TSTP Solution File: GRP286-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP286-1 : TPTP v8.1.2. 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 : n011.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 May 1 02:28:23 EDT 2024
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 47
% Syntax : Number of formulae : 218 ( 4 unt; 0 def)
% Number of atoms : 956 ( 251 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1460 ( 722 ~; 723 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1273,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f59,f64,f69,f74,f75,f76,f77,f78,f79,f84,f85,f86,f87,f88,f89,f94,f95,f96,f97,f98,f99,f104,f105,f106,f107,f108,f109,f122,f152,f192,f215,f230,f592,f985,f1071,f1105,f1140,f1267]) ).
fof(f1267,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1266,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1259]) ).
fof(f1259,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1145,f1241]) ).
fof(f1241,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1238,f722]) ).
fof(f722,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f615,f73]) ).
fof(f73,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f615,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f611,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',left_identity) ).
fof(f611,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f604]) ).
fof(f604,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',associativity) ).
fof(f1238,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1237,f1]) ).
fof(f1237,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f3,f1231]) ).
fof(f1231,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1230,f604]) ).
fof(f1230,plain,
( multiply(sk_c8,identity) = multiply(sk_c8,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1228,f751]) ).
fof(f751,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f607,f750]) ).
fof(f750,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f39,f722]) ).
fof(f39,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f607,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f93]) ).
fof(f93,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_10
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1228,plain,
( multiply(sk_c8,identity) = multiply(sk_c2,multiply(sk_c7,sk_c1))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f751,f1210]) ).
fof(f1210,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f618,f1198]) ).
fof(f1198,plain,
( identity = multiply(sk_c2,multiply(sk_c7,sk_c1))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1196,f991]) ).
fof(f991,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f606,f604]) ).
fof(f606,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f73]) ).
fof(f1196,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1194,f615]) ).
fof(f1194,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f751,f989]) ).
fof(f989,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f606,f615]) ).
fof(f618,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f617,f1]) ).
fof(f617,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f605]) ).
fof(f605,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f103]) ).
fof(f103,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1145,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1144,f750]) ).
fof(f1144,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f42,f879]) ).
fof(f879,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f874,f750]) ).
fof(f874,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f618,f93]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1140,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1139,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1137]) ).
fof(f1137,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1126,f847]) ).
fof(f847,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f103,f837]) ).
fof(f837,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f834,f769]) ).
fof(f769,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f757,f605]) ).
fof(f757,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f756,f1]) ).
fof(f756,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f3,f753]) ).
fof(f753,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f752,f604]) ).
fof(f752,plain,
( multiply(sk_c7,identity) = multiply(sk_c8,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f610,f750]) ).
fof(f610,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,sk_c1)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f130,f604]) ).
fof(f130,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f834,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f814,f757]) ).
fof(f814,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f604,f797]) ).
fof(f797,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f794,f750]) ).
fof(f794,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f783,f93]) ).
fof(f783,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1,f769]) ).
fof(f1126,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1125,f837]) ).
fof(f1125,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1124,f769]) ).
fof(f1124,plain,
( sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1108]) ).
fof(f1108,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1107,f1]) ).
fof(f1107,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1106,f797]) ).
fof(f1106,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f797]) ).
fof(f112,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_12
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1105,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1102]) ).
fof(f1102,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f1091,f847]) ).
fof(f1091,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1090,f837]) ).
fof(f1090,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1089,f769]) ).
fof(f1089,plain,
( sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1073]) ).
fof(f1073,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f1072,f1]) ).
fof(f1072,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f797]) ).
fof(f118,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_14
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1071,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1068]) ).
fof(f1068,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f1055,f847]) ).
fof(f1055,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1051]) ).
fof(f1051,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f987,f815]) ).
fof(f815,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f615,f797]) ).
fof(f987,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c7 != inverse(X7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f986,f797]) ).
fof(f986,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f797]) ).
fof(f121,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_15
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f985,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f984,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f982]) ).
fof(f982,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f971,f847]) ).
fof(f971,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f970,f837]) ).
fof(f970,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f969]) ).
fof(f969,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f968,f797]) ).
fof(f968,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f937,f750]) ).
fof(f937,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f115,f783]) ).
fof(f115,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_13
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f592,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f591,f120,f66,f61,f56,f51,f46,f41,f51]) ).
fof(f46,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f51,plain,
( spl0_4
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f56,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f61,plain,
( spl0_6
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f66,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f591,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f573,f277]) ).
fof(f277,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f264,f262]) ).
fof(f262,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f249,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f249,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f248,f148]) ).
fof(f148,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f137,f141]) ).
fof(f141,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f139,f58]) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f139,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f137,f63]) ).
fof(f63,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f137,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f241,f164]) ).
fof(f164,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f162,f144]) ).
fof(f144,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f43,f141]) ).
fof(f162,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f160,f141]) ).
fof(f160,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f138,f48]) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f138,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f131,f1]) ).
fof(f131,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f123]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f130,f137]) ).
fof(f264,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f249,f147]) ).
fof(f147,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f124,f141]) ).
fof(f573,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f571]) ).
fof(f571,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f233,f148]) ).
fof(f233,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c7 != inverse(X7) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f232,f141]) ).
fof(f232,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f141]) ).
fof(f230,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f229,f117,f66,f61,f56,f46,f51]) ).
fof(f229,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f223,f141]) ).
fof(f223,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f217,f48]) ).
fof(f217,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f141]) ).
fof(f215,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f214,f114,f66,f61,f56,f51,f46,f41,f51]) ).
fof(f214,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f208,f141]) ).
fof(f208,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f202,f48]) ).
fof(f202,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f164]) ).
fof(f192,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f191,f111,f66,f61,f56,f46,f51]) ).
fof(f191,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f190]) ).
fof(f190,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f177,f141]) ).
fof(f177,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f154,f48]) ).
fof(f154,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f153,f141]) ).
fof(f153,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f141]) ).
fof(f152,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f149]) ).
fof(f149,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f143,f144]) ).
fof(f143,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f38,f141]) ).
fof(f38,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f122,plain,
( ~ spl0_1
| spl0_12
| spl0_13
| ~ spl0_2
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f120,f117,f41,f114,f111,f37]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(sk_c8,X6)
| sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_31) ).
fof(f109,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f66,f101]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_30) ).
fof(f108,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f61,f101]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_29) ).
fof(f107,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f56,f101]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_28) ).
fof(f106,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f51,f101]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_27) ).
fof(f105,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f46,f101]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_26) ).
fof(f104,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f41,f101]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_25) ).
fof(f99,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f66,f91]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_24) ).
fof(f98,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f61,f91]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_23) ).
fof(f97,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f56,f91]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_22) ).
fof(f96,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f51,f91]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_21) ).
fof(f95,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f46,f91]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_20) ).
fof(f94,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f41,f91]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_19) ).
fof(f89,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f66,f81]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_18) ).
fof(f88,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f61,f81]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_17) ).
fof(f87,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f56,f81]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_16) ).
fof(f86,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f51,f81]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_15) ).
fof(f85,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f46,f81]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_14) ).
fof(f84,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f41,f81]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_13) ).
fof(f79,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f66,f71]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_12) ).
fof(f78,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f61,f71]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_11) ).
fof(f77,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f56,f71]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_10) ).
fof(f76,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f51,f71]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_9) ).
fof(f75,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f46,f71]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_8) ).
fof(f74,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f41,f71]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_7) ).
fof(f69,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f66,f37]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_6) ).
fof(f64,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f61,f37]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_5) ).
fof(f59,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f56,f37]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_4) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f41,f37]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GRP286-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.16 % 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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 18:28:17 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 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/tmp/tmp.eWKO4USwB8/Vampire---4.8_4537
% 0.61/0.76 % (4789)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 Vampire---4 for (2996ds/83Mi)
% 0.61/0.76 % (4783)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 Vampire---4 for (2996ds/34Mi)
% 0.61/0.76 % (4784)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 Vampire---4 for (2996ds/51Mi)
% 0.61/0.76 % (4785)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (4787)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 Vampire---4 for (2996ds/34Mi)
% 0.61/0.76 % (4788)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76 % (4786)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76 % (4783)Refutation not found, incomplete strategy% (4783)------------------------------
% 0.61/0.76 % (4783)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (4783)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (4783)Memory used [KB]: 998
% 0.61/0.76 % (4783)Time elapsed: 0.003 s
% 0.61/0.76 % (4783)Instructions burned: 4 (million)
% 0.61/0.76 % (4783)------------------------------
% 0.61/0.76 % (4783)------------------------------
% 0.61/0.76 % (4787)Refutation not found, incomplete strategy% (4787)------------------------------
% 0.61/0.76 % (4787)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (4787)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (4787)Memory used [KB]: 997
% 0.61/0.76 % (4787)Time elapsed: 0.004 s
% 0.61/0.76 % (4787)Instructions burned: 4 (million)
% 0.61/0.76 % (4787)------------------------------
% 0.61/0.76 % (4787)------------------------------
% 0.61/0.76 % (4790)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.61/0.76 % (4786)Refutation not found, incomplete strategy% (4786)------------------------------
% 0.61/0.76 % (4786)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (4786)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (4786)Memory used [KB]: 981
% 0.61/0.76 % (4786)Time elapsed: 0.004 s
% 0.61/0.76 % (4786)Instructions burned: 4 (million)
% 0.61/0.76 % (4786)------------------------------
% 0.61/0.76 % (4786)------------------------------
% 0.61/0.76 % (4790)Refutation not found, incomplete strategy% (4790)------------------------------
% 0.61/0.76 % (4790)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (4790)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (4790)Memory used [KB]: 983
% 0.61/0.76 % (4790)Time elapsed: 0.004 s
% 0.61/0.76 % (4790)Instructions burned: 4 (million)
% 0.61/0.76 % (4790)------------------------------
% 0.61/0.76 % (4790)------------------------------
% 0.61/0.76 % (4785)Refutation not found, incomplete strategy% (4785)------------------------------
% 0.61/0.76 % (4785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (4785)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (4785)Memory used [KB]: 1095
% 0.61/0.76 % (4785)Time elapsed: 0.008 s
% 0.61/0.76 % (4785)Instructions burned: 12 (million)
% 0.61/0.76 % (4785)------------------------------
% 0.61/0.76 % (4785)------------------------------
% 0.61/0.76 % (4793)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.76 % (4791)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 Vampire---4 for (2996ds/55Mi)
% 0.61/0.76 % (4792)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 Vampire---4 for (2996ds/50Mi)
% 0.61/0.77 % (4792)Refutation not found, incomplete strategy% (4792)------------------------------
% 0.61/0.77 % (4792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (4792)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (4792)Memory used [KB]: 990
% 0.61/0.77 % (4792)Time elapsed: 0.004 s
% 0.61/0.77 % (4792)Instructions burned: 5 (million)
% 0.61/0.77 % (4792)------------------------------
% 0.61/0.77 % (4792)------------------------------
% 0.61/0.77 % (4794)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 Vampire---4 for (2996ds/52Mi)
% 0.61/0.77 % (4795)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 Vampire---4 for (2996ds/518Mi)
% 0.61/0.77 % (4796)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 Vampire---4 for (2996ds/42Mi)
% 0.61/0.77 % (4791)Refutation not found, incomplete strategy% (4791)------------------------------
% 0.61/0.77 % (4791)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (4791)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (4791)Memory used [KB]: 1122
% 0.61/0.77 % (4791)Time elapsed: 0.010 s
% 0.61/0.77 % (4791)Instructions burned: 15 (million)
% 0.61/0.77 % (4791)------------------------------
% 0.61/0.77 % (4791)------------------------------
% 0.61/0.77 % (4796)Refutation not found, incomplete strategy% (4796)------------------------------
% 0.61/0.77 % (4796)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (4796)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (4796)Memory used [KB]: 1004
% 0.61/0.77 % (4796)Time elapsed: 0.003 s
% 0.61/0.77 % (4796)Instructions burned: 4 (million)
% 0.61/0.77 % (4796)------------------------------
% 0.61/0.77 % (4796)------------------------------
% 0.61/0.78 % (4784)First to succeed.
% 0.61/0.78 % (4797)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 Vampire---4 for (2996ds/243Mi)
% 0.61/0.78 % (4798)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.61/0.78 % (4788)Instruction limit reached!
% 0.61/0.78 % (4788)------------------------------
% 0.61/0.78 % (4788)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (4788)Termination reason: Unknown
% 0.61/0.78 % (4788)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (4788)Memory used [KB]: 1604
% 0.61/0.78 % (4788)Time elapsed: 0.023 s
% 0.61/0.78 % (4788)Instructions burned: 45 (million)
% 0.61/0.78 % (4788)------------------------------
% 0.61/0.78 % (4788)------------------------------
% 0.61/0.78 % (4789)Instruction limit reached!
% 0.61/0.78 % (4789)------------------------------
% 0.61/0.78 % (4789)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (4789)Termination reason: Unknown
% 0.61/0.78 % (4789)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (4789)Memory used [KB]: 2050
% 0.61/0.78 % (4789)Time elapsed: 0.025 s
% 0.61/0.78 % (4789)Instructions burned: 83 (million)
% 0.61/0.78 % (4789)------------------------------
% 0.61/0.78 % (4789)------------------------------
% 0.61/0.78 % (4798)Refutation not found, incomplete strategy% (4798)------------------------------
% 0.61/0.78 % (4798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (4798)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (4798)Memory used [KB]: 984
% 0.61/0.78 % (4798)Time elapsed: 0.004 s
% 0.61/0.78 % (4798)Instructions burned: 4 (million)
% 0.61/0.78 % (4798)------------------------------
% 0.61/0.78 % (4798)------------------------------
% 0.61/0.78 % (4784)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (4784)------------------------------
% 0.61/0.78 % (4784)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (4784)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (4784)Memory used [KB]: 1339
% 0.61/0.78 % (4784)Time elapsed: 0.024 s
% 0.61/0.78 % (4784)Instructions burned: 41 (million)
% 0.61/0.78 % (4784)------------------------------
% 0.61/0.78 % (4784)------------------------------
% 0.61/0.78 % (4779)Success in time 0.392 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------