TSTP Solution File: GRP352-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP352-1 : 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 : n006.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 16:15:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 45
% Syntax : Number of formulae : 221 ( 4 unt; 0 def)
% Number of atoms : 879 ( 229 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1303 ( 645 ~; 642 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f47,f52,f57,f62,f63,f68,f69,f74,f75,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f107,f215,f224,f231,f238,f244,f337,f370,f377,f408,f430,f431,f459,f501,f520,f533,f541]) ).
fof(f541,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f536]) ).
fof(f536,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f535,f475]) ).
fof(f475,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(backward_demodulation,[],[f394,f420]) ).
fof(f420,plain,
( sk_c6 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f419,plain,
( spl0_17
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f394,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f262,f67]) ).
fof(f67,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f261,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f261,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f249]) ).
fof(f249,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f2,f79]) ).
fof(f79,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_10
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f535,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f534,f277]) ).
fof(f277,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f33,f275]) ).
fof(f275,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f260,f51]) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f259,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f246]) ).
fof(f246,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_3
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f33,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_1
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f534,plain,
( sk_c6 != multiply(sk_c6,sk_c5)
| spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f60,f420]) ).
fof(f60,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_7
<=> multiply(sk_c6,sk_c5) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f533,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f531]) ).
fof(f531,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f530,f1]) ).
fof(f530,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f529]) ).
fof(f529,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f365,f424]) ).
fof(f424,plain,
( sk_c6 = inverse(identity)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl0_18
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f365,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f277]) ).
fof(f106,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_14
<=> ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f520,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f515,f419,f49,f40,f423]) ).
fof(f515,plain,
( sk_c6 = inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(backward_demodulation,[],[f42,f507]) ).
fof(f507,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f484,f246]) ).
fof(f484,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(backward_demodulation,[],[f260,f483]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f478,f260]) ).
fof(f478,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(backward_demodulation,[],[f451,f420]) ).
fof(f451,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = multiply(sk_c4,X0)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f253,f260]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_5 ),
inference(superposition,[],[f3,f51]) ).
fof(f501,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f499,plain,
( sk_c6 != sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f477,f490]) ).
fof(f490,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f469,f484]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c6,X0)
| ~ spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[],[f254,f420]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_8 ),
inference(superposition,[],[f3,f67]) ).
fof(f477,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(backward_demodulation,[],[f434,f420]) ).
fof(f434,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f433,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f103,f79]) ).
fof(f103,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_13
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f459,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f458,f77,f65,f49,f40,f419]) ).
fof(f458,plain,
( sk_c6 = sk_c7
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f51,f457]) ).
fof(f457,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f453,f394]) ).
fof(f453,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f253,f275]) ).
fof(f431,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f429,f99,f77,f65]) ).
fof(f99,plain,
( spl0_12
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f429,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f428,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f100,f79]) ).
fof(f100,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f430,plain,
( ~ spl0_17
| ~ spl0_5
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f427,f99,f40,f49,f419]) ).
fof(f427,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| sk_c6 != sk_c7
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f100,f42]) ).
fof(f408,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f407,f96,f49,f40]) ).
fof(f96,plain,
( spl0_11
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f407,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f400]) ).
fof(f400,plain,
( sk_c6 != inverse(sk_c4)
| sk_c7 != sk_c7
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f97,f51]) ).
fof(f97,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f377,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f375,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f374,f1]) ).
fof(f374,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f373]) ).
fof(f373,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f372,f310]) ).
fof(f310,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f42,f302]) ).
fof(f302,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f291,f246]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f114,f290]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f288,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_6
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f288,plain,
( ! [X0] : multiply(multiply(sk_c6,sk_c2),X0) = multiply(sk_c2,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f274,f277]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(multiply(sk_c5,sk_c2),X0)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f273,f1]) ).
fof(f273,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c2),X0) = multiply(sk_c2,multiply(identity,X0))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f3,f143]) ).
fof(f143,plain,
( multiply(sk_c5,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f111,f108]) ).
fof(f111,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f46]) ).
fof(f46,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_4
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f114,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f108]) ).
fof(f372,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f371,f311]) ).
fof(f311,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f309,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f51,f302]) ).
fof(f371,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f311]) ).
fof(f370,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f368,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f367,f1]) ).
fof(f367,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f366]) ).
fof(f366,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f365,f310]) ).
fof(f337,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(trivial_inequality_removal,[],[f335]) ).
fof(f335,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f245,f311]) ).
fof(f245,plain,
( sk_c6 != sk_c7
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f60,f117]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f114,f46]) ).
fof(f244,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f242]) ).
fof(f242,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f241,f1]) ).
fof(f241,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f240,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f239,f194]) ).
fof(f194,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f123,f187]) ).
fof(f187,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f174,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f109,f120]) ).
fof(f120,plain,
( sk_c6 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f61,f117]) ).
fof(f61,plain,
( multiply(sk_c6,sk_c5) = sk_c7
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f109,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_9
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f174,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f127,f165]) ).
fof(f165,plain,
( ! [X1] : multiply(sk_c1,X1) = X1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f125,f127]) ).
fof(f125,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f110,f120]) ).
fof(f110,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f116,f120]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f109]) ).
fof(f123,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f73,f120]) ).
fof(f239,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f201]) ).
fof(f201,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f197,plain,
( sk_c5 = multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f46,f192]) ).
fof(f192,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f108,f174]) ).
fof(f238,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f236,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f235,f1]) ).
fof(f235,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f234]) ).
fof(f234,plain,
( sk_c6 != multiply(identity,sk_c6)
| sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f233,f194]) ).
fof(f233,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f232,f120]) ).
fof(f232,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f120]) ).
fof(f231,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f229]) ).
fof(f229,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f228,f1]) ).
fof(f228,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f227]) ).
fof(f227,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f226,f194]) ).
fof(f226,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c6 != multiply(X5,sk_c6) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f225,f120]) ).
fof(f225,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f120]) ).
fof(f224,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f222]) ).
fof(f222,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f221,f1]) ).
fof(f221,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f220]) ).
fof(f220,plain,
( sk_c6 != multiply(identity,sk_c6)
| sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f218,f194]) ).
fof(f218,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c6) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f120]) ).
fof(f215,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f135,f201]) ).
fof(f135,plain,
( sk_c6 != sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f121,f133]) ).
fof(f133,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f127,f122]) ).
fof(f122,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f37,f120]) ).
fof(f121,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f32,f120]) ).
fof(f32,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f107,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_11
| spl0_12
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f99,f96,f31,f59]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X6,sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c6 != inverse(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f94,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f77,f59]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f93,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f44,f77]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f92,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f7,f59,f49]) ).
fof(f7,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f91,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f21,f65,f44]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f90,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f14,f31,f71]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f89,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f27,f54,f49]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f88,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f65,f71]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f87,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f13,f40,f35]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f86,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f11,f65,f35]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f85,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f35,f77]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f84,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f28,f40,f54]) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f83,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f77,f54]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f82,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f59,f65]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f81,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f19,f31,f44]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f80,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f15,f77,f71]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f75,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f49,f71]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f74,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f40,f71]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f69,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f35,f49]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f68,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f54,f65]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f63,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f59,f40]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f62,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f4,f31,f59]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f57,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f54,f31]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f52,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f44,f49]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f47,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f44,f40]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f31]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP352-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:24:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (24644)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)
% 0.19/0.47 % (24662)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.48 % (24652)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 % (24648)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 % (24656)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)
% 0.19/0.51 % (24664)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)
% 0.19/0.51 % (24655)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)
% 0.19/0.51 % (24649)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (24656)Instruction limit reached!
% 0.19/0.51 % (24656)------------------------------
% 0.19/0.51 % (24656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24647)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (24647)Refutation not found, incomplete strategy% (24647)------------------------------
% 0.19/0.51 % (24647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24656)Termination reason: Unknown
% 0.19/0.51 % (24656)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (24656)Memory used [KB]: 5884
% 0.19/0.51 % (24656)Time elapsed: 0.130 s
% 0.19/0.51 % (24656)Instructions burned: 6 (million)
% 0.19/0.51 % (24656)------------------------------
% 0.19/0.51 % (24656)------------------------------
% 0.19/0.52 % (24647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24647)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (24647)Memory used [KB]: 5884
% 0.19/0.52 % (24647)Time elapsed: 0.124 s
% 0.19/0.52 % (24647)Instructions burned: 4 (million)
% 0.19/0.52 % (24647)------------------------------
% 0.19/0.52 % (24647)------------------------------
% 0.19/0.52 % (24662)First to succeed.
% 0.19/0.52 % (24662)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (24662)------------------------------
% 0.19/0.52 % (24662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24662)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (24662)Memory used [KB]: 10618
% 0.19/0.52 % (24662)Time elapsed: 0.123 s
% 0.19/0.52 % (24662)Instructions burned: 17 (million)
% 0.19/0.52 % (24662)------------------------------
% 0.19/0.52 % (24662)------------------------------
% 0.19/0.52 % (24639)Success in time 0.178 s
%------------------------------------------------------------------------------