TSTP Solution File: GRP334-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n009.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 16:21:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 56
% Syntax : Number of formulae : 289 ( 42 unt; 0 def)
% Number of atoms : 914 ( 329 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1199 ( 574 ~; 607 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2015,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f75,f80,f89,f98,f103,f104,f105,f106,f107,f108,f109,f110,f124,f125,f126,f127,f128,f129,f130,f131,f132,f181,f183,f191,f200,f271,f438,f508,f792,f837,f962,f1672,f1796,f1809,f1813,f1969,f1999]) ).
fof(f1999,plain,
( spl13_17
| ~ spl13_1
| ~ spl13_4
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f1056,f121,f95,f82,f77,f63,f193]) ).
fof(f193,plain,
( spl13_17
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f63,plain,
( spl13_1
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f77,plain,
( spl13_4
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f82,plain,
( spl13_5
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f95,plain,
( spl13_8
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f121,plain,
( spl13_13
<=> sk_c5 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1056,plain,
( identity = sk_c6
| ~ spl13_1
| ~ spl13_4
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(forward_demodulation,[],[f1039,f862]) ).
fof(f862,plain,
( identity = sk_c7
| ~ spl13_4
| ~ spl13_8 ),
inference(forward_demodulation,[],[f861,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f861,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl13_4
| ~ spl13_8 ),
inference(forward_demodulation,[],[f860,f97]) ).
fof(f97,plain,
( sk_c6 = sF2
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f860,plain,
( sk_c7 = multiply(inverse(sF2),sk_c6)
| ~ spl13_4 ),
inference(forward_demodulation,[],[f854,f79]) ).
fof(f79,plain,
( sk_c7 = sF4
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f854,plain,
multiply(inverse(sF2),sk_c6) = sF4,
inference(superposition,[],[f237,f364]) ).
fof(f364,plain,
sk_c6 = multiply(sF2,sF4),
inference(forward_demodulation,[],[f314,f30]) ).
fof(f30,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f314,plain,
sk_c6 = multiply(inverse(sk_c1),sF4),
inference(superposition,[],[f237,f33]) ).
fof(f33,plain,
multiply(sk_c1,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f237,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f205,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f205,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = multiply(identity,X11),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1039,plain,
( sk_c6 = sk_c7
| ~ spl13_1
| ~ spl13_5
| ~ spl13_13 ),
inference(superposition,[],[f678,f793]) ).
fof(f793,plain,
( sk_c6 = multiply(sF6,sk_c5)
| ~ spl13_1
| ~ spl13_5 ),
inference(forward_demodulation,[],[f786,f37]) ).
fof(f37,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f786,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl13_1
| ~ spl13_5 ),
inference(superposition,[],[f237,f684]) ).
fof(f684,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl13_1
| ~ spl13_5 ),
inference(forward_demodulation,[],[f683,f65]) ).
fof(f65,plain,
( sk_c6 = sF8
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f683,plain,
( sk_c5 = multiply(sF8,sk_c6)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f332,f84]) ).
fof(f84,plain,
( sk_c6 = sF0
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f332,plain,
sk_c5 = multiply(sF8,sF0),
inference(forward_demodulation,[],[f316,f41]) ).
fof(f41,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f316,plain,
sk_c5 = multiply(inverse(sk_c2),sF0),
inference(superposition,[],[f237,f27]) ).
fof(f27,plain,
multiply(sk_c2,sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f678,plain,
( sk_c7 = multiply(sF6,sk_c5)
| ~ spl13_13 ),
inference(forward_demodulation,[],[f370,f37]) ).
fof(f370,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl13_13 ),
inference(forward_demodulation,[],[f306,f122]) ).
fof(f122,plain,
( sk_c5 = sF12
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f306,plain,
sk_c7 = multiply(inverse(sk_c6),sF12),
inference(superposition,[],[f237,f49]) ).
fof(f49,plain,
multiply(sk_c6,sk_c7) = sF12,
introduced(function_definition,[]) ).
fof(f1969,plain,
( spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1968,plain,
( $false
| spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17 ),
inference(trivial_inequality_removal,[],[f1967]) ).
fof(f1967,plain,
( identity != identity
| spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17 ),
inference(superposition,[],[f1830,f1945]) ).
fof(f1945,plain,
( identity = sF1
| ~ spl13_4
| ~ spl13_8
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1944,f194]) ).
fof(f194,plain,
( identity = sk_c6
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f1944,plain,
( sk_c6 = sF1
| ~ spl13_4
| ~ spl13_8
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1943,f97]) ).
fof(f1943,plain,
( sF2 = sF1
| ~ spl13_4
| ~ spl13_8
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1927,f905]) ).
fof(f905,plain,
( sF1 = inverse(identity)
| ~ spl13_4
| ~ spl13_8 ),
inference(superposition,[],[f28,f862]) ).
fof(f28,plain,
inverse(sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f1927,plain,
( sF2 = inverse(identity)
| ~ spl13_8
| ~ spl13_17 ),
inference(superposition,[],[f30,f1137]) ).
fof(f1137,plain,
( identity = sk_c1
| ~ spl13_8
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1135,f2]) ).
fof(f1135,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl13_8
| ~ spl13_17 ),
inference(superposition,[],[f237,f882]) ).
fof(f882,plain,
( identity = multiply(identity,sk_c1)
| ~ spl13_8
| ~ spl13_17 ),
inference(superposition,[],[f688,f194]) ).
fof(f688,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl13_8 ),
inference(superposition,[],[f135,f97]) ).
fof(f135,plain,
identity = multiply(sF2,sk_c1),
inference(superposition,[],[f2,f30]) ).
fof(f1830,plain,
( identity != sF1
| spl13_3
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f73,f885]) ).
fof(f885,plain,
( identity = sk_c5
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f884,f194]) ).
fof(f884,plain,
( sk_c6 = sk_c5
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f877,f146]) ).
fof(f146,plain,
sk_c6 = sF9(identity),
inference(superposition,[],[f1,f46]) ).
fof(f46,plain,
! [X3] : multiply(X3,sk_c6) = sF9(X3),
introduced(function_definition,[]) ).
fof(f877,plain,
( sk_c5 = sF9(identity)
| ~ spl13_15
| ~ spl13_17 ),
inference(superposition,[],[f179,f194]) ).
fof(f179,plain,
( sk_c5 = sF9(sk_c6)
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl13_15
<=> sk_c5 = sF9(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f73,plain,
( sk_c5 != sF1
| spl13_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl13_3
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f1813,plain,
( ~ spl13_17
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f1812,f197,f193,f178,f95,f77,f72,f193]) ).
fof(f197,plain,
( spl13_18
<=> sk_c6 = inverse(inverse(sk_c5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1812,plain,
( identity != sk_c6
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17
| spl13_18 ),
inference(forward_demodulation,[],[f1811,f1681]) ).
fof(f1681,plain,
( identity = inverse(identity)
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1680,f885]) ).
fof(f1680,plain,
( sk_c5 = inverse(identity)
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8 ),
inference(forward_demodulation,[],[f905,f74]) ).
fof(f74,plain,
( sk_c5 = sF1
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f1811,plain,
( sk_c6 != inverse(identity)
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| ~ spl13_17
| spl13_18 ),
inference(forward_demodulation,[],[f1810,f1681]) ).
fof(f1810,plain,
( sk_c6 != inverse(inverse(identity))
| ~ spl13_15
| ~ spl13_17
| spl13_18 ),
inference(forward_demodulation,[],[f199,f885]) ).
fof(f199,plain,
( sk_c6 != inverse(inverse(sk_c5))
| spl13_18 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f1809,plain,
( ~ spl13_17
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| spl13_16
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f1808,f193,f188,f178,f95,f77,f72,f67,f63,f193]) ).
fof(f67,plain,
( spl13_2
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f188,plain,
( spl13_16
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f1808,plain,
( identity != sk_c6
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_15
| spl13_16
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1807,f1681]) ).
fof(f1807,plain,
( sk_c6 != inverse(identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_8
| spl13_16
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1806,f1683]) ).
fof(f1683,plain,
( identity = sk_c3
| ~ spl13_2
| ~ spl13_8
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1075,f1137]) ).
fof(f1075,plain,
( sk_c1 = sk_c3
| ~ spl13_2
| ~ spl13_8 ),
inference(superposition,[],[f338,f850]) ).
fof(f850,plain,
( sk_c1 = multiply(sF6,identity)
| ~ spl13_8 ),
inference(forward_demodulation,[],[f848,f37]) ).
fof(f848,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl13_8 ),
inference(superposition,[],[f237,f688]) ).
fof(f338,plain,
( sk_c3 = multiply(sF6,identity)
| ~ spl13_2 ),
inference(forward_demodulation,[],[f309,f37]) ).
fof(f309,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl13_2 ),
inference(superposition,[],[f237,f139]) ).
fof(f139,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl13_2 ),
inference(forward_demodulation,[],[f136,f69]) ).
fof(f69,plain,
( sk_c6 = sF7
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f136,plain,
identity = multiply(sF7,sk_c3),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
inverse(sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f1806,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl13_1
| ~ spl13_2
| spl13_16 ),
inference(forward_demodulation,[],[f190,f803]) ).
fof(f803,plain,
( sk_c3 = sk_c2
| ~ spl13_1
| ~ spl13_2 ),
inference(forward_demodulation,[],[f802,f338]) ).
fof(f802,plain,
( sk_c2 = multiply(sF6,identity)
| ~ spl13_1 ),
inference(forward_demodulation,[],[f799,f37]) ).
fof(f799,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl13_1 ),
inference(superposition,[],[f237,f687]) ).
fof(f687,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl13_1 ),
inference(superposition,[],[f137,f65]) ).
fof(f137,plain,
identity = multiply(sF8,sk_c2),
inference(superposition,[],[f2,f41]) ).
fof(f190,plain,
( sk_c6 != inverse(sk_c2)
| spl13_16 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f1796,plain,
( ~ spl13_17
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f1795,f193,f178,f174,f95,f77,f72,f193]) ).
fof(f174,plain,
( spl13_14
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f1795,plain,
( identity != sk_c6
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f176,f1681]) ).
fof(f176,plain,
( sk_c6 != inverse(identity)
| spl13_14 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f1672,plain,
( ~ spl13_17
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f1669,f193,f178,f174,f118,f95,f77,f193]) ).
fof(f118,plain,
( spl13_12
<=> ! [X3] :
( sk_c7 != sF9(X3)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f1669,plain,
( identity != sk_c6
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(superposition,[],[f1664,f175]) ).
fof(f175,plain,
( sk_c6 = inverse(identity)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f1664,plain,
( identity != inverse(identity)
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_15
| ~ spl13_17 ),
inference(trivial_inequality_removal,[],[f1663]) ).
fof(f1663,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1662,f885]) ).
fof(f1662,plain,
( identity != inverse(identity)
| identity != sk_c5
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_15
| ~ spl13_17 ),
inference(forward_demodulation,[],[f1656,f194]) ).
fof(f1656,plain,
( identity != inverse(sk_c6)
| identity != sk_c5
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_15
| ~ spl13_17 ),
inference(superposition,[],[f992,f179]) ).
fof(f992,plain,
( ! [X3] :
( identity != sF9(X3)
| identity != inverse(X3) )
| ~ spl13_4
| ~ spl13_8
| ~ spl13_12
| ~ spl13_17 ),
inference(forward_demodulation,[],[f991,f862]) ).
fof(f991,plain,
( ! [X3] :
( sk_c7 != sF9(X3)
| identity != inverse(X3) )
| ~ spl13_12
| ~ spl13_17 ),
inference(forward_demodulation,[],[f119,f194]) ).
fof(f119,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != sF9(X3) )
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f962,plain,
( spl13_7
| ~ spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| spl13_7
| ~ spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(trivial_inequality_removal,[],[f960]) ).
fof(f960,plain,
( identity != identity
| spl13_7
| ~ spl13_14
| ~ spl13_15
| ~ spl13_17 ),
inference(superposition,[],[f926,f885]) ).
fof(f926,plain,
( identity != sk_c5
| spl13_7
| ~ spl13_14
| ~ spl13_17 ),
inference(superposition,[],[f92,f887]) ).
fof(f887,plain,
( identity = sF6
| ~ spl13_14
| ~ spl13_17 ),
inference(forward_demodulation,[],[f886,f194]) ).
fof(f886,plain,
( sk_c6 = sF6
| ~ spl13_14
| ~ spl13_17 ),
inference(forward_demodulation,[],[f870,f175]) ).
fof(f870,plain,
( sF6 = inverse(identity)
| ~ spl13_17 ),
inference(superposition,[],[f37,f194]) ).
fof(f92,plain,
( sk_c5 != sF6
| spl13_7 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl13_7
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f837,plain,
( spl13_7
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f832,f121,f86,f82,f77,f72,f67,f63,f91]) ).
fof(f86,plain,
( spl13_6
<=> sk_c4 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f832,plain,
( sk_c5 = sF6
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_13 ),
inference(superposition,[],[f37,f827]) ).
fof(f827,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_13 ),
inference(forward_demodulation,[],[f822,f74]) ).
fof(f822,plain,
( inverse(sk_c6) = sF1
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_13 ),
inference(superposition,[],[f28,f821]) ).
fof(f821,plain,
( sk_c6 = sk_c7
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_13 ),
inference(superposition,[],[f747,f815]) ).
fof(f815,plain,
( sk_c6 = sF11(sk_c3)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_5 ),
inference(forward_demodulation,[],[f808,f84]) ).
fof(f808,plain,
( sF11(sk_c3) = sF0
| ~ spl13_1
| ~ spl13_2 ),
inference(superposition,[],[f162,f803]) ).
fof(f162,plain,
sF0 = sF11(sk_c2),
inference(superposition,[],[f27,f48]) ).
fof(f48,plain,
! [X4] : multiply(X4,sk_c5) = sF11(X4),
introduced(function_definition,[]) ).
fof(f747,plain,
( sk_c7 = sF11(sk_c3)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_13 ),
inference(forward_demodulation,[],[f746,f1]) ).
fof(f746,plain,
( multiply(identity,sk_c7) = sF11(sk_c3)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_13 ),
inference(forward_demodulation,[],[f745,f348]) ).
fof(f348,plain,
( identity = sk_c4
| ~ spl13_2
| ~ spl13_6 ),
inference(forward_demodulation,[],[f307,f2]) ).
fof(f307,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl13_2
| ~ spl13_6 ),
inference(superposition,[],[f237,f243]) ).
fof(f243,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl13_2
| ~ spl13_6 ),
inference(forward_demodulation,[],[f239,f88]) ).
fof(f88,plain,
( sk_c4 = sF3
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f239,plain,
( sk_c6 = multiply(sk_c6,sF3)
| ~ spl13_2 ),
inference(superposition,[],[f225,f32]) ).
fof(f32,plain,
multiply(sk_c3,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f225,plain,
( ! [X15] : multiply(sk_c6,multiply(sk_c3,X15)) = X15
| ~ spl13_2 ),
inference(forward_demodulation,[],[f209,f1]) ).
fof(f209,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c6,multiply(sk_c3,X15))
| ~ spl13_2 ),
inference(superposition,[],[f3,f139]) ).
fof(f745,plain,
( multiply(sk_c4,sk_c7) = sF11(sk_c3)
| ~ spl13_4
| ~ spl13_6
| ~ spl13_13 ),
inference(forward_demodulation,[],[f744,f79]) ).
fof(f744,plain,
( sF11(sk_c3) = multiply(sk_c4,sF4)
| ~ spl13_4
| ~ spl13_6
| ~ spl13_13 ),
inference(forward_demodulation,[],[f743,f48]) ).
fof(f743,plain,
( multiply(sk_c4,sF4) = multiply(sk_c3,sk_c5)
| ~ spl13_4
| ~ spl13_6
| ~ spl13_13 ),
inference(forward_demodulation,[],[f733,f713]) ).
fof(f713,plain,
( sk_c5 = sF10(sk_c1)
| ~ spl13_4
| ~ spl13_13 ),
inference(forward_demodulation,[],[f712,f122]) ).
fof(f712,plain,
( sF10(sk_c1) = sF12
| ~ spl13_4 ),
inference(forward_demodulation,[],[f711,f49]) ).
fof(f711,plain,
( multiply(sk_c6,sk_c7) = sF10(sk_c1)
| ~ spl13_4 ),
inference(superposition,[],[f165,f79]) ).
fof(f165,plain,
sF10(sk_c1) = multiply(sk_c6,sF4),
inference(superposition,[],[f47,f149]) ).
fof(f149,plain,
sF9(sk_c1) = sF4,
inference(superposition,[],[f33,f46]) ).
fof(f47,plain,
! [X6] : multiply(sk_c6,sF9(X6)) = sF10(X6),
introduced(function_definition,[]) ).
fof(f733,plain,
( multiply(sk_c4,sF4) = multiply(sk_c3,sF10(sk_c1))
| ~ spl13_6 ),
inference(superposition,[],[f228,f165]) ).
fof(f228,plain,
( ! [X22] : multiply(sk_c3,multiply(sk_c6,X22)) = multiply(sk_c4,X22)
| ~ spl13_6 ),
inference(forward_demodulation,[],[f215,f88]) ).
fof(f215,plain,
! [X22] : multiply(sk_c3,multiply(sk_c6,X22)) = multiply(sF3,X22),
inference(superposition,[],[f3,f32]) ).
fof(f792,plain,
( spl13_15
| ~ spl13_1
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f783,f82,f63,f178]) ).
fof(f783,plain,
( sk_c5 = sF9(sk_c6)
| ~ spl13_1
| ~ spl13_5 ),
inference(superposition,[],[f684,f46]) ).
fof(f508,plain,
( ~ spl13_17
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_12
| ~ spl13_17
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f507,f197,f193,f118,f100,f91,f86,f72,f67,f193]) ).
fof(f100,plain,
( spl13_9
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f507,plain,
( identity != sk_c6
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_12
| ~ spl13_17
| ~ spl13_18 ),
inference(forward_demodulation,[],[f503,f457]) ).
fof(f457,plain,
( identity = inverse(identity)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_17
| ~ spl13_18 ),
inference(superposition,[],[f275,f194]) ).
fof(f275,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_18 ),
inference(forward_demodulation,[],[f274,f250]) ).
fof(f250,plain,
( sk_c6 = sk_c5
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9 ),
inference(superposition,[],[f102,f247]) ).
fof(f247,plain,
( sk_c6 = sF5
| ~ spl13_2
| ~ spl13_6 ),
inference(superposition,[],[f35,f243]) ).
fof(f35,plain,
multiply(sk_c6,sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f102,plain,
( sk_c5 = sF5
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f274,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_18 ),
inference(forward_demodulation,[],[f273,f93]) ).
fof(f93,plain,
( sk_c5 = sF6
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f273,plain,
( sk_c6 = inverse(sF6)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| ~ spl13_18 ),
inference(forward_demodulation,[],[f272,f37]) ).
fof(f272,plain,
( sk_c6 = inverse(inverse(sk_c6))
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| ~ spl13_18 ),
inference(forward_demodulation,[],[f198,f250]) ).
fof(f198,plain,
( sk_c6 = inverse(inverse(sk_c5))
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f503,plain,
( sk_c6 != inverse(identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_12 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f497,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_12 ),
inference(superposition,[],[f420,f146]) ).
fof(f420,plain,
( ! [X3] :
( sk_c6 != sF9(X3)
| sk_c6 != inverse(X3) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_12 ),
inference(forward_demodulation,[],[f119,f337]) ).
fof(f337,plain,
( sk_c6 = sk_c7
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f336,f331]) ).
fof(f331,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f330,f250]) ).
fof(f330,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f329,f93]) ).
fof(f329,plain,
( sk_c6 = multiply(sF6,identity)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f328,f37]) ).
fof(f328,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f313,f250]) ).
fof(f313,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl13_7 ),
inference(superposition,[],[f237,f140]) ).
fof(f140,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl13_7 ),
inference(forward_demodulation,[],[f133,f93]) ).
fof(f133,plain,
identity = multiply(sF6,sk_c6),
inference(superposition,[],[f2,f37]) ).
fof(f336,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f335,f250]) ).
fof(f335,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f334,f93]) ).
fof(f334,plain,
( sk_c7 = multiply(sF6,identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_9 ),
inference(forward_demodulation,[],[f305,f37]) ).
fof(f305,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_9 ),
inference(superposition,[],[f237,f253]) ).
fof(f253,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_9 ),
inference(superposition,[],[f138,f250]) ).
fof(f138,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl13_3 ),
inference(forward_demodulation,[],[f134,f74]) ).
fof(f134,plain,
identity = multiply(sF1,sk_c7),
inference(superposition,[],[f2,f28]) ).
fof(f438,plain,
( spl13_17
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f425,f121,f100,f91,f86,f72,f67,f193]) ).
fof(f425,plain,
( identity = sk_c6
| ~ spl13_2
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_13 ),
inference(superposition,[],[f337,f372]) ).
fof(f372,plain,
( identity = sk_c7
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| ~ spl13_13 ),
inference(forward_demodulation,[],[f371,f2]) ).
fof(f371,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| ~ spl13_13 ),
inference(forward_demodulation,[],[f370,f250]) ).
fof(f271,plain,
( ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(trivial_inequality_removal,[],[f269]) ).
fof(f269,plain,
( sk_c6 != sk_c6
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(superposition,[],[f268,f250]) ).
fof(f268,plain,
( sk_c6 != sk_c5
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(superposition,[],[f267,f93]) ).
fof(f267,plain,
( sk_c6 != sF6
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(superposition,[],[f263,f37]) ).
fof(f263,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(forward_demodulation,[],[f262,f250]) ).
fof(f262,plain,
( sk_c6 != inverse(sk_c5)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_7
| ~ spl13_9
| spl13_18 ),
inference(forward_demodulation,[],[f261,f93]) ).
fof(f261,plain,
( sk_c6 != inverse(sF6)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| spl13_18 ),
inference(forward_demodulation,[],[f257,f37]) ).
fof(f257,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| spl13_18 ),
inference(superposition,[],[f199,f250]) ).
fof(f200,plain,
( ~ spl13_17
| ~ spl13_18
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f186,f115,f197,f193]) ).
fof(f115,plain,
( spl13_11
<=> ! [X4] :
( sk_c6 != sF11(X4)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f186,plain,
( sk_c6 != inverse(inverse(sk_c5))
| identity != sk_c6
| ~ spl13_11 ),
inference(superposition,[],[f116,f158]) ).
fof(f158,plain,
identity = sF11(inverse(sk_c5)),
inference(superposition,[],[f48,f2]) ).
fof(f116,plain,
( ! [X4] :
( sk_c6 != sF11(X4)
| sk_c6 != inverse(X4) )
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f191,plain,
( ~ spl13_16
| ~ spl13_5
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f185,f115,f82,f188]) ).
fof(f185,plain,
( sk_c6 != sF0
| sk_c6 != inverse(sk_c2)
| ~ spl13_11 ),
inference(superposition,[],[f116,f162]) ).
fof(f183,plain,
( ~ spl13_2
| ~ spl13_6
| ~ spl13_9
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f182,f112,f100,f86,f67]) ).
fof(f112,plain,
( spl13_10
<=> ! [X6] :
( sk_c5 != sF10(X6)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f182,plain,
( sk_c6 != sF7
| ~ spl13_6
| ~ spl13_9
| ~ spl13_10 ),
inference(superposition,[],[f172,f39]) ).
fof(f172,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl13_6
| ~ spl13_9
| ~ spl13_10 ),
inference(trivial_inequality_removal,[],[f170]) ).
fof(f170,plain,
( sk_c6 != inverse(sk_c3)
| sk_c5 != sk_c5
| ~ spl13_6
| ~ spl13_9
| ~ spl13_10 ),
inference(superposition,[],[f113,f169]) ).
fof(f169,plain,
( sk_c5 = sF10(sk_c3)
| ~ spl13_6
| ~ spl13_9 ),
inference(forward_demodulation,[],[f168,f102]) ).
fof(f168,plain,
( sF5 = sF10(sk_c3)
| ~ spl13_6 ),
inference(forward_demodulation,[],[f166,f35]) ).
fof(f166,plain,
( multiply(sk_c6,sk_c4) = sF10(sk_c3)
| ~ spl13_6 ),
inference(superposition,[],[f47,f151]) ).
fof(f151,plain,
( sk_c4 = sF9(sk_c3)
| ~ spl13_6 ),
inference(forward_demodulation,[],[f150,f88]) ).
fof(f150,plain,
sF9(sk_c3) = sF3,
inference(superposition,[],[f32,f46]) ).
fof(f113,plain,
( ! [X6] :
( sk_c5 != sF10(X6)
| sk_c6 != inverse(X6) )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f181,plain,
( ~ spl13_14
| ~ spl13_15
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f171,f112,f178,f174]) ).
fof(f171,plain,
( sk_c5 != sF9(sk_c6)
| sk_c6 != inverse(identity)
| ~ spl13_10 ),
inference(superposition,[],[f113,f167]) ).
fof(f167,plain,
sF9(sk_c6) = sF10(identity),
inference(forward_demodulation,[],[f163,f46]) ).
fof(f163,plain,
sF10(identity) = multiply(sk_c6,sk_c6),
inference(superposition,[],[f47,f146]) ).
fof(f132,plain,
( spl13_7
| spl13_1 ),
inference(avatar_split_clause,[],[f52,f63,f91]) ).
fof(f52,plain,
( sk_c6 = sF8
| sk_c5 = sF6 ),
inference(definition_folding,[],[f15,f41,f37]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f131,plain,
( spl13_6
| spl13_1 ),
inference(avatar_split_clause,[],[f43,f63,f86]) ).
fof(f43,plain,
( sk_c6 = sF8
| sk_c4 = sF3 ),
inference(definition_folding,[],[f18,f41,f32]) ).
fof(f18,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f130,plain,
( spl13_8
| spl13_3 ),
inference(avatar_split_clause,[],[f31,f72,f95]) ).
fof(f31,plain,
( sk_c5 = sF1
| sk_c6 = sF2 ),
inference(definition_folding,[],[f11,f28,f30]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f129,plain,
( spl13_4
| spl13_2 ),
inference(avatar_split_clause,[],[f51,f67,f77]) ).
fof(f51,plain,
( sk_c6 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f9,f39,f33]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f128,plain,
spl13_13,
inference(avatar_split_clause,[],[f55,f121]) ).
fof(f55,plain,
sk_c5 = sF12,
inference(definition_folding,[],[f4,f49]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f127,plain,
( spl13_9
| spl13_1 ),
inference(avatar_split_clause,[],[f45,f63,f100]) ).
fof(f45,plain,
( sk_c6 = sF8
| sk_c5 = sF5 ),
inference(definition_folding,[],[f17,f35,f41]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f126,plain,
( spl13_7
| spl13_4 ),
inference(avatar_split_clause,[],[f38,f77,f91]) ).
fof(f38,plain,
( sk_c7 = sF4
| sk_c5 = sF6 ),
inference(definition_folding,[],[f5,f33,f37]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f125,plain,
( spl13_7
| spl13_5 ),
inference(avatar_split_clause,[],[f57,f82,f91]) ).
fof(f57,plain,
( sk_c6 = sF0
| sk_c5 = sF6 ),
inference(definition_folding,[],[f20,f27,f37]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f124,plain,
( spl13_10
| spl13_11
| spl13_12
| ~ spl13_3
| ~ spl13_13
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f50,f91,f121,f72,f118,f115,f112]) ).
fof(f50,plain,
! [X3,X6,X4] :
( sk_c5 != sF6
| sk_c5 != sF12
| sk_c5 != sF1
| sk_c7 != sF9(X3)
| sk_c6 != sF11(X4)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c5 != sF10(X6)
| sk_c6 != inverse(X6) ),
inference(definition_folding,[],[f26,f49,f28,f37,f48,f47,f46,f46]) ).
fof(f26,plain,
! [X3,X6,X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(sk_c6)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,X5)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X3)
| multiply(X6,sk_c6) != X5
| sk_c5 != inverse(sk_c6)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f110,plain,
( spl13_5
| spl13_9 ),
inference(avatar_split_clause,[],[f36,f100,f82]) ).
fof(f36,plain,
( sk_c5 = sF5
| sk_c6 = sF0 ),
inference(definition_folding,[],[f22,f35,f27]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f109,plain,
( spl13_5
| spl13_2 ),
inference(avatar_split_clause,[],[f40,f67,f82]) ).
fof(f40,plain,
( sk_c6 = sF7
| sk_c6 = sF0 ),
inference(definition_folding,[],[f24,f39,f27]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f108,plain,
( spl13_6
| spl13_4 ),
inference(avatar_split_clause,[],[f34,f77,f86]) ).
fof(f34,plain,
( sk_c7 = sF4
| sk_c4 = sF3 ),
inference(definition_folding,[],[f8,f33,f32]) ).
fof(f8,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f107,plain,
( spl13_9
| spl13_8 ),
inference(avatar_split_clause,[],[f54,f95,f100]) ).
fof(f54,plain,
( sk_c6 = sF2
| sk_c5 = sF5 ),
inference(definition_folding,[],[f12,f35,f30]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f106,plain,
( spl13_5
| spl13_3 ),
inference(avatar_split_clause,[],[f29,f72,f82]) ).
fof(f29,plain,
( sk_c5 = sF1
| sk_c6 = sF0 ),
inference(definition_folding,[],[f21,f28,f27]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f105,plain,
( spl13_6
| spl13_8 ),
inference(avatar_split_clause,[],[f59,f95,f86]) ).
fof(f59,plain,
( sk_c6 = sF2
| sk_c4 = sF3 ),
inference(definition_folding,[],[f13,f32,f30]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f104,plain,
( spl13_2
| spl13_8 ),
inference(avatar_split_clause,[],[f60,f95,f67]) ).
fof(f60,plain,
( sk_c6 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f14,f39,f30]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f103,plain,
( spl13_9
| spl13_4 ),
inference(avatar_split_clause,[],[f56,f77,f100]) ).
fof(f56,plain,
( sk_c7 = sF4
| sk_c5 = sF5 ),
inference(definition_folding,[],[f7,f33,f35]) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f98,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f61,f95,f91]) ).
fof(f61,plain,
( sk_c6 = sF2
| sk_c5 = sF6 ),
inference(definition_folding,[],[f10,f30,f37]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f89,plain,
( spl13_5
| spl13_6 ),
inference(avatar_split_clause,[],[f58,f86,f82]) ).
fof(f58,plain,
( sk_c4 = sF3
| sk_c6 = sF0 ),
inference(definition_folding,[],[f23,f32,f27]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f80,plain,
( spl13_4
| spl13_3 ),
inference(avatar_split_clause,[],[f53,f72,f77]) ).
fof(f53,plain,
( sk_c5 = sF1
| sk_c7 = sF4 ),
inference(definition_folding,[],[f6,f33,f28]) ).
fof(f6,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f75,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f44,f72,f63]) ).
fof(f44,plain,
( sk_c5 = sF1
| sk_c6 = sF8 ),
inference(definition_folding,[],[f16,f41,f28]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f70,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f42,f67,f63]) ).
fof(f42,plain,
( sk_c6 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f19,f39,f41]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % 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 : n009.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 22:22:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (19290)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.47 % (19282)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (19274)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)
% 0.19/0.51 % (19273)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)
% 0.19/0.52 % (19276)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 % (19271)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)
% 0.19/0.52 % (19275)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (19272)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (19281)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (19296)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (19300)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (19294)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (19298)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (19293)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)
% 0.19/0.53 % (19288)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (19287)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (19282)First to succeed.
% 0.19/0.53 % (19283)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (19286)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (19285)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)
% 0.19/0.53 % (19292)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 % (19291)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (19278)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (19277)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)
% 0.19/0.54 % (19284)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (19299)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (19278)Instruction limit reached!
% 0.19/0.54 % (19278)------------------------------
% 0.19/0.54 % (19278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19278)Termination reason: Unknown
% 0.19/0.54 % (19278)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (19278)Memory used [KB]: 5500
% 0.19/0.54 % (19278)Time elapsed: 0.157 s
% 0.19/0.54 % (19278)Instructions burned: 8 (million)
% 0.19/0.54 % (19278)------------------------------
% 0.19/0.54 % (19278)------------------------------
% 0.19/0.54 % (19297)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)
% 0.19/0.54 % (19280)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)
% 0.19/0.54 % (19279)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (19279)Instruction limit reached!
% 0.19/0.54 % (19279)------------------------------
% 0.19/0.54 % (19279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19279)Termination reason: Unknown
% 0.19/0.54 % (19279)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (19279)Memory used [KB]: 5373
% 0.19/0.54 % (19279)Time elapsed: 0.151 s
% 0.19/0.54 % (19279)Instructions burned: 3 (million)
% 0.19/0.54 % (19279)------------------------------
% 0.19/0.54 % (19279)------------------------------
% 0.19/0.54 % (19282)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (19282)------------------------------
% 0.19/0.55 % (19282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (19282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (19282)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (19282)Memory used [KB]: 6140
% 0.19/0.55 % (19282)Time elapsed: 0.118 s
% 0.19/0.55 % (19282)Instructions burned: 43 (million)
% 0.19/0.55 % (19282)------------------------------
% 0.19/0.55 % (19282)------------------------------
% 0.19/0.55 % (19270)Success in time 0.196 s
%------------------------------------------------------------------------------