TSTP Solution File: GRP365-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP365-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 51
% Syntax : Number of formulae : 209 ( 4 unt; 0 def)
% Number of atoms : 796 ( 236 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1149 ( 562 ~; 570 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f506,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f54,f63,f68,f69,f78,f79,f80,f81,f86,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f117,f118,f119,f120,f121,f122,f222,f248,f270,f278,f285,f398,f407,f441,f461,f489,f499,f505]) ).
fof(f505,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f502]) ).
fof(f502,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f501,f419]) ).
fof(f419,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(backward_demodulation,[],[f310,f396]) ).
fof(f396,plain,
( sk_c6 = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl0_17
<=> sk_c6 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f310,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f301,f62]) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f301,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f300,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f300,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f286]) ).
fof(f286,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
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(f501,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f500,f396]) ).
fof(f500,plain,
( sk_c6 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f57,f313]) ).
fof(f313,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f85,f310]) ).
fof(f85,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_10
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f57,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f499,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f497,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f495,f410]) ).
fof(f410,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_6
| ~ spl0_17 ),
inference(backward_demodulation,[],[f62,f396]) ).
fof(f495,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f490,f39]) ).
fof(f490,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c6 != multiply(X5,sk_c6) )
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f110,f396]) ).
fof(f110,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f489,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f487]) ).
fof(f487,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f485,f421]) ).
fof(f421,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(backward_demodulation,[],[f316,f396]) ).
fof(f316,plain,
( sk_c6 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f58,f313]) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f485,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f483,f410]) ).
fof(f483,plain,
( sk_c6 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f481]) ).
fof(f481,plain,
( sk_c6 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f464,f39]) ).
fof(f464,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f463,f313]) ).
fof(f463,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
| sk_c6 != inverse(X4) )
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f462,f396]) ).
fof(f462,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f107,f396]) ).
fof(f107,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_12
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f461,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f457,f410]) ).
fof(f457,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f455]) ).
fof(f455,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f445,f39]) ).
fof(f445,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f444,f313]) ).
fof(f444,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f443,f396]) ).
fof(f443,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f113,f396]) ).
fof(f113,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_14
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f441,plain,
( ~ spl0_6
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f440,plain,
( $false
| ~ spl0_6
| spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f439]) ).
fof(f439,plain,
( sk_c6 != sk_c6
| ~ spl0_6
| spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f424,f410]) ).
fof(f424,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f393,f396]) ).
fof(f393,plain,
( sk_c6 != multiply(sk_c3,sk_c8)
| spl0_16 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl0_16
<=> sk_c6 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f407,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f406,f83,f71,f65,f60,f46,f37,f395]) ).
fof(f46,plain,
( spl0_3
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f65,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f71,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f406,plain,
( sk_c6 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f403,f315]) ).
fof(f315,plain,
( sk_c6 = multiply(sk_c8,sk_c2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f73,f313]) ).
fof(f73,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f403,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f303,f48]) ).
fof(f48,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f302,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f288]) ).
fof(f288,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f398,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f387,f115,f37,f395,f391]) ).
fof(f115,plain,
( spl0_15
<=> ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f387,plain,
( sk_c6 != sk_c8
| sk_c6 != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f116,f39]) ).
fof(f116,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f285,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f283]) ).
fof(f283,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f282,f1]) ).
fof(f282,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( sk_c6 != multiply(identity,sk_c6)
| sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f280,f230]) ).
fof(f230,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f147,f210]) ).
fof(f210,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f203,f149]) ).
fof(f149,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f124,f141]) ).
fof(f141,plain,
( sk_c6 = sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f138,f58]) ).
fof(f138,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f134,f52]) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f134,plain,
( ! [X10] : multiply(sk_c8,multiply(sk_c4,X10)) = X10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X10] : multiply(sk_c8,multiply(sk_c4,X10)) = multiply(identity,X10)
| ~ spl0_11 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f203,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f157,f189]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f155,f150]) ).
fof(f150,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c4,X10)) = X10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f134,f141]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c6,X0)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f3,f145]) ).
fof(f145,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f77,f141]) ).
fof(f77,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f3,f148]) ).
fof(f148,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f123,f141]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f147,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f90,f141]) ).
fof(f280,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c6) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f279,f141]) ).
fof(f279,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c6)
| sk_c8 != inverse(X7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f116,f141]) ).
fof(f278,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f275,f1]) ).
fof(f275,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f273,f230]) ).
fof(f273,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f272,f141]) ).
fof(f272,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c6 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f271,f209]) ).
fof(f209,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f203,f144]) ).
fof(f144,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f58,f141]) ).
fof(f271,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c8 != inverse(X6) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f113,f141]) ).
fof(f270,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f267,f1]) ).
fof(f267,plain,
( sk_c6 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( sk_c6 != multiply(identity,sk_c6)
| sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f249,f230]) ).
fof(f249,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c6 != multiply(X5,sk_c6) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f110,f141]) ).
fof(f248,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f242,f164]) ).
fof(f164,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f157,f145]) ).
fof(f242,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f241,plain,
( sk_c6 != multiply(sk_c6,multiply(identity,sk_c6))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f240,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c6,multiply(identity,sk_c6))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f225,f230]) ).
fof(f225,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f224,f209]) ).
fof(f224,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(sk_c6,multiply(X4,sk_c6)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f223,f141]) ).
fof(f223,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f107,f141]) ).
fof(f222,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f220]) ).
fof(f220,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f167,f209]) ).
fof(f167,plain,
( sk_c6 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f146,f164]) ).
fof(f146,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f84,f141]) ).
fof(f84,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f122,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f25,f60,f50]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f121,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f11,f71,f88]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f120,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f13,f71,f41]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f119,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f50,f71]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f118,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f26,f88,f60]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f117,plain,
( ~ spl0_10
| spl0_12
| spl0_13
| ~ spl0_5
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f115,f112,f56,f109,f106,f83]) ).
fof(f35,plain,
! [X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| multiply(sk_c6,sk_c8) != sk_c7
| sk_c8 != multiply(X5,sk_c6) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c6 != inverse(X5)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,X3)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(X7,sk_c8)
| multiply(sk_c6,sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f104,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f56,f83]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f103,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f21,f88,f65]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f102,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f65,f56]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f101,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f6,f83,f88]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f100,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f65,f75]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f99,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f56,f46]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f98,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f46,f75]) ).
fof(f17,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f97,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f83,f50]) ).
fof(f5,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f96,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f32,f37,f75]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f95,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f30,f37,f50]) ).
fof(f30,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f94,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f56,f71]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f93,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f7,f83,f75]) ).
fof(f7,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f92,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f31,f37,f88]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f91,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f46,f88]) ).
fof(f16,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f86,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f8,f83,f41]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f81,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f60,f41]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f80,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f75,f60]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f79,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f41,f65]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f78,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f12,f75,f71]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f69,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f29,f37,f56]) ).
fof(f29,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f68,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f50,f65]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f63,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f60,f56]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f54,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f46,f41]) ).
fof(f18,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f50,f46]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f41,f37]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP365-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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 21:50:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (6370)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)
% 0.20/0.48 % (6370)Instruction limit reached!
% 0.20/0.48 % (6370)------------------------------
% 0.20/0.48 % (6370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (6364)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)
% 0.20/0.50 % (6370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (6370)Termination reason: Unknown
% 0.20/0.50 % (6370)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (6370)Memory used [KB]: 5884
% 0.20/0.50 % (6370)Time elapsed: 0.086 s
% 0.20/0.50 % (6370)Instructions burned: 6 (million)
% 0.20/0.50 % (6370)------------------------------
% 0.20/0.50 % (6370)------------------------------
% 0.20/0.53 % (6379)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)
% 0.20/0.54 % (6379)Instruction limit reached!
% 0.20/0.54 % (6379)------------------------------
% 0.20/0.54 % (6379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (6379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6379)Termination reason: Unknown
% 0.20/0.54 % (6379)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (6379)Memory used [KB]: 6012
% 0.20/0.54 % (6379)Time elapsed: 0.126 s
% 0.20/0.54 % (6379)Instructions burned: 7 (million)
% 0.20/0.54 % (6379)------------------------------
% 0.20/0.54 % (6379)------------------------------
% 0.20/0.55 % (6364)Instruction limit reached!
% 0.20/0.55 % (6364)------------------------------
% 0.20/0.55 % (6364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (6364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (6364)Termination reason: Unknown
% 0.20/0.55 % (6364)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (6364)Memory used [KB]: 6268
% 0.20/0.55 % (6364)Time elapsed: 0.135 s
% 0.20/0.55 % (6364)Instructions burned: 34 (million)
% 0.20/0.55 % (6364)------------------------------
% 0.20/0.55 % (6364)------------------------------
% 0.20/0.55 % (6365)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55 % (6362)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)
% 0.20/0.55 % (6362)Instruction limit reached!
% 0.20/0.55 % (6362)------------------------------
% 0.20/0.55 % (6362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6378)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)
% 0.20/0.56 % (6381)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)
% 0.20/0.56 % (6362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6362)Termination reason: Unknown
% 0.20/0.56 % (6362)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (6362)Memory used [KB]: 5884
% 0.20/0.56 % (6362)Time elapsed: 0.004 s
% 0.20/0.56 % (6362)Instructions burned: 4 (million)
% 0.20/0.56 % (6362)------------------------------
% 0.20/0.56 % (6362)------------------------------
% 0.20/0.57 % (6373)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)
% 0.20/0.57 % (6371)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)
% 0.20/0.57 % (6373)Instruction limit reached!
% 0.20/0.57 % (6373)------------------------------
% 0.20/0.57 % (6373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6373)Termination reason: Unknown
% 0.20/0.57 % (6373)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (6373)Memory used [KB]: 5884
% 0.20/0.57 % (6373)Time elapsed: 0.006 s
% 0.20/0.57 % (6373)Instructions burned: 3 (million)
% 0.20/0.57 % (6373)------------------------------
% 0.20/0.57 % (6373)------------------------------
% 0.20/0.59 % (6369)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)
% 0.20/0.59 % (6365)First to succeed.
% 0.20/0.59 % (6368)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)
% 0.20/0.59 % (6368)Instruction limit reached!
% 0.20/0.59 % (6368)------------------------------
% 0.20/0.59 % (6368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6368)Termination reason: Unknown
% 0.20/0.59 % (6368)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (6368)Memory used [KB]: 5884
% 0.20/0.59 % (6368)Time elapsed: 0.003 s
% 0.20/0.59 % (6368)Instructions burned: 3 (million)
% 0.20/0.59 % (6368)------------------------------
% 0.20/0.59 % (6368)------------------------------
% 0.20/0.60 % (6365)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (6365)------------------------------
% 0.20/0.60 % (6365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (6365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (6365)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (6365)Memory used [KB]: 6140
% 0.20/0.60 % (6365)Time elapsed: 0.166 s
% 0.20/0.60 % (6365)Instructions burned: 18 (million)
% 0.20/0.60 % (6365)------------------------------
% 0.20/0.60 % (6365)------------------------------
% 0.20/0.60 % (6359)Success in time 0.239 s
%------------------------------------------------------------------------------