TSTP Solution File: GRP209-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP209-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:07:35 EDT 2024
% Result : Unsatisfiable 0.79s 0.95s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 220 ( 4 unt; 0 def)
% Number of atoms : 780 ( 271 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1105 ( 545 ~; 537 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1460,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f63,f68,f73,f93,f94,f95,f96,f104,f105,f106,f107,f115,f116,f117,f118,f126,f127,f128,f129,f137,f138,f139,f140,f141,f142,f143,f159,f176,f200,f206,f229,f232,f242,f300,f323,f465,f619,f669,f855,f856,f969,f1068,f1078,f1083,f1438,f1459]) ).
fof(f1459,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1454]) ).
fof(f1454,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f1446,f717]) ).
fof(f717,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f53,f713]) ).
fof(f713,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f676,f598]) ).
fof(f598,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f440,f53]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f439,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f439,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f429]) ).
fof(f429,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f92]) ).
fof(f92,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_9
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f676,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f103,f227]) ).
fof(f227,plain,
( sk_c10 = sk_c9
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_29
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f103,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_10
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f53,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_1
<=> multiply(sk_c1,sk_c2) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1446,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1445]) ).
fof(f1445,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1441,f223]) ).
fof(f223,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_28
<=> sk_c10 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1441,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18
| ~ spl0_29 ),
inference(superposition,[],[f1440,f1144]) ).
fof(f1144,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_29 ),
inference(superposition,[],[f136,f1130]) ).
fof(f1130,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1119,f1116]) ).
fof(f1116,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f1108,f719]) ).
fof(f719,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f429,f713]) ).
fof(f1108,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f720,f1097]) ).
fof(f1097,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1089,f720]) ).
fof(f1089,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f431,f440]) ).
fof(f431,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f53]) ).
fof(f720,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f440,f713]) ).
fof(f1119,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_29 ),
inference(superposition,[],[f1108,f430]) ).
fof(f430,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_13
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1440,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c10)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1439,f227]) ).
fof(f1439,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) )
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_demodulation,[],[f158,f227]) ).
fof(f158,plain,
( ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_18
<=> ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1438,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1433]) ).
fof(f1433,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f1425,f717]) ).
fof(f1425,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1424]) ).
fof(f1424,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1420,f223]) ).
fof(f1420,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_29 ),
inference(superposition,[],[f970,f1144]) ).
fof(f970,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_14
| ~ spl0_29 ),
inference(forward_demodulation,[],[f146,f227]) ).
fof(f146,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_14
<=> ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1083,plain,
( spl0_28
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1082,f226,f215,f222]) ).
fof(f215,plain,
( spl0_27
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1082,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f216,f227]) ).
fof(f216,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f1078,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f723,f226,f101,f90,f51,f222]) ).
fof(f723,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(forward_demodulation,[],[f718,f227]) ).
fof(f718,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f103,f713]) ).
fof(f1068,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29
| spl0_32 ),
inference(trivial_inequality_removal,[],[f1066]) ).
fof(f1066,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29
| spl0_32 ),
inference(superposition,[],[f1065,f713]) ).
fof(f1065,plain,
( sk_c2 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29
| spl0_32 ),
inference(superposition,[],[f1021,f92]) ).
fof(f1021,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29
| spl0_32 ),
inference(superposition,[],[f267,f988]) ).
fof(f988,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f974,f719]) ).
fof(f974,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f368,f720]) ).
fof(f368,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_28 ),
inference(superposition,[],[f3,f223]) ).
fof(f267,plain,
( sk_c10 != inverse(identity)
| spl0_32 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl0_32
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f969,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f968]) ).
fof(f968,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f967]) ).
fof(f967,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f966,f713]) ).
fof(f966,plain,
( sk_c2 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f954,f92]) ).
fof(f954,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f932]) ).
fof(f932,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f872,f717]) ).
fof(f872,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f152,f227]) ).
fof(f152,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_16
<=> ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f856,plain,
( ~ spl0_2
| ~ spl0_2
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f832,f226,f148,f55,f55]) ).
fof(f55,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f148,plain,
( spl0_15
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f832,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f828]) ).
fof(f828,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f673,f295]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f286,f1]) ).
fof(f286,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f248]) ).
fof(f248,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f673,plain,
( ! [X6] :
( sk_c10 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f149,f227]) ).
fof(f149,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f855,plain,
( ~ spl0_13
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f831,f226,f148,f134,f134]) ).
fof(f831,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f829]) ).
fof(f829,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f673,f483]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f479,f1]) ).
fof(f479,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f430]) ).
fof(f669,plain,
( spl0_29
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f665,f134,f123,f112,f226]) ).
fof(f112,plain,
( spl0_11
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f123,plain,
( spl0_12
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f665,plain,
( sk_c10 = sk_c9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f114,f660]) ).
fof(f660,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f483,f125]) ).
fof(f125,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f114,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f619,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_29 ),
inference(superposition,[],[f616,f600]) ).
fof(f600,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(forward_demodulation,[],[f598,f426]) ).
fof(f426,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_10
| ~ spl0_29 ),
inference(forward_demodulation,[],[f103,f227]) ).
fof(f616,plain,
( sk_c2 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_29 ),
inference(superposition,[],[f615,f92]) ).
fof(f615,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f612]) ).
fof(f612,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_29 ),
inference(superposition,[],[f476,f610]) ).
fof(f610,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f53,f600]) ).
fof(f476,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c10)
| sk_c10 != inverse(X8) )
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f475,f227]) ).
fof(f475,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c10)
| sk_c9 != inverse(X8) )
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f155,f227]) ).
fof(f155,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl0_17
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f465,plain,
( ~ spl0_32
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f452,f226,f151,f265]) ).
fof(f452,plain,
( sk_c10 != inverse(identity)
| ~ spl0_16
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f449,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(identity)
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f424,f1]) ).
fof(f424,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f152,f227]) ).
fof(f323,plain,
( spl0_29
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f322,f215,f70,f65,f60,f226]) ).
fof(f60,plain,
( spl0_3
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f65,plain,
( spl0_4
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f70,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f322,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f321,f62]) ).
fof(f62,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f321,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f317,f216]) ).
fof(f317,plain,
( multiply(sk_c5,sk_c9) = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f287,f309]) ).
fof(f309,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f296,f67]) ).
fof(f67,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f249]) ).
fof(f249,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c9,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f62]) ).
fof(f300,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f298,f60,f55,f215]) ).
fof(f298,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f295,f62]) ).
fof(f242,plain,
( ~ spl0_28
| spl0_21
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f239,f226,f173,f222]) ).
fof(f173,plain,
( spl0_21
<=> sk_c10 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f239,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl0_21
| ~ spl0_29 ),
inference(superposition,[],[f175,f227]) ).
fof(f175,plain,
( sk_c10 != multiply(sk_c9,sk_c9)
| spl0_21 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f232,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f231,f157,f85,f80,f75]) ).
fof(f75,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f80,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f85,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f231,plain,
( sk_c9 != multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f230]) ).
fof(f230,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f209,f87]) ).
fof(f87,plain,
( sk_c9 = multiply(sk_c8,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f209,plain,
( sk_c9 != multiply(sk_c8,sk_c10)
| sk_c9 != multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f158,f82]) ).
fof(f82,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f229,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f220,f157,f70,f65,f226,f222]) ).
fof(f220,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(inner_rewriting,[],[f219]) ).
fof(f219,plain,
( sk_c10 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f208,f67]) ).
fof(f208,plain,
( sk_c9 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f158,f72]) ).
fof(f206,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f203,f154,f65,f70]) ).
fof(f203,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f202]) ).
fof(f202,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f155,f67]) ).
fof(f200,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f199,f151,f60,f55]) ).
fof(f199,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f196]) ).
fof(f196,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f152,f62]) ).
fof(f176,plain,
( ~ spl0_4
| ~ spl0_21
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f161,f145,f70,f173,f65]) ).
fof(f161,plain,
( sk_c10 != multiply(sk_c9,sk_c9)
| sk_c10 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f146,f72]) ).
fof(f159,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f49,f157,f154,f151,f148,f145]) ).
fof(f49,plain,
! [X3,X8,X6,X9,X7] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ),
inference(equality_resolution,[],[f48]) ).
fof(f48,plain,
! [X3,X8,X6,X9,X7,X4] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X10,sk_c10)
| inverse(X9) != X10
| sk_c9 != multiply(X9,X10)
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f143,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f85,f134]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f142,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f80,f134]) ).
fof(f44,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f141,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f75,f134]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f140,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f70,f134]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f139,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f65,f134]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f138,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f60,f134]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f137,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f55,f134]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f129,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f70,f123]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f128,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f65,f123]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f127,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f60,f123]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f126,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f55,f123]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f118,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f70,f112]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f117,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f65,f112]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f116,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f60,f112]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f115,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f55,f112]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f107,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f70,f101]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f106,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f65,f101]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f105,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f60,f101]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f104,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f55,f101]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f96,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f70,f90]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f95,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f65,f90]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f94,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f60,f90]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f93,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f55,f90]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f73,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f70,f51]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f68,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f65,f51]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f63,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f60,f51]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f58,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f55,f51]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c5)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP209-1 : TPTP v8.2.0. Released v2.5.0.
% 0.06/0.14 % 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
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 05:47:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 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
% 0.71/0.92 % (31671)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 (2994ds/34Mi)
% 0.71/0.92 % (31673)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.92 % (31674)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.92 % (31672)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 (2994ds/51Mi)
% 0.71/0.92 % (31675)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 (2994ds/34Mi)
% 0.71/0.92 % (31676)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.92 % (31677)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 (2994ds/83Mi)
% 0.71/0.92 % (31678)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 (2994ds/56Mi)
% 0.71/0.92 % (31674)Refutation not found, incomplete strategy% (31674)------------------------------
% 0.71/0.92 % (31674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (31671)Refutation not found, incomplete strategy% (31671)------------------------------
% 0.71/0.92 % (31671)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (31671)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92
% 0.71/0.92 % (31671)Memory used [KB]: 1017
% 0.71/0.92 % (31671)Time elapsed: 0.004 s
% 0.71/0.92 % (31671)Instructions burned: 5 (million)
% 0.71/0.92 % (31674)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92 % (31678)Refutation not found, incomplete strategy% (31678)------------------------------
% 0.71/0.92 % (31678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (31678)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92
% 0.71/0.92 % (31678)Memory used [KB]: 1003
% 0.71/0.92 % (31678)Time elapsed: 0.003 s
% 0.71/0.92 % (31678)Instructions burned: 4 (million)
% 0.71/0.92
% 0.71/0.92 % (31674)Memory used [KB]: 1000
% 0.71/0.92 % (31674)Time elapsed: 0.004 s
% 0.71/0.92 % (31674)Instructions burned: 4 (million)
% 0.71/0.92 % (31675)Refutation not found, incomplete strategy% (31675)------------------------------
% 0.71/0.92 % (31675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (31675)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92 % (31671)------------------------------
% 0.71/0.92 % (31671)------------------------------
% 0.71/0.92
% 0.71/0.92 % (31675)Memory used [KB]: 1098
% 0.71/0.92 % (31675)Time elapsed: 0.004 s
% 0.71/0.92 % (31675)Instructions burned: 5 (million)
% 0.71/0.92 % (31678)------------------------------
% 0.71/0.92 % (31678)------------------------------
% 0.71/0.92 % (31674)------------------------------
% 0.71/0.92 % (31674)------------------------------
% 0.71/0.92 % (31675)------------------------------
% 0.71/0.92 % (31675)------------------------------
% 0.71/0.92 % (31676)Refutation not found, incomplete strategy% (31676)------------------------------
% 0.71/0.92 % (31676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (31676)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92
% 0.71/0.92 % (31676)Memory used [KB]: 1076
% 0.71/0.92 % (31676)Time elapsed: 0.004 s
% 0.71/0.92 % (31676)Instructions burned: 6 (million)
% 0.71/0.92 % (31673)Refutation not found, incomplete strategy% (31673)------------------------------
% 0.71/0.92 % (31673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (31673)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.92
% 0.71/0.92 % (31676)------------------------------
% 0.71/0.92 % (31676)------------------------------
% 0.71/0.92 % (31673)Memory used [KB]: 1078
% 0.71/0.92 % (31673)Time elapsed: 0.005 s
% 0.71/0.92 % (31673)Instructions burned: 6 (million)
% 0.71/0.92 % (31673)------------------------------
% 0.71/0.92 % (31673)------------------------------
% 0.71/0.93 % (31679)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 (2994ds/55Mi)
% 0.71/0.93 % (31681)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 (2994ds/208Mi)
% 0.71/0.93 % (31680)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 (2994ds/50Mi)
% 0.71/0.93 % (31682)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 (2994ds/52Mi)
% 0.71/0.93 % (31683)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 (2994ds/518Mi)
% 0.71/0.93 % (31684)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 (2994ds/42Mi)
% 0.71/0.93 % (31684)Refutation not found, incomplete strategy% (31684)------------------------------
% 0.71/0.93 % (31684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.93 % (31680)Refutation not found, incomplete strategy% (31680)------------------------------
% 0.71/0.93 % (31680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.93 % (31684)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93
% 0.71/0.93 % (31684)Memory used [KB]: 1039
% 0.71/0.93 % (31684)Time elapsed: 0.003 s
% 0.71/0.93 % (31684)Instructions burned: 4 (million)
% 0.71/0.93 % (31680)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93
% 0.71/0.93 % (31680)Memory used [KB]: 1009
% 0.71/0.93 % (31680)Time elapsed: 0.005 s
% 0.71/0.93 % (31680)Instructions burned: 7 (million)
% 0.71/0.93 % (31684)------------------------------
% 0.71/0.93 % (31684)------------------------------
% 0.79/0.93 % (31680)------------------------------
% 0.79/0.93 % (31680)------------------------------
% 0.79/0.93 % (31682)Refutation not found, incomplete strategy% (31682)------------------------------
% 0.79/0.93 % (31682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.93 % (31682)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.93
% 0.79/0.93 % (31682)Memory used [KB]: 1078
% 0.79/0.93 % (31682)Time elapsed: 0.005 s
% 0.79/0.93 % (31682)Instructions burned: 7 (million)
% 0.79/0.93 % (31683)Refutation not found, incomplete strategy% (31683)------------------------------
% 0.79/0.93 % (31683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.93 % (31683)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.93
% 0.79/0.93 % (31683)Memory used [KB]: 1075
% 0.79/0.93 % (31683)Time elapsed: 0.005 s
% 0.79/0.93 % (31683)Instructions burned: 7 (million)
% 0.79/0.93 % (31682)------------------------------
% 0.79/0.93 % (31682)------------------------------
% 0.79/0.93 % (31683)------------------------------
% 0.79/0.93 % (31683)------------------------------
% 0.79/0.93 % (31681)Refutation not found, incomplete strategy% (31681)------------------------------
% 0.79/0.93 % (31681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.93 % (31681)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.93
% 0.79/0.93 % (31681)Memory used [KB]: 1122
% 0.79/0.93 % (31681)Time elapsed: 0.007 s
% 0.79/0.93 % (31681)Instructions burned: 11 (million)
% 0.79/0.93 % (31681)------------------------------
% 0.79/0.93 % (31681)------------------------------
% 0.79/0.93 % (31686)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 (2994ds/117Mi)
% 0.79/0.93 % (31685)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 (2994ds/243Mi)
% 0.79/0.93 % (31687)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 (2994ds/143Mi)
% 0.79/0.93 % (31688)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 (2994ds/93Mi)
% 0.79/0.94 % (31686)Refutation not found, incomplete strategy% (31686)------------------------------
% 0.79/0.94 % (31686)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.94 % (31686)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.94
% 0.79/0.94 % (31686)Memory used [KB]: 1020
% 0.79/0.94 % (31686)Time elapsed: 0.003 s
% 0.79/0.94 % (31686)Instructions burned: 4 (million)
% 0.79/0.94 % (31689)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 (2994ds/62Mi)
% 0.79/0.94 % (31686)------------------------------
% 0.79/0.94 % (31686)------------------------------
% 0.79/0.94 % (31687)Refutation not found, incomplete strategy% (31687)------------------------------
% 0.79/0.94 % (31687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.94 % (31687)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.94
% 0.79/0.94 % (31687)Memory used [KB]: 1084
% 0.79/0.94 % (31687)Time elapsed: 0.003 s
% 0.79/0.94 % (31687)Instructions burned: 4 (million)
% 0.79/0.94 % (31687)------------------------------
% 0.79/0.94 % (31687)------------------------------
% 0.79/0.94 % (31689)Refutation not found, incomplete strategy% (31689)------------------------------
% 0.79/0.94 % (31689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.94 % (31689)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.94
% 0.79/0.94 % (31689)Memory used [KB]: 1020
% 0.79/0.94 % (31689)Time elapsed: 0.003 s
% 0.79/0.94 % (31689)Instructions burned: 4 (million)
% 0.79/0.94 % (31689)------------------------------
% 0.79/0.94 % (31689)------------------------------
% 0.79/0.94 % (31690)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 (2994ds/32Mi)
% 0.79/0.94 % (31691)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 (2994ds/1919Mi)
% 0.79/0.94 % (31692)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 (2994ds/55Mi)
% 0.79/0.94 % (31690)Refutation not found, incomplete strategy% (31690)------------------------------
% 0.79/0.94 % (31690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.94 % (31690)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.94
% 0.79/0.94 % (31690)Memory used [KB]: 1085
% 0.79/0.94 % (31690)Time elapsed: 0.005 s
% 0.79/0.94 % (31690)Instructions burned: 7 (million)
% 0.79/0.94 % (31690)------------------------------
% 0.79/0.94 % (31690)------------------------------
% 0.79/0.94 % (31691)Refutation not found, incomplete strategy% (31691)------------------------------
% 0.79/0.94 % (31691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.94 % (31691)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.94
% 0.79/0.94 % (31691)Memory used [KB]: 1078
% 0.79/0.94 % (31691)Time elapsed: 0.005 s
% 0.79/0.94 % (31691)Instructions burned: 7 (million)
% 0.79/0.94 % (31672)First to succeed.
% 0.79/0.94 % (31691)------------------------------
% 0.79/0.94 % (31691)------------------------------
% 0.79/0.94 % (31692)Refutation not found, incomplete strategy% (31692)------------------------------
% 0.79/0.94 % (31692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.94 % (31692)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.94
% 0.79/0.94 % (31692)Memory used [KB]: 1107
% 0.79/0.94 % (31692)Time elapsed: 0.004 s
% 0.79/0.94 % (31692)Instructions burned: 6 (million)
% 0.79/0.94 % (31692)------------------------------
% 0.79/0.94 % (31692)------------------------------
% 0.79/0.95 % (31672)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31670"
% 0.79/0.95 % (31693)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 (2994ds/53Mi)
% 0.79/0.95 % (31694)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.79/0.95 % (31672)Refutation found. Thanks to Tanya!
% 0.79/0.95 % SZS status Unsatisfiable for theBenchmark
% 0.79/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.95 % (31672)------------------------------
% 0.79/0.95 % (31672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.95 % (31672)Termination reason: Refutation
% 0.79/0.95
% 0.79/0.95 % (31672)Memory used [KB]: 1465
% 0.79/0.95 % (31672)Time elapsed: 0.027 s
% 0.79/0.95 % (31672)Instructions burned: 47 (million)
% 0.79/0.95 % (31670)Success in time 0.577 s
% 0.79/0.95 % Vampire---4.8 exiting
%------------------------------------------------------------------------------