TSTP Solution File: GRP333-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP333-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:08:08 EDT 2024
% Result : Unsatisfiable 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of formulae : 163 ( 6 unt; 0 def)
% Number of atoms : 463 ( 171 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 588 ( 288 ~; 282 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1344,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f35,f40,f45,f50,f51,f52,f53,f58,f60,f61,f66,f68,f69,f86,f89,f95,f115,f125,f352,f652,f657,f678,f927,f1042,f1073,f1103,f1127,f1156,f1178,f1195,f1196,f1342]) ).
fof(f1342,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1341,f102,f42,f37,f118]) ).
fof(f118,plain,
( spl0_18
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f37,plain,
( spl0_4
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f42,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f102,plain,
( spl0_16
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1341,plain,
( sk_c6 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1325,f103]) ).
fof(f103,plain,
( sk_c6 = sk_c5
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f1325,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f4,f1296]) ).
fof(f1296,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f1236,f1240]) ).
fof(f1240,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1239,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1239,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(identity,X0))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f3,f1238]) ).
fof(f1238,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1237,f1199]) ).
fof(f1199,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1237,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1205,f103]) ).
fof(f1205,plain,
( multiply(sk_c5,sk_c4) = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f146,f1199]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f39]) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
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(f1236,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1206,f1]) ).
fof(f1206,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f1199]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f1196,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1191,f118,f102,f81,f63,f55]) ).
fof(f55,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f63,plain,
( spl0_8
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f81,plain,
( spl0_12
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c6 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1191,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1184]) ).
fof(f1184,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f1180,f1049]) ).
fof(f1049,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f65,f103]) ).
fof(f65,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f1180,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1179,f119]) ).
fof(f119,plain,
( sk_c6 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f1179,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f82,f119]) ).
fof(f82,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f1195,plain,
( ~ spl0_6
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1194,f118,f81,f23,f47]) ).
fof(f47,plain,
( spl0_6
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f23,plain,
( spl0_1
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1194,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1193]) ).
fof(f1193,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1182,f119]) ).
fof(f1182,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f1180,f25]) ).
fof(f25,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f1178,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1173,f102,f84,f63,f55]) ).
fof(f84,plain,
( spl0_13
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1173,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1166]) ).
fof(f1166,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f1162,f1049]) ).
fof(f1162,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f85,f103]) ).
fof(f85,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f1156,plain,
( ~ spl0_6
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1155,f75,f23,f47]) ).
fof(f75,plain,
( spl0_10
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1155,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1148]) ).
fof(f1148,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f76,f25]) ).
fof(f76,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f1127,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1126,f102,f63,f55,f562]) ).
fof(f562,plain,
( spl0_23
<=> sk_c6 = multiply(sk_c6,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1126,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1120,f103]) ).
fof(f1120,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1089,f65]) ).
fof(f1089,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1086,f1]) ).
fof(f1086,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1078]) ).
fof(f1078,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f1103,plain,
( ~ spl0_16
| ~ spl0_16
| spl0_24 ),
inference(avatar_split_clause,[],[f1102,f654,f102,f102]) ).
fof(f654,plain,
( spl0_24
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1102,plain,
( sk_c6 != sk_c5
| ~ spl0_16
| spl0_24 ),
inference(superposition,[],[f1053,f4]) ).
fof(f1053,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| ~ spl0_16
| spl0_24 ),
inference(superposition,[],[f656,f103]) ).
fof(f656,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl0_24 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f1073,plain,
( spl0_18
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1072,f102,f92,f118]) ).
fof(f92,plain,
( spl0_14
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1072,plain,
( sk_c6 = sk_c7
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f93,f103]) ).
fof(f93,plain,
( sk_c7 = sk_c5
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f1042,plain,
( spl0_16
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1037,f42,f37,f32,f27,f102]) ).
fof(f27,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f32,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1037,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f4,f1026]) ).
fof(f1026,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1025,f700]) ).
fof(f700,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f669,f39]) ).
fof(f669,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f667,f1]) ).
fof(f667,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f659]) ).
fof(f659,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f44]) ).
fof(f1025,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1020,f662]) ).
fof(f662,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f29]) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f1020,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c3,multiply(sk_c7,sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f662,f1000]) ).
fof(f1000,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f988,f999]) ).
fof(f999,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f986,f693]) ).
fof(f693,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f3,f687]) ).
fof(f687,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f665,f29]) ).
fof(f665,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f664,f1]) ).
fof(f664,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f658]) ).
fof(f658,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f986,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f693,f699]) ).
fof(f699,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f669,f146]) ).
fof(f988,plain,
( multiply(sk_c7,multiply(sk_c5,sk_c7)) = multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f693,f701]) ).
fof(f701,plain,
( sk_c5 = multiply(sk_c6,multiply(sk_c5,sk_c7))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f669,f168]) ).
fof(f168,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c4,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f146,f4]) ).
fof(f927,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f909,f562,f47,f92]) ).
fof(f909,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f4,f869]) ).
fof(f869,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f671,f511]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f508,f1]) ).
fof(f508,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f489]) ).
fof(f489,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_6 ),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f671,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_23 ),
inference(superposition,[],[f3,f563]) ).
fof(f563,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f678,plain,
( spl0_16
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f674,f47,f23,f102]) ).
fof(f674,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f4,f660]) ).
fof(f660,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f511,f25]) ).
fof(f657,plain,
( ~ spl0_5
| ~ spl0_24
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f179,f78,f37,f654,f42]) ).
fof(f78,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f179,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f79,f168]) ).
fof(f79,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f652,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f651,f78,f63,f55]) ).
fof(f651,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f648]) ).
fof(f648,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f79,f65]) ).
fof(f352,plain,
( ~ spl0_18
| spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f339,f102,f92,f118]) ).
fof(f339,plain,
( sk_c6 != sk_c7
| spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f94,f103]) ).
fof(f94,plain,
( sk_c7 != sk_c5
| spl0_14 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f125,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f124,f84,f37,f42]) ).
fof(f124,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f122]) ).
fof(f122,plain,
( sk_c5 != sk_c5
| sk_c6 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f85,f39]) ).
fof(f115,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f109,f81,f27,f32]) ).
fof(f109,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f107]) ).
fof(f107,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f82,f29]) ).
fof(f95,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f90,f75,f37,f92,f42]) ).
fof(f90,plain,
( sk_c7 != sk_c5
| sk_c6 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f76,f39]) ).
fof(f89,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| spl0_9 ),
inference(trivial_inequality_removal,[],[f87]) ).
fof(f87,plain,
( sk_c5 != sk_c5
| spl0_9 ),
inference(superposition,[],[f73,f4]) ).
fof(f73,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_9
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f86,plain,
( ~ spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f84,f81,f78,f75,f71]) ).
fof(f21,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f69,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f42,f63]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f68,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f37,f63]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f66,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f27,f63]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f61,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f42,f55]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f60,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f37,f55]) ).
fof(f15,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f58,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f27,f55]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f53,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f42,f47]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f52,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f37,f47]) ).
fof(f11,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f51,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f32,f47]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f50,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f27,f47]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f45,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f42,f23]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f40,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f37,f23]) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f35,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f32,f23]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f30,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f27,f23]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP333-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.14 % 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 : n009.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 04:24:23 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
% 0.61/0.81 % (6125)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.81 % (6123)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 (2995ds/34Mi)
% 0.61/0.81 % (6128)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.81 % (6124)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 (2995ds/51Mi)
% 0.61/0.81 % (6126)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.81 % (6127)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 (2995ds/34Mi)
% 0.61/0.81 % (6129)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 (2995ds/83Mi)
% 0.61/0.82 % (6123)Refutation not found, incomplete strategy% (6123)------------------------------
% 0.61/0.82 % (6123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (6123)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (6123)Memory used [KB]: 997
% 0.61/0.82 % (6123)Time elapsed: 0.003 s
% 0.61/0.82 % (6123)Instructions burned: 3 (million)
% 0.61/0.82 % (6130)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 (2995ds/56Mi)
% 0.61/0.82 % (6123)------------------------------
% 0.61/0.82 % (6123)------------------------------
% 0.61/0.82 % (6126)Refutation not found, incomplete strategy% (6126)------------------------------
% 0.61/0.82 % (6126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (6126)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82 % (6127)Refutation not found, incomplete strategy% (6127)------------------------------
% 0.61/0.82 % (6127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (6127)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (6127)Memory used [KB]: 997
% 0.61/0.82 % (6127)Time elapsed: 0.003 s
% 0.61/0.82 % (6127)Instructions burned: 3 (million)
% 0.61/0.82
% 0.61/0.82 % (6126)Memory used [KB]: 982
% 0.61/0.82 % (6126)Time elapsed: 0.003 s
% 0.61/0.82 % (6126)Instructions burned: 3 (million)
% 0.61/0.82 % (6127)------------------------------
% 0.61/0.82 % (6127)------------------------------
% 0.61/0.82 % (6126)------------------------------
% 0.61/0.82 % (6126)------------------------------
% 0.61/0.82 % (6130)Refutation not found, incomplete strategy% (6130)------------------------------
% 0.61/0.82 % (6130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (6130)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (6130)Memory used [KB]: 982
% 0.61/0.82 % (6130)Time elapsed: 0.003 s
% 0.61/0.82 % (6130)Instructions burned: 3 (million)
% 0.61/0.82 % (6130)------------------------------
% 0.61/0.82 % (6130)------------------------------
% 0.61/0.82 % (6131)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 (2995ds/55Mi)
% 0.61/0.82 % (6133)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 (2995ds/208Mi)
% 0.61/0.82 % (6132)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 (2995ds/50Mi)
% 0.61/0.82 % (6134)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 (2995ds/52Mi)
% 0.61/0.82 % (6132)Refutation not found, incomplete strategy% (6132)------------------------------
% 0.61/0.82 % (6132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (6132)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (6132)Memory used [KB]: 993
% 0.61/0.82 % (6132)Time elapsed: 0.003 s
% 0.61/0.82 % (6132)Instructions burned: 4 (million)
% 0.61/0.82 % (6132)------------------------------
% 0.61/0.82 % (6132)------------------------------
% 0.61/0.83 % (6135)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 (2995ds/518Mi)
% 0.67/0.83 % (6128)Instruction limit reached!
% 0.67/0.83 % (6128)------------------------------
% 0.67/0.83 % (6128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83 % (6128)Termination reason: Unknown
% 0.67/0.83 % (6128)Termination phase: Saturation
% 0.67/0.83
% 0.67/0.83 % (6128)Memory used [KB]: 1483
% 0.67/0.83 % (6128)Time elapsed: 0.021 s
% 0.67/0.83 % (6128)Instructions burned: 47 (million)
% 0.67/0.83 % (6128)------------------------------
% 0.67/0.83 % (6128)------------------------------
% 0.67/0.84 % (6136)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 (2995ds/42Mi)
% 0.67/0.84 % (6136)Refutation not found, incomplete strategy% (6136)------------------------------
% 0.67/0.84 % (6136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (6136)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84
% 0.67/0.84 % (6136)Memory used [KB]: 1002
% 0.67/0.84 % (6136)Time elapsed: 0.003 s
% 0.67/0.84 % (6136)Instructions burned: 3 (million)
% 0.67/0.84 % (6136)------------------------------
% 0.67/0.84 % (6136)------------------------------
% 0.67/0.84 % (6124)First to succeed.
% 0.67/0.84 % (6137)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 (2995ds/243Mi)
% 0.67/0.84 % (6131)Instruction limit reached!
% 0.67/0.84 % (6131)------------------------------
% 0.67/0.84 % (6131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (6131)Termination reason: Unknown
% 0.67/0.84 % (6131)Termination phase: Saturation
% 0.67/0.84
% 0.67/0.84 % (6131)Memory used [KB]: 1661
% 0.67/0.84 % (6131)Time elapsed: 0.025 s
% 0.67/0.84 % (6131)Instructions burned: 56 (million)
% 0.67/0.84 % (6131)------------------------------
% 0.67/0.84 % (6131)------------------------------
% 0.67/0.84 % (6124)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6033"
% 0.67/0.84 % (6125)Instruction limit reached!
% 0.67/0.84 % (6125)------------------------------
% 0.67/0.84 % (6125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (6125)Termination reason: Unknown
% 0.67/0.84 % (6125)Termination phase: Saturation
% 0.67/0.84
% 0.67/0.84 % (6125)Memory used [KB]: 1816
% 0.67/0.84 % (6125)Time elapsed: 0.031 s
% 0.67/0.84 % (6125)Instructions burned: 80 (million)
% 0.67/0.84 % (6125)------------------------------
% 0.67/0.84 % (6125)------------------------------
% 0.67/0.84 % (6124)Refutation found. Thanks to Tanya!
% 0.67/0.84 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.85 % (6124)------------------------------
% 0.67/0.85 % (6124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (6124)Termination reason: Refutation
% 0.67/0.85
% 0.67/0.85 % (6124)Memory used [KB]: 1359
% 0.67/0.85 % (6124)Time elapsed: 0.030 s
% 0.67/0.85 % (6124)Instructions burned: 49 (million)
% 0.67/0.85 % (6033)Success in time 0.475 s
% 0.67/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------