).
fof(f396,plain,
( n != f(n)
| ~ spl0_6
| spl0_12 ),
inference(forward_demodulation,[],[f112,f45]) ).
fof(f45,plain,
( n = k
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f112,plain,
( k != f(k)
| spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_12
<=> k = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f393,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| ~ spl0_6
| spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f391,f96]) ).
fof(f96,plain,
( n != f(n)
| spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f391,plain,
( n = f(n)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f121,f45]) ).
fof(f121,plain,
( n = f(k)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f384,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| ~ spl0_4
| spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f376,f117]) ).
fof(f117,plain,
( ~ element(k,m)
| spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f376,plain,
( element(k,m)
| ~ spl0_4
| ~ spl0_21 ),
inference(superposition,[],[f36,f181]) ).
fof(f181,plain,
( m = j
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_21
<=> m = j ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f36,plain,
( element(k,j)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_4
<=> element(k,j) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f374,plain,
( spl0_9
| spl0_21
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f373,f189,f64,f43,f34,f179,f89]) ).
fof(f64,plain,
( spl0_7
<=> n = j ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f189,plain,
( spl0_22
<=> element(j,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f373,plain,
( m = j
| element(n,m)
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f368,f1]) ).
fof(f368,plain,
( m = j
| m = n
| element(n,m)
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f367,f310]) ).
fof(f310,plain,
( element(n,j)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f36,f45]) ).
fof(f367,plain,
( ~ element(n,j)
| m = n
| m = j
| element(n,m)
| spl0_7
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f365,f65]) ).
fof(f65,plain,
( n != j
| spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f365,plain,
( m = j
| n = j
| ~ element(n,j)
| element(n,m)
| m = n
| ~ spl0_22 ),
inference(resolution,[],[f191,f8]) ).
fof(f191,plain,
( element(j,n)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f372,plain,
( ~ spl0_9
| ~ spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f313,f115,f43,f89]) ).
fof(f313,plain,
( ~ element(n,m)
| ~ spl0_6
| spl0_13 ),
inference(superposition,[],[f117,f45]) ).
fof(f351,plain,
( spl0_22
| ~ spl0_6
| spl0_7
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f350,f193,f64,f43,f189]) ).
fof(f193,plain,
( spl0_23
<=> k = g(j) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f350,plain,
( element(j,n)
| ~ spl0_6
| spl0_7
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f349,f65]) ).
fof(f349,plain,
( n = j
| element(j,n)
| ~ spl0_6
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f335,f45]) ).
fof(f335,plain,
( n != k
| element(j,n)
| n = j
| ~ spl0_23 ),
inference(superposition,[],[f9,f195]) ).
fof(f195,plain,
( k = g(j)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f9,axiom,
! [X0] :
( n != g(X0)
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_9) ).
fof(f304,plain,
( spl0_6
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| spl0_6
| spl0_16
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f302,f159]) ).
fof(f159,plain,
( ~ element(k,n)
| spl0_16 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f302,plain,
( element(k,n)
| spl0_6
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f297,f44]) ).
fof(f44,plain,
( n != k
| spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f297,plain,
( n = k
| element(k,n)
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f296]) ).
fof(f296,plain,
( element(k,n)
| n != n
| n = k
| ~ spl0_17 ),
inference(superposition,[],[f9,f164]) ).
fof(f164,plain,
( n = g(k)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f291,plain,
( spl0_6
| spl0_13
| spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl0_6
| spl0_13
| spl0_16
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f289,f44]) ).
fof(f289,plain,
( n = k
| spl0_13
| spl0_16
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f288,f117]) ).
fof(f288,plain,
( element(k,m)
| n = k
| spl0_16
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f285,f159]) ).
fof(f285,plain,
( element(k,n)
| n = k
| element(k,m)
| ~ spl0_18 ),
inference(superposition,[],[f11,f168]) ).
fof(f168,plain,
( m = g(k)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f11,axiom,
! [X0] :
( element(X0,g(X0))
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).
fof(f281,plain,
( spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f279,f26]) ).
fof(f26,plain,
( m != k
| spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f279,plain,
( m = k
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f278,f116]) ).
fof(f116,plain,
( element(k,m)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f278,plain,
( ~ element(k,m)
| m = k
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( m = k
| k != k
| ~ element(k,m)
| ~ spl0_12 ),
inference(superposition,[],[f5,f113]) ).
fof(f113,plain,
( k = f(k)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f272,plain,
( spl0_2
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| spl0_2
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f270,f116]) ).
fof(f270,plain,
( ~ element(k,m)
| spl0_2
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f269,f26]) ).
fof(f269,plain,
( m = k
| ~ element(k,m)
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( m = k
| m != m
| ~ element(k,m)
| ~ spl0_11 ),
inference(superposition,[],[f4,f109]) ).
fof(f109,plain,
( m = f(k)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f264,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl0_2
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(subsumption_resolution,[],[f262,f116]) ).
fof(f262,plain,
( ~ element(k,m)
| spl0_2
| ~ spl0_14
| spl0_16 ),
inference(subsumption_resolution,[],[f261,f26]) ).
fof(f261,plain,
( m = k
| ~ element(k,m)
| ~ spl0_14
| spl0_16 ),
inference(subsumption_resolution,[],[f258,f159]) ).
fof(f258,plain,
( element(k,n)
| m = k
| ~ element(k,m)
| ~ spl0_14 ),
inference(superposition,[],[f6,f121]) ).
fof(f249,plain,
( ~ spl0_16
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f248,f115,f43,f25,f21,f158]) ).
fof(f21,plain,
( spl0_1
<=> element(m,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f248,plain,
( ~ element(k,n)
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f247,f116]) ).
fof(f247,plain,
( ~ element(k,m)
| ~ element(k,n)
| ~ spl0_1
| spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f246,f44]) ).
fof(f246,plain,
( ~ element(k,m)
| ~ element(k,n)
| n = k
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f245,f1]) ).
fof(f245,plain,
( m = n
| ~ element(k,m)
| ~ element(k,n)
| n = k
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f210,f26]) ).
fof(f210,plain,
( m = n
| m = k
| ~ element(k,m)
| ~ element(k,n)
| n = k
| ~ spl0_1 ),
inference(resolution,[],[f13,f23]) ).
fof(f23,plain,
( element(m,k)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
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(f243,plain,
( spl0_13
| spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f242,f158,f43,f39,f25,f115]) ).
fof(f242,plain,
( element(k,m)
| spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f241,f160]) ).
fof(f160,plain,
( element(k,n)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f241,plain,
( element(k,m)
| ~ element(k,n)
| spl0_2
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f183,f44]) ).
fof(f183,plain,
( ~ element(k,n)
| element(k,m)
| n = k
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f136,f1]) ).
fof(f136,plain,
( ~ element(k,n)
| m = n
| element(k,m)
| n = k
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f127,f26]) ).
fof(f127,plain,
( m = k
| element(k,m)
| m = n
| ~ element(k,n)
| n = k
| ~ spl0_5 ),
inference(resolution,[],[f8,f41]) ).
fof(f196,plain,
( spl0_7
| spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f187,f193,f189,f64]) ).
fof(f187,plain,
( k = g(j)
| element(j,n)
| n = j ),
inference(subsumption_resolution,[],[f99,f10]) ).
fof(f99,plain,
( n = j
| k = g(j)
| j = g(j)
| element(j,n) ),
inference(resolution,[],[f12,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ element(X0,j)
| k = X0
| j = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_3) ).
fof(f141,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f139,f44]) ).
fof(f139,plain,
( n = k
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f138,f1]) ).
fof(f138,plain,
( m = n
| n = k
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f137,f117]) ).
fof(f137,plain,
( element(k,m)
| n = k
| m = n
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f136,f72]) ).
fof(f72,plain,
( element(k,n)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f36,f66]) ).
fof(f66,plain,
( n = j
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f74,plain,
( ~ spl0_6
| spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f73,f64,f30,f43]) ).
fof(f30,plain,
( spl0_3
<=> j = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f73,plain,
( n != k
| spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f31,f66]) ).
fof(f31,plain,
( j != k
| spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f71,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f69,f61]) ).
fof(f61,plain,
( m != j
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f26,f32]) ).
fof(f32,plain,
( j = k
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f69,plain,
( m = j
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f68,f26]) ).
fof(f68,plain,
( m = k
| m = j
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f60,f3]) ).
fof(f60,plain,
( element(m,j)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f23,f32]) ).
fof(f57,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f55,f1]) ).
fof(f55,plain,
( m = n
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f45,f27]) ).
fof(f46,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f43,f39]) ).
fof(f19,plain,
( n = k
| element(n,k) ),
inference(equality_resolution,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( n != X0
| element(X0,k)
| k = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).
fof(f37,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f34,f30]) ).
fof(f17,plain,
( element(k,j)
| j = k ),
inference(equality_resolution,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( j = X0
| k != X0
| element(X0,j) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_2) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f25,f21]) ).
fof(f18,plain,
( m = k
| element(m,k) ),
inference(equality_resolution,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( m != X0
| k = X0
| element(X0,k) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % 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 : n017.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 20:46:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12073)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (12090)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (12082)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (12072)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (12071)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (12068)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.55 % (12070)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55 % (12075)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 % (12077)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (12075)Instruction limit reached!
% 0.19/0.56 % (12075)------------------------------
% 0.19/0.56 % (12075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (12075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (12075)Termination reason: Unknown
% 0.19/0.56 % (12075)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (12075)Memory used [KB]: 5500
% 0.19/0.56 % (12075)Time elapsed: 0.153 s
% 0.19/0.56 % (12075)Instructions burned: 7 (million)
% 0.19/0.56 % (12075)------------------------------
% 0.19/0.56 % (12075)------------------------------
% 0.19/0.56 % (12077)Instruction limit reached!
% 0.19/0.56 % (12077)------------------------------
% 0.19/0.56 % (12077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (12077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (12077)Termination reason: Unknown
% 0.19/0.56 % (12077)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (12077)Memory used [KB]: 5373
% 0.19/0.56 % (12077)Time elapsed: 0.157 s
% 0.19/0.56 % (12077)Instructions burned: 2 (million)
% 0.19/0.56 % (12077)------------------------------
% 0.19/0.56 % (12077)------------------------------
% 0.19/0.56 % (12082)First to succeed.
% 0.19/0.56 % (12078)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (12082)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (12082)------------------------------
% 0.19/0.57 % (12082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12082)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (12082)Memory used [KB]: 5628
% 0.19/0.57 % (12082)Time elapsed: 0.152 s
% 0.19/0.57 % (12082)Instructions burned: 12 (million)
% 0.19/0.57 % (12082)------------------------------
% 0.19/0.57 % (12082)------------------------------
% 0.19/0.57 % (12063)Success in time 0.217 s
%------------------------------------------------------------------------------