TSTP Solution File: GRP335-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP335-1 : 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 : n024.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 16:21:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 55
% Syntax : Number of formulae : 295 ( 6 unt; 0 def)
% Number of atoms : 1502 ( 354 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 2423 (1216 ~;1186 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 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 : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f790,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f74,f83,f88,f92,f97,f101,f106,f111,f112,f113,f118,f119,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f242,f257,f269,f281,f294,f413,f490,f647,f666,f684,f705,f727,f757]) ).
fof(f757,plain,
( ~ spl3_1
| spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f756,plain,
( $false
| ~ spl3_1
| spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f752]) ).
fof(f752,plain,
( sk_c7 != sk_c7
| ~ spl3_1
| spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f730,f572]) ).
fof(f572,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f526,f558]) ).
fof(f558,plain,
( sk_c7 = sk_c8
| ~ spl3_1
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f555,f529]) ).
fof(f529,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13 ),
inference(backward_demodulation,[],[f96,f527]) ).
fof(f527,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f65,f526]) ).
fof(f65,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f96,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl3_13
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f555,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl3_1
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f45,f552]) ).
fof(f552,plain,
( sk_c1 = sk_c2
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f547,f550]) ).
fof(f550,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_15 ),
inference(superposition,[],[f155,f325]) ).
fof(f325,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_15 ),
inference(superposition,[],[f2,f105]) ).
fof(f105,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_15
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f155,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f148,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f148,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(f547,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_10 ),
inference(superposition,[],[f155,f323]) ).
fof(f323,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl3_10 ),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_10
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f45,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_1
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f526,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl3_1
| ~ spl3_10 ),
inference(forward_demodulation,[],[f524,f82]) ).
fof(f524,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl3_1 ),
inference(superposition,[],[f155,f45]) ).
fof(f730,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_1
| spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f729,f558]) ).
fof(f729,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl3_1
| spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(forward_demodulation,[],[f58,f527]) ).
fof(f58,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl3_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f727,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f725]) ).
fof(f725,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f723,f593]) ).
fof(f593,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f577,f591]) ).
fof(f591,plain,
( identity = sk_c1
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f584,f2]) ).
fof(f584,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f550,f576]) ).
fof(f576,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f575,f2]) ).
fof(f575,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f531,f558]) ).
fof(f531,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f166,f527]) ).
fof(f166,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl3_4 ),
inference(superposition,[],[f155,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f577,plain,
( identity = inverse(sk_c1)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f105,f576]) ).
fof(f723,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f712]) ).
fof(f712,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f708,f1]) ).
fof(f708,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f707,f576]) ).
fof(f707,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f706,f585]) ).
fof(f585,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f558,f576]) ).
fof(f706,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f69,f585]) ).
fof(f69,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl3_7
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f705,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f703,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f700,f593]) ).
fof(f700,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f690]) ).
fof(f690,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(superposition,[],[f687,f1]) ).
fof(f687,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f686,f580]) ).
fof(f580,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f527,f576]) ).
fof(f686,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f685,f576]) ).
fof(f685,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f91,f576]) ).
fof(f91,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl3_12
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f684,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f682]) ).
fof(f682,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f678,f1]) ).
fof(f678,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f677]) ).
fof(f677,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f676,f593]) ).
fof(f676,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f672,f593]) ).
fof(f672,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f669,f2]) ).
fof(f669,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f668,f576]) ).
fof(f668,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f667,f585]) ).
fof(f667,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f127,f585]) ).
fof(f127,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl3_18
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f666,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f661,f593]) ).
fof(f661,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f655,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f603,f1]) ).
fof(f603,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f602,f576]) ).
fof(f602,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f562,f576]) ).
fof(f562,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f100,f558]) ).
fof(f100,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl3_14
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f647,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_9
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_9
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f645]) ).
fof(f645,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_9
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f619,f1]) ).
fof(f619,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_9
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f586,f616]) ).
fof(f616,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f615,f1]) ).
fof(f615,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f614,f605]) ).
fof(f605,plain,
( identity = sk_c4
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f604,f2]) ).
fof(f604,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f569,f576]) ).
fof(f569,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f169,f558]) ).
fof(f169,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl3_16 ),
inference(superposition,[],[f155,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl3_16 ),
inference(superposition,[],[f2,f110]) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_16
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f614,plain,
( sk_c5 = multiply(sk_c4,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(forward_demodulation,[],[f559,f576]) ).
fof(f559,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_6
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f49,f558]) ).
fof(f49,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl3_2
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f586,plain,
( identity != multiply(identity,sk_c5)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| spl3_9
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f560,f576]) ).
fof(f560,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| ~ spl3_1
| ~ spl3_6
| spl3_9
| ~ spl3_10
| ~ spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f77,f558]) ).
fof(f77,plain,
( sk_c7 != multiply(sk_c8,sk_c5)
| spl3_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_9
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f490,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f488,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f465,f376]) ).
fof(f376,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f349,f372]) ).
fof(f372,plain,
( identity = sk_c4
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f353,f2]) ).
fof(f353,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f305,f345]) ).
fof(f345,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f341,f2]) ).
fof(f341,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f304,f338]) ).
fof(f338,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f297,f337]) ).
fof(f337,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f335,f82]) ).
fof(f335,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_9
| ~ spl3_16 ),
inference(superposition,[],[f155,f307]) ).
fof(f307,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f45,f296]) ).
fof(f296,plain,
( sk_c7 = sk_c8
| ~ spl3_2
| ~ spl3_9
| ~ spl3_16 ),
inference(backward_demodulation,[],[f295,f78]) ).
fof(f78,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f295,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl3_2
| ~ spl3_16 ),
inference(backward_demodulation,[],[f171,f110]) ).
fof(f171,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_2 ),
inference(superposition,[],[f155,f49]) ).
fof(f297,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_16 ),
inference(backward_demodulation,[],[f57,f296]) ).
fof(f304,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_16 ),
inference(backward_demodulation,[],[f166,f296]) ).
fof(f305,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_16 ),
inference(backward_demodulation,[],[f169,f296]) ).
fof(f349,plain,
( identity = inverse(sk_c4)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f299,f345]) ).
fof(f299,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_16 ),
inference(backward_demodulation,[],[f110,f296]) ).
fof(f465,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f454,f1]) ).
fof(f454,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f440,f1]) ).
fof(f440,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f439,f345]) ).
fof(f439,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f438,f348]) ).
fof(f348,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f296,f345]) ).
fof(f438,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f127,f348]) ).
fof(f413,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f411]) ).
fof(f411,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f408,f346]) ).
fof(f346,plain,
( identity = inverse(sk_c2)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f82,f345]) ).
fof(f408,plain,
( identity != inverse(sk_c2)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( identity != identity
| identity != inverse(sk_c2)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f370,f355]) ).
fof(f355,plain,
( identity = multiply(sk_c2,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_16 ),
inference(backward_demodulation,[],[f307,f345]) ).
fof(f370,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f368,f345]) ).
fof(f368,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f339,f345]) ).
fof(f339,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f91,f338]) ).
fof(f294,plain,
( ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(superposition,[],[f291,f1]) ).
fof(f291,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f290,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f289,f220]) ).
fof(f220,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f207,f218]) ).
fof(f218,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f211,f2]) ).
fof(f211,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f192,f204]) ).
fof(f204,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f183,f203]) ).
fof(f203,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f202,f2]) ).
fof(f202,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f168,f186]) ).
fof(f186,plain,
( sk_c7 = sk_c8
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f173,f185]) ).
fof(f185,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f78,f183]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f170,f117]) ).
fof(f117,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl3_17
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f170,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_11 ),
inference(superposition,[],[f155,f87]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl3_11
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f168,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_9 ),
inference(superposition,[],[f155,f78]) ).
fof(f183,plain,
( sk_c7 = sk_c5
| ~ spl3_2
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f181,f87]) ).
fof(f181,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| ~ spl3_2
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f49,f177]) ).
fof(f177,plain,
( sk_c3 = sk_c4
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f169,f167]) ).
fof(f167,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl3_17 ),
inference(superposition,[],[f155,f145]) ).
fof(f145,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl3_17 ),
inference(superposition,[],[f2,f117]) ).
fof(f192,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f167,f186]) ).
fof(f207,plain,
( identity = inverse(sk_c3)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f188,f204]) ).
fof(f188,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f117,f186]) ).
fof(f289,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f287,f220]) ).
fof(f287,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(superposition,[],[f284,f2]) ).
fof(f284,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f283,f204]) ).
fof(f283,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f282,f205]) ).
fof(f205,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f186,f204]) ).
fof(f282,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f127,f205]) ).
fof(f281,plain,
( ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f279]) ).
fof(f279,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f277,f220]) ).
fof(f277,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f273]) ).
fof(f273,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f272,f1]) ).
fof(f272,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f271,f204]) ).
fof(f271,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f270,f205]) ).
fof(f270,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f69,f205]) ).
fof(f269,plain,
( ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f266,f220]) ).
fof(f266,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f265,f220]) ).
fof(f265,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f260,f2]) ).
fof(f260,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f259,f205]) ).
fof(f259,plain,
( ! [X4] :
( sk_c8 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f258,f204]) ).
fof(f258,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f100,f204]) ).
fof(f257,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f254,f220]) ).
fof(f254,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f253,f220]) ).
fof(f253,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f251,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f245,f2]) ).
fof(f245,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f244,f212]) ).
fof(f212,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f193,f204]) ).
fof(f193,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f174,f186]) ).
fof(f174,plain,
( sk_c8 = sk_c6
| ~ spl3_4
| ~ spl3_11
| ~ spl3_17 ),
inference(backward_demodulation,[],[f57,f173]) ).
fof(f244,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f243,f204]) ).
fof(f243,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f91,f204]) ).
fof(f242,plain,
( ~ spl3_2
| ~ spl3_4
| spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f240,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f214,f1]) ).
fof(f214,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_4
| spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f195,f204]) ).
fof(f195,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_4
| spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f176,f186]) ).
fof(f176,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl3_4
| spl3_6
| ~ spl3_11
| ~ spl3_17 ),
inference(backward_demodulation,[],[f66,f174]) ).
fof(f66,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f143,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f8,f47,f64]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f142,plain,
( spl3_17
| spl3_13 ),
inference(avatar_split_clause,[],[f12,f94,f115]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f141,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f32,f47,f80]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f140,plain,
( spl3_4
| spl3_15 ),
inference(avatar_split_clause,[],[f16,f103,f56]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f139,plain,
( spl3_6
| spl3_4 ),
inference(avatar_split_clause,[],[f4,f56,f64]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f138,plain,
( spl3_1
| spl3_9 ),
inference(avatar_split_clause,[],[f25,f76,f43]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f137,plain,
( spl3_15
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f47,f103]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f136,plain,
( spl3_2
| spl3_13 ),
inference(avatar_split_clause,[],[f14,f94,f47]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f135,plain,
( spl3_10
| spl3_4 ),
inference(avatar_split_clause,[],[f28,f56,f80]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f134,plain,
( spl3_6
| spl3_17 ),
inference(avatar_split_clause,[],[f6,f115,f64]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f133,plain,
( spl3_13
| spl3_11 ),
inference(avatar_split_clause,[],[f11,f85,f94]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f132,plain,
( spl3_15
| spl3_17 ),
inference(avatar_split_clause,[],[f18,f115,f103]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f131,plain,
( spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f5,f64,f85]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f130,plain,
( spl3_11
| spl3_15 ),
inference(avatar_split_clause,[],[f17,f103,f85]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f129,plain,
( spl3_4
| spl3_13 ),
inference(avatar_split_clause,[],[f10,f94,f56]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f128,plain,
( spl3_18
| spl3_8 ),
inference(avatar_split_clause,[],[f38,f71,f126]) ).
fof(f71,plain,
( spl3_8
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f38,plain,
! [X7] :
( sP1
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f124,plain,
( spl3_1
| spl3_16 ),
inference(avatar_split_clause,[],[f27,f108,f43]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f123,plain,
( spl3_9
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f64,f76]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f122,plain,
( spl3_16
| spl3_10 ),
inference(avatar_split_clause,[],[f33,f80,f108]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f121,plain,
( spl3_1
| spl3_17 ),
inference(avatar_split_clause,[],[f24,f115,f43]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f120,plain,
( spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f22,f43,f56]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f119,plain,
( spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f23,f85,f43]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f118,plain,
( spl3_10
| spl3_17 ),
inference(avatar_split_clause,[],[f30,f115,f80]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f113,plain,
( spl3_16
| spl3_6 ),
inference(avatar_split_clause,[],[f9,f64,f108]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f112,plain,
( spl3_13
| spl3_16 ),
inference(avatar_split_clause,[],[f15,f108,f94]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f111,plain,
( spl3_16
| spl3_15 ),
inference(avatar_split_clause,[],[f21,f103,f108]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f106,plain,
( spl3_9
| spl3_15 ),
inference(avatar_split_clause,[],[f19,f103,f76]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f101,plain,
( spl3_3
| spl3_14 ),
inference(avatar_split_clause,[],[f40,f99,f52]) ).
fof(f52,plain,
( spl3_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f40,plain,
! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sP2 ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f97,plain,
( spl3_13
| spl3_9 ),
inference(avatar_split_clause,[],[f13,f76,f94]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f92,plain,
( spl3_5
| spl3_12 ),
inference(avatar_split_clause,[],[f36,f90,f60]) ).
fof(f60,plain,
( spl3_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f36,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f88,plain,
( spl3_11
| spl3_10 ),
inference(avatar_split_clause,[],[f29,f80,f85]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f83,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f31,f80,f76]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f74,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f41,f71,f68,f64,f60,f56,f52]) ).
fof(f41,plain,
! [X5] :
( ~ sP1
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0
| sk_c6 != multiply(sk_c8,sk_c7)
| ~ sP2 ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f39,plain,
! [X4,X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f37,plain,
! [X7,X4,X5] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c8,X6)
| sk_c7 != multiply(X5,sk_c8)
| multiply(X7,sk_c8) != X6
| sk_c8 != inverse(X7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f50,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f26,f47,f43]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP335-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:27:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (7297)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)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 % (7320)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)
% 0.19/0.47 % (7319)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)
% 0.19/0.48 % (7312)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)
% 0.19/0.48 % (7303)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)
% 0.19/0.48 % (7304)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 TRYING [1]
% 0.19/0.48 TRYING [2]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 TRYING [4]
% 0.19/0.50 TRYING [4]
% 0.19/0.51 % (7308)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)
% 0.19/0.51 % (7307)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (7310)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (7304)Instruction limit reached!
% 0.19/0.51 % (7304)------------------------------
% 0.19/0.51 % (7304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7304)Termination reason: Unknown
% 0.19/0.51 % (7304)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (7304)Memory used [KB]: 5500
% 0.19/0.51 % (7304)Time elapsed: 0.106 s
% 0.19/0.51 % (7304)Instructions burned: 8 (million)
% 0.19/0.51 % (7304)------------------------------
% 0.19/0.51 % (7304)------------------------------
% 0.19/0.51 % (7303)Instruction limit reached!
% 0.19/0.51 % (7303)------------------------------
% 0.19/0.51 % (7303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7303)Termination reason: Unknown
% 0.19/0.51 % (7303)Termination phase: Finite model building SAT solving
% 0.19/0.51
% 0.19/0.51 % (7303)Memory used [KB]: 7036
% 0.19/0.51 % (7303)Time elapsed: 0.060 s
% 0.19/0.51 % (7303)Instructions burned: 51 (million)
% 0.19/0.51 % (7303)------------------------------
% 0.19/0.51 % (7303)------------------------------
% 0.19/0.51 % (7309)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (7316)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)
% 0.19/0.52 % (7301)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (7302)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)
% 0.19/0.52 % (7300)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)
% 0.19/0.52 % (7299)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)
% 0.19/0.53 % (7306)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)
% 0.19/0.53 % (7325)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (7317)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)
% 0.19/0.53 % (7324)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)
% 0.19/0.54 % (7326)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)
% 0.19/0.54 % (7323)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)
% 0.19/0.54 % (7322)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 TRYING [5]
% 0.19/0.54 % (7318)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (7315)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (7314)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (7311)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)
% 0.19/0.54 % (7321)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (7298)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)
% 0.19/0.56 % (7305)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (7305)Instruction limit reached!
% 0.19/0.56 % (7305)------------------------------
% 0.19/0.56 % (7305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (7305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (7305)Termination reason: Unknown
% 0.19/0.56 % (7305)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (7305)Memory used [KB]: 895
% 0.19/0.56 % (7305)Time elapsed: 0.002 s
% 0.19/0.56 % (7305)Instructions burned: 2 (million)
% 0.19/0.56 % (7305)------------------------------
% 0.19/0.56 % (7305)------------------------------
% 0.19/0.56 % (7307)First to succeed.
% 0.19/0.56 % (7313)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)
% 0.19/0.56 % (7307)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (7307)------------------------------
% 0.19/0.56 % (7307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (7307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (7307)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (7307)Memory used [KB]: 5756
% 0.19/0.56 % (7307)Time elapsed: 0.162 s
% 0.19/0.56 % (7307)Instructions burned: 24 (million)
% 0.19/0.56 % (7307)------------------------------
% 0.19/0.56 % (7307)------------------------------
% 0.19/0.56 % (7296)Success in time 0.215 s
%------------------------------------------------------------------------------