TSTP Solution File: GRP370-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP370-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.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 Aug 31 16:15:34 EDT 2022
% Result : Unsatisfiable 1.95s 0.66s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 59
% Syntax : Number of formulae : 288 ( 32 unt; 0 def)
% Number of atoms : 903 ( 348 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1187 ( 572 ~; 595 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1770,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f101,f106,f119,f124,f129,f135,f140,f141,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f154,f155,f156,f157,f158,f159,f256,f317,f351,f378,f427,f506,f844,f1015,f1551,f1612,f1627,f1640,f1667,f1683,f1726,f1769]) ).
fof(f1769,plain,
( ~ spl11_34
| ~ spl11_35 ),
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f1768,plain,
( $false
| ~ spl11_34
| ~ spl11_35 ),
inference(trivial_inequality_removal,[],[f1767]) ).
fof(f1767,plain,
( identity != identity
| ~ spl11_34
| ~ spl11_35 ),
inference(superposition,[],[f1749,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1749,plain,
( ! [X3] : identity != multiply(inverse(X3),sk_c7)
| ~ spl11_34
| ~ spl11_35 ),
inference(forward_demodulation,[],[f1662,f1665]) ).
fof(f1665,plain,
( identity = sk_c8
| ~ spl11_35 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1664,plain,
( spl11_35
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
fof(f1662,plain,
( ! [X3] : sk_c8 != multiply(inverse(X3),sk_c7)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1661,plain,
( spl11_34
<=> ! [X3] : sk_c8 != multiply(inverse(X3),sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
fof(f1726,plain,
( spl11_35
| ~ spl11_4
| ~ spl11_7
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1725,f131,f103,f89,f1664]) ).
fof(f89,plain,
( spl11_4
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f103,plain,
( spl11_7
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f131,plain,
( spl11_14
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1725,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_7
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1703,f2]) ).
fof(f1703,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_14 ),
inference(backward_demodulation,[],[f764,f1698]) ).
fof(f1698,plain,
( sk_c7 = sk_c9
| ~ spl11_4
| ~ spl11_7
| ~ spl11_14 ),
inference(backward_demodulation,[],[f761,f1697]) ).
fof(f1697,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl11_4
| ~ spl11_14 ),
inference(backward_demodulation,[],[f1656,f133]) ).
fof(f133,plain,
( sk_c7 = sF4
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f1656,plain,
( sk_c7 = multiply(sF4,sk_c8)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f1603,f91]) ).
fof(f91,plain,
( sk_c8 = sF9
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f1603,plain,
sk_c7 = multiply(sF4,sF9),
inference(forward_demodulation,[],[f1601,f41]) ).
fof(f41,plain,
inverse(sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f1601,plain,
sk_c7 = multiply(inverse(sk_c4),sF9),
inference(superposition,[],[f181,f58]) ).
fof(f58,plain,
multiply(sk_c4,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f181,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f173,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f173,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f761,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| ~ spl11_7 ),
inference(backward_demodulation,[],[f47,f105]) ).
fof(f105,plain,
( sk_c9 = sF7
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f47,plain,
multiply(sk_c7,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f764,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c9)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f204,f105]) ).
fof(f204,plain,
sk_c8 = multiply(inverse(sk_c7),sF7),
inference(superposition,[],[f181,f47]) ).
fof(f1683,plain,
spl11_22,
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1682,plain,
( $false
| spl11_22 ),
inference(subsumption_resolution,[],[f346,f1496]) ).
fof(f1496,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(superposition,[],[f202,f1430]) ).
fof(f1430,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f203,f202]) ).
fof(f203,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f181,f181]) ).
fof(f202,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f181,f2]) ).
fof(f346,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl11_22 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl11_22
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f1667,plain,
( spl11_34
| ~ spl11_35
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f1659,f114,f1664,f1661]) ).
fof(f114,plain,
( spl11_10
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1659,plain,
( ! [X3] :
( identity != sk_c8
| sk_c8 != multiply(inverse(X3),sk_c7) )
| ~ spl11_10 ),
inference(forward_demodulation,[],[f115,f1436]) ).
fof(f1436,plain,
! [X1] : identity = multiply(X1,inverse(X1)),
inference(superposition,[],[f2,f203]) ).
fof(f115,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f1640,plain,
( ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f1639]) ).
fof(f1639,plain,
( $false
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f1638,f1496]) ).
fof(f1638,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f1632,f349]) ).
fof(f349,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl11_23
<=> sk_c7 = multiply(sk_c7,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f1632,plain,
( sk_c7 != multiply(sk_c7,identity)
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_23 ),
inference(superposition,[],[f1629,f2]) ).
fof(f1629,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c7 != inverse(X8) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_23 ),
inference(forward_demodulation,[],[f1628,f1017]) ).
fof(f1017,plain,
( sk_c7 = sk_c9
| ~ spl11_1
| ~ spl11_7
| ~ spl11_17
| ~ spl11_23 ),
inference(backward_demodulation,[],[f859,f349]) ).
fof(f859,plain,
( sk_c9 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_17 ),
inference(backward_demodulation,[],[f761,f845]) ).
fof(f845,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_17 ),
inference(backward_demodulation,[],[f78,f304]) ).
fof(f304,plain,
( identity = sF2
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl11_17
<=> identity = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f78,plain,
( sk_c8 = sF2
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl11_1
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f1628,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c9 != inverse(X8) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_23 ),
inference(forward_demodulation,[],[f112,f1017]) ).
fof(f112,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X8) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl11_9
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f1627,plain,
( ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1626,plain,
( $false
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f1625,f1496]) ).
fof(f1625,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(trivial_inequality_removal,[],[f1620]) ).
fof(f1620,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(superposition,[],[f1617,f2]) ).
fof(f1617,plain,
( ! [X5] :
( identity != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(forward_demodulation,[],[f1616,f845]) ).
fof(f1616,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(forward_demodulation,[],[f1615,f1017]) ).
fof(f1615,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_17
| ~ spl11_23 ),
inference(forward_demodulation,[],[f109,f1017]) ).
fof(f109,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl11_8
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1612,plain,
( ~ spl11_1
| ~ spl11_10
| ~ spl11_17 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1611,plain,
( $false
| ~ spl11_1
| ~ spl11_10
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f1610]) ).
fof(f1610,plain,
( identity != identity
| ~ spl11_1
| ~ spl11_10
| ~ spl11_17 ),
inference(superposition,[],[f1568,f2]) ).
fof(f1568,plain,
( ! [X3] : identity != multiply(inverse(X3),sk_c7)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1567,f845]) ).
fof(f1567,plain,
( ! [X3] : sk_c8 != multiply(inverse(X3),sk_c7)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f1566,f845]) ).
fof(f1566,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| identity != sk_c8 )
| ~ spl11_10 ),
inference(forward_demodulation,[],[f115,f1436]) ).
fof(f1551,plain,
( ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1550,plain,
( $false
| ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f1549,f1496]) ).
fof(f1549,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1495,f1]) ).
fof(f1495,plain,
( sk_c7 != inverse(inverse(multiply(identity,sk_c7)))
| ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(superposition,[],[f1192,f1430]) ).
fof(f1192,plain,
( ! [X5] : sk_c7 != inverse(multiply(inverse(multiply(X5,sk_c7)),X5))
| ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f1186]) ).
fof(f1186,plain,
( ! [X5] :
( sk_c7 != inverse(multiply(inverse(multiply(X5,sk_c7)),X5))
| identity != identity )
| ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(superposition,[],[f866,f2]) ).
fof(f866,plain,
( ! [X0,X1] :
( identity != multiply(X0,multiply(X1,sk_c7))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl11_1
| ~ spl11_11
| ~ spl11_17 ),
inference(backward_demodulation,[],[f789,f845]) ).
fof(f789,plain,
( ! [X0,X1] :
( sk_c7 != inverse(multiply(X0,X1))
| sk_c8 != multiply(X0,multiply(X1,sk_c7)) )
| ~ spl11_11 ),
inference(superposition,[],[f118,f3]) ).
fof(f118,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl11_11
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1015,plain,
( spl11_23
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f1005,f303,f94,f85,f76,f348]) ).
fof(f85,plain,
( spl11_3
<=> sk_c2 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f94,plain,
( spl11_5
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1005,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_17 ),
inference(superposition,[],[f883,f875]) ).
fof(f875,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_17 ),
inference(backward_demodulation,[],[f355,f874]) ).
fof(f874,plain,
( sk_c7 = sk_c1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_17 ),
inference(backward_demodulation,[],[f353,f856]) ).
fof(f856,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl11_1
| ~ spl11_17 ),
inference(backward_demodulation,[],[f363,f845]) ).
fof(f363,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f215,f78]) ).
fof(f215,plain,
sk_c7 = multiply(inverse(sk_c2),sF2),
inference(superposition,[],[f181,f38]) ).
fof(f38,plain,
multiply(sk_c2,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f353,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f216,f87]) ).
fof(f87,plain,
( sk_c2 = sF5
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f216,plain,
sk_c1 = multiply(inverse(sF5),identity),
inference(superposition,[],[f181,f170]) ).
fof(f170,plain,
identity = multiply(sF5,sk_c1),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f355,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f170,f87]) ).
fof(f883,plain,
( ! [X13] : multiply(sk_c7,multiply(sk_c2,X13)) = X13
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_17 ),
inference(forward_demodulation,[],[f882,f874]) ).
fof(f882,plain,
( ! [X13] : multiply(sk_c1,multiply(sk_c2,X13)) = X13
| ~ spl11_1
| ~ spl11_5
| ~ spl11_17 ),
inference(forward_demodulation,[],[f865,f1]) ).
fof(f865,plain,
( ! [X13] : multiply(sk_c1,multiply(sk_c2,X13)) = multiply(identity,X13)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_17 ),
inference(backward_demodulation,[],[f767,f845]) ).
fof(f767,plain,
( ! [X13] : multiply(sk_c1,multiply(sk_c2,X13)) = multiply(sk_c8,X13)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f179,f96]) ).
fof(f96,plain,
( sk_c8 = sF1
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f179,plain,
! [X13] : multiply(sk_c1,multiply(sk_c2,X13)) = multiply(sF1,X13),
inference(superposition,[],[f3,f36]) ).
fof(f36,plain,
multiply(sk_c1,sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f844,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| spl11_17 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| spl11_17 ),
inference(subsumption_resolution,[],[f842,f774]) ).
fof(f774,plain,
( identity != sk_c8
| ~ spl11_1
| spl11_17 ),
inference(superposition,[],[f305,f78]) ).
fof(f305,plain,
( identity != sF2
| spl11_17 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f842,plain,
( identity = sk_c8
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f840,f2]) ).
fof(f840,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f181,f765]) ).
fof(f765,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_3
| ~ spl11_5 ),
inference(backward_demodulation,[],[f352,f96]) ).
fof(f352,plain,
( sk_c2 = multiply(sk_c2,sF1)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f263,f87]) ).
fof(f263,plain,
sk_c2 = multiply(sF5,sF1),
inference(forward_demodulation,[],[f214,f43]) ).
fof(f214,plain,
sk_c2 = multiply(inverse(sk_c1),sF1),
inference(superposition,[],[f181,f36]) ).
fof(f506,plain,
( ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f504,f267]) ).
fof(f267,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f165,f240]) ).
fof(f240,plain,
( sk_c7 = sk_c9
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f239,f161]) ).
fof(f161,plain,
( sk_c7 = multiply(sk_c9,sk_c6)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f46,f82]) ).
fof(f82,plain,
( sk_c7 = sF6
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_2
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f46,plain,
multiply(sk_c9,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f239,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f213,f164]) ).
fof(f164,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f35,f100]) ).
fof(f100,plain,
( sk_c9 = sF0
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_6
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f35,plain,
inverse(sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f213,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c6)
| ~ spl11_12 ),
inference(superposition,[],[f181,f163]) ).
fof(f163,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f66,f123]) ).
fof(f123,plain,
( sk_c6 = sF10
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl11_12
<=> sk_c6 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f66,plain,
multiply(sk_c5,sk_c9) = sF10,
introduced(function_definition,[]) ).
fof(f165,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f53,f128]) ).
fof(f128,plain,
( sk_c9 = sF8
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl11_13
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f53,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f504,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f500,plain,
( sk_c7 != inverse(sk_c3)
| identity != identity
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(superposition,[],[f481,f369]) ).
fof(f369,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f368,f240]) ).
fof(f368,plain,
( identity = multiply(sk_c3,sk_c9)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f248,f341]) ).
fof(f341,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f340,f2]) ).
fof(f340,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f209,f240]) ).
fof(f209,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c7)
| ~ spl11_2 ),
inference(superposition,[],[f181,f161]) ).
fof(f248,plain,
( multiply(sk_c3,sk_c9) = sk_c6
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f163,f243]) ).
fof(f243,plain,
( sk_c3 = sk_c5
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f210,f208]) ).
fof(f208,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl11_13 ),
inference(superposition,[],[f181,f167]) ).
fof(f167,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl11_13 ),
inference(superposition,[],[f2,f165]) ).
fof(f210,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl11_6 ),
inference(superposition,[],[f181,f169]) ).
fof(f169,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl11_6 ),
inference(superposition,[],[f2,f164]) ).
fof(f481,plain,
( ! [X6] :
( identity != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f118,f399]) ).
fof(f399,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_12 ),
inference(forward_demodulation,[],[f398,f2]) ).
fof(f398,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_12 ),
inference(forward_demodulation,[],[f204,f342]) ).
fof(f342,plain,
( sk_c7 = sF7
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_12 ),
inference(forward_demodulation,[],[f105,f240]) ).
fof(f427,plain,
( spl11_23
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f426,f137,f126,f121,f98,f80,f348]) ).
fof(f137,plain,
( spl11_15
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f426,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f425,f240]) ).
fof(f425,plain,
( sk_c9 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f424,f267]) ).
fof(f424,plain,
( sk_c9 = multiply(inverse(sk_c3),identity)
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f211,f262]) ).
fof(f262,plain,
( identity = sk_c8
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f207,f2]) ).
fof(f207,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f181,f192]) ).
fof(f192,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f185,f162]) ).
fof(f162,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl11_15 ),
inference(backward_demodulation,[],[f39,f139]) ).
fof(f139,plain,
( sk_c8 = sF3
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f39,plain,
multiply(sk_c3,sk_c9) = sF3,
introduced(function_definition,[]) ).
fof(f185,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl11_13 ),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl11_13 ),
inference(superposition,[],[f3,f167]) ).
fof(f211,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl11_15 ),
inference(superposition,[],[f181,f162]) ).
fof(f378,plain,
( spl11_17
| ~ spl11_1
| ~ spl11_13
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f371,f137,f126,f76,f303]) ).
fof(f371,plain,
( identity = sF2
| ~ spl11_1
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f78,f262]) ).
fof(f351,plain,
( ~ spl11_22
| ~ spl11_23
| ~ spl11_2
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f322,f121,f111,f98,f80,f348,f344]) ).
fof(f322,plain,
( sk_c7 != multiply(sk_c7,identity)
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_2
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12 ),
inference(superposition,[],[f319,f2]) ).
fof(f319,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c7 != inverse(X8) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f318,f240]) ).
fof(f318,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c9 != inverse(X8) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f112,f240]) ).
fof(f317,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f296,f280]) ).
fof(f280,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f166,f275]) ).
fof(f275,plain,
( sk_c3 = sk_c4
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f205,f271]) ).
fof(f271,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f208,f240]) ).
fof(f205,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl11_14 ),
inference(superposition,[],[f181,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl11_14 ),
inference(superposition,[],[f2,f166]) ).
fof(f166,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f41,f133]) ).
fof(f296,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f294,plain,
( identity != identity
| sk_c7 != inverse(sk_c3)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(superposition,[],[f284,f277]) ).
fof(f277,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f227,f275]) ).
fof(f227,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl11_4
| ~ spl11_14 ),
inference(backward_demodulation,[],[f160,f224]) ).
fof(f224,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_14 ),
inference(forward_demodulation,[],[f223,f2]) ).
fof(f223,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_4
| ~ spl11_14 ),
inference(forward_demodulation,[],[f204,f219]) ).
fof(f219,plain,
( sk_c7 = sF7
| ~ spl11_4
| ~ spl11_14 ),
inference(backward_demodulation,[],[f47,f218]) ).
fof(f218,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl11_4
| ~ spl11_14 ),
inference(forward_demodulation,[],[f212,f166]) ).
fof(f212,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl11_4 ),
inference(superposition,[],[f181,f160]) ).
fof(f160,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f58,f91]) ).
fof(f284,plain,
( ! [X5] :
( identity != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f283,f240]) ).
fof(f283,plain,
( ! [X5] :
( identity != multiply(X5,sk_c7)
| sk_c9 != inverse(X5) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f282,f224]) ).
fof(f282,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c9 != inverse(X5) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f109,f240]) ).
fof(f256,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| spl11_7
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| spl11_7
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f254,f221]) ).
fof(f221,plain,
( sk_c7 != sk_c9
| ~ spl11_4
| spl11_7
| ~ spl11_14 ),
inference(backward_demodulation,[],[f104,f219]) ).
fof(f104,plain,
( sk_c9 != sF7
| spl11_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f254,plain,
( sk_c7 = sk_c9
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f231,f253]) ).
fof(f253,plain,
( sk_c7 = multiply(sk_c9,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f161,f249]) ).
fof(f249,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f248,f228]) ).
fof(f228,plain,
( identity = multiply(sk_c3,sk_c9)
| ~ spl11_4
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f162,f224]) ).
fof(f231,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl11_4
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f192,f224]) ).
fof(f159,plain,
( spl11_2
| spl11_5 ),
inference(avatar_split_clause,[],[f52,f94,f80]) ).
fof(f52,plain,
( sk_c8 = sF1
| sk_c7 = sF6 ),
inference(definition_folding,[],[f15,f36,f46]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f158,plain,
( spl11_1
| spl11_12 ),
inference(avatar_split_clause,[],[f69,f121,f76]) ).
fof(f69,plain,
( sk_c6 = sF10
| sk_c8 = sF2 ),
inference(definition_folding,[],[f30,f38,f66]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f157,plain,
( spl11_14
| spl11_7 ),
inference(avatar_split_clause,[],[f56,f103,f131]) ).
fof(f56,plain,
( sk_c9 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f7,f41,f47]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f156,plain,
( spl11_15
| spl11_3 ),
inference(avatar_split_clause,[],[f44,f85,f137]) ).
fof(f44,plain,
( sk_c2 = sF5
| sk_c8 = sF3 ),
inference(definition_folding,[],[f18,f39,f43]) ).
fof(f18,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f155,plain,
( spl11_13
| spl11_5 ),
inference(avatar_split_clause,[],[f54,f94,f126]) ).
fof(f54,plain,
( sk_c8 = sF1
| sk_c9 = sF8 ),
inference(definition_folding,[],[f12,f53,f36]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f154,plain,
( spl11_7
| spl11_13 ),
inference(avatar_split_clause,[],[f65,f126,f103]) ).
fof(f65,plain,
( sk_c9 = sF8
| sk_c9 = sF7 ),
inference(definition_folding,[],[f5,f53,f47]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f152,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f55,f80,f85]) ).
fof(f55,plain,
( sk_c7 = sF6
| sk_c2 = sF5 ),
inference(definition_folding,[],[f22,f46,f43]) ).
fof(f22,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f151,plain,
( spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f51,f85,f98]) ).
fof(f51,plain,
( sk_c2 = sF5
| sk_c9 = sF0 ),
inference(definition_folding,[],[f24,f35,f43]) ).
fof(f24,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f150,plain,
( spl11_3
| spl11_13 ),
inference(avatar_split_clause,[],[f73,f126,f85]) ).
fof(f73,plain,
( sk_c9 = sF8
| sk_c2 = sF5 ),
inference(definition_folding,[],[f19,f43,f53]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f149,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f63,f89,f76]) ).
fof(f63,plain,
( sk_c8 = sF9
| sk_c8 = sF2 ),
inference(definition_folding,[],[f27,f38,f58]) ).
fof(f27,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f148,plain,
( spl11_3
| spl11_12 ),
inference(avatar_split_clause,[],[f71,f121,f85]) ).
fof(f71,plain,
( sk_c6 = sF10
| sk_c2 = sF5 ),
inference(definition_folding,[],[f23,f43,f66]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f147,plain,
( spl11_7
| spl11_15 ),
inference(avatar_split_clause,[],[f57,f137,f103]) ).
fof(f57,plain,
( sk_c8 = sF3
| sk_c9 = sF7 ),
inference(definition_folding,[],[f4,f47,f39]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f146,plain,
( spl11_6
| spl11_1 ),
inference(avatar_split_clause,[],[f49,f76,f98]) ).
fof(f49,plain,
( sk_c8 = sF2
| sk_c9 = sF0 ),
inference(definition_folding,[],[f31,f35,f38]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f145,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f64,f103,f98]) ).
fof(f64,plain,
( sk_c9 = sF7
| sk_c9 = sF0 ),
inference(definition_folding,[],[f10,f47,f35]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f144,plain,
( spl11_5
| spl11_15 ),
inference(avatar_split_clause,[],[f50,f137,f94]) ).
fof(f50,plain,
( sk_c8 = sF3
| sk_c8 = sF1 ),
inference(definition_folding,[],[f11,f36,f39]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f143,plain,
( spl11_7
| spl11_12 ),
inference(avatar_split_clause,[],[f74,f121,f103]) ).
fof(f74,plain,
( sk_c6 = sF10
| sk_c9 = sF7 ),
inference(definition_folding,[],[f9,f47,f66]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f141,plain,
( spl11_7
| spl11_2 ),
inference(avatar_split_clause,[],[f48,f80,f103]) ).
fof(f48,plain,
( sk_c7 = sF6
| sk_c9 = sF7 ),
inference(definition_folding,[],[f8,f47,f46]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f140,plain,
( spl11_1
| spl11_15 ),
inference(avatar_split_clause,[],[f40,f137,f76]) ).
fof(f40,plain,
( sk_c8 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f25,f39,f38]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f135,plain,
( spl11_14
| spl11_1 ),
inference(avatar_split_clause,[],[f42,f76,f131]) ).
fof(f42,plain,
( sk_c8 = sF2
| sk_c7 = sF4 ),
inference(definition_folding,[],[f28,f41,f38]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f129,plain,
( spl11_13
| spl11_1 ),
inference(avatar_split_clause,[],[f72,f76,f126]) ).
fof(f72,plain,
( sk_c8 = sF2
| sk_c9 = sF8 ),
inference(definition_folding,[],[f26,f38,f53]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f124,plain,
( spl11_12
| spl11_5 ),
inference(avatar_split_clause,[],[f67,f94,f121]) ).
fof(f67,plain,
( sk_c8 = sF1
| sk_c6 = sF10 ),
inference(definition_folding,[],[f16,f66,f36]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f119,plain,
( ~ spl11_7
| spl11_8
| spl11_9
| spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f68,f117,f114,f111,f108,f103]) ).
fof(f68,plain,
! [X3,X8,X6,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c9 != inverse(X8)
| sk_c7 != inverse(X6)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != sF7 ),
inference(definition_folding,[],[f34,f47]) ).
fof(f34,plain,
! [X3,X8,X6,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X8)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| multiply(sk_c7,sk_c8) != sk_c9 ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X5)
| inverse(X3) != X4
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X8)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X3,X4)
| multiply(sk_c7,sk_c8) != sk_c9 ),
inference(equality_resolution,[],[f32]) ).
fof(f32,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c9) != X7
| sk_c9 != inverse(X5)
| inverse(X3) != X4
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X8)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(sk_c9,X7)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X3,X4)
| multiply(sk_c7,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f106,plain,
( spl11_4
| spl11_7 ),
inference(avatar_split_clause,[],[f61,f103,f89]) ).
fof(f61,plain,
( sk_c9 = sF7
| sk_c8 = sF9 ),
inference(definition_folding,[],[f6,f58,f47]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f101,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f37,f98,f94]) ).
fof(f37,plain,
( sk_c9 = sF0
| sk_c8 = sF1 ),
inference(definition_folding,[],[f17,f36,f35]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f83,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f70,f80,f76]) ).
fof(f70,plain,
( sk_c7 = sF6
| sk_c8 = sF2 ),
inference(definition_folding,[],[f29,f46,f38]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP370-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:49:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (3762)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.49 % (3754)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (3746)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (3753)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (3744)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (3758)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.51 % (3745)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.40/0.52 % (3753)Instruction limit reached!
% 1.40/0.52 % (3753)------------------------------
% 1.40/0.52 % (3753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (3768)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.40/0.52 % (3769)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.52 % (3742)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.40/0.52 % (3743)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.40/0.52 % (3753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (3753)Termination reason: Unknown
% 1.40/0.52 % (3753)Termination phase: Saturation
% 1.40/0.52
% 1.40/0.52 % (3753)Memory used [KB]: 5884
% 1.40/0.52 % (3753)Time elapsed: 0.004 s
% 1.40/0.52 % (3753)Instructions burned: 3 (million)
% 1.40/0.52 % (3753)------------------------------
% 1.40/0.52 % (3753)------------------------------
% 1.40/0.52 % (3741)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.40/0.52 % (3743)Refutation not found, incomplete strategy% (3743)------------------------------
% 1.40/0.52 % (3743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (3743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (3743)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.52
% 1.40/0.52 % (3743)Memory used [KB]: 5884
% 1.40/0.52 % (3743)Time elapsed: 0.126 s
% 1.40/0.52 % (3743)Instructions burned: 3 (million)
% 1.40/0.52 % (3743)------------------------------
% 1.40/0.52 % (3743)------------------------------
% 1.40/0.52 % (3742)Instruction limit reached!
% 1.40/0.52 % (3742)------------------------------
% 1.40/0.52 % (3742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (3742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (3742)Termination reason: Unknown
% 1.40/0.52 % (3742)Termination phase: Saturation
% 1.40/0.52
% 1.40/0.52 % (3742)Memory used [KB]: 5884
% 1.40/0.52 % (3742)Time elapsed: 0.127 s
% 1.40/0.52 % (3742)Instructions burned: 5 (million)
% 1.40/0.52 % (3742)------------------------------
% 1.40/0.52 % (3742)------------------------------
% 1.40/0.52 % (3749)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.52 % (3765)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.40/0.52 % (3761)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.40/0.52 % (3748)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.40/0.52 % (3766)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.40/0.52 % (3760)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.40/0.52 % (3748)Instruction limit reached!
% 1.40/0.52 % (3748)------------------------------
% 1.40/0.52 % (3748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (3748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (3748)Termination reason: Unknown
% 1.40/0.52 % (3748)Termination phase: Saturation
% 1.40/0.52
% 1.40/0.52 % (3761)Refutation not found, incomplete strategy% (3761)------------------------------
% 1.40/0.52 % (3761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (3748)Memory used [KB]: 5884
% 1.40/0.52 % (3748)Time elapsed: 0.134 s
% 1.40/0.52 % (3761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (3748)Instructions burned: 4 (million)
% 1.40/0.52 % (3761)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.52
% 1.40/0.52 % (3748)------------------------------
% 1.40/0.52 % (3748)------------------------------
% 1.40/0.52 % (3761)Memory used [KB]: 5884
% 1.40/0.52 % (3761)Time elapsed: 0.139 s
% 1.40/0.52 % (3761)Instructions burned: 3 (million)
% 1.40/0.52 % (3761)------------------------------
% 1.40/0.52 % (3761)------------------------------
% 1.40/0.52 % (3751)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.40/0.52 % (3747)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53 % (3760)Instruction limit reached!
% 1.40/0.53 % (3760)------------------------------
% 1.40/0.53 % (3760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3760)Termination reason: Unknown
% 1.40/0.53 % (3760)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (3760)Memory used [KB]: 1407
% 1.40/0.53 % (3760)Time elapsed: 0.140 s
% 1.40/0.53 % (3760)Instructions burned: 7 (million)
% 1.40/0.53 % (3760)------------------------------
% 1.40/0.53 % (3760)------------------------------
% 1.40/0.53 % (3747)Refutation not found, incomplete strategy% (3747)------------------------------
% 1.40/0.53 % (3747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3747)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (3747)Memory used [KB]: 5884
% 1.40/0.53 % (3747)Time elapsed: 0.133 s
% 1.40/0.53 % (3747)Instructions burned: 5 (million)
% 1.40/0.53 % (3747)------------------------------
% 1.40/0.53 % (3747)------------------------------
% 1.40/0.53 % (3756)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.53 % (3757)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.40/0.53 % (3756)Instruction limit reached!
% 1.40/0.53 % (3756)------------------------------
% 1.40/0.53 % (3756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3756)Termination reason: Unknown
% 1.40/0.53 % (3756)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (3756)Memory used [KB]: 5884
% 1.40/0.53 % (3756)Time elapsed: 0.002 s
% 1.40/0.53 % (3756)Instructions burned: 3 (million)
% 1.40/0.53 % (3756)------------------------------
% 1.40/0.53 % (3756)------------------------------
% 1.40/0.53 % (3750)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.40/0.53 % (3767)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.40/0.53 % (3758)Refutation not found, incomplete strategy% (3758)------------------------------
% 1.40/0.53 % (3758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3758)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (3758)Memory used [KB]: 10618
% 1.40/0.53 % (3758)Time elapsed: 0.119 s
% 1.40/0.53 % (3758)Instructions burned: 13 (million)
% 1.40/0.53 % (3758)------------------------------
% 1.40/0.53 % (3758)------------------------------
% 1.40/0.53 % (3763)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.40/0.53 % (3740)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.40/0.53 % (3750)Instruction limit reached!
% 1.40/0.53 % (3750)------------------------------
% 1.40/0.53 % (3750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3750)Termination reason: Unknown
% 1.40/0.53 % (3750)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (3750)Memory used [KB]: 6012
% 1.40/0.53 % (3750)Time elapsed: 0.142 s
% 1.40/0.53 % (3750)Instructions burned: 7 (million)
% 1.40/0.53 % (3750)------------------------------
% 1.40/0.53 % (3750)------------------------------
% 1.40/0.53 % (3763)Refutation not found, incomplete strategy% (3763)------------------------------
% 1.40/0.53 % (3763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3763)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (3763)Memory used [KB]: 5884
% 1.40/0.53 % (3763)Time elapsed: 0.133 s
% 1.40/0.53 % (3763)Instructions burned: 3 (million)
% 1.40/0.53 % (3763)------------------------------
% 1.40/0.53 % (3763)------------------------------
% 1.57/0.53 % (3768)Refutation not found, incomplete strategy% (3768)------------------------------
% 1.57/0.53 % (3768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.53 % (3768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.53 % (3768)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.53
% 1.57/0.53 % (3768)Memory used [KB]: 5884
% 1.57/0.53 % (3768)Time elapsed: 0.148 s
% 1.57/0.53 % (3768)Instructions burned: 5 (million)
% 1.57/0.53 % (3768)------------------------------
% 1.57/0.53 % (3768)------------------------------
% 1.57/0.53 % (3752)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.57/0.54 % (3759)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.57/0.54 % (3764)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.57/0.54 % (3752)Instruction limit reached!
% 1.57/0.54 % (3752)------------------------------
% 1.57/0.54 % (3752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.54 % (3752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.54 % (3752)Termination reason: Unknown
% 1.57/0.54 % (3752)Termination phase: Saturation
% 1.57/0.54
% 1.57/0.54 % (3752)Memory used [KB]: 6012
% 1.57/0.54 % (3752)Time elapsed: 0.150 s
% 1.57/0.54 % (3752)Instructions burned: 7 (million)
% 1.57/0.54 % (3752)------------------------------
% 1.57/0.54 % (3752)------------------------------
% 1.57/0.54 % (3759)Instruction limit reached!
% 1.57/0.54 % (3759)------------------------------
% 1.57/0.54 % (3759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.54 % (3759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.54 % (3759)Termination reason: Unknown
% 1.57/0.54 % (3759)Termination phase: Saturation
% 1.57/0.54
% 1.57/0.54 % (3759)Memory used [KB]: 6012
% 1.57/0.54 % (3759)Time elapsed: 0.152 s
% 1.57/0.54 % (3759)Instructions burned: 8 (million)
% 1.57/0.54 % (3759)------------------------------
% 1.57/0.54 % (3759)------------------------------
% 1.57/0.54 % (3754)Instruction limit reached!
% 1.57/0.54 % (3754)------------------------------
% 1.57/0.54 % (3754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.54 % (3754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.54 % (3754)Termination reason: Unknown
% 1.57/0.54 % (3754)Termination phase: Saturation
% 1.57/0.54
% 1.57/0.54 % (3754)Memory used [KB]: 1663
% 1.57/0.54 % (3754)Time elapsed: 0.104 s
% 1.57/0.54 % (3754)Instructions burned: 29 (million)
% 1.57/0.54 % (3754)------------------------------
% 1.57/0.54 % (3754)------------------------------
% 1.57/0.55 % (3755)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.57/0.55 % (3757)Instruction limit reached!
% 1.57/0.55 % (3757)------------------------------
% 1.57/0.55 % (3757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (3757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (3757)Termination reason: Unknown
% 1.57/0.55 % (3757)Termination phase: Saturation
% 1.57/0.55
% 1.57/0.55 % (3757)Memory used [KB]: 6012
% 1.57/0.55 % (3757)Time elapsed: 0.141 s
% 1.57/0.55 % (3757)Instructions burned: 8 (million)
% 1.57/0.55 % (3757)------------------------------
% 1.57/0.55 % (3757)------------------------------
% 1.57/0.56 % (3751)Instruction limit reached!
% 1.57/0.56 % (3751)------------------------------
% 1.57/0.56 % (3751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (3751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (3751)Termination reason: Unknown
% 1.57/0.56 % (3751)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (3751)Memory used [KB]: 6140
% 1.57/0.56 % (3751)Time elapsed: 0.175 s
% 1.57/0.56 % (3751)Instructions burned: 23 (million)
% 1.57/0.56 % (3751)------------------------------
% 1.57/0.56 % (3751)------------------------------
% 1.57/0.56 % (3746)Instruction limit reached!
% 1.57/0.56 % (3746)------------------------------
% 1.57/0.56 % (3746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (3746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (3746)Termination reason: Unknown
% 1.57/0.56 % (3746)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (3746)Memory used [KB]: 1791
% 1.57/0.56 % (3746)Time elapsed: 0.118 s
% 1.57/0.56 % (3746)Instructions burned: 51 (million)
% 1.57/0.56 % (3746)------------------------------
% 1.57/0.56 % (3746)------------------------------
% 1.57/0.56 % (3744)Instruction limit reached!
% 1.57/0.56 % (3744)------------------------------
% 1.57/0.56 % (3744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (3744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (3744)Termination reason: Unknown
% 1.57/0.56 % (3744)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (3744)Memory used [KB]: 6524
% 1.57/0.56 % (3744)Time elapsed: 0.155 s
% 1.57/0.56 % (3744)Instructions burned: 34 (million)
% 1.57/0.56 % (3744)------------------------------
% 1.57/0.56 % (3744)------------------------------
% 1.57/0.56 % (3745)Instruction limit reached!
% 1.57/0.56 % (3745)------------------------------
% 1.57/0.56 % (3745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (3745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (3745)Termination reason: Unknown
% 1.57/0.56 % (3745)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (3745)Memory used [KB]: 6140
% 1.57/0.56 % (3745)Time elapsed: 0.159 s
% 1.57/0.56 % (3745)Instructions burned: 26 (million)
% 1.57/0.56 % (3745)------------------------------
% 1.57/0.56 % (3745)------------------------------
% 1.57/0.57 % (3755)Instruction limit reached!
% 1.57/0.57 % (3755)------------------------------
% 1.57/0.57 % (3755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (3755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (3755)Termination reason: Unknown
% 1.57/0.57 % (3755)Termination phase: Finite model building constraint generation
% 1.57/0.57
% 1.57/0.57 % (3755)Memory used [KB]: 6012
% 1.57/0.57 % (3755)Time elapsed: 0.005 s
% 1.57/0.57 % (3755)Instructions burned: 7 (million)
% 1.57/0.57 % (3755)------------------------------
% 1.57/0.57 % (3755)------------------------------
% 1.57/0.59 % (3741)Instruction limit reached!
% 1.57/0.59 % (3741)------------------------------
% 1.57/0.59 % (3741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (3741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (3741)Termination reason: Unknown
% 1.57/0.59 % (3741)Termination phase: Saturation
% 1.57/0.59
% 1.57/0.59 % (3741)Memory used [KB]: 1791
% 1.57/0.59 % (3741)Time elapsed: 0.183 s
% 1.57/0.59 % (3741)Instructions burned: 42 (million)
% 1.57/0.59 % (3741)------------------------------
% 1.57/0.59 % (3741)------------------------------
% 1.57/0.60 % (3749)Instruction limit reached!
% 1.57/0.60 % (3749)------------------------------
% 1.57/0.60 % (3749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (3749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (3749)Termination reason: Unknown
% 1.57/0.60 % (3749)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (3749)Memory used [KB]: 6780
% 1.57/0.60 % (3749)Time elapsed: 0.209 s
% 1.57/0.60 % (3749)Instructions burned: 51 (million)
% 1.57/0.60 % (3749)------------------------------
% 1.57/0.60 % (3749)------------------------------
% 1.57/0.60 % (3766)Instruction limit reached!
% 1.57/0.60 % (3766)------------------------------
% 1.57/0.60 % (3766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (3766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (3766)Termination reason: Unknown
% 1.57/0.60 % (3766)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (3766)Memory used [KB]: 7164
% 1.57/0.60 % (3766)Time elapsed: 0.202 s
% 1.57/0.60 % (3766)Instructions burned: 71 (million)
% 1.57/0.61 % (3766)------------------------------
% 1.57/0.61 % (3766)------------------------------
% 1.57/0.61 % (3764)Instruction limit reached!
% 1.57/0.61 % (3764)------------------------------
% 1.57/0.61 % (3764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61 % (3764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (3764)Termination reason: Unknown
% 1.57/0.61 % (3764)Termination phase: Saturation
% 1.57/0.61
% 1.57/0.61 % (3764)Memory used [KB]: 6908
% 1.57/0.61 % (3764)Time elapsed: 0.224 s
% 1.57/0.61 % (3764)Instructions burned: 48 (million)
% 1.57/0.61 % (3764)------------------------------
% 1.57/0.61 % (3764)------------------------------
% 1.95/0.63 % (3767)Instruction limit reached!
% 1.95/0.63 % (3767)------------------------------
% 1.95/0.63 % (3767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63 % (3767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63 % (3767)Termination reason: Unknown
% 1.95/0.63 % (3767)Termination phase: Saturation
% 1.95/0.63
% 1.95/0.63 % (3767)Memory used [KB]: 2046
% 1.95/0.63 % (3767)Time elapsed: 0.243 s
% 1.95/0.63 % (3767)Instructions burned: 74 (million)
% 1.95/0.63 % (3767)------------------------------
% 1.95/0.63 % (3767)------------------------------
% 1.95/0.64 % (3771)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.95/0.65 % (3777)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 1.95/0.65 % (3762)Instruction limit reached!
% 1.95/0.65 % (3762)------------------------------
% 1.95/0.65 % (3762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65 % (3762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.65 % (3762)Termination reason: Unknown
% 1.95/0.65 % (3762)Termination phase: Saturation
% 1.95/0.65
% 1.95/0.65 % (3762)Memory used [KB]: 7419
% 1.95/0.65 % (3762)Time elapsed: 0.178 s
% 1.95/0.65 % (3762)Instructions burned: 98 (million)
% 1.95/0.65 % (3762)------------------------------
% 1.95/0.65 % (3762)------------------------------
% 1.95/0.65 % (3772)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.95/0.65 TRYING [1]
% 1.95/0.66 % (3773)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.95/0.66 TRYING [2]
% 1.95/0.66 % (3765)Instruction limit reached!
% 1.95/0.66 % (3765)------------------------------
% 1.95/0.66 % (3765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.66 % (3765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.66 % (3765)Termination reason: Unknown
% 1.95/0.66 % (3765)Termination phase: Saturation
% 1.95/0.66
% 1.95/0.66 % (3765)Memory used [KB]: 7291
% 1.95/0.66 % (3765)Time elapsed: 0.271 s
% 1.95/0.66 % (3765)Instructions burned: 82 (million)
% 1.95/0.66 % (3765)------------------------------
% 1.95/0.66 % (3765)------------------------------
% 1.95/0.66 % (3775)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.95/0.66 % (3776)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.95/0.66 % (3740)First to succeed.
% 1.95/0.66 % (3774)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.95/0.66 TRYING [3]
% 1.95/0.66 % (3783)lrs+1011_1:7_av=off:bsr=on:fd=preordered:nwc=5.0:s2a=on:s2at=2.0:sp=reverse_frequency:to=lpo:urr=on:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/45Mi)
% 1.95/0.66 % (3740)Refutation found. Thanks to Tanya!
% 1.95/0.66 % SZS status Unsatisfiable for theBenchmark
% 1.95/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.66 % (3740)------------------------------
% 1.95/0.66 % (3740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.66 % (3740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.66 % (3740)Termination reason: Refutation
% 1.95/0.66
% 1.95/0.66 % (3740)Memory used [KB]: 6652
% 1.95/0.66 % (3740)Time elapsed: 0.249 s
% 1.95/0.66 % (3740)Instructions burned: 65 (million)
% 1.95/0.66 % (3740)------------------------------
% 1.95/0.66 % (3740)------------------------------
% 1.95/0.66 % (3739)Success in time 0.308 s
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