TSTP Solution File: GRP334-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP334-1 : 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 : n002.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 16:15:24 EDT 2022
% Result : Unsatisfiable 1.52s 0.56s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 48
% Syntax : Number of formulae : 248 ( 34 unt; 0 def)
% Number of atoms : 947 ( 304 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1368 ( 669 ~; 686 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f674,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f89,f94,f103,f108,f109,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f291,f301,f346,f377,f395,f642,f658,f673]) ).
fof(f673,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f667,f579]) ).
fof(f579,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f556,f563]) ).
fof(f563,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f562,f543]) ).
fof(f543,plain,
( ! [X8] : multiply(sk_c6,X8) = X8
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f542,f533]) ).
fof(f533,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| ~ spl10_2
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f531,f437]) ).
fof(f437,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(sk_c5,X9)
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f436,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f436,plain,
( ! [X9] : multiply(sk_c6,multiply(identity,X9)) = multiply(sk_c5,X9)
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f435,f409]) ).
fof(f409,plain,
( identity = sk_c4
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f408,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f408,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f400,f113]) ).
fof(f113,plain,
( sk_c6 = sF6
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl10_13
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f400,plain,
( sk_c4 = multiply(inverse(sF6),sk_c6)
| ~ spl10_11 ),
inference(forward_demodulation,[],[f257,f102]) ).
fof(f102,plain,
( sk_c4 = sF7
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl10_11
<=> sk_c4 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f257,plain,
sF7 = multiply(inverse(sF6),sk_c6),
inference(superposition,[],[f152,f215]) ).
fof(f215,plain,
sk_c6 = multiply(sF6,sF7),
inference(forward_demodulation,[],[f185,f37]) ).
fof(f37,plain,
inverse(sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f185,plain,
sk_c6 = multiply(inverse(sk_c3),sF7),
inference(superposition,[],[f152,f40]) ).
fof(f40,plain,
multiply(sk_c3,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f152,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f142,f1]) ).
fof(f142,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f435,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c4,X9)) = multiply(sk_c5,X9)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f144,f84]) ).
fof(f84,plain,
( sk_c5 = sF3
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl10_7
<=> sk_c5 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f144,plain,
! [X9] : multiply(sk_c6,multiply(sk_c4,X9)) = multiply(sF3,X9),
inference(superposition,[],[f3,f31]) ).
fof(f31,plain,
multiply(sk_c6,sk_c4) = sF3,
introduced(function_definition,[]) ).
fof(f531,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl10_2
| ~ spl10_13 ),
inference(forward_demodulation,[],[f404,f527]) ).
fof(f527,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c5,X0)
| ~ spl10_2
| ~ spl10_13 ),
inference(forward_demodulation,[],[f425,f65]) ).
fof(f65,plain,
( sk_c5 = sF1
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl10_2
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF1,X0)
| ~ spl10_13 ),
inference(forward_demodulation,[],[f407,f28]) ).
fof(f28,plain,
inverse(sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| ~ spl10_13 ),
inference(backward_demodulation,[],[f313,f113]) ).
fof(f313,plain,
! [X0] : multiply(sk_c3,X0) = multiply(inverse(sF6),X0),
inference(forward_demodulation,[],[f312,f1]) ).
fof(f312,plain,
! [X0] : multiply(sk_c3,X0) = multiply(inverse(sF6),multiply(identity,X0)),
inference(superposition,[],[f3,f189]) ).
fof(f189,plain,
sk_c3 = multiply(inverse(sF6),identity),
inference(superposition,[],[f152,f138]) ).
fof(f138,plain,
identity = multiply(sF6,sk_c3),
inference(superposition,[],[f2,f37]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl10_13 ),
inference(backward_demodulation,[],[f160,f113]) ).
fof(f160,plain,
! [X0] : multiply(sF6,multiply(sk_c3,X0)) = X0,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f159,plain,
! [X0] : multiply(identity,X0) = multiply(sF6,multiply(sk_c3,X0)),
inference(superposition,[],[f3,f138]) ).
fof(f542,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c6,X8)) = multiply(sk_c6,X8)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f541,f536]) ).
fof(f536,plain,
( sk_c6 = sk_c7
| ~ spl10_1
| ~ spl10_2 ),
inference(forward_demodulation,[],[f535,f532]) ).
fof(f532,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl10_2 ),
inference(forward_demodulation,[],[f187,f65]) ).
fof(f187,plain,
sk_c6 = multiply(inverse(sF1),identity),
inference(superposition,[],[f152,f135]) ).
fof(f135,plain,
identity = multiply(sF1,sk_c6),
inference(superposition,[],[f2,f28]) ).
fof(f535,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f188,f61]) ).
fof(f61,plain,
( sk_c5 = sF5
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl10_1
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f188,plain,
sk_c7 = multiply(inverse(sF5),identity),
inference(superposition,[],[f152,f136]) ).
fof(f136,plain,
identity = multiply(sF5,sk_c7),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
inverse(sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f541,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c7,X8)) = multiply(sk_c6,X8)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f143,f437]) ).
fof(f143,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c7,X8)) = multiply(sk_c5,X8)
| ~ spl10_5 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl10_5 ),
inference(backward_demodulation,[],[f44,f75]) ).
fof(f75,plain,
( sk_c5 = sF9
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl10_5
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f44,plain,
multiply(sk_c6,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f562,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f560,f556]) ).
fof(f560,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f532,f551]) ).
fof(f551,plain,
( sk_c6 = sk_c5
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f538,f543]) ).
fof(f538,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5 ),
inference(backward_demodulation,[],[f134,f536]) ).
fof(f556,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f433,f551]) ).
fof(f433,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f28,f65]) ).
fof(f667,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f662]) ).
fof(f662,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(superposition,[],[f661,f1]) ).
fof(f661,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f660,f572]) ).
fof(f572,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f536,f563]) ).
fof(f660,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f659,f563]) ).
fof(f659,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| identity != inverse(X3) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f72,f563]) ).
fof(f72,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl10_4
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f658,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f657,plain,
( $false
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f652,f579]) ).
fof(f652,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f647]) ).
fof(f647,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(superposition,[],[f646,f1]) ).
fof(f646,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f645,f563]) ).
fof(f645,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f644,f563]) ).
fof(f644,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f69,f575]) ).
fof(f575,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f551,f563]) ).
fof(f69,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl10_3
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f642,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f640,f579]) ).
fof(f640,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f639,f579]) ).
fof(f639,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f631,f1]) ).
fof(f631,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(superposition,[],[f581,f2]) ).
fof(f581,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f578,f563]) ).
fof(f578,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(sk_c6,multiply(X6,sk_c6)) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f555,f563]) ).
fof(f555,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(sk_c6,multiply(X6,sk_c6)) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f79,f551]) ).
fof(f79,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6)) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl10_6
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f395,plain,
( ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f387,f282]) ).
fof(f282,plain,
( identity = inverse(identity)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f233,f268]) ).
fof(f268,plain,
( identity = sk_c6
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f213,f267]) ).
fof(f267,plain,
( ! [X0] : multiply(inverse(sF1),X0) = X0
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f266,plain,
( ! [X0] : multiply(inverse(sF1),multiply(identity,X0)) = X0
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f265,f241]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f176,f233]) ).
fof(f176,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f152,f1]) ).
fof(f265,plain,
( ! [X0] : multiply(inverse(sF1),multiply(identity,X0)) = multiply(sk_c6,X0)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f3,f213]) ).
fof(f213,plain,
( sk_c6 = multiply(inverse(sF1),identity)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f210,f211]) ).
fof(f211,plain,
( sF1 = sF5
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f203,f28]) ).
fof(f203,plain,
( inverse(sk_c6) = sF5
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f35,f202]) ).
fof(f202,plain,
( sk_c6 = sk_c7
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f133,f197]) ).
fof(f197,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f168,f196]) ).
fof(f196,plain,
( sk_c1 = sk_c2
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f195,f193]) ).
fof(f193,plain,
( sk_c1 = multiply(sF1,identity)
| ~ spl10_10 ),
inference(forward_demodulation,[],[f181,f28]) ).
fof(f181,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl10_10 ),
inference(superposition,[],[f152,f137]) ).
fof(f137,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl10_10 ),
inference(superposition,[],[f2,f131]) ).
fof(f131,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_10 ),
inference(backward_demodulation,[],[f30,f98]) ).
fof(f98,plain,
( sk_c6 = sF2
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl10_10
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f30,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f195,plain,
( sk_c2 = multiply(sF1,identity)
| ~ spl10_8 ),
inference(forward_demodulation,[],[f183,f28]) ).
fof(f183,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl10_8 ),
inference(superposition,[],[f152,f139]) ).
fof(f139,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl10_8 ),
inference(superposition,[],[f2,f130]) ).
fof(f130,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f33,f88]) ).
fof(f88,plain,
( sk_c6 = sF4
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl10_8
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f33,plain,
inverse(sk_c2) = sF4,
introduced(function_definition,[]) ).
fof(f168,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl10_5
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f132,f163]) ).
fof(f163,plain,
( sk_c6 = sk_c5
| ~ spl10_5
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f134,f161]) ).
fof(f161,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f149,f133]) ).
fof(f149,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c1,X10)) = X10
| ~ spl10_10 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c6,multiply(sk_c1,X10))
| ~ spl10_10 ),
inference(superposition,[],[f3,f137]) ).
fof(f132,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f42,f93]) ).
fof(f93,plain,
( sk_c6 = sF8
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl10_9
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f42,plain,
multiply(sk_c2,sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f133,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl10_12 ),
inference(backward_demodulation,[],[f27,f107]) ).
fof(f107,plain,
( sk_c7 = sF0
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl10_12
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f27,plain,
multiply(sk_c1,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f210,plain,
( sk_c6 = multiply(inverse(sF5),identity)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f188,f202]) ).
fof(f233,plain,
( sk_c6 = inverse(identity)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f131,f232]) ).
fof(f232,plain,
( identity = sk_c1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f193,f230]) ).
fof(f230,plain,
( ! [X7] : multiply(sF1,X7) = X7
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f216,f223]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f206,f149]) ).
fof(f206,plain,
( ! [X11] : multiply(sk_c6,X11) = multiply(sk_c1,multiply(sk_c6,X11))
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f146,f202]) ).
fof(f146,plain,
( ! [X11] : multiply(sk_c1,multiply(sk_c6,X11)) = multiply(sk_c7,X11)
| ~ spl10_12 ),
inference(superposition,[],[f3,f133]) ).
fof(f216,plain,
( ! [X7] : multiply(sk_c1,X7) = multiply(sF1,X7)
| ~ spl10_10 ),
inference(forward_demodulation,[],[f180,f28]) ).
fof(f180,plain,
( ! [X7] : multiply(sk_c1,X7) = multiply(inverse(sk_c6),X7)
| ~ spl10_10 ),
inference(superposition,[],[f152,f149]) ).
fof(f387,plain,
( identity != inverse(identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f380,f1]) ).
fof(f380,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f379,f268]) ).
fof(f379,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f378,f275]) ).
fof(f275,plain,
( identity = sk_c5
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f163,f268]) ).
fof(f378,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| identity != inverse(X4) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f69,f268]) ).
fof(f377,plain,
( ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f375,f282]) ).
fof(f375,plain,
( identity != inverse(identity)
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f365,f282]) ).
fof(f365,plain,
( identity != inverse(inverse(identity))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f361]) ).
fof(f361,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f349,f2]) ).
fof(f349,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f348,f278]) ).
fof(f278,plain,
( identity = sk_c7
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f202,f268]) ).
fof(f348,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f347,f268]) ).
fof(f347,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl10_4
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f72,f268]) ).
fof(f346,plain,
( ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f344,f282]) ).
fof(f344,plain,
( identity != inverse(identity)
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f314,f1]) ).
fof(f314,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f304,f1]) ).
fof(f304,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f303,f275]) ).
fof(f303,plain,
( ! [X6] :
( sk_c5 != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f302,f268]) ).
fof(f302,plain,
( ! [X6] :
( sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| identity != inverse(X6) )
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f79,f268]) ).
fof(f301,plain,
( spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f299,f275]) ).
fof(f299,plain,
( identity != sk_c5
| spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f62,f293]) ).
fof(f293,plain,
( identity = sF5
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f211,f289]) ).
fof(f289,plain,
( identity = sF1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f269,f282]) ).
fof(f269,plain,
( inverse(identity) = sF1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f28,f268]) ).
fof(f62,plain,
( sk_c5 != sF5
| spl10_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f291,plain,
( spl10_2
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl10_2
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f289,f277]) ).
fof(f277,plain,
( identity != sF1
| spl10_2
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f167,f268]) ).
fof(f167,plain,
( sk_c6 != sF1
| spl10_2
| ~ spl10_5
| ~ spl10_10
| ~ spl10_12 ),
inference(backward_demodulation,[],[f66,f163]) ).
fof(f66,plain,
( sk_c5 != sF1
| spl10_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f129,plain,
spl10_5,
inference(avatar_split_clause,[],[f51,f74]) ).
fof(f51,plain,
sk_c5 = sF9,
inference(definition_folding,[],[f4,f44]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f128,plain,
( spl10_1
| spl10_10 ),
inference(avatar_split_clause,[],[f36,f96,f60]) ).
fof(f36,plain,
( sk_c6 = sF2
| sk_c5 = sF5 ),
inference(definition_folding,[],[f11,f35,f30]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f127,plain,
( spl10_8
| spl10_11 ),
inference(avatar_split_clause,[],[f54,f100,f86]) ).
fof(f54,plain,
( sk_c4 = sF7
| sk_c6 = sF4 ),
inference(definition_folding,[],[f18,f33,f40]) ).
fof(f18,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f126,plain,
( spl10_7
| spl10_12 ),
inference(avatar_split_clause,[],[f57,f105,f82]) ).
fof(f57,plain,
( sk_c7 = sF0
| sk_c5 = sF3 ),
inference(definition_folding,[],[f7,f31,f27]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f125,plain,
( spl10_2
| spl10_8 ),
inference(avatar_split_clause,[],[f34,f86,f64]) ).
fof(f34,plain,
( sk_c6 = sF4
| sk_c5 = sF1 ),
inference(definition_folding,[],[f15,f28,f33]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f124,plain,
( spl10_2
| spl10_9 ),
inference(avatar_split_clause,[],[f43,f91,f64]) ).
fof(f43,plain,
( sk_c6 = sF8
| sk_c5 = sF1 ),
inference(definition_folding,[],[f20,f42,f28]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f123,plain,
( spl10_11
| spl10_12 ),
inference(avatar_split_clause,[],[f52,f105,f100]) ).
fof(f52,plain,
( sk_c7 = sF0
| sk_c4 = sF7 ),
inference(definition_folding,[],[f8,f27,f40]) ).
fof(f8,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f122,plain,
( spl10_13
| spl10_9 ),
inference(avatar_split_clause,[],[f58,f91,f111]) ).
fof(f58,plain,
( sk_c6 = sF8
| sk_c6 = sF6 ),
inference(definition_folding,[],[f24,f37,f42]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f121,plain,
( spl10_12
| spl10_2 ),
inference(avatar_split_clause,[],[f29,f64,f105]) ).
fof(f29,plain,
( sk_c5 = sF1
| sk_c7 = sF0 ),
inference(definition_folding,[],[f5,f28,f27]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f120,plain,
( spl10_13
| spl10_12 ),
inference(avatar_split_clause,[],[f38,f105,f111]) ).
fof(f38,plain,
( sk_c7 = sF0
| sk_c6 = sF6 ),
inference(definition_folding,[],[f9,f27,f37]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f119,plain,
( spl10_10
| spl10_13 ),
inference(avatar_split_clause,[],[f39,f111,f96]) ).
fof(f39,plain,
( sk_c6 = sF6
| sk_c6 = sF2 ),
inference(definition_folding,[],[f14,f37,f30]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f118,plain,
( spl10_9
| spl10_7 ),
inference(avatar_split_clause,[],[f48,f82,f91]) ).
fof(f48,plain,
( sk_c5 = sF3
| sk_c6 = sF8 ),
inference(definition_folding,[],[f22,f31,f42]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f117,plain,
( spl10_10
| spl10_7 ),
inference(avatar_split_clause,[],[f32,f82,f96]) ).
fof(f32,plain,
( sk_c5 = sF3
| sk_c6 = sF2 ),
inference(definition_folding,[],[f12,f31,f30]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f116,plain,
( spl10_8
| spl10_1 ),
inference(avatar_split_clause,[],[f49,f60,f86]) ).
fof(f49,plain,
( sk_c5 = sF5
| sk_c6 = sF4 ),
inference(definition_folding,[],[f16,f35,f33]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f115,plain,
( spl10_9
| spl10_11 ),
inference(avatar_split_clause,[],[f46,f100,f91]) ).
fof(f46,plain,
( sk_c4 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f23,f42,f40]) ).
fof(f23,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f114,plain,
( spl10_13
| spl10_8 ),
inference(avatar_split_clause,[],[f56,f86,f111]) ).
fof(f56,plain,
( sk_c6 = sF4
| sk_c6 = sF6 ),
inference(definition_folding,[],[f19,f37,f33]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f109,plain,
( spl10_10
| spl10_2 ),
inference(avatar_split_clause,[],[f53,f64,f96]) ).
fof(f53,plain,
( sk_c5 = sF1
| sk_c6 = sF2 ),
inference(definition_folding,[],[f10,f30,f28]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f108,plain,
( spl10_1
| spl10_12 ),
inference(avatar_split_clause,[],[f55,f105,f60]) ).
fof(f55,plain,
( sk_c7 = sF0
| sk_c5 = sF5 ),
inference(definition_folding,[],[f6,f35,f27]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f103,plain,
( spl10_10
| spl10_11 ),
inference(avatar_split_clause,[],[f41,f100,f96]) ).
fof(f41,plain,
( sk_c4 = sF7
| sk_c6 = sF2 ),
inference(definition_folding,[],[f13,f30,f40]) ).
fof(f13,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f94,plain,
( spl10_9
| spl10_1 ),
inference(avatar_split_clause,[],[f47,f60,f91]) ).
fof(f47,plain,
( sk_c5 = sF5
| sk_c6 = sF8 ),
inference(definition_folding,[],[f21,f35,f42]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f89,plain,
( spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f50,f86,f82]) ).
fof(f50,plain,
( sk_c6 = sF4
| sk_c5 = sF3 ),
inference(definition_folding,[],[f17,f31,f33]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f80,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3
| spl10_4
| ~ spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f45,f78,f74,f71,f68,f64,f60]) ).
fof(f45,plain,
! [X3,X6,X4] :
( sk_c6 != inverse(X6)
| sk_c5 != sF9
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c5 != sF1
| sk_c5 != sF5 ),
inference(definition_folding,[],[f26,f44,f35,f28]) ).
fof(f26,plain,
! [X3,X6,X4] :
( sk_c5 != inverse(sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X4,sk_c5) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != inverse(sk_c6)
| sk_c5 != multiply(sk_c6,X5)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X4,sk_c5)
| multiply(X6,sk_c6) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % 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 : n002.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 22:36:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (5500)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)
% 0.19/0.48 % (5492)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)
% 0.19/0.49 % (5484)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)
% 0.19/0.50 % (5479)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)
% 0.19/0.50 % (5487)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)
% 0.19/0.50 % (5488)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)
% 0.19/0.50 % (5486)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)
% 0.19/0.51 % (5485)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)
% 0.19/0.51 % (5480)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)
% 0.19/0.51 % (5483)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.34/0.52 % (5502)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)
% 1.34/0.52 % (5481)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)
% 1.34/0.52 % (5478)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.34/0.52 % (5506)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)
% 1.34/0.52 % (5494)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)
% 1.34/0.52 % (5507)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)
% 1.34/0.52 % (5492)Instruction limit reached!
% 1.34/0.52 % (5492)------------------------------
% 1.34/0.52 % (5492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (5492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (5492)Termination reason: Unknown
% 1.34/0.52 % (5492)Termination phase: Saturation
% 1.34/0.52
% 1.34/0.52 % (5492)Memory used [KB]: 1663
% 1.34/0.52 % (5492)Time elapsed: 0.084 s
% 1.34/0.52 % (5492)Instructions burned: 29 (million)
% 1.34/0.52 % (5492)------------------------------
% 1.34/0.52 % (5492)------------------------------
% 1.34/0.52 % (5486)Instruction limit reached!
% 1.34/0.52 % (5486)------------------------------
% 1.34/0.52 % (5486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (5486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (5486)Termination reason: Unknown
% 1.34/0.52 % (5486)Termination phase: Saturation
% 1.34/0.52
% 1.34/0.52 % (5486)Memory used [KB]: 5884
% 1.34/0.52 % (5486)Time elapsed: 0.137 s
% 1.34/0.52 % (5486)Instructions burned: 3 (million)
% 1.34/0.52 % (5486)------------------------------
% 1.34/0.52 % (5486)------------------------------
% 1.34/0.52 % (5488)Instruction limit reached!
% 1.34/0.52 % (5488)------------------------------
% 1.34/0.52 % (5488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (5488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (5488)Termination reason: Unknown
% 1.34/0.52 % (5488)Termination phase: Saturation
% 1.34/0.52
% 1.34/0.52 % (5488)Memory used [KB]: 6012
% 1.34/0.52 % (5488)Time elapsed: 0.138 s
% 1.34/0.52 % (5488)Instructions burned: 6 (million)
% 1.34/0.52 % (5488)------------------------------
% 1.34/0.52 % (5488)------------------------------
% 1.34/0.53 % (5503)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)
% 1.34/0.53 % (5498)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)
% 1.34/0.53 % (5504)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)
% 1.34/0.53 % (5499)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)
% 1.34/0.53 % (5498)Instruction limit reached!
% 1.34/0.53 % (5498)------------------------------
% 1.34/0.53 % (5498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (5498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (5498)Termination reason: Unknown
% 1.34/0.53 % (5498)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (5498)Memory used [KB]: 1407
% 1.34/0.53 % (5498)Time elapsed: 0.140 s
% 1.34/0.53 % (5498)Instructions burned: 7 (million)
% 1.34/0.53 % (5498)------------------------------
% 1.34/0.53 % (5498)------------------------------
% 1.34/0.53 % (5503)Refutation not found, incomplete strategy% (5503)------------------------------
% 1.34/0.53 % (5503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (5503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (5503)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.53
% 1.34/0.53 % (5503)Memory used [KB]: 6012
% 1.34/0.53 % (5503)Time elapsed: 0.142 s
% 1.34/0.53 % (5503)Instructions burned: 6 (million)
% 1.34/0.53 % (5503)------------------------------
% 1.34/0.53 % (5503)------------------------------
% 1.34/0.53 % (5496)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)
% 1.34/0.53 % (5480)Instruction limit reached!
% 1.34/0.53 % (5480)------------------------------
% 1.34/0.53 % (5480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (5480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (5480)Termination reason: Unknown
% 1.34/0.53 % (5480)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (5480)Memory used [KB]: 5884
% 1.34/0.53 % (5480)Time elapsed: 0.135 s
% 1.34/0.53 % (5480)Instructions burned: 5 (million)
% 1.34/0.53 % (5480)------------------------------
% 1.34/0.53 % (5480)------------------------------
% 1.34/0.53 % (5504)Refutation not found, incomplete strategy% (5504)------------------------------
% 1.34/0.53 % (5504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (5495)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.52/0.53 % (5489)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)
% 1.52/0.53 % (5490)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)
% 1.52/0.53 % (5493)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)
% 1.52/0.53 % (5491)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)
% 1.52/0.54 % (5490)Instruction limit reached!
% 1.52/0.54 % (5490)------------------------------
% 1.52/0.54 % (5490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 TRYING [1]
% 1.52/0.54 TRYING [2]
% 1.52/0.54 % (5493)Instruction limit reached!
% 1.52/0.54 % (5493)------------------------------
% 1.52/0.54 % (5493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (5491)Instruction limit reached!
% 1.52/0.54 % (5491)------------------------------
% 1.52/0.54 % (5491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (5493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (5491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (5493)Termination reason: Unknown
% 1.52/0.54 % (5491)Termination reason: Unknown
% 1.52/0.54 % (5493)Termination phase: Finite model building SAT solving
% 1.52/0.54 % (5491)Termination phase: Saturation
% 1.52/0.54
% 1.52/0.54
% 1.52/0.54 % (5493)Memory used [KB]: 6012
% 1.52/0.54 % (5491)Memory used [KB]: 5884
% 1.52/0.54 % (5493)Time elapsed: 0.149 s
% 1.52/0.54 % (5491)Time elapsed: 0.153 s
% 1.52/0.54 % (5493)Instructions burned: 8 (million)
% 1.52/0.54 % (5491)Instructions burned: 4 (million)
% 1.52/0.54 % (5493)------------------------------
% 1.52/0.54 % (5493)------------------------------
% 1.52/0.54 % (5491)------------------------------
% 1.52/0.54 % (5491)------------------------------
% 1.52/0.54 % (5490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (5490)Termination reason: Unknown
% 1.52/0.54 % (5490)Termination phase: Saturation
% 1.52/0.54
% 1.52/0.54 % (5490)Memory used [KB]: 5884
% 1.52/0.54 % (5490)Time elapsed: 0.152 s
% 1.52/0.54 % (5490)Instructions burned: 5 (million)
% 1.52/0.54 % (5490)------------------------------
% 1.52/0.54 % (5490)------------------------------
% 1.52/0.54 % (5482)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)
% 1.52/0.54 % (5478)First to succeed.
% 1.52/0.54 % (5494)Instruction limit reached!
% 1.52/0.54 % (5494)------------------------------
% 1.52/0.54 % (5494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (5494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (5494)Termination reason: Unknown
% 1.52/0.54 % (5494)Termination phase: Saturation
% 1.52/0.54
% 1.52/0.54 % (5494)Memory used [KB]: 1279
% 1.52/0.54 % (5494)Time elapsed: 0.003 s
% 1.52/0.54 % (5494)Instructions burned: 2 (million)
% 1.52/0.54 % (5494)------------------------------
% 1.52/0.54 % (5494)------------------------------
% 1.52/0.54 % (5483)Instruction limit reached!
% 1.52/0.54 % (5483)------------------------------
% 1.52/0.54 % (5483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (5483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (5483)Termination reason: Unknown
% 1.52/0.54 % (5483)Termination phase: Saturation
% 1.52/0.54
% 1.52/0.54 % (5483)Memory used [KB]: 6140
% 1.52/0.54 % (5483)Time elapsed: 0.141 s
% 1.52/0.54 % (5483)Instructions burned: 26 (million)
% 1.52/0.54 % (5483)------------------------------
% 1.52/0.54 % (5483)------------------------------
% 1.52/0.54 % (5506)Instruction limit reached!
% 1.52/0.54 % (5506)------------------------------
% 1.52/0.54 % (5506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (5506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (5506)Termination reason: Unknown
% 1.52/0.54 % (5506)Termination phase: Saturation
% 1.52/0.54
% 1.52/0.54 % (5506)Memory used [KB]: 6268
% 1.52/0.54 % (5506)Time elapsed: 0.161 s
% 1.52/0.54 % (5506)Instructions burned: 21 (million)
% 1.52/0.54 % (5506)------------------------------
% 1.52/0.54 % (5506)------------------------------
% 1.52/0.55 % (5504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (5504)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.55
% 1.52/0.55 % (5504)Memory used [KB]: 5884
% 1.52/0.55 % (5504)Time elapsed: 0.142 s
% 1.52/0.55 % (5504)Instructions burned: 3 (million)
% 1.52/0.55 % (5504)------------------------------
% 1.52/0.55 % (5504)------------------------------
% 1.52/0.55 % (5495)Instruction limit reached!
% 1.52/0.55 % (5495)------------------------------
% 1.52/0.55 % (5495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (5495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (5495)Termination reason: Unknown
% 1.52/0.55 % (5495)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (5495)Memory used [KB]: 6012
% 1.52/0.55 % (5495)Time elapsed: 0.163 s
% 1.52/0.55 % (5495)Instructions burned: 9 (million)
% 1.52/0.55 % (5495)------------------------------
% 1.52/0.55 % (5495)------------------------------
% 1.52/0.55 % (5497)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)
% 1.52/0.55 % (5505)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)
% 1.52/0.56 % (5484)Instruction limit reached!
% 1.52/0.56 % (5484)------------------------------
% 1.52/0.56 % (5484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (5484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (5484)Termination reason: Unknown
% 1.52/0.56 % (5484)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (5484)Memory used [KB]: 1663
% 1.52/0.56 % (5484)Time elapsed: 0.101 s
% 1.52/0.56 % (5484)Instructions burned: 49 (million)
% 1.52/0.56 % (5484)------------------------------
% 1.52/0.56 % (5484)------------------------------
% 1.52/0.56 % (5478)Refutation found. Thanks to Tanya!
% 1.52/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.52/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56 % (5478)------------------------------
% 1.52/0.56 % (5478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (5478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (5478)Termination reason: Refutation
% 1.52/0.56
% 1.52/0.56 % (5478)Memory used [KB]: 6140
% 1.52/0.56 % (5478)Time elapsed: 0.139 s
% 1.52/0.56 % (5478)Instructions burned: 21 (million)
% 1.52/0.56 % (5478)------------------------------
% 1.52/0.56 % (5478)------------------------------
% 1.52/0.56 % (5477)Success in time 0.214 s
%------------------------------------------------------------------------------