TSTP Solution File: GRP247-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP247-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 16:21:01 EDT 2022
% Result : Unsatisfiable 1.40s 0.58s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 50
% Syntax : Number of formulae : 280 ( 10 unt; 0 def)
% Number of atoms : 1186 ( 301 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1799 ( 893 ~; 890 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f858,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f63,f68,f74,f79,f84,f85,f90,f91,f97,f98,f99,f100,f105,f106,f107,f108,f122,f123,f124,f125,f126,f127,f128,f129,f130,f132,f134,f135,f137,f230,f284,f304,f325,f670,f679,f694,f726,f777,f784,f820,f833,f855]) ).
fof(f855,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f853]) ).
fof(f853,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f850]) ).
fof(f850,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f836,f781]) ).
fof(f781,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f660,f756]) ).
fof(f756,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f176,f754]) ).
fof(f754,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f751,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f751,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f153,f570]) ).
fof(f570,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f568,f44]) ).
fof(f44,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_1
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f568,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f153,f62]) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_5
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f153,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f152,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f152,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
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(f176,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f163,f164]) ).
fof(f164,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f153,f153]) ).
fof(f163,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f153,f2]) ).
fof(f660,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f153,f579]) ).
fof(f579,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f577,f73]) ).
fof(f73,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_7
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f577,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c9)
| ~ spl0_9 ),
inference(superposition,[],[f153,f83]) ).
fof(f83,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_9
<=> sk_c9 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f836,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != X5 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f835,f756]) ).
fof(f835,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f118,f773]) ).
fof(f773,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f53,f765]) ).
fof(f765,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f733,f760]) ).
fof(f760,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f757,f661]) ).
fof(f661,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f3,f579]) ).
fof(f757,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1,f754]) ).
fof(f733,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,multiply(sk_c5,X0))) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f478,f661]) ).
fof(f478,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_12 ),
inference(superposition,[],[f153,f104]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f53,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_3
<=> multiply(sk_c5,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f118,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c7)
| sk_c9 != inverse(X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_15
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f833,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f831]) ).
fof(f831,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f825,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f821,f781]) ).
fof(f821,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c9 != X8 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f115,f756]) ).
fof(f115,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_14
<=> ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f820,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f818]) ).
fof(f818,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f788,f802]) ).
fof(f802,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f104,f800]) ).
fof(f800,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f796,f774]) ).
fof(f774,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f772,f773]) ).
fof(f772,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f763,f765]) ).
fof(f763,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f731,f760]) ).
fof(f731,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c9,multiply(sk_c9,X0)))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f565,f661]) ).
fof(f565,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f53]) ).
fof(f796,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f755,f104]) ).
fof(f755,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f2,f754]) ).
fof(f788,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != X7 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f787,f773]) ).
fof(f787,plain,
( ! [X7] :
( sk_c7 != X7
| sk_c8 != inverse(X7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f112,f756]) ).
fof(f112,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_13
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f784,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f782]) ).
fof(f782,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(backward_demodulation,[],[f722,f781]) ).
fof(f722,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f720]) ).
fof(f720,plain,
( sk_c9 != inverse(sk_c9)
| sk_c8 != sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f121,f579]) ).
fof(f121,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_16
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f777,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f775]) ).
fof(f775,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f771,f773]) ).
fof(f771,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| spl0_10 ),
inference(backward_demodulation,[],[f88,f766]) ).
fof(f766,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f738,f760]) ).
fof(f738,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,multiply(sk_c2,X0))) = X0
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f158,f661]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f153,f57]) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_4
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f88,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f726,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f725,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f724]) ).
fof(f724,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f723,f710]) ).
fof(f710,plain,
( ! [X8] : inverse(inverse(X8)) = X8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f709,f603]) ).
fof(f603,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f545,f599]) ).
fof(f599,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f596,f62]) ).
fof(f596,plain,
( multiply(sk_c4,sk_c9) = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f547,f593]) ).
fof(f593,plain,
( sk_c4 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f591,f545]) ).
fof(f591,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f153,f556]) ).
fof(f556,plain,
( sk_c7 = multiply(sk_c9,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f547,f44]) ).
fof(f547,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f2,f544]) ).
fof(f544,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f541,f2]) ).
fof(f541,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f153,f173]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f168,f57]) ).
fof(f168,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f153,f89]) ).
fof(f89,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f545,plain,
( ! [X4] : multiply(X4,sk_c7) = X4
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f176,f544]) ).
fof(f709,plain,
( ! [X8] : multiply(X8,sk_c8) = inverse(inverse(X8))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f603,f164]) ).
fof(f723,plain,
( sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( sk_c9 != inverse(inverse(sk_c9))
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f121,f605]) ).
fof(f605,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f547,f599]) ).
fof(f694,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f692]) ).
fof(f692,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f690]) ).
fof(f690,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f682,f622]) ).
fof(f622,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f587,f620]) ).
fof(f620,plain,
( sk_c8 = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f607,f613]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f550,f611]) ).
fof(f611,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f604,f587]) ).
fof(f604,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f546,f599]) ).
fof(f546,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f161,f544]) ).
fof(f161,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f153,f1]) ).
fof(f550,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f146,f548]) ).
fof(f548,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f1,f544]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f89]) ).
fof(f607,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f549,f599]) ).
fof(f549,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f149,f544]) ).
fof(f149,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_4 ),
inference(superposition,[],[f2,f57]) ).
fof(f587,plain,
( sk_c2 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f584,f545]) ).
fof(f584,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f153,f549]) ).
fof(f682,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != X7 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f681,f599]) ).
fof(f681,plain,
( ! [X7] :
( sk_c7 != X7
| sk_c8 != inverse(X7) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f112,f603]) ).
fof(f679,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f677]) ).
fof(f677,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f675]) ).
fof(f675,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f672,f664]) ).
fof(f664,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f44,f663]) ).
fof(f663,plain,
( sk_c9 = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f662,f593]) ).
fof(f662,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f660,f603]) ).
fof(f672,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c9 != X8 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f115,f603]) ).
fof(f670,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f665]) ).
fof(f665,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(backward_demodulation,[],[f576,f663]) ).
fof(f576,plain,
( sk_c9 != sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f571]) ).
fof(f571,plain,
( sk_c9 != sk_c4
| sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f551,f44]) ).
fof(f551,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != X5 )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(backward_demodulation,[],[f118,f545]) ).
fof(f325,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f324,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f323,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f322,f282]) ).
fof(f282,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f269,f276]) ).
fof(f276,plain,
( sk_c1 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f273,f180]) ).
fof(f180,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(backward_demodulation,[],[f176,f179]) ).
fof(f179,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f178,f48]) ).
fof(f48,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_2
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f178,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(backward_demodulation,[],[f154,f177]) ).
fof(f177,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(backward_demodulation,[],[f175,f176]) ).
fof(f175,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f166,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f166,plain,
( multiply(sk_c9,sk_c2) = multiply(inverse(sk_c1),identity)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f153,f154]) ).
fof(f154,plain,
( identity = multiply(sk_c1,multiply(sk_c9,sk_c2))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f149,f141]) ).
fof(f141,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f48]) ).
fof(f273,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f262,f48]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f185,f259]) ).
fof(f259,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f198,f256]) ).
fof(f256,plain,
( sk_c1 = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f253,f180]) ).
fof(f253,plain,
( sk_c3 = multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f185,f181]) ).
fof(f181,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f151,f179]) ).
fof(f151,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f2,f96]) ).
fof(f96,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_11
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f198,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c9,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f193,f197]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f188,f195]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f186,f189]) ).
fof(f189,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f174,f185]) ).
fof(f174,plain,
( sk_c8 = multiply(sk_c1,multiply(sk_c9,sk_c7))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f173,f141]) ).
fof(f186,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f147,f185]) ).
fof(f147,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,multiply(sk_c9,X0))) = multiply(sk_c7,X0)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f146,f141]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(backward_demodulation,[],[f157,f185]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,multiply(sk_c2,X0))) = X0
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c9,multiply(sk_c2,X0)))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f155,f3]) ).
fof(f155,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(multiply(sk_c9,sk_c2),X0))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f3,f154]) ).
fof(f193,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f145,f189]) ).
fof(f145,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
| ~ spl0_6 ),
inference(superposition,[],[f3,f67]) ).
fof(f67,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f185,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f184,f141]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1,f179]) ).
fof(f269,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f268,f256]) ).
fof(f268,plain,
( sk_c3 = inverse(sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f254,f180]) ).
fof(f254,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f153,f181]) ).
fof(f322,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f317,f282]) ).
fof(f317,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( sk_c8 != sk_c8
| sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f306,f183]) ).
fof(f183,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(backward_demodulation,[],[f2,f179]) ).
fof(f306,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c1)
| sk_c1 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f305,f276]) ).
fof(f305,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c1 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f121,f276]) ).
fof(f304,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f302]) ).
fof(f302,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f299,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f291,f282]) ).
fof(f291,plain,
( ! [X5] :
( sk_c1 != inverse(X5)
| sk_c1 != X5 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f290,f276]) ).
fof(f290,plain,
( ! [X5] :
( sk_c1 != inverse(X5)
| sk_c9 != X5 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f289,f180]) ).
fof(f289,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c1 != inverse(X5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f288,f189]) ).
fof(f288,plain,
( ! [X5] :
( sk_c1 != inverse(X5)
| sk_c9 != multiply(X5,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f118,f276]) ).
fof(f284,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f250,f276]) ).
fof(f250,plain,
( sk_c1 != sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f247,plain,
( sk_c9 != sk_c9
| sk_c1 != sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f245,f78]) ).
fof(f245,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c9 != X8 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f115,f180]) ).
fof(f230,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f227,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f202,f215]) ).
fof(f215,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f57,f212]) ).
fof(f212,plain,
( sk_c8 = sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f207,f197]) ).
fof(f207,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f183,f57]) ).
fof(f202,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != X7 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f192,f180]) ).
fof(f192,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != multiply(X7,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f112,f189]) ).
fof(f137,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f13,f76,f102]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f135,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f60,f65]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f134,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f102,f87]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f132,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f55,f60]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f130,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f18,f87,f51]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f129,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f33,f81,f94]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f128,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f76,f71]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f127,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f55,f42]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f126,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f71,f94]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f125,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f55,f102]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f124,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f81,f55]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f123,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f21,f81,f87]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f122,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_16
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f111,f120,f120,f117,f114,f111]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c9 != multiply(X8,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(X5,sk_c7)
| sk_c9 != inverse(X6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f108,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f76,f81]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f107,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f16,f87,f60]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f106,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f29,f42,f94]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f105,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f7,f102,f46]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f100,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f65,f71]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f99,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f46,f81]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f98,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f87,f42]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f97,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f60,f94]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f91,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f46,f71]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f90,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f20,f71,f87]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f85,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f11,f42,f76]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f84,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f39,f65,f81]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f79,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f76,f60]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f74,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f26,f71,f55]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f68,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f35,f65,f42]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f63,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f46,f60]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f58,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f55,f51]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f46,f42]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP247-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:22:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (2798)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (2797)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (2788)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (2784)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (2813)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (2787)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (2792)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (2814)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.29/0.52 % (2811)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.29/0.52 TRYING [2]
% 1.29/0.52 TRYING [3]
% 1.29/0.53 % (2807)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.29/0.53 % (2790)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53 % (2789)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.29/0.53 TRYING [1]
% 1.29/0.53 % (2792)Instruction limit reached!
% 1.29/0.53 % (2792)------------------------------
% 1.29/0.53 % (2792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (2792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (2792)Termination reason: Unknown
% 1.29/0.53 % (2792)Termination phase: Saturation
% 1.29/0.53
% 1.29/0.53 % (2792)Memory used [KB]: 5500
% 1.29/0.53 % (2792)Time elapsed: 0.130 s
% 1.29/0.53 % (2792)Instructions burned: 2 (million)
% 1.29/0.53 % (2792)------------------------------
% 1.29/0.53 % (2792)------------------------------
% 1.29/0.53 TRYING [2]
% 1.29/0.53 TRYING [3]
% 1.29/0.53 % (2799)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.29/0.53 % (2785)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.53 % (2804)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53 % (2810)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.54 % (2796)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.54 TRYING [4]
% 1.40/0.54 % (2812)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.40/0.54 % (2801)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54 TRYING [1]
% 1.40/0.54 % (2803)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 % (2786)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.40/0.54 % (2806)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.55 % (2791)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.55 % (2805)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.40/0.55 % (2808)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.55 % (2794)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.56 % (2800)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.56 % (2795)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.56 TRYING [4]
% 1.40/0.56 TRYING [2]
% 1.40/0.56 % (2809)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.57 TRYING [3]
% 1.40/0.57 % (2788)Instruction limit reached!
% 1.40/0.57 % (2788)------------------------------
% 1.40/0.57 % (2788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (2791)Instruction limit reached!
% 1.40/0.57 % (2791)------------------------------
% 1.40/0.57 % (2791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (2791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (2814)First to succeed.
% 1.40/0.57 % (2791)Termination reason: Unknown
% 1.40/0.57 % (2791)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (2791)Memory used [KB]: 5628
% 1.40/0.57 % (2791)Time elapsed: 0.112 s
% 1.40/0.57 % (2791)Instructions burned: 7 (million)
% 1.40/0.57 % (2791)------------------------------
% 1.40/0.57 % (2791)------------------------------
% 1.40/0.57 % (2793)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.58 % (2814)Refutation found. Thanks to Tanya!
% 1.40/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.58 % (2814)------------------------------
% 1.40/0.58 % (2814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (2814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (2814)Termination reason: Refutation
% 1.40/0.58
% 1.40/0.58 % (2814)Memory used [KB]: 5756
% 1.40/0.58 % (2814)Time elapsed: 0.155 s
% 1.40/0.58 % (2814)Instructions burned: 25 (million)
% 1.40/0.58 % (2814)------------------------------
% 1.40/0.58 % (2814)------------------------------
% 1.40/0.58 % (2781)Success in time 0.22 s
%------------------------------------------------------------------------------