TSTP Solution File: GRP275-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP275-1 : 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 : n017.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 16:21:07 EDT 2022
% Result : Unsatisfiable 1.46s 0.56s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 55
% Syntax : Number of formulae : 226 ( 6 unt; 0 def)
% Number of atoms : 884 ( 262 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1277 ( 619 ~; 637 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f655,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f67,f72,f77,f82,f87,f88,f100,f105,f106,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f125,f126,f127,f128,f129,f133,f134,f135,f136,f137,f138,f139,f140,f156,f284,f319,f333,f467,f474,f536,f613,f638,f654]) ).
fof(f654,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(trivial_inequality_removal,[],[f652]) ).
fof(f652,plain,
( sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(superposition,[],[f651,f618]) ).
fof(f618,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f57,f617]) ).
fof(f617,plain,
( sk_c8 = sk_c3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f616,f593]) ).
fof(f593,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f559,f579]) ).
fof(f579,plain,
( sk_c8 = sk_c6
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f540,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f540,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl3_10
| ~ spl3_25 ),
inference(backward_demodulation,[],[f86,f481]) ).
fof(f481,plain,
( identity = sk_c7
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f480,plain,
( spl3_25
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl3_10
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f559,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f516,f481]) ).
fof(f516,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(backward_demodulation,[],[f460,f506]) ).
fof(f506,plain,
( sk_c6 = sk_c5
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f505,f86]) ).
fof(f505,plain,
( multiply(sk_c7,sk_c8) = sk_c5
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f502,f460]) ).
fof(f502,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9 ),
inference(superposition,[],[f448,f455]) ).
fof(f455,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl3_4
| ~ spl3_9 ),
inference(forward_demodulation,[],[f453,f57]) ).
fof(f453,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl3_9 ),
inference(superposition,[],[f176,f81]) ).
fof(f81,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl3_9
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f176,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f168,f1]) ).
fof(f168,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f448,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl3_6 ),
inference(superposition,[],[f3,f66]) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_6
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f460,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f458,f124]) ).
fof(f124,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl3_16
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f458,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c7)
| ~ spl3_14 ),
inference(superposition,[],[f176,f104]) ).
fof(f104,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl3_14
<=> sk_c7 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f616,plain,
( sk_c3 = multiply(sk_c8,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f569,f579]) ).
fof(f569,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f489,f566]) ).
fof(f566,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f509,f564]) ).
fof(f564,plain,
( sk_c8 = sk_c4
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f512,f556]) ).
fof(f556,plain,
( sk_c8 = multiply(inverse(sk_c6),identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f513,f481]) ).
fof(f513,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(backward_demodulation,[],[f447,f506]) ).
fof(f447,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| ~ spl3_6 ),
inference(superposition,[],[f176,f66]) ).
fof(f512,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(backward_demodulation,[],[f413,f506]) ).
fof(f413,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl3_16 ),
inference(superposition,[],[f176,f386]) ).
fof(f386,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl3_16 ),
inference(superposition,[],[f2,f124]) ).
fof(f509,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(backward_demodulation,[],[f124,f506]) ).
fof(f489,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl3_4 ),
inference(superposition,[],[f176,f444]) ).
fof(f444,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl3_4 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_4
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f651,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f650,f618]) ).
fof(f650,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_1
| ~ spl3_25 ),
inference(trivial_inequality_removal,[],[f646]) ).
fof(f646,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != identity
| ~ spl3_1
| ~ spl3_25 ),
inference(superposition,[],[f643,f2]) ).
fof(f643,plain,
( ! [X3] :
( identity != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f44,f481]) ).
fof(f44,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_1
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f638,plain,
( ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f634,plain,
( identity != identity
| ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(superposition,[],[f581,f583]) ).
fof(f583,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f554,f579]) ).
fof(f554,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f507,f481]) ).
fof(f507,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(backward_demodulation,[],[f66,f506]) ).
fof(f581,plain,
( identity != multiply(sk_c8,sk_c8)
| spl3_8
| ~ spl3_10
| ~ spl3_25 ),
inference(backward_demodulation,[],[f538,f579]) ).
fof(f538,plain,
( identity != multiply(sk_c8,sk_c6)
| spl3_8
| ~ spl3_25 ),
inference(backward_demodulation,[],[f75,f481]) ).
fof(f75,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl3_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f613,plain,
( ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(trivial_inequality_removal,[],[f609]) ).
fof(f609,plain,
( identity != identity
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(superposition,[],[f581,f590]) ).
fof(f590,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f573,f579]) ).
fof(f573,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f444,f570]) ).
fof(f570,plain,
( sk_c6 = sk_c3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f569,f562]) ).
fof(f562,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f521,f553]) ).
fof(f553,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_25 ),
inference(backward_demodulation,[],[f500,f481]) ).
fof(f500,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10 ),
inference(forward_demodulation,[],[f495,f86]) ).
fof(f495,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c7)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f169,f455]) ).
fof(f169,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c1,multiply(sk_c8,X8))
| ~ spl3_7 ),
inference(superposition,[],[f3,f71]) ).
fof(f71,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_7
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f521,plain,
( multiply(sk_c1,identity) = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f520,f494]) ).
fof(f494,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c1,identity)
| ~ spl3_4
| ~ spl3_7 ),
inference(superposition,[],[f169,f444]) ).
fof(f520,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f501,f506]) ).
fof(f501,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c5,identity)
| ~ spl3_4
| ~ spl3_6 ),
inference(superposition,[],[f448,f444]) ).
fof(f536,plain,
( spl3_25
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f535,f122,f102,f84,f79,f64,f55,f480]) ).
fof(f535,plain,
( identity = sk_c7
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f533,f2]) ).
fof(f533,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_16 ),
inference(superposition,[],[f176,f516]) ).
fof(f474,plain,
( ~ spl3_6
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f473,f131,f122,f102,f64]) ).
fof(f131,plain,
( spl3_17
<=> ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f473,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f472,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f469,f104]) ).
fof(f469,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c4,sk_c5)
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f132,f124]) ).
fof(f132,plain,
( ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6)) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f467,plain,
( ~ spl3_4
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f466,f90,f79,f55]) ).
fof(f90,plain,
( spl3_11
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f466,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl3_9
| ~ spl3_11 ),
inference(trivial_inequality_removal,[],[f465]) ).
fof(f465,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl3_9
| ~ spl3_11 ),
inference(superposition,[],[f91,f81]) ).
fof(f91,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f333,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f331]) ).
fof(f331,plain,
( sk_c1 != sk_c1
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(superposition,[],[f329,f258]) ).
fof(f258,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f53,f257]) ).
fof(f257,plain,
( sk_c1 = sk_c8
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f246,f187]) ).
fof(f187,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl3_3 ),
inference(superposition,[],[f176,f141]) ).
fof(f141,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_3 ),
inference(superposition,[],[f2,f53]) ).
fof(f246,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f223,f236]) ).
fof(f236,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_7 ),
inference(forward_demodulation,[],[f234,f2]) ).
fof(f234,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_3
| ~ spl3_7 ),
inference(superposition,[],[f176,f192]) ).
fof(f192,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_3
| ~ spl3_7 ),
inference(forward_demodulation,[],[f185,f53]) ).
fof(f185,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl3_7 ),
inference(superposition,[],[f176,f71]) ).
fof(f223,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_5
| ~ spl3_15 ),
inference(superposition,[],[f176,f191]) ).
fof(f191,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f189,f62]) ).
fof(f62,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_5
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f189,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl3_15 ),
inference(superposition,[],[f176,f110]) ).
fof(f110,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_15
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f53,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl3_3
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f329,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f327,plain,
( sk_c1 != inverse(sk_c1)
| identity != identity
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(superposition,[],[f322,f263]) ).
fof(f263,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f237,f257]) ).
fof(f237,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl3_3
| ~ spl3_7 ),
inference(backward_demodulation,[],[f71,f236]) ).
fof(f322,plain,
( ! [X3] :
( identity != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f321,f236]) ).
fof(f321,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f320,f257]) ).
fof(f320,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c1 != inverse(X3) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f44,f257]) ).
fof(f319,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f317]) ).
fof(f317,plain,
( identity != identity
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(superposition,[],[f307,f263]) ).
fof(f307,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f306,f258]) ).
fof(f306,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| identity != identity
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(superposition,[],[f290,f2]) ).
fof(f290,plain,
( ! [X6] :
( identity != multiply(inverse(X6),sk_c1)
| identity != multiply(X6,inverse(X6)) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f289,f236]) ).
fof(f289,plain,
( ! [X6] :
( identity != multiply(X6,inverse(X6))
| sk_c7 != multiply(inverse(X6),sk_c1) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f288,f236]) ).
fof(f288,plain,
( ! [X6] :
( sk_c7 != multiply(X6,inverse(X6))
| sk_c7 != multiply(inverse(X6),sk_c1) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f132,f257]) ).
fof(f284,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f282]) ).
fof(f282,plain,
( sk_c1 != sk_c1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f270,f1]) ).
fof(f270,plain,
( sk_c1 != multiply(identity,sk_c1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f247,f257]) ).
fof(f247,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f227,f236]) ).
fof(f227,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl3_5
| ~ spl3_8
| spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f85,f225]) ).
fof(f225,plain,
( sk_c8 = sk_c6
| ~ spl3_5
| ~ spl3_8
| ~ spl3_15 ),
inference(backward_demodulation,[],[f186,f223]) ).
fof(f186,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_8 ),
inference(superposition,[],[f176,f76]) ).
fof(f76,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f85,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl3_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f156,plain,
( ~ spl3_5
| ~ spl3_11
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f146,f108,f90,f60]) ).
fof(f146,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl3_11
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
( sk_c8 != inverse(sk_c2)
| sk_c8 != sk_c8
| ~ spl3_11
| ~ spl3_15 ),
inference(superposition,[],[f91,f110]) ).
fof(f140,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f6,f69,f79]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f139,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f18,f74,f79]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f138,plain,
( spl3_15
| spl3_6 ),
inference(avatar_split_clause,[],[f33,f64,f108]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f137,plain,
( spl3_6
| spl3_3 ),
inference(avatar_split_clause,[],[f15,f51,f64]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f136,plain,
( spl3_3
| spl3_16 ),
inference(avatar_split_clause,[],[f14,f122,f51]) ).
fof(f14,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f135,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f32,f122,f108]) ).
fof(f32,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f134,plain,
( spl3_15
| spl3_10 ),
inference(avatar_split_clause,[],[f28,f84,f108]) ).
fof(f28,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f133,plain,
( spl3_13
| spl3_17 ),
inference(avatar_split_clause,[],[f38,f131,f97]) ).
fof(f97,plain,
( spl3_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f38,plain,
! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sP1 ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f129,plain,
( spl3_5
| spl3_16 ),
inference(avatar_split_clause,[],[f26,f122,f60]) ).
fof(f26,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f128,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f40,f93,f90]) ).
fof(f93,plain,
( spl3_12
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f40,plain,
! [X4] :
( sP2
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f127,plain,
( spl3_16
| spl3_7 ),
inference(avatar_split_clause,[],[f8,f69,f122]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f126,plain,
( spl3_9
| spl3_15 ),
inference(avatar_split_clause,[],[f30,f108,f79]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f125,plain,
( spl3_16
| spl3_8 ),
inference(avatar_split_clause,[],[f20,f74,f122]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f120,plain,
( spl3_14
| spl3_5 ),
inference(avatar_split_clause,[],[f25,f60,f102]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f119,plain,
( spl3_14
| spl3_3 ),
inference(avatar_split_clause,[],[f13,f51,f102]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f118,plain,
( spl3_7
| spl3_14 ),
inference(avatar_split_clause,[],[f7,f102,f69]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f117,plain,
( spl3_5
| spl3_10 ),
inference(avatar_split_clause,[],[f22,f84,f60]) ).
fof(f22,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f116,plain,
( spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f17,f55,f74]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f115,plain,
( spl3_3
| spl3_9 ),
inference(avatar_split_clause,[],[f12,f79,f51]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f114,plain,
( spl3_15
| spl3_14 ),
inference(avatar_split_clause,[],[f31,f102,f108]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f113,plain,
( spl3_7
| spl3_6 ),
inference(avatar_split_clause,[],[f9,f64,f69]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f112,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f23,f55,f60]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f111,plain,
( spl3_4
| spl3_15 ),
inference(avatar_split_clause,[],[f29,f108,f55]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f106,plain,
( spl3_10
| spl3_7 ),
inference(avatar_split_clause,[],[f4,f69,f84]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f105,plain,
( spl3_14
| spl3_8 ),
inference(avatar_split_clause,[],[f19,f74,f102]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f100,plain,
( spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_10
| ~ spl3_2
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f41,f74,f46,f84,f97,f93,f90]) ).
fof(f46,plain,
( spl3_2
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f41,plain,
! [X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ sP0
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP1
| ~ sP2
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f39,plain,
! [X4,X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f37,plain,
! [X6,X4,X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f36,plain,
! [X3] :
( sP0
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f35,plain,
! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,X7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X4)
| inverse(X6) != X7
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f88,plain,
( spl3_3
| spl3_10 ),
inference(avatar_split_clause,[],[f10,f84,f51]) ).
fof(f10,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f87,plain,
( spl3_8
| spl3_10 ),
inference(avatar_split_clause,[],[f16,f84,f74]) ).
fof(f16,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f82,plain,
( spl3_5
| spl3_9 ),
inference(avatar_split_clause,[],[f24,f79,f60]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f77,plain,
( spl3_8
| spl3_6 ),
inference(avatar_split_clause,[],[f21,f64,f74]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f72,plain,
( spl3_7
| spl3_4 ),
inference(avatar_split_clause,[],[f5,f55,f69]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f67,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f27,f64,f60]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f58,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f11,f55,f51]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f36,f46,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP275-1 : 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
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:47:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (27094)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)
% 1.27/0.52 % (27095)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.52 % (27112)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.27/0.52 % (27101)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.53 % (27091)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)
% 1.27/0.53 % (27104)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.53 % (27099)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.53 % (27116)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.27/0.54 % (27100)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)
% 1.27/0.54 TRYING [1]
% 1.27/0.54 TRYING [2]
% 1.46/0.54 % (27113)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)
% 1.46/0.54 % (27096)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)
% 1.46/0.54 % (27108)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.54 % (27117)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)
% 1.46/0.54 TRYING [3]
% 1.46/0.54 % (27120)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)
% 1.46/0.54 % (27119)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.54 % (27092)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)
% 1.46/0.55 TRYING [1]
% 1.46/0.55 TRYING [2]
% 1.46/0.55 % (27098)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.55 TRYING [3]
% 1.46/0.55 % (27111)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)
% 1.46/0.55 % (27099)Instruction limit reached!
% 1.46/0.55 % (27099)------------------------------
% 1.46/0.55 % (27099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (27099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (27099)Termination reason: Unknown
% 1.46/0.55 % (27099)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (27099)Memory used [KB]: 895
% 1.46/0.55 % (27099)Time elapsed: 0.003 s
% 1.46/0.55 % (27099)Instructions burned: 2 (million)
% 1.46/0.55 % (27099)------------------------------
% 1.46/0.55 % (27099)------------------------------
% 1.46/0.55 % (27114)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)
% 1.46/0.55 % (27105)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)
% 1.46/0.55 % (27109)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.56 % (27101)First to succeed.
% 1.46/0.56 % (27102)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)
% 1.46/0.56 % (27106)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)
% 1.46/0.56 % (27098)Instruction limit reached!
% 1.46/0.56 % (27098)------------------------------
% 1.46/0.56 % (27098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (27098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (27098)Termination reason: Unknown
% 1.46/0.56 % (27098)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (27098)Memory used [KB]: 5628
% 1.46/0.56 % (27098)Time elapsed: 0.106 s
% 1.46/0.56 % (27098)Instructions burned: 7 (million)
% 1.46/0.56 % (27098)------------------------------
% 1.46/0.56 % (27098)------------------------------
% 1.46/0.56 % (27107)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)
% 1.46/0.56 % (27101)Refutation found. Thanks to Tanya!
% 1.46/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.56 % (27101)------------------------------
% 1.46/0.56 % (27101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (27101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (27101)Termination reason: Refutation
% 1.46/0.56
% 1.46/0.56 % (27101)Memory used [KB]: 5756
% 1.46/0.56 % (27101)Time elapsed: 0.155 s
% 1.46/0.56 % (27101)Instructions burned: 20 (million)
% 1.46/0.56 % (27101)------------------------------
% 1.46/0.56 % (27101)------------------------------
% 1.46/0.56 % (27090)Success in time 0.201 s
%------------------------------------------------------------------------------