TSTP Solution File: GRP313-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP313-1 : 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 : n027.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 02:28:29 EDT 2024
% Result : Unsatisfiable 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 52
% Syntax : Number of formulae : 153 ( 4 unt; 0 def)
% Number of atoms : 459 ( 170 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 561 ( 255 ~; 287 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f421,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f87,f92,f97,f98,f102,f103,f108,f109,f113,f114,f121,f122,f124,f125,f132,f133,f135,f136,f143,f144,f145,f146,f147,f154,f155,f156,f157,f158,f171,f217,f252,f272,f300,f303,f307,f347,f366,f374,f399,f401,f420]) ).
fof(f420,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f417,f160,f94,f105]) ).
fof(f105,plain,
( spl0_10
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f94,plain,
( spl0_9
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f160,plain,
( spl0_15
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f417,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f161,f96]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f161,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f401,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f400,f149,f138,f89,f55,f274]) ).
fof(f274,plain,
( spl0_24
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f55,plain,
( spl0_1
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f89,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f138,plain,
( spl0_13
<=> sk_c9 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f149,plain,
( spl0_14
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f400,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f91,f332]) ).
fof(f332,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f329,f57]) ).
fof(f57,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f329,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f320,f140]) ).
fof(f140,plain,
( sk_c9 = multiply(sk_c3,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f320,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f319,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',left_identity) ).
fof(f319,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f310]) ).
fof(f310,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f2,f151]) ).
fof(f151,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',associativity) ).
fof(f91,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f399,plain,
( ~ spl0_12
| ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f398,f163,f149,f138,f116,f55,f127]) ).
fof(f127,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f116,plain,
( spl0_11
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f163,plain,
( spl0_16
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f398,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f397]) ).
fof(f397,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f388,f332]) ).
fof(f388,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f380,f118]) ).
fof(f118,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f380,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f164,f332]) ).
fof(f164,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f374,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f367,f169,f149,f138,f55,f166]) ).
fof(f166,plain,
( spl0_17
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f169,plain,
( spl0_18
<=> ! [X8] :
( sk_c7 != inverse(X8)
| sk_c9 != multiply(X8,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f367,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f170,f332]) ).
fof(f170,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c7)
| sk_c7 != inverse(X8) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f366,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f361,f166,f138,f149]) ).
fof(f361,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f360]) ).
fof(f360,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f167,f140]) ).
fof(f167,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f347,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f335,f329]) ).
fof(f335,plain,
( sk_c8 != multiply(sk_c8,sk_c9)
| ~ spl0_1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f80,f332]) ).
fof(f80,plain,
( sk_c8 != multiply(sk_c7,sk_c9)
| spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c7,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f307,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_24 ),
inference(trivial_inequality_removal,[],[f305]) ).
fof(f305,plain,
( sk_c8 != sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_24 ),
inference(superposition,[],[f304,f201]) ).
fof(f201,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f199,f81]) ).
fof(f81,plain,
( sk_c8 = multiply(sk_c7,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f199,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f190,f86]) ).
fof(f86,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_7
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f181,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f174]) ).
fof(f174,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f2,f91]) ).
fof(f304,plain,
( sk_c8 != sk_c7
| ~ spl0_8
| spl0_24 ),
inference(superposition,[],[f276,f91]) ).
fof(f276,plain,
( sk_c8 != inverse(sk_c6)
| spl0_24 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f303,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f302,f169,f89,f84,f79,f166]) ).
fof(f302,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c8 != inverse(X8) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f301,f201]) ).
fof(f301,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c9 != multiply(X8,sk_c7) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f170,f201]) ).
fof(f300,plain,
( ~ spl0_24
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f285,f166,f89,f84,f79,f274]) ).
fof(f285,plain,
( sk_c8 != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f284]) ).
fof(f284,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f167,f206]) ).
fof(f206,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f86,f201]) ).
fof(f272,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f271,f163,f89,f84,f79,f69,f74]) ).
fof(f74,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f69,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f271,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f259,f201]) ).
fof(f259,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f253,f71]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f253,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f164,f201]) ).
fof(f252,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f229,f160,f59,f64]) ).
fof(f64,plain,
( spl0_3
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f59,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f229,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f161,f61]) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f217,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f215]) ).
fof(f215,plain,
( sk_c8 != sk_c8
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f213,f201]) ).
fof(f213,plain,
( sk_c8 != sk_c7
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f56,f207]) ).
fof(f207,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f81,f201]) ).
fof(f56,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f171,plain,
( ~ spl0_1
| spl0_15
| spl0_16
| spl0_17
| spl0_15
| spl0_16
| ~ spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f53,f169,f79,f163,f160,f166,f163,f160,f55]) ).
fof(f53,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != inverse(X8)
| sk_c9 != multiply(X8,sk_c7)
| sk_c8 != multiply(sk_c7,sk_c9)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_50) ).
fof(f158,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f89,f149]) ).
fof(f52,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_49) ).
fof(f157,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f84,f149]) ).
fof(f51,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_48) ).
fof(f156,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f79,f149]) ).
fof(f50,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_47) ).
fof(f155,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f74,f149]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_46) ).
fof(f154,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f69,f149]) ).
fof(f48,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_45) ).
fof(f147,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f89,f138]) ).
fof(f45,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_42) ).
fof(f146,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f84,f138]) ).
fof(f44,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_41) ).
fof(f145,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f79,f138]) ).
fof(f43,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_40) ).
fof(f144,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f74,f138]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_39) ).
fof(f143,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f69,f138]) ).
fof(f41,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_38) ).
fof(f136,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f38,f89,f127]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_35) ).
fof(f135,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f84,f127]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_34) ).
fof(f133,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f74,f127]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_32) ).
fof(f132,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f69,f127]) ).
fof(f34,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_31) ).
fof(f125,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f89,f116]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_28) ).
fof(f124,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f84,f116]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_27) ).
fof(f122,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f74,f116]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_25) ).
fof(f121,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f69,f116]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_24) ).
fof(f114,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f89,f105]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_21) ).
fof(f113,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f84,f105]) ).
fof(f23,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_20) ).
fof(f109,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f64,f105]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_16) ).
fof(f108,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f59,f105]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_15) ).
fof(f103,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f89,f94]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_14) ).
fof(f102,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f84,f94]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_13) ).
fof(f98,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f64,f94]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_9) ).
fof(f97,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f59,f94]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_8) ).
fof(f92,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f89,f55]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_7) ).
fof(f87,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f84,f55]) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_6) ).
fof(f82,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f79,f55]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.nOP8UFjEgH/Vampire---4.8_25209',prove_this_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP313-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11 % 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
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 18:51:02 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.31 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.nOP8UFjEgH/Vampire---4.8_25209
% 0.61/0.79 % (25322)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 (2995ds/34Mi)
% 0.61/0.79 % (25321)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79 % (25324)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 (2995ds/83Mi)
% 0.61/0.79 % (25323)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79 % (25320)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (25318)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 (2995ds/34Mi)
% 0.61/0.79 % (25325)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 (2995ds/56Mi)
% 0.61/0.79 % (25319)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 (2995ds/51Mi)
% 0.61/0.79 % (25325)Refutation not found, incomplete strategy% (25325)------------------------------
% 0.61/0.79 % (25325)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (25325)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (25325)Memory used [KB]: 1018
% 0.61/0.79 % (25325)Time elapsed: 0.003 s
% 0.61/0.79 % (25325)Instructions burned: 4 (million)
% 0.61/0.79 % (25325)------------------------------
% 0.61/0.79 % (25325)------------------------------
% 0.61/0.79 % (25318)Refutation not found, incomplete strategy% (25318)------------------------------
% 0.61/0.79 % (25318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (25318)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (25321)Refutation not found, incomplete strategy% (25321)------------------------------
% 0.61/0.79 % (25321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (25318)Memory used [KB]: 1017
% 0.61/0.79 % (25318)Time elapsed: 0.004 s
% 0.61/0.79 % (25318)Instructions burned: 4 (million)
% 0.61/0.79 % (25318)------------------------------
% 0.61/0.79 % (25318)------------------------------
% 0.61/0.79 % (25322)Refutation not found, incomplete strategy% (25322)------------------------------
% 0.61/0.79 % (25322)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (25321)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (25321)Memory used [KB]: 997
% 0.61/0.79 % (25321)Time elapsed: 0.004 s
% 0.61/0.79 % (25321)Instructions burned: 4 (million)
% 0.61/0.79 % (25321)------------------------------
% 0.61/0.79 % (25321)------------------------------
% 0.61/0.79 % (25322)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (25322)Memory used [KB]: 1032
% 0.61/0.79 % (25322)Time elapsed: 0.004 s
% 0.61/0.79 % (25322)Instructions burned: 5 (million)
% 0.61/0.79 % (25322)------------------------------
% 0.61/0.79 % (25322)------------------------------
% 0.61/0.79 % (25320)Refutation not found, incomplete strategy% (25320)------------------------------
% 0.61/0.79 % (25320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (25320)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (25320)Memory used [KB]: 1069
% 0.61/0.79 % (25320)Time elapsed: 0.005 s
% 0.61/0.79 % (25320)Instructions burned: 6 (million)
% 0.61/0.79 % (25320)------------------------------
% 0.61/0.79 % (25320)------------------------------
% 0.61/0.80 % (25327)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 (2995ds/50Mi)
% 0.61/0.80 % (25329)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 (2995ds/52Mi)
% 0.61/0.80 % (25326)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 (2995ds/55Mi)
% 0.61/0.80 % (25328)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 (2995ds/208Mi)
% 0.61/0.80 % (25330)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 (2995ds/518Mi)
% 0.61/0.80 % (25319)First to succeed.
% 0.61/0.80 % (25329)Refutation not found, incomplete strategy% (25329)------------------------------
% 0.61/0.80 % (25329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25329)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25329)Memory used [KB]: 1069
% 0.61/0.80 % (25329)Time elapsed: 0.004 s
% 0.61/0.80 % (25329)Instructions burned: 6 (million)
% 0.61/0.80 % (25329)------------------------------
% 0.61/0.80 % (25329)------------------------------
% 0.61/0.80 % (25327)Refutation not found, incomplete strategy% (25327)------------------------------
% 0.61/0.80 % (25327)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25327)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25327)Memory used [KB]: 1067
% 0.61/0.80 % (25327)Time elapsed: 0.004 s
% 0.61/0.80 % (25327)Instructions burned: 7 (million)
% 0.61/0.80 % (25327)------------------------------
% 0.61/0.80 % (25327)------------------------------
% 0.61/0.80 % (25326)Refutation not found, incomplete strategy% (25326)------------------------------
% 0.61/0.80 % (25326)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25326)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25326)Memory used [KB]: 1098
% 0.61/0.80 % (25326)Time elapsed: 0.005 s
% 0.61/0.80 % (25326)Instructions burned: 6 (million)
% 0.61/0.80 % (25326)------------------------------
% 0.61/0.80 % (25326)------------------------------
% 0.61/0.80 % (25319)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (25319)------------------------------
% 0.61/0.80 % (25319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25319)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (25319)Memory used [KB]: 1160
% 0.61/0.80 % (25319)Time elapsed: 0.012 s
% 0.61/0.80 % (25319)Instructions burned: 17 (million)
% 0.61/0.80 % (25319)------------------------------
% 0.61/0.80 % (25319)------------------------------
% 0.61/0.80 % (25317)Success in time 0.48 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------