TSTP Solution File: GRP287-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP287-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 : Mon May 20 21:07:55 EDT 2024
% Result : Unsatisfiable 0.67s 0.76s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 220 ( 4 unt; 0 def)
% Number of atoms : 961 ( 237 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1479 ( 738 ~; 727 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1169,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f82,f83,f84,f90,f91,f92,f93,f107,f303,f410,f445,f480,f515,f794,f942,f1058,f1094,f1131,f1168]) ).
fof(f1168,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1165]) ).
fof(f1165,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1152,f986]) ).
fof(f986,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f89,f972]) ).
fof(f972,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f971,f930]) ).
fof(f930,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f929,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f929,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f3,f925]) ).
fof(f925,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f924,f520]) ).
fof(f520,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f924,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f922,f521]) ).
fof(f521,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f62]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f922,plain,
( multiply(sk_c6,identity) = multiply(sk_c1,multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f521,f885]) ).
fof(f885,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f874,f619]) ).
fof(f619,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f615,f33]) ).
fof(f33,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f615,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f531,f62]) ).
fof(f531,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f529,f1]) ).
fof(f529,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f519]) ).
fof(f519,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f874,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f613,f520]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f33]) ).
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(f971,plain,
( sk_c2 = multiply(sk_c6,sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f969,f959]) ).
fof(f959,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f948,f930]) ).
fof(f948,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f521,f932]) ).
fof(f932,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f930,f636]) ).
fof(f636,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f633,f619]) ).
fof(f633,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f535,f80]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_9
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f535,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f533,f1]) ).
fof(f533,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f520]) ).
fof(f969,plain,
( multiply(sk_c6,sk_c1) = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f851,f933]) ).
fof(f933,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f930,f520]) ).
fof(f851,plain,
( multiply(sk_c6,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f521,f519]) ).
fof(f89,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1152,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1151,f972]) ).
fof(f1151,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1150,f933]) ).
fof(f1150,plain,
( sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1134]) ).
fof(f1134,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1133,f1]) ).
fof(f1133,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1132,f932]) ).
fof(f1132,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f932]) ).
fof(f97,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_11
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1131,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1128]) ).
fof(f1128,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f1115,f986]) ).
fof(f1115,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1114,f972]) ).
fof(f1114,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1113,f933]) ).
fof(f1113,plain,
( sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1097]) ).
fof(f1097,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f1096,f1]) ).
fof(f1096,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1095,f932]) ).
fof(f1095,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f619]) ).
fof(f106,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_14
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1094,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1093,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1091]) ).
fof(f1091,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f1078,f986]) ).
fof(f1078,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1077,f972]) ).
fof(f1077,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1076,f933]) ).
fof(f1076,plain,
( sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1060]) ).
fof(f1060,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f1059,f1]) ).
fof(f1059,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f932]) ).
fof(f103,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1058,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1055]) ).
fof(f1055,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f1035,f986]) ).
fof(f1035,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1034,f972]) ).
fof(f1034,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1033,f933]) ).
fof(f1033,plain,
( sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1017]) ).
fof(f1017,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f944,f1]) ).
fof(f944,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f943,f932]) ).
fof(f943,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f619]) ).
fof(f100,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f942,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f937]) ).
fof(f937,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f845,f930]) ).
fof(f845,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f36,f619]) ).
fof(f36,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_2
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f794,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f793,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f792]) ).
fof(f792,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f691,f683]) ).
fof(f683,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f670,f121]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f47]) ).
fof(f47,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f670,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f141,f648]) ).
fof(f648,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f645,f615]) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f644,f1]) ).
fof(f644,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f3,f641]) ).
fof(f641,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f640,f519]) ).
fof(f640,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f638,f116]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f42]) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f638,plain,
( multiply(sk_c7,identity) = multiply(sk_c3,multiply(sk_c6,sk_c1))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f116,f526]) ).
fof(f526,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f128,f519]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f42]) ).
fof(f141,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f116,f121]) ).
fof(f691,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f679,f662]) ).
fof(f662,plain,
( sk_c3 = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f650,f645]) ).
fof(f650,plain,
( sk_c4 = multiply(sk_c7,sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f645,f157]) ).
fof(f157,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f148,f147]) ).
fof(f147,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f116,f108]) ).
fof(f148,plain,
( multiply(sk_c3,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f116,f109]) ).
fof(f109,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f679,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f624,f648]) ).
fof(f624,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f56,f619]) ).
fof(f56,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f515,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f514,f105,f55,f50,f45,f40,f35,f45]) ).
fof(f514,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f493,f281]) ).
fof(f281,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f263,f279]) ).
fof(f279,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f259,f276]) ).
fof(f276,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f255,f243]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f136,f121]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f131,f126]) ).
fof(f126,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f123,f37]) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f131,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f122,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f122,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f109]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f128]) ).
fof(f259,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c6,multiply(sk_c7,sk_c3))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f147]) ).
fof(f263,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f109]) ).
fof(f493,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f492]) ).
fof(f492,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f481,f258]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f122]) ).
fof(f481,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f126]) ).
fof(f480,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f479,f102,f55,f50,f45,f40,f35,f45]) ).
fof(f479,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f458,f281]) ).
fof(f458,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f446,f258]) ).
fof(f446,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f260]) ).
fof(f260,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f123]) ).
fof(f445,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f444,f99,f55,f50,f45,f40,f35,f45]) ).
fof(f444,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f423,f281]) ).
fof(f423,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f422]) ).
fof(f422,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f411,f258]) ).
fof(f411,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f126]) ).
fof(f410,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f409,f96,f55,f50,f45,f40,f35,f45]) ).
fof(f409,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f380,f281]) ).
fof(f380,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f379,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f313,f258]) ).
fof(f313,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f312,f260]) ).
fof(f312,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f260]) ).
fof(f303,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f165,f260]) ).
fof(f165,plain,
( sk_c7 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f162,f126]) ).
fof(f162,plain,
( sk_c7 != sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f32,f156]) ).
fof(f156,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f146,f42]) ).
fof(f146,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f134]) ).
fof(f32,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f107,plain,
( ~ spl0_1
| spl0_11
| spl0_12
| ~ spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f96,f31]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f93,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f50,f87]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f92,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f45,f87]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f91,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f40,f87]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f90,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f35,f87]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f84,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f50,f78]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f83,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f45,f78]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f82,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f40,f78]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f76,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f55,f69]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f75,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f50,f69]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f74,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f45,f69]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f73,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f40,f69]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f72,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f35,f69]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f67,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f55,f60]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f66,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f50,f60]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f65,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f45,f60]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f64,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f40,f60]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f63,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f60]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f58,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f55,f31]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f53,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f50,f31]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f48,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f45,f31]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f43,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f40,f31]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f35,f31]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP287-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 06:14:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 % (10046)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.54/0.74 % (10047)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.74 % (10040)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.74 % (10042)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.74 % (10041)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.54/0.74 % (10044)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.74 % (10043)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.74 % (10045)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.74 % (10047)Refutation not found, incomplete strategy% (10047)------------------------------
% 0.54/0.74 % (10047)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (10047)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (10047)Memory used [KB]: 988
% 0.54/0.74 % (10047)Time elapsed: 0.003 s
% 0.54/0.74 % (10047)Instructions burned: 3 (million)
% 0.54/0.74 % (10047)------------------------------
% 0.54/0.74 % (10047)------------------------------
% 0.54/0.74 % (10040)Refutation not found, incomplete strategy% (10040)------------------------------
% 0.54/0.74 % (10040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (10040)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74 % (10043)Refutation not found, incomplete strategy% (10043)------------------------------
% 0.54/0.74 % (10043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (10043)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (10043)Memory used [KB]: 986
% 0.54/0.74 % (10043)Time elapsed: 0.003 s
% 0.54/0.74 % (10043)Instructions burned: 3 (million)
% 0.54/0.74
% 0.54/0.74 % (10040)Memory used [KB]: 1003
% 0.54/0.74 % (10040)Time elapsed: 0.003 s
% 0.54/0.74 % (10040)Instructions burned: 3 (million)
% 0.54/0.74 % (10044)Refutation not found, incomplete strategy% (10044)------------------------------
% 0.54/0.74 % (10044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (10044)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (10044)Memory used [KB]: 1002
% 0.54/0.74 % (10044)Time elapsed: 0.003 s
% 0.54/0.74 % (10043)------------------------------
% 0.54/0.74 % (10043)------------------------------
% 0.54/0.74 % (10044)Instructions burned: 4 (million)
% 0.54/0.74 % (10040)------------------------------
% 0.54/0.74 % (10040)------------------------------
% 0.54/0.74 % (10045)Refutation not found, incomplete strategy% (10045)------------------------------
% 0.54/0.74 % (10045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (10045)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74 % (10042)Refutation not found, incomplete strategy% (10042)------------------------------
% 0.54/0.74 % (10042)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74
% 0.54/0.74 % (10045)Memory used [KB]: 992
% 0.54/0.74 % (10045)Time elapsed: 0.004 s
% 0.54/0.74 % (10045)Instructions burned: 4 (million)
% 0.54/0.74 % (10044)------------------------------
% 0.54/0.74 % (10044)------------------------------
% 0.54/0.74 % (10042)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (10042)Memory used [KB]: 1058
% 0.54/0.74 % (10042)Time elapsed: 0.004 s
% 0.54/0.74 % (10042)Instructions burned: 4 (million)
% 0.54/0.74 % (10045)------------------------------
% 0.54/0.74 % (10045)------------------------------
% 0.54/0.74 % (10042)------------------------------
% 0.54/0.74 % (10042)------------------------------
% 0.54/0.74 % (10048)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.54/0.75 % (10049)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.54/0.75 % (10051)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.54/0.75 % (10052)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.54/0.75 % (10053)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.54/0.75 % (10048)Refutation not found, incomplete strategy% (10048)------------------------------
% 0.54/0.75 % (10048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10048)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10048)Memory used [KB]: 1068
% 0.54/0.75 % (10048)Time elapsed: 0.004 s
% 0.54/0.75 % (10048)Instructions burned: 5 (million)
% 0.54/0.75 % (10048)------------------------------
% 0.54/0.75 % (10048)------------------------------
% 0.54/0.75 % (10049)Refutation not found, incomplete strategy% (10049)------------------------------
% 0.54/0.75 % (10049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10049)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10049)Memory used [KB]: 997
% 0.54/0.75 % (10049)Time elapsed: 0.003 s
% 0.54/0.75 % (10049)Instructions burned: 5 (million)
% 0.54/0.75 % (10053)Refutation not found, incomplete strategy% (10053)------------------------------
% 0.54/0.75 % (10053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10053)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10049)------------------------------
% 0.54/0.75 % (10049)------------------------------
% 0.54/0.75 % (10053)Memory used [KB]: 1009
% 0.54/0.75 % (10053)Time elapsed: 0.003 s
% 0.54/0.75 % (10053)Instructions burned: 4 (million)
% 0.54/0.75 % (10050)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.54/0.75 % (10052)Refutation not found, incomplete strategy% (10052)------------------------------
% 0.54/0.75 % (10052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10052)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10052)Memory used [KB]: 992
% 0.54/0.75 % (10053)------------------------------
% 0.54/0.75 % (10053)------------------------------
% 0.54/0.75 % (10052)Time elapsed: 0.005 s
% 0.54/0.75 % (10052)Instructions burned: 4 (million)
% 0.54/0.75 % (10051)Refutation not found, incomplete strategy% (10051)------------------------------
% 0.54/0.75 % (10051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10051)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10051)Memory used [KB]: 1058
% 0.54/0.75 % (10051)Time elapsed: 0.004 s
% 0.54/0.75 % (10051)Instructions burned: 4 (million)
% 0.54/0.75 % (10051)------------------------------
% 0.54/0.75 % (10051)------------------------------
% 0.54/0.75 % (10052)------------------------------
% 0.54/0.75 % (10052)------------------------------
% 0.54/0.75 % (10054)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.54/0.75 % (10056)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.54/0.75 % (10050)Refutation not found, incomplete strategy% (10050)------------------------------
% 0.54/0.75 % (10050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10050)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10050)Memory used [KB]: 1086
% 0.54/0.75 % (10057)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.54/0.75 % (10050)Time elapsed: 0.006 s
% 0.54/0.75 % (10050)Instructions burned: 9 (million)
% 0.54/0.75 % (10058)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.54/0.75 % (10050)------------------------------
% 0.54/0.75 % (10050)------------------------------
% 0.54/0.75 % (10055)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.54/0.75 % (10056)Refutation not found, incomplete strategy% (10056)------------------------------
% 0.54/0.75 % (10056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10056)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.76 % (10056)Memory used [KB]: 1005
% 0.54/0.76 % (10056)Time elapsed: 0.004 s
% 0.54/0.76 % (10056)Instructions burned: 3 (million)
% 0.54/0.76 % (10058)Refutation not found, incomplete strategy% (10058)------------------------------
% 0.54/0.76 % (10058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (10058)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (10058)Memory used [KB]: 989
% 0.54/0.76 % (10058)Time elapsed: 0.004 s
% 0.54/0.76 % (10058)Instructions burned: 3 (million)
% 0.54/0.76 % (10056)------------------------------
% 0.54/0.76 % (10056)------------------------------
% 0.54/0.76 % (10058)------------------------------
% 0.54/0.76 % (10058)------------------------------
% 0.54/0.76 % (10055)Refutation not found, incomplete strategy% (10055)------------------------------
% 0.54/0.76 % (10055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (10055)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (10055)Memory used [KB]: 989
% 0.54/0.76 % (10055)Time elapsed: 0.004 s
% 0.54/0.76 % (10055)Instructions burned: 3 (million)
% 0.54/0.76 % (10055)------------------------------
% 0.54/0.76 % (10055)------------------------------
% 0.54/0.76 % (10041)First to succeed.
% 0.54/0.76 % (10059)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2996ds/32Mi)
% 0.54/0.76 % (10060)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2996ds/1919Mi)
% 0.54/0.76 % (10061)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2996ds/55Mi)
% 0.54/0.76 % (10041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10039"
% 0.67/0.76 % (10062)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2996ds/53Mi)
% 0.67/0.76 % (10041)Refutation found. Thanks to Tanya!
% 0.67/0.76 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.76 % (10041)------------------------------
% 0.67/0.76 % (10041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.76 % (10041)Termination reason: Refutation
% 0.67/0.76
% 0.67/0.76 % (10041)Memory used [KB]: 1247
% 0.67/0.76 % (10041)Time elapsed: 0.022 s
% 0.67/0.76 % (10041)Instructions burned: 35 (million)
% 0.67/0.76 % (10039)Success in time 0.392 s
% 0.67/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------